Individual Mentoring
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Ph.D. Theses
- Kate Thompson — Explicit Representation Results for Quadratic Forms over $\mathbb{Q}$ and $\mathbb{Q}(\sqrt{5})$ by Analytic Methods. (UGA 2008–2014; with secondary advisor Danny Krashen; Thesis)
Masters Theses
- Laura Nunley — Geometry of Numbers approach to small solutions to the Extended Legendre equation
(UGA 2009–2010; secondary advisor to Pete Clark; Thesis)
PROMYS Returning Student Projects
- Portfolio Theory
(PROMYS 2014; Description) - Explicit Reduction theories for binary forms over $\mathbb{Q}(\sqrt{2})$
(PROMYS 2011; Description) - Conway’s topographs for binary forms over $\mathbb{Q}(\sqrt{2})$
(PROMYS 2011; Description) - Finiteness Theorems for Binary Hermitian forms over $\mathbb{Z}$
(PROMYS 2009; Description) - Quaternion arithmetic
(PROMYS 2008)
Undergraduate Student Theses
- Mayank Varia — Explicit calculation of the L-function for Kummer surfaces
(Duke ????; Thesis with high distinction) - Brandon Levin — ??? Binary Quadratic Forms ???
(Duke ????; secondary advisor to Les Saper)
Independent Study Courses
- Kate Thompson — Quaternion Algebras and Quadratic Forms
(UGA; Fall 2009, Spring 2010, Fall 2010) - Mandy Frese — Number Theory and Elliptic Curve Cryptography
(Duke; ????, ????) - Ebony Harvey — Reduction Theories for totally definite Binary Quadratic Forms over $\Bbb{Z}[\sqrt{2}]$
(Duke; Summer ????) - Mayank Varia —
(Duke; ???? ) - Two Crypto people… (Duke; Summer ????) — Combinatorics
- Nina & Matt Young VIGRE Reading seminar at Rutgers.