Mathematics Alumni

Degree Awarded 1916

Advisor: H. J. Ettlinger, M. B. Porter, E. L. Dodd
Dissertation: Functions of limited variation and Lebesgue integrals

Degree Awarded 1923

Advisor: R. L. Moore
Dissertation: Concerning continuous curves

Degree Awarded 1925

Advisor: R. L. Moore
Dissertation: The double elliptic case of the Lie-Riemann-Helmholtz-Hilbert problem of the foundations of geometry.

Degree Awarded 1927

Advisor: R. L. Moore
Dissertation: Concerning continua in the plane

Advisor: H. J. Ettlinger
Dissertation: Linear boundary value problems for ordinary differential equations and their associated difference equations

Degree Awarded 1929

Advisor: H. J. Ettlinger
Dissertation: Properties of Solutions of an Infinite System of Ordinary Linear Differential Equations of the First Order with Auxiliary Boundary Conditions

Advisor: R. L. Moore
Dissertation: Concerning non-dense plane continua

Degree Awarded 1930

Advisor: R. L. Moore
Dissertation: On the existence of acyclic curves satisfying certain conditions with respect to a given continuous curve

Advisor: R. L. Moore
Dissertation: Some metric properties of descriptive planes

Degree Awarded 1931

Advisor: H. J. Ettlinger
Dissertation: A study of the mathematical processes used in sixteen gainful occupations in Nashville, Tennessee

Degree Awarded 1932

Advisor: R. L. Moore
Dissertation: Spaces in which there exists contiguous points

Advisor: R. L. Moore
Dissertation: Spaces in which there exist uncountable

Degree Awarded 1933

Advisor: R. L. Moore
Dissertation: Simply connected sets

Degree Awarded 1935

Advisor: R. L. Moore
Dissertation: Concerning R. L. Moore's Axiom 5_1

Degree Awarded 1937

Advisor: H. J. Ettlinger
Dissertation: Non-unique solutions of first order ordinary differential equations

Degree Awarded 1939

Advisor: E. G. Keller
Dissertation: The double-slot, salient field pole problem of the dynamo-electric machine

Advisor: H. J. Ettlinger
Dissertation: The oscillation of solutions of the general self-adjoint differential equation of the fourth order with special boundary conditions

Advisor: S. L. Brown__
Dissertation: Solution of analytic and differential equations by harmonic processes

Degree Awarded 1941

Advisor: H. S. Vandiver
Dissertation: Substitutes for the commutative law in the theory of semi-groups

Advisor: R. L. Moore
Dissertation: On compact unicoherent continua

Advisor: R. L. Moore
Dissertation: Concerning triodic continua

Advisor: R. L. Moore
Dissertation: I. Proper and reductive transformations. II. Continua obtained from sequences of simple chains of point sets. III. Distance axioms in Moore spaces. IV. Linear metric space. V. A space in which there may exist uncountable convergent sequences of points

Degree Awarded 1942

Advisor: R. L. Moore
Dissertation: Concerning the outer boundaries of certain connected domains

Degree Awarded 1945

Advisor: R. L. Moore
Dissertation: Concerning simple plane webbs

Degree Awarded 1947

Advisor: R. L. Moore
Dissertation: An indecomposable Plane Continuum

Degree Awarded 1948

Advisor: R. L. Moore
Dissertation: Concerning upper semi-continuous collections of continua

Degree Awarded 1949

Advisor: R. L. Moore
Dissertation: Concerning Abstract Spaces

Degree Awarded 1950

Advisor: Hubert S. Wall
Dissertation: Some convergence regions for a continued fraction

Advisor: Hubert S. Wall
Dissertation: Sequences of points in the complex plane

Advisor: Simpson Brown
Dissertation: The investigation of mathematical functions with a harmonic synthesizer

Degree Awarded 1951

Advisor: H. J. Ettlinger
Dissertation: Holmgren-Riesz transform

Advisor: H. J. Ettlinger
Dissertation: Ordinary differential equations of non-integral order

Advisor: R. L. Moore
Dissertation: Concerning continua and their complementary domains in the plane

Advisor: H. S. Vandiver
Dissertation: On the number of solutions of some general types of equations in a finite field

Advisor: Hubert S. Wall
Dissertation: Continued fractions in which the elements are operators in a linear space

Degree Awarded 1952

Advisor: R. L. Moore
Dissertation: Concerning continuous and equicontinuous collections of arcs

Advisor: R. L. Moore
Dissertation: Certain conditions under which the sum of the elements of a

Advisor: R. L. Moore
Dissertation: Concerning webs in the plane

Advisor: Hubert S. Wall
Dissertation: Uniform completeness of sets of reciprocals of linear functions

Degree Awarded 1953

Advisor: R. N. Haskell
Dissertation: Sub-Biharmonic Functions

Advisor: H. J. Ettlinger
Dissertation: A second-order theory for three-dimensional wings in supersonic flow

Advisor: R. L. Moore
Dissertation: Flat spaces for which the Jordan curve theorem holds true

Advisor: Homer V. Craig
Dissertation: Certain metric extensors

Degree Awarded 1954

Advisor: H. J. Ettlinger
Dissertation: Partial integro-differential equations and the H-R transform

Advisor: H. S. Vandiver
Dissertation: Generating functions for restricted partitions and the Von Sterneck number

Advisor: E. W. Titt
Dissertation: Integration formulae for the hyperbolic partial differential equation with four independent variables and regions interior to the cone

Advisor: William T. Guy, Jr. and Homer V. Craig
Dissertation: Stieltjes integral representation of convex functions

Degree Awarded 1955

Advisor: E. W. Titt
Dissertation: Integration formulae and boundary conditions for the elliptic parabolic partial differential equation with three independent variables

Advisor: William T. Guy, Jr.
Dissertation: On the Hankel transform

Advisor: R. L. Moore
Dissertation: Concerning spirals in the plane

Advisor: R. L. Moore
Dissertation: A connected point set in the plane which spirals down on each of its points

Advisor: E. W. Titt
Dissertation: Integration formulae and boundary conditions for the hyperbolic equation with three independent variables and regions exterior to the cone

Degree Awarded 1956

Advisor: R. L. Moore
Dissertation: On spirals in the plane

Advisor: E. W. Titt
Dissertation: Integration formulae and boundary conditions for the hyperbolic differential equation with three independent variables and regions interior to the cone

Advisor: Hubert S. Wall
Dissertation: Some convergence sets for a continued fraction

Advisor: H. S. Vandiver
Dissertation: The application of cosets and correspondence in the theory of semi-groups

Degree Awarded 1957

Advisor: H. J. Ettlinger
Dissertation: Interated Holmgren-Riesz transforms in two dimensions

Advisor: Hubert S. Wall
Dissertation: Continued fractions with absolutely convergent even or odd part

Advisor: H. S. Vandiver
Dissertation: Interrelations between the numbers of Bell, Bernoulli, Euler, Fibonacci, and Lucas

Advisor: R. L. Moore
Dissertation: A theorem on spirals in plane

Advisor: Hubert S. Wall
Dissertation: Continuous products and nonlinear integral equations

Degree Awarded 1958

Advisor: Hubert S. Wall
Dissertation: Concerning integrals

Advisor: H. J. Ettlinger
Dissertation: Operator matrices and systems of linear partial differential equations

Advisor: Hubert S. Wall
Dissertation: Some convergence theorems for continued fractions

Advisor: R. L. Moore
Dissertation: Concerning locally peripherally separable spaces

Advisor: H. J. Ettlinger
Dissertation: Absolutely continuous solutions of Uxy=f(x,y,u,u_x ,u_y )

Advisor: Hubert S. Wall
Dissertation: Concerning the Hausdorff inclusion problem

Advisor: R. L. Moore
Dissertation: Concerning dense metric subspaces of certain nonmetric spaces

Degree Awarded 1959

Advisor: Hubert S. Wall
Dissertation: Product Integrals

Advisor: R. L. Moore
Dissertation: Proof that every compact continuum which is topologically equivalent to each of its nondegenerate subcontinua is an arc

Degree Awarded 1960

Advisor: William T. Guy, Jr.
Dissertation: On Inversion of the Laplace Transformation by means of a step function

Advisor: Hubert S. Wall
Dissertation: Concerning polynomial sequences and the distribution of their zeros

Advisor: H. J. Ettlinger
Dissertation: Solutions of a system of two nonlinear partial differential equations of the first order, with accessory boundary equations

Advisor: Alfred Schild
Dissertation: On the consequences of momentum conservation laws in a gravitational theory of the Whitehead type

Advisor: R. E. Lane
Dissertation: A Hellinger Integral representation for bounded linear functionals

Degree Awarded 1961

Advisor: Hubert S. Wall
Dissertation: Concerning the uniform polynomial approximation of a bounded function

Advisor: Hubert S. Wall
Dissertation: Solutions of analytic equations and solutions of first order, analytic differential equations

Advisor: R. E. Greenwood
Dissertation: Some Marginal Distributions associated with permutation cycles

Advisor: Hubert S. Wall
Dissertation: A convergence problem for continued fractions

Advisor: H. J. Ettlinger
Dissertation: Relationships and analogue between the finite calculus and the limit calculus of polynomials

Advisor: H. J. Ettlinger
Dissertation: An Existence and Uniqueness Theorem for Integro-partial differential equations

Advisor: R. L. Moore
Dissertation: Concerning scattered point sets

Degree Awarded 1962

Advisor: Hubert S. Wall
Dissertation: On Sequence to Sequence Transformations

Advisor: R. L. Moore
Dissertation: On the most general plane closed point set through which it is possible to pass a pseudo-arc

Advisor: R. L. Moore
Dissertation: Continuumwise Accessibility

Advisor: Hubert S. Wall
Dissertation: Integral Equations in Normed Abelian Groups

Advisor: Hubert S. Wall
Dissertation: Convergent Chain Sequences

Advisor: Don E. Edmondson
Dissertation: Structure theorems for Boolian Matrices

Advisor: H. B. Curtis
Dissertation: On the problem of Type and the Uniformizing Function for Certain Riemann Surfaces

Advisor: H. B. Curtis
Dissertation: A Topological space of analytic functions

Advisor: R. E. Lane
Dissertation: The integral of a function with respect to a function pair

Advisor: William T. Guy, Jr.
Dissertation: A Representation Theorem for the Laplace Transform

Degree Awarded 1963

Advisor: H. B. Curtis
Dissertation: A class of Riemann surfaces

Advisor: Hubert S. Wall
Dissertation: Concerning Completely Convex Sets

Advisor: Don E. Edmondson
Dissertation: Structure theorems for a class of groups

Advisor: Hubert S. Wall
Dissertation: A study of the structure of linear spaces

Advisor: Hubert S. Wall
Dissertation: Some Theorems on functional analysis

Advisor: David M. Young, Jr.
Dissertation: The Block Symmetric Successive Overrelaxation Method

Advisor: H. J. Ettlinger
Dissertation: Some Generalized Green's Functions

Advisor: Hubert S. Wall
Dissertation: Concerning a Functional Inequality

Advisor: Hubert S. Wall
Dissertation: Concerning a mean integral

Advisor: William T. Guy, Jr.
Dissertation: A class of integral transforms for functions which are O(e^bt2 ) as t-> infinity

Advisor: Hubert S. Wall
Dissertation: An Integral of a function with respect to a function in a rectangular interval

Degree Awarded 1964

Advisor: Hubert S. Wall
Dissertation: On the mean integral

Advisor: Hubert S. Wall
Dissertation: Orthogonality in normed linear spaces

Advisor: William T. Guy, Jr.
Dissertation: A generalization of the Laplace transform

Advisor: James E. Scroggs
Dissertation: A Banach algebra of analytic functions

Advisor: Hubert S. Wall
Dissertation: Cauchy sequences in abstract spaces

Advisor: H. J. Ettlinger
Dissertation: On the Abel equation in n-dimensions, n equal or more than 2

Advisor: Robert E. Greenwood
Dissertation: Concerning certain lattice paths and lattice point theorems

Advisor: Don E. Edmondson
Dissertation: Psuedo-Metric axioms of a Euclidean geometry

