This is a mostly comprehensive list of talks I have given. Contact me if you are interested in talk notes.
Research Talks
- Prismatic Rapoport-Zink spaces associated to general linear groups, Kyoto University, October 27, 2024
- Moduli of prismatic $(\mathcal{G},\mu)$-apertures and applications, The University of Tokyo, October 9, 2024
- Prismatic $(\mathcal{G},\mu)$-apertures and $1$-bounded derived stacks, Universität Münster, August 14, 2024
- Moduli of prismatic $(\mathcal{G},\mu)$-apertures, Young Topologists Meeting, August 7, 2024
Expository Talks
- The art of compactifying group schemes, BC GAGS, November 14, 2024
- The stack of $(G,\mu)$-zips is a Mori dream space, BC GAGS, April 19, 2024
- On Rapoport-Zink spaces and kin, BC Comprehensive Exam, April 2, 2024
- Fun with Bruhat-Tits buildings (and a finiteness result of Rapoport-Zink), Tufts Monday Math Meeting, April 1, 2024
- There’s plenty of room in PEL, BC GAGS, February 16, 2024
- Introduction to perversity and intersection homology, BC Math 8845 Intersection Homology, September 9, 2022
- What is a pseudomanifold?, BC Math 8845 Intersection Homology, September 7, 2022
- Recap on AIT, Green currents, and $*$-products, DAIT Learning Group, June 7, 2022
- Quadratic forms, Berkovich spaces, and patching, BC Math 8845 Rigid Analytic Geometry, May 4, 2022
- Some curiosities on divided powers, BC GIST, April 29, 2022
- Virtual intersection theories, DAIT Learning Group, April 26, 2022
- Differential forms and $q$-deformation, BC TRG, April 21, 2022
- Hitchin-type moduli spaces, BC FYZ Seminar, April 5, 2022
- Geometrization of local densities, BC FYZ Seminar, March 15, 2022
- Bott, Clifford, Fredholm, BC K-Theory and Differential Cohomology Learning Group, March 1, 2022
- Review of DAG and derived Artin stacks, DAIT Learning Group, February 1, 2022
- Meditations on Gross-Keating, BC Math 8845 Shimura Varieties, December 3, 2021
- Quasicoherent Sheaves, DAG Learning Group, November 16, 2021
- Four perspectives on Chern classes, BC Connections Learning Group, November 9, 2021
- Derived Schemes, DAG Learning Group, November 9, 2021
- A $p$-adic Thanksgiving, BC GIST, November 5, 2021
- Categorified algebraic geometry, DAG Learning Group, October 26, 2021
- Introduction to derived algebraic geometry, DAG Learning Group, October 19, 2021
- More on Spectra and Algebraic $K$-Theory, BC Arithmetic Homotopy Seminar, August 18, 2021
- Introduction to Spectra and Stable $\infty$-Categories, BC Arithmetic Homotopy Seminar, July 14, 2021
- An Introduction to the Braverman-Kazhdan-Ngô Program, BC Automorphic Forms Learning Seminar, May 5, 2021
- Fontaine’s Ramification Bound, Abelian Schemes Learning Seminar, April 23, 2021
- An introduction to Deligne’s theory of mixed Hodge structures, BC Math 8822 Perverse Sheaves, April 21, 2o21
- Adic spaces and the pro-étale site, BMS I Learning Seminar, April 13, 2021
- Décalage, BMS I Learning Seminar, March 18, 23, & 25, 2021
- Local Godement-Jacquet Theory: The Supercuspidal Case, BC Automorphic Forms Learning Seminar, March 24 & April 7 & 14, 2021
- Dieudonné Theory, Abelian Schemes Learning Seminar, March 12 & 18, 2021
- Basics of Perfectoid Rings, BMS I Learning Seminar, February 25 & March 2, 2021
- Finite Flat Group Schemes, Abelian Schemes Learning Seminar, February 5 & 12, 2021
- On the Satake Isomorphism and Langlands Dual Group, BC Math 8821 Automorphic Forms and Representations, November 13-20, 2020
- An Introduction to Heegner Points and the Gross-Zagier Formula, BC GIST, October 23, 2020
- Adèles: Rolling in the Deep, BC Math 8821 Automorphic Forms and Representations, September 21 & 23, 2020
Undergraduate
- Abelian Varieties and the Mordell-Weil Theorem, UT Austin Summer Minicourses 2020, July 6-10, 2020
- A Historical Introduction to the Riemann-Roch Theorem, UT Austin Basic Algebraic Geometry Seminar (BAGS), February 3, 2020 (based on notes by Rok Gregoric)
- What is a real number?, UT Math Club, October 8, 2019 (based on these notes)
- Intersecting perspectives on the $p$-adic integers, Ross/USA Mathematics Program, Summer 2019
- Ross 2.0: An Introduction to Ramification Theory and Manifolds, Ross/USA Mathematics Program, Summer 2019
- Class Field Theory, UT Austin Summer Minicourses 2019, June 10-14, 2019
- Poincaré Duality, UT Austin Directed Reading Program (DRP) Project Symposium, May 2, 2019
- Math Fundamentals: Compactness, UT Math Club, Spring 2019
- What is reciprocity?, UT Austin Math Undergraduate Student Talks (MUST), Spring 2019
- A Topological Proof of Bézout’s Lemma: Redux, UT Austin DRP Project Symposium, November 29, 2018
- Completion: metric and algebraic, UT Math Club, November 27, 2018
- Ext and other derived functors, UT Austin MUST, November 23, 2018
- The Magic of Projective Modules, UT Austin MUST, November 16, 2018
- The Extension Problem, UT Austin MUST, October 19, 2018
- Fun with the Gaussian Integers, UT Math Club, October 2, 2018
- A Topological Proof of Bézout’s Lemma, UT Austin MUST, September 28, 2018
- What is mathematical maturity?, UT Math Club, September 18, 2018 (based on this book)
- Fermat’s Last Theorem for Regular Primes, UT Austin MUST, March 23, 2018 (based on these notes)
- Existence of the Hilbert Class Field, Global Class Field Theory Conference Course, Spring 2018
- On some norm index computations, Global Class Field Theory Conference Course, Spring 2018
- On some $n$th power index computations, Global Class Field Theory Conference Course, Spring 2018
- On a characteristic 2 analogue of quadratic reciprocity, Ross/USA Mathematics Program, Summer 2017 (based on these notes)
- Ramification in Algebraic Number Theory, UT Austin DRP Project Symposium, Spring 2017