Undergraduate Research

I generally try to have one or two research students each semester. (Too few is boring and too much is too much.) If you are an undergraduate interested in research in mathematics, feel free to reach out. I may have a project that would interest you! You may also be interested in attending the Geometry & Topology Seminar, where I advertise and describe various undergraduate research projects.

Here is some general information about undergraduate research in mathematics and statistics.

Students (current and former)

Alexa King. Project: Heisenberg Representation Varieties and the Torelli Group. Spring 2024-Present.
Lydia Hill. Project: Symmetry in Geodesic Flows of Fixed-Area Polygons. Summer 2023 and Spring 2024. Supported by the Jeffrey E. Tickle ’90 Family Endowment.
Michael Glover. Project: Geodesic Flows of Fixed-Area Polygons and Fixed-Volume Tetrahedra. Summer 2023 and Spring 2024. Supported by the Jeffrey E. Tickle ’90 Family Endowment. Here is a project summary created by Michael.
Noah Pope. Project: Gradient Flows–Approximation Schemes and General Properties. Summer 2022. Supported by the Jeffrey E. Tickle ’90 Family Endowment.
Andre Mas. Project: Gradient Flows and Nahm's Equations. Summer 2022. Supported by the Jeffrey E. Tickle ’90 Family Endowment. Here is a project summary created by Andre.
William Nettles. Project: Geodesics & the Schrödinger Equation. Fall 2021 and Summer 2022.
Andre Mas. Project: Representation Varieties and the Heisenberg Group. Summer 2021. Supported by the Jeffrey E. Tickle ’90 Family Endowment. Here is a project summary created by Andre.
Shane Daveler. Project: Representation Varieties and Fixed Points. Spring 2020–Summer 2021. Shane's Undergraduate Honors Thesis.
Jacob Crim. Project: The Volume Conjecture. Fall 2020–Spring 2021.
Jacob Crim. Project: Critical Groups. Summer 2020. Supported by the Jeffrey E. Tickle ’90 Family Endowment.
Shane Daveler. Project: Critical Groups. Summer 2020. Supported by the Jeffrey E. Tickle ’90 Family Endowment.
Wesley Engelbrecht. Project: Immutable Sandpiles. Fall 2019–Spring 2020. Here is a preprint of a paper produced by this project. This paper was published in Discrete Mathematics, Vol. 345, Issue 1, 2022.
Wesley Engelbrecht, Jawahar Madan, Eric Piato, Christina Shatford, Angela Vichitbandha (co-supervised with Josh Ducey). Project: Algebraic and Geometric Invariants of Incidence Structures. Summer 2019. Supported by NSF Grant Number 1560151 and the Jeffrey E. Tickle ’90 Family Endowment. Here is a preprint of a paper produced by this project. This paper was published in the Journal of Combinatorial Theory, Series A, Vol. 180, 105424, 2021.
Jake McNamara (co-supervised with Chris Woodward). Project: Injectivity of the Narasimhan–Seshadri map for instantons. Summer 2014. Supported by NSF Award DMS 1207194.
Andrew Schultz (co-supervised with Chris Woodward). Project: Heegaard Splittings of Circle Fibrations. Summer 2012. Supported by NSF Award DMS 0605097.