Advisor: Robert T. Gregory
Dissertation: On the tridiagonalizaton of a non-Hermitian matrix using similarity transformations

Advisor: H. J. Ettlinger
Dissertation: On the mixed partial derivative operator and its inverse

Advisor: Alfred Schild
Dissertation: Degenerate fields with twisting rays

Degree Awarded 1965

Advisor: R. L. Moore
Dissertation: Concerning uncountable collections of triods

Advisor: R. L. Moore
Dissertation: Complete amonotonic collections

Advisor: Don E. Edmondson
Dissertation: On the lattice of continuous functions on a completely regular G(d)-space

Advisor: Robert T. Gregory
Dissertation: A model for a fact retrieval system

Advisor: William T. Guy, Jr.
Dissertation: A generalization of the finite Fourier transformations

Advisor: Hubert S. Wall
Dissertation: A generalization of the real-number axioms

Advisor: Robert T. Gregory
Dissertation: Syntax-directed translation for experimental programming languages

Advisor: R. L. Moore
Dissertation: Concerning upper semi-continuous collections of finite point sets

Advisor: Hubert S. Wall
Dissertation: An integral

Advisor: H. J. Ettlinger
Dissertation: Operation solution of partial derivative equations of hyperbolic and parabolic type

Advisor: Hubert S. Wall
Dissertation: Uniform completeness of sets generated by a single function

Degree Awarded 1966

Advisor: Patrick L. Odell
Dissertation: Contributions to the theory of pseudo inverses

Advisor: Homer V. Craig
Dissertation: Contribution to the theory of extensive differentiation and related topics

Advisor: Milo W. Weaver
Dissertation: A lattice of partitions on a group

Advisor: Don E. Edmondson
Dissertation: Compact integral domains with finite characteristic

Advisor: R. L. Moore
Dissertation: Concerning the sides from which certain sequences of arcs converge to a compact irreducible continuum

Advisor: Don E. Edmondson
Dissertation: (f)-derivations on a ring

Advisor: Patrick L. Odell
Dissertation: Contributions to the theory of numerical simulation

Advisor: David M. Young, Jr.
Dissertation: Error bounds on numerical solutions of Dirichlet problems for quasilinear elliptic equations

Advisor: William T. Guy, Jr.
Dissertation: The Holmgren-Riesz transform and its applications

Advisor: Clarence Coates, Jr. and Patrick L. Odell
Dissertation: Realization of sequential machines with threshold elements

Advisor: Hubert S. Wall
Dissertation: Concerning sequence to sequence transformations

Advisor: Elliott Ward Cheney, Jr.
Dissertation: A study of operators in approximation theory

Advisor: H. J. Ettlinger
Dissertation: Concerning the nonlinear differential equations H^1 (x)= f(x;H(x)), with elements in E^2

Advisor: Patrick L. Odell
Dissertation: Application of the theory of generalized matrix inversion to statistics

Advisor: Don E. Edmondson
Dissertation: A structure problem in asymptotic analysis

Advisor: Don E. Edmondson
Dissertation: Automorphisms of a class of finite groups

Advisor: Patrick L. Odell
Dissertation: Weighted generalized inverses with minimal p and q norms

Advisor: William T. Guy, Jr.
Dissertation: Numerical inversion of the Laplace transform by the use of Jacobi polynomials

Advisor: Hubert S. Wall
Dissertation: A substitution theorem for a Stieltjes integral

Advisor: Howard E. Lacey
Dissertation: Spaces of continuous functions on dispersed sets

Advisor: Hubert S. Wall
Dissertation: Pointwise limits of sequences of continuous functions

Advisor: Hubert S. Wall
Dissertation: Concerning pointwise limits of sequences of functions

Advisor: Hubert S. Wall
Dissertation: Concerning the value regions associated with a certain type of continued fraction

Advisor: R. L. Moore
Dissertation: A space whose regions are the simple domains of another space

Advisor: Don E. Edmondson
Dissertation: Congruences on an inverse semigroup

Advisor: R. L. Moore
Dissertation: Reversibly continuous bisensed transformations of an annulus into itself

Advisor: William T. Guy, Jr.
Dissertation: Block partitioned matrix theory and solution of systems of certain partial differential equations

Advisor: Hubert S. Wall
Dissertation: Linear transformations in a function space

Advisor: Patrick L. Odell
Dissertation: Interval estimation of a stimulus levels of order infinity in sensitivity testing

Advisor: Hubert S. Wall
Dissertation: Pointwise limits of quasi-continuous functions

Advisor: H. J. Ettlinger
Dissertation: An integral equation and the related differential equation boundary problem

Advisor: Elliott Ward Cheney, Jr.
Dissertation: Continuity of metric projections' approximation theory in a normed linear lattice

Degree Awarded 1967

Advisor: Hubert S. Wall
Dissertation: Concerning metric spaces

Advisor: Hubert S. Wall
Dissertation: Concerning connected simple graphs

Advisor: Robert T. Gregory
Dissertation: Matrix scaling with respect to the maximum-norm, the sum-norm,

Advisor: Hubert S. Wall
Dissertation: A theorem concerning product integrals

Advisor: R. L. Moore
Dissertation: Concerning compact point sets with noncompact closures

Advisor: Hubert S. Wall
Dissertation: Certain linear transformations in a space of functions of two variables

Advisor: Roy P. Kerr
Dissertation: Killing vectors in empty, algebraically special Einstein manifolds with diverging ray congruences

Advisor: Roy P. Kerr
Dissertation: Homogeneous dust filled cosmological models

Advisor: Howard E. Lacey
Dissertation: Compact Hausdorff spaces which are supports of regular Borel measures

Advisor: R. L. Moore
Dissertation: Certain web-like continua

Advisor: Hubert S. Wall
Dissertation: Bounded slope variation and the Hellinger integral

Advisor: Howard B. Curtis, Jr.
Dissertation: Representation of uniformizing functions for certain simply and doubly connected Riemann surfaces

Advisor: Howard B. Curtis, Jr.
Dissertation: Fatou values of normal subharmonic functions

Advisor: Homer V. Craig
Dissertation: Contributions to the theory of higher degree extensors and related topics

Advisor: Don E. Edmondson
Dissertation: Homomorphic images of compactly generated lattices

Advisor: R. L. Moore
Dissertation: Holes in two-dimensional space

Advisor: Hubert S. Wall
Dissertation: Concerning lengths for continuous and noncontinuous curves

Advisor: Hubert S. Wall
Dissertation: A characterization of inner product spaces

Advisor: Hubert S. Wall
Dissertation: A representation theorem for bounded linear functionals

Degree Awarded 1968

Advisor: Howard E. Lacey
Dissertation: A study of left-prime ideals in topological rings

Advisor: Elliott Ward Cheney, Jr.
Dissertation: Some uncomplemented subspaces of C(X) of the type C(Y)

Advisor: Howard E. Lacey
Dissertation: Compact convex sets and continuous affine functions

Advisor: Hubert S. Wall
Dissertation: Existence of product integrals

Advisor: William T. Guy, Jr.
Dissertation: Infinite series transformations and their applications

Advisor: Hubert S. Wall
Dissertation: Inner product-type transformations

Advisor: Hubert S. Wall
Dissertation: Concerning an integral and number sets dense in an interval

Advisor: William T. Guy, Jr.
Dissertation: The two-dimensional Z transform with real domain and parameters

Advisor: Howard E. Lacey
Dissertation: Functors in categories of Banach spaces

Advisor: Robert E. Greenwood
Dissertation: Pseudo-mixing sequences of random variables

Advisor: Hubert S. Wall
Dissertation: Concerning pointwise discontinuous functions

Advisor: R. L. Moore
Dissertation: Concerning the separation of certain plane-like spaces by compact dendrons

Advisor: Howard E. Lacey
Dissertation: Spaces of Affine continuous functions

Advisor: Howard E. Lacey
Dissertation: Regular Borel measures on compact spaces

Advisor: William T. Guy, Jr.
Dissertation: An operational calculus on real valued set functions

Advisor: H. J. Ettlinger
Dissertation: On the Perron integral and solutions to partial differential equations

Advisor: Howard B. Curtis, Jr.
Dissertation: Some normal families of rational functions

Advisor: H. J. Ettlinger
Dissertation: Perron type differential and integral inequalities

Advisor: R. L. Moore
Dissertation: Concerning uncountable collections of mutually exclusive compact continua

Advisor: Hubert S. Wall
Dissertation: On a generalization of continuity

Advisor: Howard B. Curtis, Jr.
Dissertation: Rings of analytic functions

Advisor: William T. Guy, Jr.
Dissertation: Numerical calculation of the Laplace transform by the use of Legendre polynomials

Advisor: Elliott Ward Cheney, Jr.
Dissertation: On the (beta)-topology on C(X)

Degree Awarded 1969

Advisor: William T. Guy, Jr.
Dissertation: On properties of certain testing spaces

Advisor: Milo W. Weaver
Dissertation: Orbit-like relations on binary and N-ary groups

Advisor: Hubert S. Wall
Dissertation: Concerning Stieltjes Integrals

Advisor: William T. Guy, Jr.
Dissertation: Generalized functions of two discrete variables

Advisor: R. L. Moore
Dissertation: Concerning certain plane-like domains

Advisor: Robert T. Gregory
Dissertation: Bounds and location theorems of the Eigenvalues of matrices partitioned into blocks

Advisor: Abraham Charnes
Dissertation: On some unimodular and boolean mathematical programming problems

Advisor: Don E. Edmondson
Dissertation: The structure of Hjelmslev space: a generalization of projective space

Advisor: Hubert S. Wall
Dissertation: On Baire systems of functions

Advisor: Hubert S. Wall
Dissertation: Concerning simple graphs dense in the plane

Advisor: Hubert S. Wall and R. L. Moore
Dissertation: Some separation theorems

Advisor: Hubert S. Wall
Dissertation: Convergence regions and value regions for continued fractions

Advisor: John R. Durbin
Dissertation: Factor coverings of groups

Advisor: Don E. Edmondson
Dissertation: Some results in Brouwerian lattices

Advisor: R. L. Moore
Dissertation: Concerning indecomposable continua and upper semi-continuous

Advisor: Woodrow W. Bledsoe
Dissertation: The regularity of a product measure using regular conditional measure

Degree Awarded 1970

Advisor: Elliott Ward Cheney, Jr.
Dissertation: Extensions and projections in spaces of continuous functions

Advisor: Woodrow W. Bledsoe
Dissertation: Some theoretical aspects of automatic theorem proving

Advisor: Robert E. Greenwood
Dissertation: The rectilinear crossing number for complete simple graphs in E2

Advisor: John R. Durbin
Dissertation: Groups with a characteristic cyclic series

Advisor: Robert T. Gregory
Dissertation: Preliminary investigations using interval arithmetic in the numerical evaluations of polynomials

Advisor: Hubert S. Wall
Dissertation: Concerning linear and nonlinear sequence to sequence transformations

Advisor: Robert E. Greenwood
Dissertation: Finite sets with special minimal properties

Advisor: Hubert S. Wall
Dissertation: On length and variation of simple graphs

Advisor: Efraim Armendariz
Dissertation: Restricted semiprimary rings

Advisor: Abraham Charnes
Dissertation: Goal programming and satisficing models in economic analysis

Advisor: David M. Young, Jr.
Dissertation: A multiplicity-independent, global iteration for meromorphic functions

Advisor: Roy P. Kerr
Dissertation: p-points in topological spaces

Advisor: Robert E. Greenwood
Dissertation: Numerical integration of analytic functions

Advisor: Elliott Ward Cheney, Jr.
Dissertation: Projections and approximation in a normed linear space

Advisor: David M. Young, Jr.
Dissertation: Finite-difference methods for a harmonic mixed boundary value problem

Advisor: Roy P. Kerr
Dissertation: Sequential function spaces

Degree Awarded 1971

Advisor: John R. Durbin
Dissertation: Conjugacy theorems in locally finite groups

Advisor: Howard V. Craig
Dissertation: On certain extensor structures in the calculus of variations

Advisor: Woodrow W. Bledsoe
Dissertation: Locking: a restriction of resolution

Advisor: Robert E. Greenwood
Dissertation: Group exponential polynominals and enumeration of paths on a lattice

