Institute for Advanced Study / Princeton University
Department of Mathematics
1 Einstein Dr
Princeton, NJ 08540
I am a Bourgain Fellow at IAS and an Associate Research Scholar at Princeton University. I am also a Junior Research Fellow at Trinity College, Cambridge.
I received my PhD from Yale University under the supervision of Sam Raskin.
Find my CV here.
Email: jfaergeman@ias.edu.
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.