George Todd

Hi! I'm a Visiting Assistant Professor at Union College, where I've been since September 2015.

My research is in number theory. Most recently I've been interested in problems concerning supercharacters and their application to character sums (Kloosterman sums in particular). My dissertation work was in multizeta values and function fields and I continue to be interested by problems in that area.


E-mail: toddg@union.edu

CV: (pdf)

• Stabilization of Multi-partite Graph Families, (with Danielle Gregg*, Thomas Mattman, and Zachary Porat*), in preparation.
• Supercharacters, Elliptic Curves, and the Sixth Moment of Kloosterman Sums, (with Stephan Ramon Garcia), to appear in Journal of Number Theory. (pdf)
• Supercharacters and Mixed Moments of Kloosterman Sums, (with Ángel Chávez), International Journal of Number Theory, 14:4 (2018), 1023-1032. (pdf)
• A Conjectural Characterization for \( \mathbb{F}_q(t)\)-Linear Relations between Multizeta Values, Journal of Number Theory.187:6 (2018), 264-287. (pdf)
• Infinitude of Wilson Primes for \( \mathbb{F}_q[t] \), (with Jim Sauerberg, Linghsueh Shu, and Dinesh Thakur), Acta Arithmetica 157:1 (2013), 91-100. (pdf)
• * Star denotes an undergraduate student at Union College

• Instructor (Union College)
• Abstract Algebra I
• Topics in Discrete Math (Graph Theory, Ramsey Theory, Theory of Computation)
• Intro. Logic and Set Theory
• Mathematical Cryptography
• Integrated Math Physics 2
• Calculus with Applications 1 (x3)
• Calculus 3, Calculus 4 (x2)
• Calculus 1 (x2), Calculus 2 (x2)
• Accelerated First-Year Calculus (x3)
• Instructor (University of Arizona)
• Intro. Statistics and Biostatistics
• Intro. Linear Algebra (x3)
• Vector Calculus
• Matrix Analysis
• Calculus I with Applications (x3)
• Pre-Calculus
• College Algebra
• Teaching Assistant (University of Arizona)
• Abstract Algebra I, Abstract Algebra II
• Formal Mathematical Reasoning and Writing (x2)
• College Algebra
• GK-12 (Palo Verde Magnet High School)
• GK-12 Fellow, Geometry Honors, Geometry

• Zongliang Ji - Approximation of Continuous Functions by Neural Networks - Senior Honors Thesis 2018
• Yunye Jiang - Galois Theory and the Quintic Equation - Senior Honors Thesis 2018
• Zachary Porat - Estimates for Families of Graphs - Independent Study - Spring 2018
• Danielle Gregg - Intrinsically Knotted Graphs and Familes of Graphs - Scholars Project 2017
• Melissa Epstein - Primes in Quadratic Extensions - Senior Honors Thesis 2017
• Elizabeth Ricci - Social Networks and Literature: Genre Analysis Using Network Theory - Summer Research 2016
• In progress:
• Katrina Francis - Social Robotics and Interacting Gaussian Processes - Senior Interdisciplinary Thesis
• Julia Greene - Galois Theory, Geometric Constructions, and Origami - Senior Honors Thesis
• Danielle Gregg - Stabilization of Multipartite Graph Families - Senior Thesis
• Mushan Zhong - Radix Expansions in Quadratic Fields - Independent Research 2018