Research Talks
"Geometric eigenvalue inequalities," Indiana University Partial Differential Equations Seminar, April 2025.
"The hot spots conjecture with mixed boundary conditions and small Dirichlet region," Indiana University Partial Differential Equations Seminar, November 2024.
"The hot spots conjecture with mixed boundary conditions and small Dirichlet region," Harmonic Analysis and Differential Equations Seminar, University of Illinois Urbana-Champaign, October 2024.
"The hot spots conjecture with mixed boundary conditions and small Dirichlet region," Midwestern Workshop on Asymptotic Analysis, October 2024.
"The hot spots conjecture with mixed boundary conditions" at the UK Workshop on Spectral Theory, September 2024. (Notes, Recording)
"The hot spots conjecture for some non-convex domains" at the Great Lakes Mathematical Physics Meeting, June 2024. (Notes)
"The hot spots conjecture with mixed boundary conditions" at the Graduate Student Conference on Algebra, Geometry, and Topology, June 2024.
"The hot spots conjecture with mixed boundary conditions" at the Ohio River Analysis Meeting, February 2024.
"The hot spots conjecture with mixed boundary conditions" at the Texas Analysis and Mathematical Physics Symposium, February 2024.
"The hot spots conjecture with mixed boundary conditions" at Indiana University's Geometry Seminar, February 2024. (Notes)
"Hot spots and spectral simplicity of spherical lunes" at the Graduate Student Topology and Geometry Conference at Harvard University, July 2023.
"The hot spots conjecture for obtuse hyperbolic triangles" at Spectra Survey of Mathematics Conference at the University of Kentucky, May 2023.
"The hot spots conjecture for hyperbolic triangles" at the Graduate Student Conference in Algebra, Geometry, and Topology at Temple University, May 2023.
Expository Talks
I have attached notes corresponding to each talk, but please beware that they are fairly informal and may contain errors and a lack of proper references.
"A brief introduction to spectral theory and the heat equation," Rose-Hulman Institute of Technology Mathematics Seminar, November 2024.
"Finding geometric quantities via the heat equation" at IU's Graduate Student Seminar, September 2024. (Notes)
"Taut sutured manifold hierarchies and Haken manifolds" at IU's sutured manifold decompositions seminar, March 2023. (Notes)
"The braid group and diffeomorphisms of pairs of pants" at IU's Teichmüller theory seminar, October 2022. (Notes)
"Classifying multicurves in hyperbolic pairs of pants" at IU's Teichmüller theory seminar, October 2022. (Notes)
"Quasiconformal maps and extremal length" at IU's first-year graduate student seminar, April 2022. (Notes)
"The Veech dichotomy" at IU's Teichmüller theory seminar, March 2022. (Notes)
"Group actions on translation surfaces" at IU's Teichmüller theory seminar, February 2022. (Notes)
"Hyperbolic geometry and Teichmüller theory" at IU's first-year graduate student seminar, January 2022. (Notes)
Upcoming Travels
PIMS-CRM Summer School in Probability at University of British Columbia, June 2025.
Interactions between convex geometry and spectral analysis at Université de Montréal, July 2025.
Emerging Horizons in Geometric Spectral Theory: an ECRs workshop at Cambridge University, February 2026.
Past Conferences and Summer Schools
Ohio River Analysis Meeting at University of Cincinnati, March 2025.
Midwestern Workshop on Asymptotic Analysis at Indiana University, October 2024.
UK Workshop on Spectral Theory at The University of Edinburgh, September 2024.
SL Math summer school on the H-principle at Tohoku University, July 2024.
Microlocal Analysis and Quantum Dynamics Conference at Northwestern University, June 2024.
Summer school on Microlocal Analysis and Quantum Dynamics at Northwestern University, June 2024.
Graduate Student Conference in Algebra, Geometry, and Topology at Temple University, May 2024.
Ohio River Analysis Meeting at University of Kentucky, March 2024.
Texas Analysis and Mathematical Physics Symposium at Texas A&M, February 2024.
Durham Symposium 2023: Spectral Gaps at Durham University, August 2023.
SL Math summer school on Periodic and Ergodic Spectral Problems at University of Montreal, June 2023.
Summer school on Geometry and Spectra of Random Hyperbolic Surfaces at University of Montreal, June 2023.
Graduate Student Conference in Algebra, Geometry, and Topology at Temple University, May 2023.
Spectra Survey of Mathematics Conference at the University of Kentucky, May 2023.
Midwest Geometry Conference at Kansas State University, March 2023.
East Coast Operator Algebras Symposium at Michigan State University, October 2022.
Laplacians on Random Hyperbolic Surfaces and Random Graphs at Northwestern University, June 2022.
Deformations of Geometric Structures in Current Mathematics: A Celebration of the Works of Masatake Kuranishi at Columbia University, May 2022.