Portrait of Peter Dillery

Peter Dillery

Research assistant (from October 2025), Department of Mathematics, University of Bonn

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

About

I will be a research assistant at Bonn starting October 2025, 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. I organized the workshop Geometric Approaches to the Local Langlands Program. I am currently on the job market.

CV

Download my CV (PDF).

Research Publications

  1. Vector bundles on cones over a Fargues–Fontaine curve. (with Kiran Kedlaya) preprint. (17 pp.)
  2. Non-basic rigid packets for discrete L-parameters. (with David Schwein) preprint. (66 pp.)
  3. Isocrystals and limits of rigid local Langlands correspondences. arXiv. Under revision at Algebra and Number Theory. (39 pp.)
  4. A stacky generalized Springer correspondence and rigid enhancements of L-parameters. (with David Schwein) arXiv. Submitted. (46 pp.)
  5. Rigid inner forms over global function fields. arXiv. Accepted at Journal of the Mathematical Institute of Jussieu. (62 pp.)
  6. Rigid inner forms over local function fields. Advances in Mathematics. (98 pp.)
  7. The canonical join complex for biclosed sets. (with A. Clifton and A. Garver) Algebra Universalis (2018) 79:84. arXiv. (22 pp.)
  8. Minimal Length Maximal Green Sequences and Triangulations of Polygons. (with E. Cormier, K. Serhiyenko, J. Resh, J. Whelan) Journal of Algebraic Combinatorics. (25 pp.)

Current Teaching

Fall 2025: None.