Advisor: Abraham Charnes
Dissertation: Non-cooperative game theory and industrial competition

Advisor: Galen L. Seever
Dissertation: Contractive projections in abstract Banach function spaces

Advisor: William T. Guy, Jr.
Dissertation: A generalized Mellin transform

Advisor: Hubert S. Wall
Dissertation: Concerning continued fractions

Advisor: David M. Young, Jr.
Dissertation: An analysis of a class of norms of iterative methods for systems of linear equations

Advisor: Efraim Armendariz
Dissertation: Maximal quotient rings and S-rings

Advisor: Howard E. Lacey
Dissertation: On some classes of Banach spaces whose duals are abstract L-spaces

Advisor: Don E. Edmondson
Dissertation: Modularity and decomposition of semilattices

Advisor: William T. Guy, Jr.
Dissertation: Laplace-Stieltjes transform of Mikusinski operator functions

Degree Awarded 1972

Advisor: Woodrow. W. Bledsoe
Dissertation: Equality atom term locking

Advisor: Sterling. K. Berberian
Dissertation: On maximal rings of quotients of finite Baer*-rings

Advisor: Robert E. Greenwood
Dissertation: Numerical integration facilitated by polynominals in e(^x)

Advisor: George G. Lorentz
Dissertation: Interpolation of operators in function spaces

Advisor: Abraham Charnes
Dissertation: A mathematical theory of coalitions and Competition in Resource Development

Advisor: Howard E. Lacey and Hubert S. Wall
Dissertation: Some summability theorems concerning a certain class of sequences

Degree Awarded 1973

Advisor: Robert E. Greenwood
Dissertation: On a Menger graph distance problem

Advisor: Stephen J. McAdam
Dissertation: Chains of primes in a Noetherian domain

Advisor: Peter W. M. John
Dissertation: On resistance of balanced incomplete block designs

Advisor: William T. Guy, Jr.
Dissertation: On tensors and extensors having complex components

Degree Awarded 1974

Advisor: William T. Eaton
Dissertation: Sums of solid n-spheres

Advisor: Larry L. Schumaker
Dissertation: Structure and characterization of pLq-splines

Advisor: John R. Cannon
Dissertation: The numerical approximation of certain parabolic equations backward in time via Sobolev equations

Advisor: John R. Durbin
Dissertation: Representations of wreath products

Advisor: John E. Gilbert
Dissertation: Harmonic analysis on SO(3)

Advisor: Elliott Ward Cheney, Jr.
Dissertation: Optimization of the Lagrange interpolation process

Advisor: John E. Gilbert
Dissertation: Topics in harmonic analysis with applications to abstract Besov and Sobolev spaces

Advisor: John E. Gilbert
Dissertation: Stone-Weierstrass properties in some commutative Banach algebras

Degree Awarded 1975

Advisor: Larry L. Schumaker
Dissertation: Discrete polynomial spline approximation methods

Advisor: Newcomb Greenleaf
Dissertation: Automorphism groups of compact Klein surfaces with boundary

Advisor: Newcomb Greenleaf
Dissertation: Fundamental domains and projective structures on compact Klein surfaces

Advisor: Abraham Charnes
Dissertation: Topics in network scheduling

Degree Awarded 1976

Advisor: John R. Durbin
Dissertation: Wreath products with supersolvable automorphism groups

Degree Awarded 1977

Advisor: Ralph E. Showalter
Dissertation: A degenerate evolution equation for fluid flow in multi-porous media

Advisor: Abraham Charnes
Dissertation: Goal interval methods for some problems of economic policy and stabilization

Advisor: R. H. Bing
Dissertation: Stable homeomorphisms on the pseudo-arc

Advisor: Howard E. Lacey
Dissertation: Studies in local unconditional structure in Banach spaces and characterizations of complex predual L1-spaces

Advisor: Newcomb Greenleaf
Dissertation: Difference relations and algebra: a constructive study

Advisor: Ralph E. Showalter
Dissertation: Galerkin approximation of some nonlinear partial differential equations modeling long waves in shallow water

Advisor: Abraham Charnes
Dissertation: Entropic solutions and disruption solutions for n-person games

Advisor: Peter W. M. John
Dissertation: Topics in partially balanced designs

Degree Awarded 1978

Advisor: Anthony A. Iarrobino
Dissertation: Hilbert functions of vector spaces of forms

Advisor: R. H. Bing
Dissertation: Some properties of patched 2-spheres

Advisor: Klaus R. Bichteler
Dissertation: Sample path properties of continuous local Martingales

Advisor: Charles N. Friedman
Dissertation: Asymptomatic behavior of solutions of the radical Schroedinger equation and applications to long-range potential scattering

Degree Awarded 1979

Advisor: John D. Dollard
Dissertation: Quantum-mechanical scattering theory for long-range oscillatory potentials

Advisor: Ralph E. Showalter
Dissertation: Implicit degenerate evolution equations in Hilbert spaces

Advisor: Don E. Edmondson
Dissertation: Unique periodic solutions of a class of differential equations and composite solutions of a system of partial differential equations

Advisor: James W. Vick
Dissertation: Smooth group actions of prime order and fixed point sets

Degree Awarded 1980

Advisor: John E. Gilbert
Dissertation: Conjugate Hankel transforms and Hp-theory

Advisor: Stephen J. McAdam
Dissertation: Prime divisors and the altitude formula

Degree Awarded 1981

Advisor: Michael P. Starbird
Dissertation: Countable cellular decomposition of S^(s)

Advisor: George G. Lorentz
Dissertation: Rolle's theorem for Birkoff systems

Advisor: Ralph E. Showalter
Dissertation: Degenerate evolution equations and inequalities

Advisor: Michael P. Starbird
Dissertation: The theory of block complexes with an application to manifold splittings

Advisor: Peter W. M. John
Dissertation: Trace optimality in non-orthogonal blocking designs of two-level factorial experiments

Advisor: Jeffrey D. Vaaler
Dissertation: Limit theorems for sequences of divisor distributions
Placement: Univ. of Tennesee

Degree Awarded 1982

Advisor: Abraham Charnes
Dissertation: On some economic distribution and network problems

Advisor: Howard E. Lacey and John E. Gilbert
Dissertation: On the boundedness of the Banach space-valued Hilbert transform

Advisor: David M. Young, Jr.
Dissertation: Generalized conjugate gradient acceleration of iterative methods

Advisor: Stephen J. McAdam
Dissertation: Asymptotic primes and applications

Advisor: Jeffrey D. Vaaler
Dissertation: Inequalities for character sums
Placement: Rust College, Misissippi

Advisor: Murray R. Cantor
Dissertation: Decomposition of symmetric two-tensors over a compact Riemannian manifold with boundary

Advisor: Abraham Charnes
Dissertation: Goal arc methods in EEO planning and control

Degree Awarded 1983

Advisor: Klaus R. Bichteler
Dissertation: A simple version of the Malliavin calculus with applications to the filtering equation

Advisor: Abraham Charnes
Dissertation: Informatics, analysis, and solution of a class of constrained integer network problems

Degree Awarded 1984

Advisor: Peter W. M. John
Dissertation: D-optimal experimental designs and alternative models for quadratic blending with process variables

Advisor: Andrew J. Casson
Dissertation: On immersed 2-spheres in some 4-manifolds

Advisor: Haskell P. Rosenthal
Dissertation: Properties of Tauberian operators on Banach spaces

Advisor: Graham F. Carey
Dissertation: Adaptive finite element grid generation and extension for elliptic problems posed on unbounded domains

Advisor: Efraim Armendariz
Dissertation: Regular and strongly pi-regular rings

Advisor: Cameron M. Gordon
Dissertation: Maps between surfaces

Advisor: Peter W. M. John
Dissertation: Efficient incomplete block designs

Degree Awarded 1985

Advisor: Edward W. Odell
Dissertation: On the Isomorphic Structure of the Stopping Time Banach Space and on the Problem of Best Compact Approximation for Operators Between Lp Spaces.

Advisor: Peter W. M. John
Dissertation: Ordering the Points in Factorial Experiments to Protect against Early Termination

Degree Awarded 1986

Advisor: Robert S. Boyer and J. Strother Moore
Dissertation: Proving and Discovering Geometry Theorems Using Wu's Method

Advisor: Carl Morris
Dissertation: Empirical Bayes Statistics: A Comprehensive Theory for Data Analysis

Advisor: Carl Morris
Dissertation: Empirical Bayes Methods for Spatial Data

Advisor: Cameron Gordon
Dissertation: Finite Covers of Haken 3-Manifolds

Advisor: David M. Young
Dissertation: Adaptive Iterative Algorithms for Large Sparse Linear Systems

Advisor: Bruce Palka
Dissertation: Quasiconformal groups and Quasisymmetric Embeddings

Advisor: Cameron Gordon
Dissertation: Heegaard splitting and groups presentations

Advisor: Gary L. Wise
Dissertation: Some Problems in Martingale-Like Operators and Flows of Sigma Algebras Arising in Communication Theory.

Advisor: Ralph Showalter
Dissertation: A Stefan Problem with Prescribed Convection

Advisor: Bruce Palka
Dissertation: On the Laplace-Beltram Operator in Hyperbolic Space

Advisor: William Eaton
Dissertation: Critical Level Embeddings of S^3 in S^4

Advisor: Haskell Rosenthal
Dissertation: The Radon Nikodym Property for Convex Sets.

Degree Awarded 1987

Advisor: David Saltman and Martha Smith
Dissertation: Invertible Modules

Advisor: Ralph Showalter
Dissertation: Homogenization of the Layered Medium Equation.

Advisor: David Scott and Alan Cline
Dissertation: Preconditioning Bigenvalue Problems

Advisor: Cameron Gordon
Dissertation: Incompressible Surfaces in Alternating Zink Complements

Degree Awarded 1988

Advisor: Efraim P. Armendariz
Dissertation: Rational Function Skew Fields and Related Topics in Skew Field Theory

Advisor: Cameron Gordon
Dissertation: Surfaces in Three-Manifolds and Three-Manifold Triads
Placement: Ball State

Advisor: Ralph Showalter
Dissertation: Dynamics of Gas Absorption

Advisor: Carl Morris
Dissertation: Multiparameter Estimation in Normal Distributions: The Slightly Unequal Variance Case

Advisor: David Saltman
Dissertation: Function Fields of Generalized Brauer-Severi Varieties
Current Placement: University of Texas at Austin

Advisor: Ralph Showalter
Dissertation: Resolution of a Diffusion Problem Arising in the Flow of Fluids
Placement: Carnegie-Mellon

Advisor: Ralph Showalter
Dissertation: The Continuous Dependence of Solutions to a Cauchy Problem.
Placement: Mississippi State Univ.

Degree Awarded 1989

Advisor: William Eaton
Dissertation: Vorticist Denizens of R^3 are tame

Advisor: Efraim P. Armendariz
Dissertation: Isomorphic Ore Extensions of Automorphism Type
Placement: Yeungnam Univ., Korea

Advisor: William Eaton
Dissertation: A New Proof that 1-ULC Implies Tameness
Current Placement: College of Southern Nevada

Advisor: Haskell Rosenthal
Dissertation: On Uniform Structures in Infinite Dimensional Banach Spaces
Current Placement: UT El Paso

Advisor: William Beckner
Dissertation: Sobolev inequalities for ultra spherical polynomials
Current Placement: Mississippi State

Advisor: Cameron Gordon
Dissertation: Degree One Maps between Geometric Three-Manifolds
Current Placement: George Washington University

Advisor: David Hinkley
Dissertation: Accurate and Efficient Double-Bootstrap Methods

Advisor: Jeffrey Vaaler
Dissertation: Inequalities for Heights of Algebraic Subspaces with Applications to Construction of Auxiliary Polynomials
Current Placement: University of Texas at Austin

Advisor: David Hinkley
Dissertation: Saddlepoint Approximations in Statistics, Including Resampling
Current Placement: Texas A&M Univ.

