Bobby Grizzard
office: RLM 11.146
office phone: (512) 475-8809
email: rgrizzard@math.utexas.edu
Office hours for Spring 2013: MW 11:00am - 12:00pm, TTh 9:30am - 10:30am

I am no longer at UT! Click here to find my new home page at the University of Wisconsin, where I am a postdoc.


PHOTOS OF MY BABY!

Research

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

Papers, etc.

cv

(long) research statement


Upcoming/Recent Travel

⊕ 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

Teaching

Current: M 427L, Vector Calculus, with Dr. Bart Goddard

Recent Courses:

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)


inspiration

links

UT Math Home