Gilbert Moss – University of Maine Faculty

Gil Moss

Assistant Professor
Department of Mathematics & Statistics
University of Maine

email: gilbert.moss at maine dot edu

I was previously a postdoc at the University of Utah (2017-2022), Sorbonne University (2016-2017), and Oklahoma State University (2015-2016). I finished my PhD at the University of Texas in 2015, where my advisor was David Helm.

Research interests

Representation theory of p-adic groups, Langlands program, automorphic forms, Galois representations

NSF DMS-2302591 award abstract

Publications and preprints

Local Langlands in families: the banal case (with Jean-François Dat, David Helm, and Rob Kurinczuk): submitted, arXiv:2406.09283
Towards a theta correspondence in families for type II dual pairs (with Justin Trias): submitted, arXiv:2312.12031
Mod-l gamma factors and a converse theorem for finite general linear groups (with Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson, Ashwin Iyengar, and Robin Zhang): submitted, arXiv:2307.07593
Finiteness for Hecke algebras of p-adic groups (with Jean-François Dat, David Helm, and Rob Kurinczuk): J. Amer. Math. Soc. 37 (2024), 929-949, arXiv:2203.04929
Moduli of Langlands parameters (with Jean-François Dat, David Helm, and Rob Kurinczuk): J. Eur. Math. Soc (to appear), arXiv:2009.06708
The Kirillov model in families (with Nadir Matringe): Monatshefte für mathematik, 198, pages 393–410 (2022), arXiv:2005.13484
The universal unramified module for GL(n) and the Ihara conjecture: Algebra and number theory, vol. 15, no. 5, 1181–1212 (2021), arXiv:1909.02709
A characterization of the mod-l local Langlands correspondence with nilpotent gamma factors: Nagoya Math. J. vol. 244, 119-135 (2021), arXiv:1905.13487
On the local converse theorem and the descent theorem in families (with Baiying Liu): Math. Z. vol. 295, pp 463–483 (2020), arXiv:1711.11159
Converse theorems and the local Langlands correspondence in families (with David Helm): Invent. Math. vol. 214, issue 2, pp 999–1022 (2018), arXiv:1610.03277
Deligne–Langlands gamma factors in families (with David Helm): arXiv:1510.08743
Interpolating local constants in families: Math. Res. Lett. vol. 23 (2016), arxiv:1403.3914
Gamma factors of pairs and a local converse theorem in families: Int. Math. Res. Not. vol. 2016, issue 16 (2016), arxiv:1412.3500

misc

Here is a video of my talk in the automorphic seminar at Johns Hopkins/Michigan

Functorial zeta integrals: expository note on Rankin-Selberg zeta integrals via the Bernstein-Zelevinksy functors, arxiv:1403.3914