Jack Sempliner
Email: [first initial][last name][at]math.ucla.edu
About
As of 2025 I am a Hedrick adjunct assistant professor at the University of California, Los Angeles. Before that from 2021-2024 I was a postdoc at Imperial College London where I was supported by the ERC grant of Toby Gee. Before (and indeed during) that I was a graduate student at Princeton University, where I was a PhD student of Richard Taylor. While at Princeton I was supported by the National Science Foundation under the NSF Graduate Research Fellowship Program.
Together with Peter Xu I am organizing the UCLA Number Theory Seminar during the calendar year 2025-2026. If you would like to come give a talk, please feel free to get in touch.I work in number theory and arithmetic geometry. Specifically I have a focus on the geometry of Shimura varieties and moduli stacks of shtuka with applications towards the Langlands program. More recently I have been focusing on the p-adic geometry of Shimura varieties at infinite level, the geometry of Igusa stacks, and the geometry of the moduli stacks of Langlands parameters.
Papers and Preprints
- (with Pol van Hoften) A geometric Jacquet-Langlands correspondence for Shimura varieties. (Formerly: "On exotic Hecke correspondences," in preparation)
- (with Richard Taylor) On the formalism of Shimura varieties. Submitted. [pdf]
- (with Pol van Hoften) On the Piatetski-Shapiro construction for integral models of Shimura varieties Submitted. [pdf], [arxiv]
- (with Richard Taylor) Cocycles for Kottwitz cohomology. To appear in Pure and Applied Math Quarterly, special edition in honor of John Coates. [arxiv]
- On G-isoshtuka and Igusa varieties over function fields. (PhD thesis)
Teaching
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UCLA
- Math 32A, Fall 2025.