Yale University
Department of Mathematics
219 Prospect St
New Haven, CT 06511
I am a math graduate student of Sam Raskin at Yale University. My research interests lie in algebraic geometry and representation theory.
In the Fall of 2025, I will be on the job market.
Find my CV here.
Email: joakim.faergeman@yale.edu.
I am grateful to be supported by the Jane Street Graduate Research Fellowship for the 2025-2026 academic year.
Publications and Preprints
Local constancy of automorphic sheaves with nilpotent singular support over the moduli of curves (joint with Marius Kjærsgaard).
In preparation.
Parabolic geometric Eisenstein series and constant term functors (joint with Andreas Hayash)
Submitted.
Singular support for G-categories (joint with Gurbir Dhillon)
Submitted.
Motivic realization of rigid G-local systems on curves and tamely ramified geometric Langlands
Submitted.
Proof of geometric Langlands conjecture IV: Ambidexterity (joint with D. Arinkin, D. Beraldo, L. Chen, D. Gaitsgory, K. Lin, S. Raskin, N. Rozenblyum)
Submitted.
Appendices to Proof of geometric Langlands conjecture III: Compatibility with parabolic induction (joint with J. Campbell, L. Chen, D. Gaitsgory, K. Lin, S. Raskin, N. Rozenblyum)
Submitted.
Proof of geometric Langlands conjecture II: Kac-Moody localization and the FLE (joint with D. Arinkin, D. Beraldo, L. Chen, D. Gaitsgory, K. Lin, S. Raskin, N. Rozenblyum)
Submitted.
Quasi-tempered automorphic D-modules
Transactions of the American Mathematical Society, 378 (2025), 1401-1431.
Non-vanishing of geometric Whittaker coefficients for reductive groups (joint with Sam Raskin)
Journal of the American Mathematical Society, 38 (2025), 919-995.
The Arinkin-Gaitsgory temperedness conjecture (joint with Sam Raskin)
Bulletin of the London Mathematical Society, 55(3): 1419–1446, 2023.