Degree Awarded 1990

Advisor: William Beckner
Dissertation: Fourier Analysis on the Sierpinski Gasket.
Current Placement: University of Iowa

Advisor: Michael Starbird
Dissertation: The Repovs Conjecture
Current Placement: Wooster College

Advisor: Jeffrey Vaaler
Dissertation: Diophantine Approximation in S-integers
Current Placement: Williams College

Advisor: Abraham Charnes and Patrick Brockett
Dissertation: Chance Constrained Programming and Chebychev Systems with Applications

Advisor: William Schelter
Dissertation: On Some Questions Concerning Weak Identities, Invariants, and Integrality

Advisor: David M. Young, Jr.
Dissertation: Generalized Conjugate Gradient and Lanczos Methods for the Solution of Nonsymmetric Systems of Linear Equations
Current Placement: Los Alamos

Advisor: E. W. Cheney
Dissertation: The condition number and the singularity of a certain interpolation matrix

Advisor: Cameron Gordon
Dissertation: Non-simple ribbon fibered knots
Current Placement: Tokyo Denkii University

Advisor: Jeffrey Vaaler
Dissertation: Small Solutions to Inhomogeneous Systems of Linear Equations Over an Algebraic Number Field
Placement: Seattle Pacific Univ.

Advisor: David M. Young, Jr. and David Kincaid
Dissertation: The Iterative Solution of Large Sparse Linear Systems Using Vector Computers
Current Placement: Cray Research, Minnesota

Advisor: Cameron Gordon
Dissertation: Invariants of Link Cobordism
Current Placement: South Florida University

Advisor: Edward Odell
Dissertation: Sequential Domination in Banach Spaces and the Geometry of JH*
Current Placement: Kenyon College

Advisor: E.W. Cheney
Dissertation: Multivariate Interpolation Using Ridge or Related Functions
Placement: S.W. Missouri State University

Advisor: Cameron Gordon
Dissertation: The Reidemeister and Markov Theorems via Diagrams for Links in 3-Manifolds
Placement: Univ. of Wisconsin

Degree Awarded 1991

Advisor: Cameron Gordon
Dissertation: Essential Laminations in Closed Seifert Fibered Spaces
Placement: Univ. of Puget Sound

Advisor: William Eaton
Dissertation: Three Level Forms in s^4
Current Placement: Fidelity National Information Services

Advisor: Peter W. M. John
Dissertation: Balanced Factorial Structure with the Hypercubic Association Scheme

Advisor: Abraham Charnes
Dissertation: Vector Extremal Approaches to Competitive Models in Economics and Business Activities

Advisor: Cameron Gordon
Dissertation: Linking and Unlinking Properties of Two Component Links
Placement: James Madison

Advisor: Peter W. M. John
Dissertation: Fractional Factorial Designs

Advisor: Carl Morris
Dissertation: Empirical and Hierarchical Bayes Estimation of Several Means in the Natural Exponential Family

Advisor: Cameron Gordon
Dissertation: Proper Knots are Locally Unknotted and a New Proof of Schubert's Bridge Number Theorem
Placement: Bradley

Advisor: Karen Uhlenbeck
Dissertation: On the Yang-Mills Heat Flow in Two and Three Dimensions
Current Placement: Lund Univ., Sweden

Advisor: David Saltman
Dissertation: Orthogonal Matrix Invariants and Generalized Matrix Concomitants
Placement: Northern Illinois Univ.

Advisor: Abraham Charnes
Dissertation: On a Class of Dual Methods for Quadratic Programming

Advisor: Stephen McAdam
Dissertation: Uppers to (0) in Intersections of Prime Ideals in Polynomial Rings
Placement: Northwest La State

Advisor: Abraham Charnes
Dissertation: On Some Problems of Chance-Constrained Programming

Advisor: Martha Smith
Dissertation: On the Stable Rank of Enveloping Algebras
Current Placement: Univ. of Texas, Corpus Christi

Degree Awarded 1992

Advisor: Ralph Showalter
Dissertation: Microstructure Modeling of Fluid Flow in a Layered Medium
Current Placement: Mississippi State

Advisor: Ralph Showalter
Dissertation: Diffusion Models with Microstructure and Secondary Flux
Current Placement: Singular Value Consulting

Advisor: David Hinkley
Dissertation: Nonparametric Regression and Its Uses in Checking Model Fit
Current Placement: Lawrence Livermore National Laboratory

Advisor: Abraham Charnes
Dissertation: Senstivity and Stability Analysis of Problems in Chance Constrained Programming

Advisor: Haskell Rosenthal
Dissertation: On Operators in L(L_1).
Placement: Hebei Univ. China

Advisor: E.W. Cheney
Dissertation: Interpolation on Spherical Spaces
Current Placement: University of Sao Paolo

Advisor: Ralph Showalter
Dissertation: The Regularized Layered Medium Equation
Placement: Charleston College

Advisor: Cameron Gordon
Dissertation: Incompressible punctured tori in the complements of alternating knots
Placement: Murray State

Advisor: Jeffrey Vaaler
Dissertation: On the Number of Irreducible Factors of a Polynomial
Current Placement: Univ. of British Columbia, Vancouver

Advisor: Stephen McAdam
Dissertation: Intergral Uppers
Current Placement: University of Calif. at Riverside

Advisor: Robert Williams
Dissertation: The Prime Decomposition of Knotted Periodic Orbits in Dynamical Systems
Current Placement: Northwestern University

Advisor: David M. Young
Dissertation: Parallel Multilevel Iterative Methods
Current Placement: Clark Univ., Georgia

Advisor: David Saltman
Dissertation: Valuations on Division Algebras
Placement: Denison Univ.

Advisor: Abraham Charnes
Dissertation: Optimization of Pursuit and Reliability on Discrete Graphs

Degree Awarded 1993

Advisor: Haskell Rosenthal
Dissertation: Some Subclasses of Baire-1 Functions and Uniform Homeomorphisms
Current Placement: Al Akhawayn University, Morroco

Advisor: Elliott Cheney
Dissertation: Wavelet Analysis in Hilbert Space
Placement: Taiwan University

Advisor: Jeffrey Vaaler
Dissertation: Radial Analogues of some Extremal Beuring-Selberg Functions
Placement: Michigan Tech Univ.

Advisor: Ralph Showalter
Dissertation: Semilinear Parabolic Equations with Preisach Hysteresis
Current Placement: Univ. of Texas at Arlington

Advisor: Karen Uhlenbeck
Dissertation: A Finite Index Approximation of Floer Homology
Current Placement: Texas Legislative Budget Board

Advisor: Cameron Gordon
Dissertation: A Characterization of Handlebodies, Homotopy and Homology Unknotting Numbers of a Knot
Placement: Blackburn College

Advisor: Rafael de la Llave
Dissertation: Rigidity for Dynamically Defined Cantor Sets and Expanding Circle Maps
Current Placement: University of Texas at Austin

Advisor: Edward Odell
Dissertation: Unconditional Averages in the Banach Spaces c(alpha)
Placement: Hanover College

Advisor: Robert Boyer
Dissertation: Automated Proofs of Object Code for a Widely Used Microprocessor

Degree Awarded 1994

Advisor: Jeffery Vaaler
Dissertation: Diophantine Approximation in Local Fields by Algebraic Numbers of Bounded Degree
Placement: Texas A&M Univ., Kingsville

Advisor: Edward Odell
Dissertation: The James Function Space
Placement: Univ. of Wisconsin

Advisor: Peter W. M. John
Dissertation: Optimal and Minimal Experimental Designs
Placement: Institute of Taiwan Studies

Advisor: Elliott Cheney
Dissertation: Cardinal Spline Wavelets
Placement: Oklahoma State University

Advisor: Alec Norton
Dissertation: Self Homeomorphisms of the 2-sphere which pointwise fix a nonseparating continuum
Placement: Mississippi State Univ.

Advisor: John Luecke
Dissertation: On Composite Twisted Unknots
Placement: University of Arkansas

Advisor: Ralph Showalter
Dissertation: Semilinear Degenerate Parabolic Systems and Distributed Capacitance Models
Current Placement: Brentwood Christian School, Austin TX

Advisor: William Schelter
Dissertation: On Automatic Theorem Proving in Conjugate Geometries

Advisor: Raymond Heitmann
Dissertation: Making the Generic Formal Fiber Local
Current Placement: Williams College

Advisor: Ayan Basu
Dissertation: Minimum disparity estimation in linear regression models: robustness and efficiency
Placement: Taejan University, Korea

Advisor: David M. Young, Jr. and Kamy Sepehrnoori
Dissertation: Multigrid Methods with Application in Reservoir Simulation
Placement: Western Atlas, Houston

Advisor: Jeffery Vaaler
Dissertation: The Lagrange Spectrum in Projective Space Over a Local Field
Placement: Univ. of Tennesee

Advisor: Patrick Brockettand and Vijay Mahajan
Dissertation: Stochastic Programming and Optimal Saleforce Compensation Schemes

Degree Awarded 1995

Advisor: Jose Felipe Voloch
Dissertation: Effective p-Descent
Placement: Univ. of Arizona

Advisor: Cameron Gordon
Dissertation: Reducing Spheres and Embedded Projective Planes after Dehn Surgery on a Knot
Placement: Louisiana State University

Advisor: Patrick Brockett
Dissertation: A new approach to sensitivity analysis of the DEA models and its applications in ranking and productivity growth

Advisor: Jeffery Vaaler
Dissertation: Algorithms for the Determination of Polynomials with Small Mahler Measure
Placement: Appalachian State Univ.

Degree Awarded 1996

Advisor: H. Rosenthal
Dissertation: Isomorphically Polyhedral Banach Spaces and Mixed Tsirelson Spaces of Arbitrary Distortion
Placement: Univ. of Missouri

Advisor: Edward Odell
Dissertation: On James Spaces
Current Placement: University of Texas at Austin

Advisor: Jeffery Vaaler
Dissertation: Diophantine Approximation on Projective Spaces over Number Fields
Placement: Princeton Institute for Advanced Study

Advisor: Peter W. M. John
Dissertation: Construction of Time Trend Free Run Orders

Advisor: Cameron Gordon
Dissertation: Hyperbolic Knots with Small Seifert-fibered Dehn Surgeries.
Placement: Mathematical Sciences Research Institute

Advisor: Charles Radin
Dissertation: Ergodic Theory, X-Ray Diffraction and Tilings of Euclidean Space
Placement: Rice University

Advisor: William Beckner
Dissertation: Percolation on the Randomized Sierpinski Carpet
Placement: Univ. of Texas, Austin

Advisor: Robert Gompf
Dissertation: Distinguishing Embedded Curves in Rational Complex Surfaces
Placement: Univ. of Calif. at Irvine

Advisor: Haskell Rosenthal
Dissertation: Quotients of C(K) Spaces
Current Placement: University of Crete

Advisor: William Beckner
Dissertation: Sharp Moser Inequalities
Placement: Korea University, Instructor

Advisor: John Tate
Dissertation: On Refined Class Number Formula
Placement: Ohio State

Advisor: Charles Radin
Dissertation: The Topological and Geometrical Properties of a Uniquely Ergodic Tiling System

Advisor: David Saltman
Dissertation: Global Sections of Higher Powers of the Twisting Sheaf on a Brauer-Severi Variety
Placement: Indiana University

Advisor: Elliott Cheney
Dissertation: The Fundamentality Problem for Translates of Continuous Functions
Placement: Korea University

Degree Awarded 1997

Advisor: David M. Young, Jr.
Dissertation: Iterative Solutions of Large Sparse Nonsymmetric Linear Systems
Current Placement: National Kaohsiung Normal Univ., Korea

Advisor: Peter W. M. John
Dissertation: Optimal Fractional Factorial Designs

Advisor: Jeffery Vaaler
Dissertation: Spectra of Heights over Certain Finite Groups
Current Placement: Washington and Lee Univ.

