Portrait of Peter Dillery

Peter Dillery

Email: [enable JavaScript]

Interests: local & global Langlands correspondence, representation theory, related aspects of algebraic geometry.

About

I am a research assistant at Bonn, working with Jessica Fintzen. I study the local and global Langlands correspondence, with recent projects touching related aspects of algebraic geometry. I received my Ph.D. from the University of Michigan in 2022 (advisor: Tasho Kaletha). From Fall 2022 to Fall 2025 I was a Brin Postdoctoral Fellow at the University of Maryland, where I co-organized the UMD Number Theory and Representation Theory Seminar and taught for the DC Math Circle.

Conferences/Workshops Organized

CV

Download my CV (PDF).

Research Publications and Preprints

  1. The extended Fargues–Scholze spectral action. (with Arnaud Eteve) Preprint, 50 pp. PDF
  2. Moduli of G-bundles on rigid gerbes over affine curves. Preprint, 35 pp. arXiv
  3. Global rigid inner forms. Appendix to Courbes et fibrés vectoriels en théorie de Hodge z-adique globale, by Siyan Daniel Li-Huerta. Preprint, arXiv
  4. A Tannakian description of the local Kaletha gerbe. (with Alexander Bertoloni Meli) Preprint, 26 pp. arXiv
  5. Vector bundles on cones over a Fargues–Fontaine curve. (with Kiran Kedlaya) Preprint, 17 pp. PDF
  6. Non-basic rigid packets for discrete L-parameters. (with David Schwein) Preprint, 41 pp. arXiv
  7. Isocrystals and limits of rigid local Langlands correspondences. Accepted, Algebra and Number Theory. 39 pp. arXiv
  8. A stacky generalized Springer correspondence and rigid enhancements of L-parameters. (with David Schwein) Under revision, Journal of the Institute of Mathematics of Jussieu. 46 pp. arXiv
  9. Rigid inner forms over global function fields. Journal of the Institute of Mathematics of Jussieu. 62 pp. arXiv
  10. Rigid inner forms over local function fields. Advances in Mathematics. 98 pp.
  11. The canonical join complex for biclosed sets. (with A. Clifton and A. Garver) Algebra Universalis 79:84 (2018). 22 pp. arXiv
  12. Minimal length maximal green sequences and triangulations of polygons. (with E. Cormier, K. Serhiyenko, J. Resh, and J. Whelan) Journal of Algebraic Combinatorics. 25 pp.

Current Teaching

Spring 2026: None.