11
The condensed homotopy type of a scheme
(October 9, 2025)
From the October 2025 ICMS Young Homotopy Theorists Meeting
Talks
Some videos from talks I've given.
10
Reconstructing schemes from their étale topoi
(September 9, 2024)
From the September 2024 conference Toposes in Mondovì
9
Interactions between homotopy theory and algebraic
geometry
(August 27, 2024)
From an overview talk at the August 2024 Banff workshop on Enumerative Geometry Beyond Spaces
8
Reconstruction in algebraic geometry
(January 12, 2023)
A survey/introduction to some reconstruction results in algebraic geometry aimed at an audience of graduate students across all areas of math for the IAS Spring Opportunities Workshop
7
Exit-path categories in geometry and topology
(September 22, 2022)
A general-audience 15-minute introduction to exit-path categories and some applications for the IAS Short talks by Postdoctoral Members
6
Galois-theoretic reconstruction of schemes and exodromy
(July 7, 2022)
From the July 2022 Banff workshop on Derived Categories, Arithmetic, and Reconstruction in Algebraic Geometry
5
Stratified étale homotopy theory
(May 20, 2020)
From the May 2020 edition of the Zoom conference in Motives & What Not
4
The Homotopy Theory of Stratified Spaces
(April 28, 2020)
From the Stratified Homotopy Theory Working Group in the Spring 2020 MSRI program on Higher Categories and Categorification
3
Intro to Constructible Sheaves and Exit-Paths
(April 24, 2020)
From the Stratified Homotopy Theory Working Group in the Spring 2020 MSRI program on Higher Categories and Categorification
2
Pyknotic Spaces, Spectra, etc.
(March 10, 2020)
From the Pyknotic/Condensed Seminar in the Spring 2020 MSRI program on Higher Categories and Categorification
1
Pyknotic Sets 2
(March 4, 2020)
From the Pyknotic/Condensed Seminar in the Spring 2020 MSRI program on Higher Categories and Categorification