Advisor: Robert Gompf
Dissertation: Symplectic Constructions on 4-Manifolds
Current Placement: University of Pennsylvania

Advisor: Karen Uhlenbeck
Dissertation: The Cauchy Initial Value Problem for Yang-Mills Metrics
Current Placement: Institute of Technology, Tralee Ireland

Advisor: Elliott Ward Cheney, Jr.
Dissertation: Degree of Approximation by Neural Networks

Advisor: Bruce Palka
Dissertation: Quasiconformal Groups

Advisor: Edward Odell
Dissertation: On Bourgain's Index and Schreier Sets
Current Placement: University of Denver

Advisor: Sean Keel
Dissertation: Exceptional Surfaces For Resolution of Isolated Threefold Singularities
Current Placement: John Hopkins

Advisor: Ralph Showalter
Dissertation: A Coupled System of Semilinear Parabolic Equations with Hysteresis
Current Placement: University of Washington

Advisor: Cameron Gordon
Dissertation: Exceptional manifolds After Dehn Filling
Placement: Mathematical Sciences Research Institute

Advisor: Cameron Gordon
Dissertation: Heegaard Surfaces and Dehn Fillings: G(M)-1 Less than T(X) Less than G(M)
Current Placement: University of Arkansas

Advisor: Cameron Gordon
Dissertation: On the Classification and Stabilization Problems for Heegaard Splittings of Three-Manifolds
Current Placement: Depaul Univ.

Advisor: Alec Norton
Dissertation: Cantor Sets and Lipschitz Actions on Circles and Trees
Current Placement: Diego Corp., Palo Alto

Degree Awarded 1998

Advisor: Jeffrey Vaaler
Dissertation: On an Integral Related to Vinogradov's Integral
Placement: United Arab Emirates University

Advisor: Cameron Gordon
Dissertation: The Degeneracy Slopes and the Stretching Factors of Fibered Alternating Knots
Current Placement: Lone Star College

Advisor: Jerry Bona
Dissertation: Solitary Waves and Long-Wave Phenomena
Current Placement: University of Memphis

Advisor: John Tate
Dissertation: Stark's Conjecture in the Octahedral Case
Current Placement: California Lutheran University

Advisor: Lorenzo Sadun
Dissertation: Adiabatic Limits of the Anti-Self-Dual Equation

Advisor: Sean Keel
Dissertation: Segre Class of Almost Complete Intersections
Current Placement: University of Texas at Austin

Advisor: Jeffery Vaaler
Dissertation: An Extremal Majorant for the Logarithm and Its Applications
Current Placement: Northwestern University

Advisor: John Luecke
Dissertation: Manifolds Obtained by Dehn Surgery on Infinitely Many Distinct Knots in s^3
Current Placement: Univ. of Dallas

Advisor: R. de la Llave
Dissertation: Normal Form Techniques in Degenerate Hamiltonian Systems
Current Placement: Oregon Institute of Technology

Advisor: Robert Boyer and Larry Hines
Dissertation: Discoveries and Experiments In the Automation of Mathematical Reasoning
Current Placement: Bethel University

Degree Awarded 1999

Advisor: Cameron Gordon
Dissertation: A Piecewise-Linear Theory of Minimal Surfaces of Non-Zero Index
Current Placement: Pitzer College, California

Advisor: Jeffery Vaaler
Dissertation: Analogs of the Beurling-Selberg Functions in N Dimensions and their applications
Current Placement: Birmingham-Southern College

Advisor: Robert Gompf
Dissertation: On a Remarkable Set of Words in the Mapping Class Group
Current Placement: Universidad Nacional de Columbia

Advisor: Felipe Voloch
Dissertation: Diophantine Problems in Function Fields of Positive Characteristic
Current Placement: Inha University, Korea

Advisor: Jose Felipe Voloch
Dissertation: On Lang's diophantive conjecture for surfaces of general type
Current Placement: Texas A&M Univ. at Galveston

Advisor: Lorenzo Sadun
Dissertation: Numerical Investigations of Singularity Formation in Non-Linear Wave Equations in the Adiabatic Limit
Current Placement: Texas A&M Univ.

Advisor: Alan Reid
Dissertation: Lengths and Homology of Hyperbolic 3-Manifolds
Current Placement: Univ. at Buffalo

Degree Awarded 2000

Advisor: David Saltman
Dissertation: Generic Galois extensions for groups of order p^3
Current Placement: Assistant Professor, Florida Atlantic University

Advisor: Jeffrey Vaaler
Dissertation: Estimates for the Number of Polynomial with Bounded Degree and Bounded Measure

Advisor: Sean Keel
Dissertation: Fibrations of the Closure of M_{g,n}
Current Placement: Assistant Professor, University of Pennsylvania

Advisor: Karen Uhlenbeck
Dissertation: Constructing Special Langrangain Cones
Placement: Postdoctoral Assistant Professor, Johns Hopkins University

Advisor: Ralph Showalter
Dissertation: Two Distributed Capacitance Models
Placement: Assistant Professor, Sogang University, Korea

Advisor: Bill Beckner
Dissertation: Sobolev trace inequality and logarithmic Sobolev trace inequality
Placement: Sejong University, Seoul, Korea

Advisor: Cameron Gordon
Dissertation: Essential Surfaces after Dehn Filling
Placement: Assistant Professor, St. Edward's University

Advisor: E.W. Cheney and E. I. George
Dissertation: Proper Posterior Distributions for some Hierarchical models and Roundoff Effects in the Gibbs Sampler
Placement: Research Scientist, Quintiles, Inc.

Degree Awarded 2001

Advisor: Hans A. Koch
Dissertation: Renormalization, invariant tori, and periodic orbits for Hamiltonian flows
Placement: McMaster University, Hamilton, Ontario, Canada

Advisor: Lorenzo Sadun
Dissertation: The Topology and Geometry of DNA and DNA-Protein Interaction
Placement: Assistant Professor, Applied Mathematics, Brown University

Advisor: Felipe Voloch
Dissertation: Canonical and Minimal Degree Liftings of Curves
Current Placement: Instructor, Ohio State University

Advisor: Raymond Heitmann
Dissertation: The Plus Closure of an Ideal
Placement: Assistant Professor, St. Joseph's University

Advisor: Jerry L. Bona
Dissertation: Models for Internal Waves in Two-Fluid Systems
Placement: Research Fellow, Norwegian University of Sciences and Technology, Trondheim, Norway

Advisor: David Saltman
Dissertation: Birational Isomorphisms between Severi-Brauer Varieties
Current Placement: Gibbs Assistant Professor, Yale University

Advisor: Ralph Showalter
Dissertation: Fluid Flow and Deformable Multi-Porous Media
Placement: Avaya Communication, Westminster, CO

Advisor: Klaus Bichteler
Dissertation: The L p Theory of Random Measures
Placement: Engineering Scientist, Applied Research Lab, University of Texas at Austin

Advisor: Jerry Bona
Dissertation: Rare events and conditional limit theorems for a class of spectrally positive, heavy-tailed Levy processes
Placement: Visiting Instructor, Macalester College, St. Paul, MN

Advisor: Sean Keel
Dissertation: The Birational Geometry of M3 and M2,1
Placement: VIGRE Postdoc, University of Georgia at Athens

Advisor: Ralph E. Showalter
Dissertation: Heat Transport Models With Distributed Microstructure
Current Placement: Los Alamos National Laboratory

Degree Awarded 2002

Advisor: Charles Radin
Dissertation: Density in Hyperbolic Spaces
Current Placement: Zorn Postdoctoral Fellow, Indiana University

Advisor: Karen Uhlenbeck
Dissertation: An Application of The Continuity Method for an Equation on Line Bundles
Placement: Universidade de Federal, Rio de Janeiro, Brazil

Advisor: Haskell Rosenthal
Dissertation: Bounded Operators without Invariant Subspaces on Certain Banach Spaces
Placement: The University of Texas at Austin

Advisor: Panagiotis Souganidis
Dissertation: Uniqueness and Existence Results on Viscosity Solutions of Some Free Boundary Problems
Current Placement: Assistant Professor, University of California at Los Angeles

Advisor: Cameron Gordon
Dissertation: Geodesics in the Complex of Curves of a Surface
Placement: National Security Agency

Advisor: Alan Reid
Dissertation: Essential Surfaces in Hyperbolic Three-Manifolds
Current Placement: Assistant Professor, University of Illinois at Urbana-Champaign

Advisor: Uri Treisman
Dissertation: Collapsing Dimensions, Physical Limitation, and other Student Metaphors for Limit Concepts
Placement: Assistant Professor, Arizona State University

Advisor: Panagiotis Souganidis
Dissertation: On Level Set Approach to Motion of Manifolds of Arbitrary Codimension
Current Placement: Assistant Adjunct Professor, University of California at Los Angeles

Advisor: Mikhail Vishik
Dissertation: Modal Expansions of Surface Wave Model Equations
Current Placement: Assistant Professor, St. Mary's College of Maryland

Advisor: Thaleia Zariphopoulou
Dissertation: On the Merton Problem in Incomplete Markets
Placement: Graduate Research Assistant, The University of Texas at Austin

Advisor: Luis Caffarelli
Dissertation: Plane-like minimal surfaces in periodic media with inclusions
Current Placement: University of Houston

Advisor: Luis Caffarelli
Dissertation: Plane-like Minimizers in Periodic Media: Jet Flows and Ginzburg-Landau
Current Placement: University of Rome III

Advisor: Rafael de la Llave
Dissertation: A Nash-Moser Implicit Function Theorem with Whitney Regularity and Applications
Placement: University of Wisconsin at Madison

Advisor: Jerry Bona and Todd Arbogast
Dissertation: Numerical Schemes for Systems of Non-linear Dispersive Wave Equations
Placement: Visiting Mathematician, Oklahoma State University

Degree Awarded 2003

Advisor: Robert Gompf
Dissertation: Contact Structures and Open Books
Current Placement: Post Doctoral Appointment, Massachusetts Institute of Technology

Advisor: Karen Uhlenbeck
Dissertation: Adiabatic Limits of the Hermitian Yang-Mills Equations on Slicewise Stable Bundles
Placement: Professor, Feira de Santana, Brazil

Advisor: Felipe Voloch
Dissertation: Power Series in P-ADIC Roots of Unity
Placement: Mercer Human Resource Consulting, San Francisco, California

Advisor: Fernando Rodriguez-Villegas
Dissertation: A formula for the central value of certain Hecke L-functions
Placement: University of Buenos Aires

Advisor: Elliott Cheney
Dissertation: Theory of Principal Component Filter Banks with Applications to Multicomponent Imagery
Placement: Los Alamos National Labs

Advisor: Luis Caffarelli
Dissertation: Phase Transitions: Regularity of Flat Level Sets
Placement: Post Doctoral Visiting Faculty, University of California at Berkeley

Advisor: Fernando Rodriguez-Villegas
Dissertation: Evaluations of Multiple L-Values and Double Zeta Values of Quadratic Fields
Placement: VIGRE Postdoc, Pennsylvania State University

Degree Awarded 2004

Advisor: John Luecke
Dissertation: Knots on Once-punctured Torus Fibers
Placement: VIGRE, University of Georgia at Athens

Advisor: Fernando Rodriguez Villegas
Dissertation: Mahler Measure Evaluations in terms of Polylogarithms
Placement: Visiting Assistant Professor, City University of New York

Advisor: Jeffrey Vaaler
Dissertation: Algebraic Points of Small Height with Additional Arithmetic Conditions
Placement: Visiting Assistant Professor, Texas A & M University

Advisor: Todd Arbogast
Dissertation: Analysis of a Darcy-Stokes System Modeling Fluid Flow in Vuggy Porous Media
Placement: Ohio State University

Advisor: Jeff Vaaler
Dissertation: Distribution of Galois Orbits of Low Height
Placement: VIGRE Post Doctoral Associate, University of Georgia at Athens

Advisor: Felipe Voloch
Dissertation: Computations on an Equation of the BSD Type
Placement: Universidad Nacional Autonoma de Mexico

Degree Awarded 2005

Advisor: Todd Arbogast
Dissertation: Simulating Fluid Flow in Vuggy Porous

Advisor: Mikhail Vishik
Dissertation: The vanishing Viscosity Limit for Incompressible Fluids in two dimensions
Placement: Tamarkin Assistant Professor, Brown University

Advisor: Fernando Rodriguez-Villegas
Dissertation: Some relations of Mahler measure with hyperbolic volumes and special values of L-Functions
Current Placement: Associate Professor, Universite de Montreal, Canada

