I am very interested in working with students who want to pursue an undergraduate or master's thesis. My training is broadly in applied mathematics with my doctoral research in the area of calculus of variations, differential geometry, continuum mechanics, and applied analysis. However, as an applied mathematician, I have a very broad range of interests. Below you will find descriptions of current and past projects I have mentored. Some of the descriptions have clickable images which link to more detailed descriptions of the project. In the past I used to include a list of potential projects I could mentor. However, in some sense I have found this to be constraining. Generally, if your interests lie within the intersection of science, mathematics, and modeling then I am more than happy to work with you to develop a project that overlaps with both of our interests. I would love to hear about your ideas!

## Grace Hofmann: Noise Induced Tipping in the Wilson Cowan Equations

## John Turnage 2021-2022: Controllability of a Rolling Disk on Surfaces of Revolution

**The University of Utah.**

## CURM 2021-2022: Mathematical Modeling of COVID-19 Dynamics

**Northwestern University**and Sarah Ruth Nichols who is pursuing a Ph.D. in mathematics at

**Rice University**as well as rising seniors Malindi Whyte, Christopher Boyette, and Danielle DaSilva who subsequently participated in REU programs at

**The University of Minnesota**,

**Iowa State University**, and

**Indiana University-Purdue University Indianapolis**, respectively.

## Hannah Scanlon 2019-2021: Spread of Infectious Diseases on Adaptive Networks

**Duke University.**

## Grace Hofmann 2020-2021: Spiral Waves in the Belousov–Zhabotinsky reaction

**Wake Forest University. Go Deacs!!!**

## Nick Corak 2019-2020: Stability and Formation of Hurricanes

**Wake Forest University. Go Deacs!!!**

## Kevin Buck 2019-2020: Spread of Infectious Diseases, Vaccination and Opinion Formation

**Indiana University.**

## Elizabeth Dicus (2019-2020): Mathematical Modeling of Sex Trafficking

**Heyrick Research**, an organization focused on disrupting human traficking.

## Addie Harrison (2019-2020): Reaction Diffusion Equations and Pattern Forming Systems

**University of Arizona. Go WILDCATS!!!**

## Max Rezek (2018-2019): The Formation of Singularities in Non-Euclidean Plates

*a priori*analysis as well as through rigorous justification using gamma-convergence methods. Max is currently persuing a Ph.D. in mathematics at the

**University of Arizona. Go WILDCATS!!!**

## Addie Harrison (2018): Human Visual Tracking and Image Formation

## Hanwen Wang (2018-2019): Most Probable Tipping Events in Stochastic Differential Equations

**University of Pennsylvania.**

## Brady Gales (2017-2019): Regularization of the Head Injury Criterion Functional

**University of Arizona. Go WILDCATS!!!**

## Dylan King (2017-2018): Energy Driven Pattern Formation

## Jessica Zanetell (2017-2018): Tipping Points in Stochastically Perturbed Filippov Systems

**University of Arizona. Go WILDCATS!!!**

## Elizabeth Wallace (2017-2018): Wolves vs. Sheep

**Workday**.

## Christopher Grimm (2015-2016): Brachistochrone Problem in an Inverse Square Field

**University of Michigan**.

## Ragna Eide (2015-2016): Spread of Infectious Diseases on Adaptive Networks

**Oxford University UK.**

## Ekaterina Kryuchkova (2014-2016): Modeling Crowd Dynamics

**Cornell University**.

## Mackenzie Simper (2015): Metastable Systems

**Cambridge University UK**and is currently a mathematics Ph.D. student at

**Stanford University .**