Teaching

• Fall 2026, Instructor, Coding Theory and Cryptography, Vanderbilt University.
• Teaching a 2 week course to high schoolers in Vanderbilt Summer Institutes, through the Program for Talented Youth. Course title: Exploring Number Theory: Unveiling the Queen of Mathematcs.
• Spring 2026, Instructor, Coding Theory and Cryptography (2 sections), Vanderbilt University.
• Fall 2025, Instructor, Being Human, Vanderbilt University.
• Spring 2025, Instructor, Graduate topics course in modular forms, Vanderbilt University.
• Spring 2025, Instructor, Graduate Algebra II, Vanderbilt University.
• Fall 2024, Instructor, Graduate Algebra I, Vanderbilt University.
• Taught a 2 week course to high schoolers in Vanderbilt Summer Academy, through the Program for Talented Youth. Course title: Exploring Number Theory: Unveiling the Queen of Mathematcs.
• Spring 2024, Instructor, Graduate Algebra II, Vanderbilt University.
• Fall 2023, Instructor, Graduate Algebra I, Vanderbilt University.
• Spring 2023, Instructor, Number Theory, Vanderbilt University.
• Fall 2022, Instructor, Coding Theory and Cryptography, Vanderbilt University.
• Fall 2020, Instructor, Topics Course on Modular Forms, Vanderbilt University.
• Spring 2020, Instructor, Number Theory, Vanderbilt University.
• Spring 2020, Instructor, Graduate Algebra II, Vanderbilt University.
• Fall 2019, Instructor, Graduate Algebra I, Vanderbilt University.
• Spring 2019, Instructor, Number Theory, Vanderbilt University.
• Spring 2019, Instructor, Linear Algebra, Vanderbilt University.
• Fall 2018, Instructor, Linear Algebra, Vanderbilt University.
• Fall 2017- Spring 2018, Helped write a new interactive textbook for teaching Linear Algebra at Georgia Tech
• Spring 2018, Instructor: Topics Course in Modular Forms, Georgia Tech.
• Spring 2018, Instructor: Intro to Number Theory, Georgia Tech.
• Fall 2017, Instructor: Graduate Algebra I, Georgia Tech.
• Fall 2017, Instructor: Foundations of Mathematical Proof , Georgia Tech.
• Hilary 2017, Instructor: Advanced Calculus, Trinity College Dublin.
• Michaelmas 2016, Instructor: Linear Algebra I, Trinity College Dublin.
• Spring 2016, Instructor: Concepts of Discrete Mathematics (intro to proofs, number theory, and groups), The Pennsylvania State University
• Fall 2015, Instructor: Calculus 1 (two sections), The Pennsylvania State University.
• Spring 2015, Creator and Instructor: Cologne Young Researchers in Number Theory Program 2015
• Spring 2015, Co-Organizer for Seminar: Modulformen (Modular Forms), University of Cologne
• Spring 2015, Co-Organizer for Pro-Seminar: Erzeugende Funktionen (Generating Functions), University of Cologne
• Winter 2014, Co-Organizer for Seminar: L-Funktionen (L-Functions), University of Cologne
• Winter 2014, Instructor: Elliptic Functions and Related Objects, University of Cologne
• Summer 2014, Co-Organizer for Seminar: Asymptotische Entwicklungen von Modulformen (Asymptotic Expansions of Modular Forms), University of Cologne
• Summer 2014, Co-Organizer for Pro-Seminar: Partitionen (Partitions), University of Cologne
• Winter 2013, Co-Organizer for Seminar: Elliptische Kurven (Elliptic Curves), University of Cologne
• Spring 2013, Instructor: Calculus 1, Emory University
• Fall 2012, Instructor: Calculus 1, Emory University

Advising

Postdocs

1. Eleanor McSpirit (Fall 2024- Spring 2026). Winner of Vanderbilt 2025 Chair's Teaching Award. First position after Vanderbilt: Assistant Professor at California Polytechnic State University, San Luis Obispo.
2. Andreas Mono (Fall 2023- Spring 2026)
3. Ian Wagner 2019-2021. First position after Vanderbilt: Postdoc at the University of Cologne.
4. Angelica Babei 2019-2020. Positions first year after Vanderbilt: Postdoctoral Fellow at the CRM thematic semester "Cohomology in Arithmetic" (Fall), Postdoctoral researcher at Dartmouth College, as part of the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation (Spring).

Graduate Students

1. Jayashree Kalita (2024-present).
2. Zachary Tripp (2018-2021), winner of 2022 Bjarni Jónsson graduate student research prize from the Vanderbilt Mathematics department. First position after Vanderbilt: Software Engineer at Digital Insight Games.

Undergraduate Research

Supervised undergraduate honors theses obtaining highest honors for Kevin Gomez and Madelynn Roche at Vanderbilt University (both finished in 2022) and Joshua Hunt (finished in 2023). Supervised honors theses for Binh Ho and Ethan Sherman (both finished in 2024).

Since January 2019, I have been running the Nashville Math Circle, for middle and high schoolers (joint with Alice Mark since Fall 2020).

The following students were advised in the Hamilton Trust Summer Internship Programme 2017 at Trinity College Dublin.

Taillte May

Conall McCabe

Ronan O'Gorman

The following projects were advised in my Cologne Young Researchers in Number Theory Program 2015.

1. Alexandru Ciolan and Robert Neiss, On the convergence of the Rogers-Ramanujan continued fraction and its generalization, Research in Number Theory, (2015) 1:15.
2. Minjoo Jang and Steffan Löbrich, Radial Limits of the Universal Mock Theta Function $g_3$, Proceedings of the American Mathematical Society, accepted for publication.
3. Joschka Braun, Johannes Buck, and Johannes Girsch, Class invariants for non-holomorphic modular functions arising from modular forms of negative weight, Research in Number Theory, (2015) 1:21.

REU in Number Theory at Emory University organized by Ken Ono

Other students advised:

1. Yeong-Wook Kwon (Ph.D. student at Sungkyunkwan University)
2. Libby Taylor (undergraduate at Georgia Tech)
3. Joshua Males (graduate student at University of Cologne)