Advisor: Jack Xin
Dissertation: Human Acoustics: From Vocal Chords to Inner Ear
Placement: Postdoctoral Associate, Cornell University

Advisor: Fernando Rodriguez-Villegas
Dissertation: Some applications of classical modular forms to number theory
Placement: Postdoctoral Fellow, Max Planck Institute for Mathematics,

Advisor: Sean Keel
Dissertation: An Elementary Construction of M0,0
Placement: Assistant Professor, Wittenberg University, Springfield, Ohio

Advisor: Alan Reid
Dissertation: One-Cusped Congruence Subgroups of PSL2
Placement: Coleman Postdoctoral Fellow, Queen's University, Ontario, Canada

Advisor: Luis Caffarelli
Dissertation: Regularity of the obstacle problem for a fractional power of the Laplace Operator
Placement: Postdoctoral Instructor, Courant Institute, New York, New York

Advisor: Jeffrey Vaaler
Dissertation: Multiplicative Distance Functions
Current Placement: Univ. of Oregon

Advisor: Thaleia Zariphopoulou
Dissertation: Optimal Strategies in incomplete financial markets
Placement: Postdoctoral Instructor, Courant Institute, New York, New York

Advisor: Luis Caffarelli
Dissertation: Regularity of Free Boundary in variational problems
Placement: Postdoctoral Assistant Professor, State University of New Jersey at Rutgers

Advisor: Fernando Rodriguez-Villegas
Dissertation: The Brandt Module of Ternary Quadratic Lattices
Current Placement: Profesor Adjunto, Universidad de la República, Uruguay

Degree Awarded 2006

Advisor: Alan Reid
Dissertation: Undetected Boundary Slopes and Roots of unity for the character variety of a Three-Manifold
Placement: Evans Instructor, Rice University

Advisor: Cameron Gordon
Dissertation: Heegaard Splittings of Toroidal Three-Manifolds
Placement: Assistant Professor, American University in Cairo, Egypt

Advisor: Rafael de la Llave
Dissertation: Renormalization and Central Limit Theorem for Critical Dynamical Systems with external weak random noise
Current Placement: Precision Health Economics, Austin TX

Advisor: Panagiotis Souganidis
Dissertation: Forced Vibrations via Nash-Moser Iterations
Placement: Post-Doctoral Fellow, McMaster University, Ontario, Canada

Advisor: Jeff Vaaler
Dissertation: Tools and Techniques in Diophantine Approximation
Placement: Lecturer, Mathematics, The University of Texas at Austin

Advisor: Jose Felipe Voloch
Dissertation: On the suitability of power functions as S-boxes for symmetric cryptosystems
Placement: Research Mathematician, United States Department of Defense

Advisor: Uri Treisman
Dissertation: Factors in statistics learning: Developing a dispositional attribution model to describe the development of statistical proficiency
Placement: Assistant Professor, Michigan State University

Advisor: Cameron Gordon
Dissertation: Geometry and Algebra of Hyperbolic 3-Manifolds
Placement: Tamarkin Assistant Professor and National Science Foundation Post-Doctoral Fellow, Brown University

Advisor: Alan Reid
Dissertation: Derived Arithmetic Fuchsian Groups of Genus Two
Placement: Post-Doctoral Fellow, University of British Columbia

Advisor: David Saltman
Dissertation: Non-cyclic and Indecomposable P-algebras
Placement: : National Science Foundation Mathematical Sciences Post-Doctoral Fellowship, Emory University/Rice University

Advisor: Alan Reid
Dissertation: Cusps of Arithmetic Orbifolds
Placement: Olga Taussey-John Todd Instructor, California Institute of Technology

Advisor: Jack Xin
Dissertation: Reaction-Diffusion Fronts in Inhomogeneous Media
Placement: National Science Foundation Postdoctoral Scholar, Stanford University

Advisor: Jeff Vaaler
Dissertation: Diophantine approximation in projective space and the absolute Siegel’s Lemma
Placement: Actuarial Analyst, Mercer Human Resource Consulting, Los Angeles, California

Advisor: Lorenzo Sadun
Dissertation: Pattern-Equivariant Chomology of Tiling Spaces with Rotations
Placement: Assistant Professor, Texas Lutheran University

Advisor: Dan Freed
Dissertation: Local Elliptic Boundary Value Problems for the Dirac Operator
Placement: Lecturer, The University of Texas at Austin

Advisor: Jose Felipe Voloch
Dissertation: Error-Correcting Codes on low Neron-Severi rank surfaces
Placement: Assistant Professor, Emory and Henry College, Emory, Virginia

Degree Awarded 2007

Advisor: Panagiotis Souganidis
Dissertation: Singular Limits of Reaction Diffusion Equations of KPP type in an infinite Cylinder
Placement: Visiting Professor, Arizona State University

Advisor: Mikhail Vishik
Dissertation: Incompressible Fluids with Vorticity in Besov Spaces
Placement: Postdoctoral Associate, Carnegie Mellon University

Advisor: Alan Reid
Dissertation: Totally Geodesic Surfaces in Hyperbolic 3-Manifolds
Current Placement: University of Illinois at Chicago

Advisor: Karen Uhlenbeck
Dissertation: The Higher Flows of Harmonic Maps
Current Placement: Jacksonville University

Advisor: Felipe Voloch
Dissertation: Incompleteness of the Glalietti-Ughi Arc
Placement: Quantitative Risk Control, UBS, New York, NY

Advisor: Felipe Voloch
Dissertation: Genus 2 Curves in pairing-based Cryptography and the minimal embedding field
Current Placement: 21st Century Technologies, Austin

Advisor: Alexis Vasseur
Dissertation: Strong Trace for Degenerate Parabolic-Hyperbolic Equations and Applications
Current Placement: University of Maryland at College Park

Advisor: Luis A. Caffarelli
Dissertation: Least Supersolution Approach to regularizing Elliptic Free Boundary Problems
Placement: Visiting Assistant Professor, University of Iowa

Advisor: Jeffrey D. Vaaler
Dissertation: Auxiliary Polynomials and Height Functions
Current Placement: Univ. of British Columbia, Vancouver

Advisor: Todd Arbogast
Dissertation: A Three-Dimensional Finite Element Method and Multigrid Solver for a Darcy-Stokes System and Applications to Vuggy Porous Media
Placement: State University of New York at Buffalo

Advisor: Robert E. Gompf
Dissertation: Constructions on Open Book Decompositions
Placement: Postdoctoral Fellow, University of Quebec at Montreal

Degree Awarded 2008

Advisor: Irene Gamba
Dissertation: The Boltzmann Equation: Sharp Povzner Inequalities applied to regularity theory
Placement: Visiting Professor, Brown University

Advisor: Gordan Zitkovic
Dissertation: Agents' Agreement and Partial Equilibrium Pricing in Incomplete Markets
Placement: Athens, Greece

Advisor: Alexis Vasseur
Dissertation: The De Giorgi's Method as Applied to the Regularity Theory of Incompressible Navier Stokes equations
Placement: University of Minnesota

Advisor: Karen Uhlenbeck
Dissertation: Well-Posedness for the Space-Time Monopole Equation and Ward Wave Map
Placement: University of Toronto

Advisor: Jeffrey Vaaler
Dissertation: The Height in Terms of the Normalizer of a Stabilizer
Placement: Kansas State University

Advisor: David Saltman
Dissertation: Regular Realizations of P-Groups
Placement: University of Texas at Austin

Advisor: Daniel Freed
Dissertation: Superconnections and Index Theory
Placement: Goettingen University, Germany

Advisor: Daniel Freed
Dissertation: An Index Theorem in Differential K-Theory
Placement: Constellation Energy

Advisor: Sean Keel
Dissertation: The Log Canonical Compactification of the Moduli of Six Lines in P^2

Advisor: David Saltman
Dissertation: The Discriminant Algebra in Cohomology
Placement: S D & M Software, Munich, Germany

Advisor: Daniel Freed
Dissertation: Abelian Chern-Simons Theory with Toral Gauge Group, Modular Tensor Categories, and Group Categories
Placement: Postdoctoral Researcher, University of Utah

Advisor: Karen Uhlenbeck
Dissertation: Modified Ricci Flow on a Principal Bundle
Placement: University of Arizona

Advisor: Thaleia Zariphopoulou
Dissertation: Essays on Pricing and Portfolio Choice in Incomplete Markets

Degree Awarded 2009

Advisor: Fernando Rodriguez Villegas
Dissertation: L-Functions of Elliptic Curves over Function Fields
Placement: University of Washington

Advisor: Felipe Voloch
Dissertation: Characterization of Multi-Frobenius Non-Classical Plane Curves and construction of complete Plane (N,D)-ARCS
Placement: University of Sao Paulo, Sao Carlos Campus

Advisor: Alan Reid
Dissertation: The Arithmetic and Geometry of Two-Generator Kleinian Groups
Placement: St. Edward's University

Advisor: Rafael de la Llave
Dissertation: Existence and persistence of invariant objects in dynamical systems and mathematics physics
Placement: McGill University

Advisor: William Beckner and Jeff Vaaler
Dissertation: Extremality, Symmetry and Regularity Issues in Harmonic Analysis
Placement: Institute for Advanced Study, Princeton University

Advisor: Felipe Voloch
Dissertation: Generalizing Binary Quadratic Residue Codes to higher power Residues over larger fields
Placement: Federal Government

Advisor: Felipe Voloch
Dissertation: Twists of Elliptic Curves with a larger set of integral points over (FQ(T)
Placement: Oxford College of Emory University

Advisor: Gordan Zitkovic
Dissertation: The Optimal Control of a Levy Process
Placement: Bloomberg L.P.

Advisor: Fernando Rodriguez-Villegas
Dissertation: Computing the Tutte Polynomial of Hyperplane Arrangements
Placement: Applied Research Laboratories

Advisor: Vaaler
Dissertation: On some distribution problems in Analytic Number Theory
Placement: Yahoo Japan Corporation

Advisor: Cameron Gordon
Dissertation: Reducible and Toroidal Dehn Fillings with Distance 3
Placement: Boston College

Advisor: Daniel Freed
Dissertation: Differential Equivariant K-theory
Placement: Sul Ross State University

Advisor: Sean Keel
Dissertation: Toric Schemes over a discrete Valuation Ring and Tropical Compactifications
Placement: East China Normal University

Advisor: Fernando Rodriguez-Villegas
Dissertation: Hypergeometric Functions in Arithmetic Geometry
Placement: Bates College

Advisor: Panagiotis Souganidis/Luis Caffarelli
Dissertation: Random and Periodic Homogenization for some Nonlinear Partial Differential Equations
Placement: Carnegie Mellon University

Advisor: Tandy Warnow
Dissertation: Phylogenetic Supertree Methods
Placement: University of Texas at Austin

Advisor: Mikhail Vishik
Dissertation: Linear Instability for Incompressible inviscid fluid flows: two classes of perturbations
Placement: University of California Santa Barbara

Degree Awarded 2010

Advisor: Rodriguez-Villegas
Dissertation: ON REAL AND P-ADIC BEZOUTIANS
Current Placement: Universidad Nacional de Moreno

Advisor: Vaaler
Dissertation: ORTHOGONAL DECOMPOSITIONS OF THE SPACE OF ALGEBRAIC NUMBERS MODULO TOR
Placement: University of Rochester

Advisor: Caffarelli
Dissertation: REGULARIZATION IN PHASE TRANSITIONS WITH GIBBS-THOMSON LAW
Current Placement: UCLA

Advisor: Rodriguez-Villegas
Dissertation: PERIODS OF MODULAR FORMS AND CENTRAL VALUES OF L-FUNCTIONS
Current Placement: Director-R &D Tax Credits

Advisor: Keel
Dissertation: BIRATIONAL GEOMETRY OF THE MODULI SPACES OF CURVES WITH ONE MARKED POI
Placement: Stony Brook University

Advisor: Sadun
Dissertation: ROTATIONAL COHOMOLOGY AND TOTAL PATTERN EQUIVARIANT COHOMOLOGY OF TILING
Current Placement: Huston-Tillotson University

Advisor: Reid
Dissertation: ON SOME RESIDUAL AND LOCALLY VIRTUAL PROPERTIES OF GROUPS
Placement: Software Engineer at Hurricane Inc.

