Mathematics Alumni
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: 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: Caffarelli
Dissertation:
Placement: Univ. of British Columbia
Advisor: Vishik
Dissertation: INCOMPRESSIBLE BOUSSINESQ EQUATIONS AND SPACES OF BORDERLINE BESOV TYPE
Placement: Lockheed Martin Corp.
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: 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)