Research 

Research Interests

I am interested in low-dimensional topology and geometric group theory.  Currently, I am studying mapping class groups of infinite-type surfaces and graphs. 

Papers and Preprints 

1. [arXiv] Coarsely bounded generating sets for mapping class groups of infinite-type surfaces, with Sanghoon Kwak and Rebecca Rechkin. Submitted (2023). 

2. [arXiv] Large-scale geometry of pure mapping class groups of infinite-type surfaces. Submitted (2023). 

3. [arXiv] Thurston's theorem: entropy in dimension one, with Ryan Dickmann, George Domat,  Sanghoon Kwak, Carlos Ospina, Priyam Patel, and Rebecca Rechkin. to appear in Mathematical Research Letters (2022).

4.   [arXiv][Jounal] The duality between F-theory and the heterotic string in D = 8  with two Wilson lines, with Adrian Clingher and Andreas Malmendier. Letters in Mathematical Physics (2020).

5. [arXiv][Journal] Jacobian elliptic fibrations on the generalized Inose quartic of Picard rank sixteen, with Adrian Clingher and Andreas Malmendier. Albanian J. Math (2023).

Here are some resources related to my research I have (co)created: 

• Lecture On Big Out Fn, Log Cabin Workshop, with Sandy Guadalupe Aguilar Rojas, Becky Eastham, and Brian Udall (2024). 

• The Birman Exact sequence for Finite and Infinite Type Surfaces, with Rebecca Rechkin (2022). 

Talks:

• Max Dehn Seminar, University of Utah, Salt Lake City, UT (November 2023). 

• Wasatch Topology Conference,  Lightning Talk,  Salt Lake City, UT (October 2023). 

• GT Gaps, (August 2023).

• Redbud Topology Conference, Lightning Talk, Norman, OK (March 2023).

• Joint Math Meetings, San Diego CA, [Relations Between Theta Functions of Genus One and Two from Geometry] (January 2018).

• MAA Intermountain Section Annual Conference, Logan, UT, [Theta Relations from Low Degree Coverings] (2018).

• Utah Conference on Undergraduate Research, Provo, UT [A Digital Database of Integrable Systems and their Properties] (2017).

Here are some media releases highlighting my research...