office: RLM 11.146
office phone: (512) 475-8809
Office hours for Spring 2013:
MW 11:00am - 12:00pm, TTh 9:30am - 10:30am
I am a Ph.D. Candidate working under Professor Jeffrey Vaaler at The University of Texas at Austin Department of Mathematics.
I am interested in the solutions of polynomial equations in one variable (the theory of algebraic numbers), and in the algebraic solutions to polynomial equations in several variables (diophantine geometry). I am especially interested in heights, which are real-valued functions that measure the complexity of an algebraic number or an algebraic point on a variety. Most of my research has focused on studying properties of heights over infinite extensions of the rational numbers. This is motivated by applications to diophantine equations, where a powerful tool is to compare height estimates to prove that equations don't have too many solutions.
Likes: heights, diophantine geometry, algebraic number theory, Galois theory, group theory, arithmetic statistics, SAGE, GAP, MAGMA
(long) research statement
⊕ 9/7/13-9/8/13: PANTS XX, Davidson College
⊗ 10/5/13-10/6/13: Maine-Québec Number Theory Conference, University of Maine
⊕ 11/25/13-12/4/13: Heights in diophantine geometry, group theory, and combinatorics, ESI, Vienna
⊗ 3/15/14-3/19/14: Arizona Winter School 2014: Arithmetic Statistics, University of Arizona
⊕ 7/14/14-7/25/14: Second ERC: Diophantine Geometry, Unlikely Intersections and Algebraic Dynamics, Cetraro, Italy
Current: M 427L, Vector Calculus, with Dr. Bart Goddard
⊕ M 408S, Integral Calculus, with Dr. Elizabeth Stepp, Spring 2013.
⊗ M316L Foundations of Geometry, Statistics, and Probability, Spring 2012
⊕ M316K Foundations of Arithmetic, Fall 2011
Previous Courses (full list)
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