Advisor: Vasseur
Dissertation: A FRAGMENTATION MODEL FOR SPRAYS AND L2 STABILITY ESTIMATES FOR SHOCKS
Placement: Carnegie-Mellon University

Advisor: Ben-Zvi
Dissertation: AUTOEQUIVALENCES, STABILITY CONDITIONS, AND N-GONS
Placement: Western Ontario University

Advisor: Rodriguez-Villegas
Dissertation: ON THE E-POLYNOMIALS OF A FAMILY OF CHARACTER VARIETIES
Placement: Oxford University

Advisor: Ben-Zvi
Dissertation: SHEAF THEORETIC METHODS IN MODULAR REPRESENTATION THEORY
Placement: Harvard University

Advisor: Saltman
Dissertation: RATIONAL EMBEDDINGS OF THE SEVERI-BRAUER VARIETY
Placement: University of Texas at Austin

Advisor: Caffarelli
Dissertation: ABOUT THE LARGEST SUBSOLUTION FOR A FREE BOUNDARY PROBLEM IN R2: ELLIP
Current Placement: Rice University

Advisor: Allcock
Dissertation: FIXED-POINT-FREE ACTIONS OF COXETER GROUPS ON THREE-DIMENSIONAL CAT(0)
Placement: University of Arizona

Advisor: Rodriguez-Villegas
Dissertation: THE DISTRIBUTION OF ROOTS OF CERTAIN POLYNOMIALS

Advisor: Vaaler
Dissertation: AN ANALOGUE OF THE KORKIN-ZOLOTAREV LATTICE REDUCTION FOR VECTOR SPACES OVER NUMBER FIELDS

Advisor: Ying
Dissertation: FAST DIRECT ALGORITHMS FOR ELLIPTIC EQUATIONS VIA HIERARCHICAL MATRIX COMPRESSION

Advisor: Reid
Dissertation: CUSPS OF HERMITIAN LOCALLY SYMMETRIC SPACES
Placement: University of Michigan

Advisor: Odell
Dissertation: ON S1-STRICTLY SINGULAR OPERATORS
Placement: Univ. of Houston-Victoria

Advisor: Gompf
Dissertation: BROKEN LEFSCHETZ FIBRATIONS ON SMOOTH FOUR-MANIFOLDS
Placement: Univ. of California-Berkeley

Degree Awarded 2011

Advisor: Radin
Dissertation: ORDERING IN DENSE PACKINGS
Placement: Univ. of Minnesota

Advisor: De La Llave
Dissertation: ON THE AUBRY-MATHER THEORY FOR PARTIAL DIFFERENTIAL EQUATIONS AND THE STABILITY OF STOCHASTICALY FORCED ORDINARY DIFFERENTIAL EQUATIONS
Placement: Carnegie-Mellon

Advisor: Beckner/Pavlovic
Dissertation: GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING ENERGY- SUPERCRITICAL CUBIC NONLINEAR WAVE EQUATION
Placement: Princeton Institute for Advanced Study

Advisor: Freed
Dissertation: STATE SUMS IN TWO DIMENSIONAL FULLY EXTENDED TOPOLOGICAL FIELD THEORIES
Current Placement: Northwestern University

Advisor: Bajaj
Dissertation: STABILITY OF DUAL DISCRETIZATION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Placement: Univ. of Calif. at San Diego

Advisor: Gordon
Dissertation: PRIMITIVE/PRIMITIVE AND PRIMITIVE/SEIFERT KNOTS
Placement: Univ. of Texas, Austin

Advisor: Reid
Dissertation: PROPERTIES OF COMMENSURABILITY CLASSES OF HYPERBOLIC KNOT COMPLEMENTS
Placement: Boston College

Advisor: Reid
Dissertation: ON THE CANONICAL COMPONENTS OF CHARACTER VARIETIES OF HYPERBOLIC 2-BRIDGE LINK COMPLEMENTS
Placement: Technion-Israel Institute of Technology

Advisor: Vaaler
Dissertation: NORMS EXTREMAL WITH RESPECT TO THE MAHLER MEASURE AND A GENERALIZATION OF DIRICHLET'S UNIT THEOREM
Placement: Univ. of Texas, Austin

Advisor: Zariphopolou
Dissertation: Three Essays on Valuation and Investment in Incomplete Markets
Placement: Susquehanna International Group--Philadelphia, PA

Advisor: Voloch
Dissertation: THE INTERSECTION OF CLOSURE OF GLOBAL POINTS OF A SEMI-ABELIAN VARIETY WITH A PRODUCT OF LOCAL POINTS OF ITS SUBVARIETIES
Placement: Academia Sinica, Taiwan

Advisor: Caffarelli
Dissertation: RANDOM HOMOGENIZATION OF P-LAPLACIAN WITH OBSTACLES ON PERFORATED DOMAIN AND RELATED TOPICS
Placement: Univ. of Iowa

Advisor: Dan Knopf
Dissertation: ANALYSIS OF GEOMETRIC FLOWS, WITH APPLICATIONS TO OPTIMAL HOMOGENEOUS GEOMETRIES
Placement: UCLA

Advisor: Caffarelli
Dissertation: OPTIMAL REGULARITY AND NONDEGENERACY FOR MINIMIZERS OF AN ENERGY RELATED TO THE FRACTIONAL LAPLACIAN
Placement: Courant Institute of Mathematical Sciences

Degree Awarded 2012

Advisor: Figalli
Dissertation:
Placement: NSF Postdoctoral Fellowship MIT

Advisor: Chen, De La Llave
Dissertation: ON THE ROLE OF INVARIANT OBJECTS IN APPLICATIONS OF DYNAMICAL SYSTEMS
Placement: ETH-Zurich

Advisor: Luecke
Dissertation: KNOTS IN HANDLEBODIES WITH HANDLEBODY SURGERIES
Placement: Oklahoma State

Advisor: Zitkovic
Dissertation:
Placement: Carnegie Mellon

Advisor: Vasseur
Dissertation:
Placement: Univ. of Wisconsin-Madison

Advisor: Freed
Dissertation:
Placement: Regensburg

Advisor: Caffarelli
Dissertation:
Placement: Univ. of British Columbia

Advisor: Reid
Dissertation:
Placement: Universidad Federal do Ceara

Advisor: Vishik
Dissertation: INCOMPRESSIBLE BOUSSINESQ EQUATIONS AND SPACES OF BORDERLINE BESOV TYPE
Placement: Lockheed Martin Corp.

Advisor: Keel
Dissertation:

Advisor: Helm
Dissertation:
Placement: Augustana College

Advisor: Reid
Dissertation: ARITHMETIC REFLECTION GROUPS AND CONGRUENCE SUBGROUPS
Placement: Univ. of Illinois Urbana-Champaign

Advisor: Vaaler
Dissertation: COMBINATORIAL AND PROBABILISTIC TECHNIQUES IN HARMONIC ANALYSIS
Placement: NSF Postdoctoral Fellowship UCLA

Advisor: Gordon
Dissertation:
Placement: University of Coimbra

Advisor: Helm
Dissertation:
Placement: Liberal Arts Science Academy (LASA), Austin

Advisor: Gordon
Dissertation: PRETZEL KNOTS OF LENGTH THREE WITH UNKNOTTING NUMBER ONE
Placement: Concordia University

Advisor: Sirbu
Dissertation: UTILITY MAXIMIZATION WITH CONSUMPTION HABIT FORMATION IN INCOMPLETE MARKETS
Placement: Univ. of Michigan

Advisor: Zitkovic
Dissertation: STOCHASTIC EQUILIBRIUM IN A GENERAL CLASS OF INCOMPLETE BROWNIAN MARKET ENVIRONMENTS
Placement: salesforce.com (San Francisco)

Degree Awarded 2013

Advisor: Freed
Dissertation: DIFFERENTIAL T-EQUIVARIANT K-THEORY

Advisor: Reid
Dissertation: FLEXIBILITY AND RIGIDITY OF THREE-DIMENSIONAL CONVEX PROJECTIVE STRUCTURES
Placement: UC Santa Barbara

Advisor: Caffarelli
Dissertation: REGULARITY FOR SOLUTIONS OF NONLOCAL FULLY NONLINEAR PARABOLIC EQUATIONS AND FREE BOUNDARIES ON TWO DIMENSIONAL CONES
Placement: Columbia

Advisor: Helm
Dissertation: REALIZABILITY OF TROPICAL LINES IN THE FAN TROPICAL PLANE
Placement: Greenhill School

Advisor: Figalli
Dissertation: OPTIMAL TRANSPORT, FREE BOUNDARY REGULARITY, AND STABILITY RESULTS FOR GEOMETRIC AND FUNCTIONAL INEQUALITIES
Placement: Carnegie Mellon

Advisor: Tsai
Dissertation: NUMERICAL METHODS FOR HIGHLY OSCILLATORY DYNAMICAL SYSTEMS USING MULTI SCALE STRUCTURE
Placement: Georgia Tech

Advisor: Engquist
Dissertation: TOWARDS SEAMLESS MULTISCALE COMPUTATIONS
Placement: Courant

Advisor: Engquist
Dissertation: APPROXIMATION OF THE 2D COMPLEX EIKONAL EQUATION: ANALYSIS AND SIMULATION

Advisor: Knopf
Dissertation: ON THE BLOW-UP OF FOUR-DIMENSIONAL RICCI FLOW SINGULARITIES
Placement: Stanford

Advisor: Zariphopoulou
Dissertation: ESSAYS ON ACHIEVING INVESTMENT TARGETS AND FINANCIAL STABILITY
Placement: US Department of the Treasury

Advisor: Gordon
Dissertation: BEHAVIOR OF KNOT FLOER HOMOLOGY UNDER CONWAY AND GENUS TWO MUTATION
Placement: Rice

Advisor: Allcock
Dissertation: FUCHSIAN GROUPS OF SIGNATURE (0:2,...,2;1;0) WITH RATIONAL HYPERBOLIC FIXED POINTS
Placement: University of Nevada, Reno

Advisor: Caffarelli
Dissertation: REGULARITY OF A SEGREGATION PROBLEM WITH AN OPTIMAL CONTROL OPERATOR
Placement: Purdue

Advisor: Vaaler
Dissertation: RESULTANTS AND HEIGHT BOUNDS FOR ZEROS OF HOMOGENEOUS POLYNOMIAL SYSTEMS
Current Placement: The Museum of Mathematics, NYC

Advisor: Vaaler
Dissertation: THE STABILIZER OF THE GROUP DETERMINANT AND BOUNDS FOR LEHMER'S CONJECTURE OF FINITE ABELIAN GROUPS
Placement: Burapha University

Advisor: Knopf
Dissertation: ANALYSIS OF RICCI FLOW ON NONCOMPACT MANIFOLDS
Placement: Oregon

Advisor: Keel
Dissertation: A CRITERION FOR TORIC VARIETIES
Placement: CGG

Degree Awarded 2014

Advisor: Kui Ren
Dissertation: NUMERICAL ALGORITHMS FOR INVERSE PROBLEMS IN ACOUSTICS AND OPTICS
Placement: CGG

Advisor: Bjorn Engquist
Dissertation: NUMERICAL METHODS FOR MULTISCALE INVERSE PROBLEMS
Placement: Georgia Tech

Advisor: Jeffrey Vaaler
Dissertation: HEIGHTS AND INFINITE ALGEBRAIC EXTENSIONS OF THE RATIONALS
Placement: Wisconsin

Advisor: Sean Keel
Dissertation: THE FUNCTORIAL INTERPRETATION OF THE NAIVE COMPACTIFICATION OF REGULAR MORPHISM FROM PI1 TO PI1

Advisor: Jeffrey Vaaler
Dissertation: SOME INEQUALITIES IN FOURIER ANALYSIS AND APPLICATIONS
Placement: Michigan

Advisor: Mirela Ciperiani
Dissertation: SOME RESULTS IN IWASAWA THEORY AND THE P-ADIC REPRESENTATION THEORY OF P-ADIC GL2
Placement: Indiana

Advisor: Dr. Jonathan Pillow
Dissertation: RECOVERY OF CONTINUOUS QUANTITIES FROM DISCRETE AND BINARY DATA WITH APPLICATIONS TO NEURAL DATA
Placement: Phillips Academy, Andover, MA

Advisor: Dr. Cameron Gordon
Dissertation: SLICE RIBBON CONJECTURE, PRETZEL KNOTS AND MUTATION
Placement: CGG Veritas Inc.

