My Students
My Students
This is a list of all of my current and past post-docs, graduate students, and undergraduate REU students.
Post-Docs
Chris Jennings-Shaffer (2015-2017)
Next Job: Postdoctoral Scholar, University of Cologne, Germany
Ph.D. Students
Andrés Valloud (expected 2026)
Lucas Perryman-Deskins (expected 2025)
Leah Sturman Ph.D. Mathematics, 2023
Thesis: On the Remaining Cases of the Kang-Park Conjecture in Partition Theory
First Job: Visiting Assistant Professor, Bowdoin College, Brunswick, ME
Benjamin Toomey, Ph.D. Mathematics, 2022
Thesis: Zeros of Replicable Functions
First Job: Currently unknown
Michael Allen, Ph.D. Mathematics, 2022
First Job: Postdoctoral Fellow, Louisiana State University, Baton Rouge, LA
Allison Arnold-Roksandich, Ph.D. Mathematics, 2019
Thesis: Establishing Several Infinite Families of Mock and Quantum Modular Forms
First Job: Visiting Assistant Professor, Boise State University, Boise, ID
Jetjaroen Klangwang, Ph.D. Mathematics, 2018
Thesis: Zeros of Certain Combinations of Products of Eisenstein Series
First Job: Visiting Assistant Professor, Union College, Schenectady, NY
Tamsyn Morrill, Ph.D. Mathematics, 2017
Thesis: Overpartition Ranks, Cranks, and Frobenius Representations
First Job: Postdoctoral Fellow, University of New South Wales, Canberra, Australia
Ali Hammood Al-Saedi, Ph.D. Mathematics, 2017
Thesis: Periodicity and Partition Congruences
First Job: Instructor of Mathematics, Al-Mustansiriya University, Baghdad, Iraq
M.S. Students
Leah Sturman, M.S. Mathematics, 2019
Quantum Modular Form Duality Theorems From Combinatorics and Knot Theory (expository paper)
Michael Allen, M.S. Mathematics, 2018 (oral exam)
Allison Arnold-Roksandich, M.S. Mathematics, 2016
On the Multiplicativity of Eta-quotients and How They Wish They Were Theta Functions (expository paper)
Lukas Zeller, M.S. Mathematics, 2015
Improving Lenstra’s Elliptic Curve Method (expository paper)
Tamsyn Morrill, M.S. Mathematics, 2013
Galois Representations and the Modularity Theorem (expository paper)
Joel Baker, M.S. Mathematics, 2011
De Bruijn Graphs and their Applications to Fault Tolerant Networks (expository paper)
Karen Smith, M.S. Mathematics, 2011
The Collision of Quadratic Fields, Binary Quadratic Forms, and Modular Forms (expository paper)
Chris Jennings-Shaffer, M.S. Mathematics, 2011 (oral exam)
Asa Scherer, M.S. Mathematics, 2010
The j-Function and the Monster (expository paper)
Eric Bucher, M.S. Mathematics, 2010
The Partition Function and Ramanujan Congruences (expository paper)
Julie Linman, M.S. Mathematics, 2010
Burnside's Theorem (expository paper)
Elijah Bunnell, M.S. Mathematics, 2009
Class Number One Problems (expository paper)
Undergraduate REU students
Gabriel Gray, Emily Payne, and Ren Watson, 2024
Generalized partition identities and fixed perimeter analogues
(REU Proceedings)
Ling Chen, Isabelle Hernandez, and Zain Shields, 2023
Analogues of Alder-type Partition Inequalities for Fixed Perimeter Partitions
(REU Proceedings)
Liam Armstrong, Bryan Ducasse, and Thomas Meyer, 2022
A Generalized Alder-Type Partition Inequality
(REU Proceedings)
Adriana Duncan, Simran Khunger, and Ryan Tamura, 2020
Generalizations of Alder's Conjecture via a Conjecture of Kang and Park
(REU Proceedings)
Savana Ammons, Young Jin Kim, and Laura Seaberg, 2019
An Analogue of k-marked Durfee Symbols for Strongly Unimodal Sequences
(REU Proceedings)
Nicholas Anderson, Asimina Hamakiotes, and Benjamin Oltsik, 2018
Eta-quotients of Prime or Semiprime Level and Elliptic Curves
(REU Proceedings)
Brian Diaz and Erin Ellefsen, 2016
Extending a catalog of quantum modular forms to an infinite class
(REU Proceedings)
Ethan Alwaise and Elena Iannuzzi, 2015
A proof of Mao's Conjectures on partition rank inequalities and an investigation of rank difference functions
(REU Proceedings)
Acadia Larsen and Alexa Rust, 2013
Inequalities for Positive Rank and Crank Moments of Overpartitions
(REU Proceedings)
Allison Arnold-Roksandich, Zoe Jansen, and Anthony Lazzaro, 2012
Expressing the k-Rank Generating Function and Rank Difference Functions for Multipartitions as Modular Forms
(REU Proceedings)
Michael Donatz and Nicole Marsaglia, 2011
Generalizing Euler's pentagonal number thoerem to multipartitions
(REU Proceedings)
Oleg Lazarev, Matthew Mizuhara, and Benjamin Reid, 2010
Some results in partitions, plane partitions, and multipartitions
(REU Proceedings)
Alexander Montoye and Natalie Rich, 2009
Non-conjugate, rook equivalent t-cores
(REU Proceedings)
Joanna Furno and Patrick Waters, 2007
Investigations regarding partitions and multipartitions
(REU Proceedings)