Arithmetic geometry and p-adic differential equations form a dynamic nexus where number theory, algebraic geometry and p-adic analysis converge. This interdisciplinary field investigates the solutions ...
American Journal of Mathematics, Vol. 138, No. 3 (June 2016), pp. 821-878 (58 pages) Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we ...
Iwahori-Hecke algebras provide a powerful algebraic framework for the analysis of mod p representations of reductive p-adic groups. These algebras emerge from the study of double coset decompositions ...