Complete Curriculum Vitæ
Abbreviated Curriculum Vitæ:
Mathematical Research Interests
Broadly speaking, I am interested in combinatorics, probability, representation theory, and group theory. Part of my Ph.D. thesis uses combinatorial representation theory to prove probabilistic results on finite p-groups. Currently my research focuses on answering probabilistic questions (often about random walks) using algebraic and combinatorial machinery, especially symmetric function theory (and more generally the representation theory of finite groups).
Employment
- (2007 - Present) Bing Instructor, University of Texas at Austin (postdoctoral fellow)
Education
- (2002 - 2007) Stanford University, Ph.D. in Mathematics
- (1998 - 2002) University of Wisconsin - Madison, B.S. in Mathematics and Computer Science
Publications and Preprints
- (with M. Khalid, D. Moulton, and P. Matchett Wood) Graph pegging numbers, to appear in Discrete Mathematics. Also available at arXiv:0804.1095 [math.CO].
- Automorphism Groups of Finite p-Groups: Structure and Applications, Ph.D. thesis, available at arXiv:0711.2816v1 [math.GR].
- (with U. Martin) The automorphism group of a finite p-group is almost always a p-group, J. Algebra 312 (2007), no. 1, 294--329. Also available at arXiv:math.GR/0602039.
- Connected triangle-free m-step competition graphs, Discrete Applied Mathematics 145 (2005), no. 3, 376--383.
- (with F. King, G. Smethells, and P. Pelzl) Numerical evaluation of Hilbert transforms for oscillatory functions: a convergence accelerator approach, Computer Physics Communications 145 (2002), no. 2, 256--266.
Teaching Activities
- (Fall 2007 - Fall 2008) Lecturer, University of Texas at Austin (Courses: Calculus I, Calculus II, Probability, Algebraic Combinatorics (graduate class), Algebra (independent study))
- (Winter 2006, Spring 2006) Teaching Assistant, Stanford University (Courses: Calculus II, Differential Equations)
- (Fall 2005, Spring 2007, Summer 2007) Course Assistant, Stanford University (Courses: Combinatorics, Linear Algebra)
- (Summers 2005, 2006, Winter 2007) Lecturer, Stanford University (Courses: Calculus I (and II, unofficially, to interested students))
- (Fall 2000 - Spring 2002) Teaching Assistant, University of Wisconsin - Madison (Courses: Calculus I, Calculus II)
Recent Talks
- (September 2008) Algebra, Number Theory, and
Combinatorics Seminar, University of Texas at Austin
- (July 2008) Summer Math Workshop, University of Wisconsin -- Eau Claire
- (April 2008) Undergraduate Math Club, University of Texas at Austin
- (February 2008) Algebra and Combinatorics Seminar, Texas A&M
- (July 2007) Communicating Mathematics Conference, University of Minnesota Duluth
- (May 2007) Algebra Seminar, University of Texas at Austin
- (January 2007) Joint Mathematics Meetings, New Orleans
- (June 2006) Duluth REU, University of Minnesota Duluth
- (April 2006) Graduate Student Combinatorics Conference, University of Wisconsin - Madison
- (February 2006) Representation Theory Seminar, Queen Mary University
Recent Academic and Professional Activities
- (August 2008) Co-organizer, MathFest Project NExT Session on ''Integrating Interdisciplinary Applications into Courses''
- (Fall 2007 - Present) Project NExT Fellow
- (Fall 2007 - Present) Organizer, Algebra, Number Theory, and Combinatorics Seminar, University of Texas at Austin
- (Fall 2006 - Summer 2007) Assistant, Communicating Mathematics Conference, University of Minnesota Duluth
- (Fall 2004 - Spring 2007) Liaison, Center for Teaching and Learning, Stanford University
- (Summers 2004 - 2008) Research visitor, University of Minnesota Duluth REU
- (Summers 2002 - 2003) Research advisor, University of Minnesota Duluth REU
- Referee for the Journal of Combinatorial Theory Series A, the Ramanujan Journal, Discrete Mathematics, and Discrete Applied Mathematics
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