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] Asymptotically rigid mapping class groups of infinite graphs, with Sanghoon Kwak, Brian Udall, and Jeremy West (2025).  

2. [arXiv] Automorphisms of the sphere complex of an infinite graph, with Michael C. Kopreski, Rebecca Rechkin, George Shaji, and Brian Udall. Submitted (2024).

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

4. [arXiv][Journal]Large-scale geometry of pure mapping class groups of infinite-type surfaces. Proc. Amer. Math. Soc. 153, 2667-2680, (2025).  

5. [arXiv][Journal]Thurston's theorem: entropy in dimension one, with Ryan Dickmann, George Domat,  Sanghoon Kwak, Carlos Ospina, Priyam Patel, and Rebecca Rechkin. Math. Res. Lett.31, no.1, 127–174 (2024). 

6.  [arXiv][Journal] Jacobian elliptic fibrations on the generalized Inose quartic of Picard rank sixteen, with Adrian Clingher and Andreas Malmendier. Albanian J. Math. 17(1): 13-28 (2023).

7.  [arXiv][Jounal] The duality between F-theory and the heterotic string in D = 8  with two Wilson lines, with Adrian Clingher and Andreas Malmendier.  Lett Math Phys 110, 3081–3104 (2020). 

Talks:

• World of GroupCraft V, virtual (September 2025)

• CMO-BIRS: Blooming Beasts, Oaxaca, MX (June 2025)

• 53rd John H. Barrett Memorial Lectures, Lightning Talk, University of Tennessee, Knoxville, TN (May 2025)

• Geometry and Topology Seminar, University of Oklahoma, Norman, OK (April 2025)

• Rice Topology Seminar, Rice University, Houston, TX (April 2025) 

• Geometry and Topology Seminar, Temple University, Philadelphia, PA (April 2025) 

• Group Actions and Dynamics Seminar, UW Madison, Madison, WI (March 2025)

• BYU Topology Seminar, Provo, UT (March 2025) 

• 58th Spring Topology and Dynamics Conference, Christopher Newport University, Newport News, VA (March 2025)

• Redbud Topology Conference, Lightning Talk, University of Arkansas, Fayetteville, AR (February 2025)

• AMS Fall Central Sectional Meeting, UTSA, San Antonio, TX (September 2024)

• 41st Workshop in Geometric Topology, Calvin University, Grand Rapids, MI (June 2024)

• GTA: Graduate Student Conference in Algebra, Geometry, and Topology, Temple University, Philadelphia, PA (June 2024)

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

• Log Cabin Workshop, Young, AZ (January 2024)

• Wasatch Topology Conference,  Lightning Talk,  University of Utah, Salt Lake City, UT (October 2023)

• GT Gaps, (August 2023)

• Redbud Topology Conference, Lightning Talk, University of Oklahoma, Norman, OK (March 2023)

• Joint Math Meetings, San Diego CA, (January 2018)

• MAA Intermountain Section Annual Conference, Utah State University, Logan, UT, (2018)

• Utah Conference on Undergraduate Research, Utah Valley University, Provo, UT (2017)

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). 

Here are some media releases highlighting my research...