Amadou Bah
Postdoctroal Research Associate
Education
Ph.D., in Mathematics, Université Paris-Saclay - 2021
Master 2 Arithmétique et Géométrie Algébrique, Université Paris-Saclay -2017
Licence Mathématiques Fondamentales et Appliquées, Université Paris-Sud, Orsay - 2015
Research Group
Algebra and Algebraic Geometry
Research Area
Arithmetic geometry, Ramification theory of ℓ-adic sheaves
Bio
Research Interests:
My research interest broadly lies in ramification phenomena in arithmetic geometry. The past couple decades has seen remarkable progress in our understanding of the ramification of constructible sheaves in positive characteristic thanks to the work of mathematicians like K. Kato, T. Saito, A. Abbes,…culminating with the definitions of the singular support and characteristic cycle of an l-adic sheaf by A. Beilinson and T. Saito respectively, and the proof of the index formula by the latter.
I am interested in furthering that understanding (including in a rigid geometric setting), and applications of these tools to various arithmetic geometry questions: representation theory of p-adic groups, ramification aspects of local and geometric Langlands, equidistribution questions (à la Katz), …
Selected Pre-Publications:
- Variation of the Swan conductor of a Fℓ-sheaf on a rigid disc, https://arxiv.org/abs/2010.14843, To appear in Algebra & Number Theory.
- Variation of the Swan conductor of a Fℓ-sheaf on a rigid annulus, https://arxiv.org/abs/2201.12820, Tohoku Math. Journal with Tohoku Math. J. 77 (2025), 499-537.
- Characteristic Cycles and the Local Langlands conjectures, in preparation.
Email: abah2@nd.edu
Phone: 574-631-5422
Fax: 574-631-6579
Office: 208 Hayes-Healy Center
Mailing Address:
255 Hurley Bldg
Notre Dame, IN 46556-4618