Advisor: Sean Keel
Dissertation: TROPICAL THETA FUNCTIONS FOR LOG CALABI-YAU SURFACES
Placement: Aarhus University

Advisor: Cameron Gordon
Dissertation: EXCEPTIONAL SEIFERT FIBERED SURGERIES ON MONTESINOS KNOTS AND DISTINGUISHING SMOOTHLY AND TOPOLOGICALLY DOUBLY SLICE KNOTS
Placement: NSF postdoc: Indiana

Advisor: David Ben-Zvi
Dissertation: GEOMETRY OF INTEGRABLE HIERARCHIES AND THEIR DISPERSIONLESS LIMITS
Placement: Oxford

Advisor: Alan Reid
Dissertation: GEOMETRIC PROPERTIES OF OUTER AUTOMORPHISM GROUPS OF FREE GROUPS
Placement: NSF postdoc: Yale

Advisor: Natasa Pavlovic
Dissertation: FROM QUANTUM MANY BODY SYSTEMS TO NONLINEAR SCHROEDINGER EQUATIONS
Placement: University of Illinois at Chicago

Degree Awarded 2015

Advisor: Dr. Robert E Gompf
Dissertation: EXOTIC SMOOTHINGS VIA LARGE R4'S IN STEIN SURFACES
Placement: Netflix, Inc.

Advisor: Dr. Mikhail Vishik
Dissertation: ON THE LINEAR STABILITY PROBLEM FOR JEFFERY-HAMEL FLOWS

Advisor: Dr. Yen-Hsi (Richard) Tsai
Dissertation: IMPLICIT BOUNDARY INTEGRAL METHODS
Placement: Quantitative Analyst, Goldman Sachs

Advisor: Dr. Ronny Hadani
Dissertation: LABELING AND DENOISING GEOMETRICALLY PARAMETERIZED DATA WITH APPLICATIONS TO CRYO-EM

Advisor: Dr. Andrew Blumberg
Dissertation: THE ANDRE-QUILLEN SPECTRAL SEQUENCE FOR PRE-LOGARITHMIC RING SPECTRA

Advisor: Dr. Andrew Neitzke
Dissertation: A CONSTRUCTION OF HYPERKÄHLER METRICS THROUGH RIEMANN-HILBERT PROBLEMS
Placement: Indiana University Purdue University Indianapolis

Advisor: Dr. Rachel Ward
Dissertation: STRUCTURED LOW COMPLEXITY DATA MINING

Advisor: Dr. Mihai Sirbu
Dissertation: ASYMPTOTICS FOR OPTIMAL INVESTMENT WITH HIGH-WATER MARK FEE
Current Placement: Insight Data Science, Inc.

Advisor: Dr. Luis Caffarelli
Dissertation: A LOCAL-NONLOCAL TRANSMISSION PROBLEM
Placement: NSF Postdoc, Courant Institute of Mathematical Sciences

Advisor: Dr. Robert E Gompf
Dissertation: SOME CONSTRUCTIONS INVOLVING SURGERY ON SURFACES IN 4-MANIFOLDS
Placement: Postdoc Research Fellow, Renyi Institute, Budapest, Hungary

Advisor: Dr. Gordan Zitkovic
Dissertation: EXISTENCE, CHARACTERIZATION AND APPROXIMATION IN THE GENERALIZED MONOTONE FOLLOWER PROBLEM
Placement: Machine Learning Scientist, Amazon Inc.

Advisor: Dr. Daniel Allcock
Dissertation: THE CLASSIFICATION OF RANK 3 REFLECTIVE HYPERBOLIC LATTICES OVER Z [SQRT-(2)]
Placement: Arizona State University

Advisor: Dr. Jose F. Voloch
Dissertation: INTERPOLATING GAMMA FACTORS IN FAMILIES
Placement: Oklahoma State University

Advisor: Dr. David Ben-Zvi
Dissertation: COORDINATE SYSTEMS AND ASSOCIATIVE ALGEBRAS
Placement: Rabobank (Netherlands); Model Validator

Advisor: Dr. Todd Arbogast
Dissertation: A QUADRATURE EULERIAN-LAGRANGIAN WENO SCHEME FOR RESERVOIR SIMULATION
Placement: University of Texas at Austin

Advisor: Dr. Robert Gompf
Dissertation: CLASSIFICATIONS AND APPLICATIONS OF SYMPLECTIC FILLINGS OF SEIFERT FIBERED SPACES OVER S^2
Placement: NSF Postdoc Stanford University

Advisor: Dr. Thomas Chen
Dissertation: THE DYNAMICS OF BOSE GASES
Current Placement: Insight Data Science, Inc.

Advisor: Dr. Kui Ren
Dissertation: QUANTITATIVE PAT WITH UNKNOWN ULTRASOUND SPEED: UNCERTAINTY CHARACTERIZATION AND RECONSTRUCTION METHODS
Placement: SAMSI / North Carolina State University

Advisor: Dr. Rachel Ward
Dissertation:
Placement: Principle Quantitative Analyst, Capital One Banking

Advisor: Dr. Sean Keel
Dissertation: COMPACTIFICATION OF MODULI SPACES AND MIRROR SYMMETRY
Placement: University of Pennsylvania

Advisor: Dr. Cameron Gordon
Dissertation: THE COMBINATORICS OF REDUCIBLE DEHN SURGERIES
Placement: Imperial College

Degree Awarded 2016

Advisor: Dr. Felipe Voloch
Dissertation: OBSTRUCTIONS TO THE INTEGRAL HASSE PRINCIPLE FOR GENERALIZED AFFINE CHATELET SURFACES
Placement: Rice University, RTG Lovett Instructor

Advisor: Dr. Dan Freed
Dissertation: Rectifying Stable Infinity-Categories and Relative Koszul Duality for Operads
Placement: Data Scientist, In-Q-Tel, Washington, DC

Advisor: Dr. Andrew Neitzke
Dissertation: WARPING GEOMETRIC STRUCTURES AND ABELIANIZING SL2R LOCAL SYSTEMS
Placement: University of Toronto, Postdoctoral Fellow

Advisor: Dr. Andrew Neitzke
Dissertation: ASYMPTOTIC LIMITS IN THE HITCHIN MODULI SPACE
Placement: Stanford University, Szego Visiting Assistant Professor

Advisor: Dr. Ronny Hadani
Dissertation: EXPLORATIONS IN ALGEBRA AND TOPOLOGY
Placement: Center for Transportation Research, University of Texas at Austin

Advisor: Dr. David Ben-Zvi
Dissertation: THE WONDERFUL COMPACTIFICATION FOR QUANTUM GROUPS
Placement: Institute of Science and Technology Austria, Postdoctoral Researcher

Advisor: Dr. Gordan Zitkovic
Dissertation: RECOVERING THE PAYOFF STRUCTURE OF A UTILITY MAXIMIZING AGENT

Advisor: Dr. Mirela Ciperiani
Dissertation: MULTIPLICATIVE AND DYNAMICAL ANALYSIS ON IDELES AND IDELE CLASS GROUPS

Advisor: Dr. Luis Caffarelli
Dissertation: REGULARITY ESTIMATES FOR SOME FREE BOUNDARY PROBLEMS OF OBSTACLE-TYPE
Placement: McGill University, Postdoctoral Fellow

Advisor: Dr. Andrew Blumberg
Dissertation: ASPECTS OF DERIVED KOSZUL DUALITY
Placement: University of California Los Angeles, NSF Postdoctoral Fellow

Advisor: Dr. Lewis Bowen
Dissertation: Entropy theory for locally compact sofic groups
Placement: Associate, Model Risk, Internal Audit, Goldman Sachs NYC

Advisor: Dr. Irene Gamba
Dissertation: MITTAG-LEFFLER MOMENTS AND WEIGHTED POINTWISE ESTIMATES FOR SOLUTIONS TO THE BOLTZMANN EQUATION FOR HARD POTENTIALS WITHOUT CUTOFF
Placement: University of Pennsylvania, Hans Rademacher Instructor of Mathematics

Degree Awarded 2017

Advisor: Dr. Irene Gamba
Dissertation: Global LP Solutions to the Boltzmann Equation with an Angle-Potential Concentrated Collision Kernel
Placement: Prager Assistant Professor of Applied Mathematics, Brown University

Advisor: Dr. Dan Freed
Dissertation: Rectifying Stable Infinity-Categories and Relative Koszul Duality for Operads
Placement: Data Scientist, In-Q-Tel, Washington, DC

Advisor: Dr. Raymond Heitmann
Dissertation: Cardinality Restrictions on Noetherian Spectra
Placement: Gaius Charles Bolin Research Fellow in Mathematics, Williams College

Advisor: Dr. Lewis Bowen, Dr. Amir Mohammadi
Dissertation: Effective Equidistribution Results for Horospherical Actions on the Space of Lattices
Placement: Lecturer, University of Texas at Austin

Advisor: Dr. Gordan Zitkovic
Dissertation: Martingale-Generated Control Structures and a Framework for the Dynamic Programming Principle
Placement: Data Scientist, Spark Cognition, Inc.

Advisor: Dr. Andrew Blumberg
Dissertation: A Weighty Theorem of the Heart for the Algebraic K-Theory of Higher Categories
Placement: Ross Assistant Professor, Ohio State

Advisor: Dr. Thaleia Zariphopoulou
Dissertation: Essays on Forward Portfolio Theory and Financial Time Series Modeling
Placement: Consultant, The Boston Consulting Group (BCG)

Advisor: Dr. Timothy Perutz
Dissertation: Lagrangian Torus Fibrations for Symplectic Torid Degenerations
Placement: Simons Postdoctoral Fellow, University of Pennsylvania

Advisor: Dr. Philip Uri Treisman
Dissertation: Academic Math Mindset Interventions in First Year College Calculus
Placement: Lecturer, University of Texas at Austin

Advisor: Dr. Timothy Perutz
Dissertation: Mapping Tori and Stable Pairs
Placement: Postdoctoral Scholar, University of California Santa Cruz

Advisor: Dr. Mihai Sirbu
Dissertation: Optimal Investment with High-Watermark Fee in a Multi-dimensional Jump Diffusion Model
Placement: Associate, Goldman Sachs NYC

Advisor: Dr. Sean Keel
Dissertation: GHK Mirror Symmetry and the Knutson-Tao Hive Cone
Placement: Postdoctoral Fellow, Instituto de Matematicas Unidad Oaxaca, Mexico

Advisor: Dr. Luis Caffarelli
Dissertation: Least Action Principles with Applications to Gradient Flows and Kinetic Equations
Placement: Postdoctoral Fellow, University of Maryland, College Park

Advisor: Dr. Francesco Maggi, Dr. Allesio Figalli
Dissertation: Minimality and Stability Properties in Sobolev and Isoperimetric Inequalities
Placement: RTG Postdoctoral Fellow, Northwestern University

Advisor: Dr. Felipe Voloch
Dissertation: Differential FPPF Descent Obstructions
Placement: TA Specialist, University of Texas at Austin

Advisor: Dr. Rachel Ward
Dissertation: Relax, Descend, and Certify: Optimization Techniques for Typically Tractable Data Problems
Placement: Moore-Sloan Research Fellow, New York University, Center for Data Science

Advisor: Dr. Luis Caffarelli
Dissertation: Several Regularity Results for Nonlocal Elliptic Equations
Placement: Ritt Assistant Professor, Columbia University

Advisor: Dr. Kui Ren
Dissertation: Hybrid Inverse Problems in Molecular Imaging
Placement: Applied Scientist, Amazon

Advisor: Dr. Kui Ren
Dissertation: Inverse Problems in Photoacoustic Imaging: Analysis and Computation
Placement: Postdoctoral Fellow, University of California, Irvine