Brian Udall

Research:

• Asymptotically rigid mapping class groups of infinite graphs (2025, Joint with Sanghoon Kwak, Thomas Hill, and Jeremy West) 

• Automorphisms of the sphere complex of an infinite graph (2024, submitted, Joint with Thomas Hill, Michael C. Kopreski, Rebecca Rechkin, and George Shaji)

• The sphere complex of a locally finite graph (2024, submitted)

• Combinations of parabolically geometrically finite groups and their geometry (2023,  To Appear: Groups, Geometry, and Dynamics)

Undergraduate Research:

• The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator (With Minsung Cho, Seth Hoisington, and Roger Nichols).

• Finite-Invariance Index of Infinite Type Surfaces and the Stability of Ends (Undergraduate Thesis, Unpublished draft)

Teaching:

As Instructor of Record

• Multivariable Calculus (Fall 2025, Rice University MATH 212)

• Multivariable Calculus (Fall 2023, Rice University MATH 212)

• Multivariable Calculus (Summer 2023, Rice University MATH 212)

Teaching Assistant

• Differentiable Manifolds (Spring 2025, Rice University MATH 451/551, Instructor: Jo Nelson)

• Geometric/Algebraic Topology (Fall 2024, Rice University MATH 444/539, Instructor: Christopher Leininger)

• Honors Multivariable Calculus (Spring 2024, Rice University MATH 232, Instructor: Steve Wong)

• Elements of Analysis (Spring 2023, Rice University MATH 302, Instructor: Khanh Le)

• Honors Linear Algebra (Fall 2022, Rice University MATH 354, Instructor: Christopher Leininger)

You may have seen me (or might see me) at:

• Wasatch Topology Conference (University of Utah,  August 2025)

• BIRS Blooming Beasts: A Conference on the Geometry, Topology, and Dynamics of Infinite-Type-Surfaces (BIRS-CMO, June 2025)

• Midwest Summer School in Geometry, Topology, and Dynamics (University of Wisconsin-Madison, June 2025)

• Geometry and topology of polyhedral complexes (Ohio State University, May 2025)

• Recent Developments in GGT (Townsend, Tennessee) (University of Tennessee, Knoxville; May 2025)

• RivGGT (University of Virginia, May 2025)

• Spring Western AMS Sectional Meeting (Special Session on Huge Groups from a Geometric Viewpoint) (California Polytechnic, May 2025)

• Inverting Hierarchies in Geometry, Topology, and Dynamics (UC Riverside, April 2025)

• Redbud Topology Conference (University of Arkansas, February 2025)

• Model Theory meets Geometric Group Theory (University of Münster, February 2025)

• Texas Geometry and Topology Conference (Texas A&M, October 2024)

• Topology Student Workshop (Vanderbilt University, June 2024)

• BIRS Advances in Hierarchical Hyperbolicity (BIRS, May 2024)

• Riverside Workshop on Geometric Group Theory (UC Riverside, May 2024)

• Young Geometric Group Theory XII (University of Bristol , April 2024)

• Spring Topology and Dynamics Conference (University of North Carolina at Charlotte,  March 2024)

• Big Log Cabin Workshop (Young, Arizona, January 2024)

• Texas Geometry and Topology Conference (Rice University, November 2023)

• Wasatch Topology Conference (University of Utah, October 2023)

• Redbud Topology Conference (University of Oklahoma, April 2023)

• Geometry, Arithmetic, and Groups (In honor of Alan Reid) (UT Austin, June 2022)

Talks given:

• Spring Western AMS Sectional Meeting (Special Session on Huge Groups from a Geometric Viewpoint) (May 2025)

  • Locally finite graphs and their doubled handlebodies

• BIRS Advances in Hierarchical Hyperbolicity (May 2024)

  • Parabolically geometrically finite subgroups of mapping class groups

• Spring Topology and Dynamics Conference  (March 2024)

  • Combinations of parabolically geometrically finite groups 

• University of Virginia Geometry Seminar (January 2024)

  • Combinations of parabolically geometrically finite groups 

• University of Maryland Geometry-Topology Seminar (January 2024)

  • Combinations of parabolically geometrically finite groups 

• George Mason University TADS (January 2024)

  • Combinations of parabolically geometrically finite groups 

Lightning Talks given:

• Inverting Hierarchies in Geometry, Topology, and Dynamics (UC Riverside, April 2025)

  • Sphere graphs and big Out(F_n)

• Redbud Topology Conference (University of Arkansas, February 2025)

  • Sphere graphs and big Out(F_n)

• Model Theory meets Geometric Group Theory (University of Münster, February 2025)

  • Sphere graphs and big Out(F_n)

• Young Geometric Group Theory XII (April 2024)

  • Sphere graphs and big Out(F_n)

• Texas Geometry and Topology Conference (November 2023)

  • Combinations of parabolically geometrically finite groups 

• Wasatch Topology Conference (October 2023)

  • Combinations of parabolically geometrically finite groups