Professor, Chair

PhD, University of Chicago, Representation Theory

**Contact Information: 211/226 Mathematics Building University at Buffalo Buffalo, NY 14260-2900**

Tel: (716) 645-8775, 645-8780 (A. Zitto)

Fax: (716) 645 5039

E-mail: dhemmer@buffalo.edu

Personal website: David Hemmer

**Algebra, modular representation theory of symmetric and general linear groups**

David Hemmer's main area of interest is the representation theory of the symmetric group, and related topics including finite dimensional algebras and algebraic groups. He has a particular interest in cohomology and modular representation theory, for example computing cohomology for natural symmetric group modules and determining extensions. He also finds interesting related problems in algebraic combinatorics.

"The complexity of certain Specht modules for the symmetric group," Journal of Algebraic Combinatorics, (30) (2009), 421-427. pdf

"The group of endotrivial modules for the symmetric and alternating groups," (With Jon Carlson and Nadia Mazza), Proc. Edin. Math. Soc. (2010) 53, 83–95 . pdf

"On the cohomology of Young modules for the symmetric group," (With Fred Cohen and Dan Nakano), *Advances in Mathematics* (224) (2010), *1419-1461.* pdf

"Stable decompositions for some symmetric group characters arising in braid group cohomology," Journal of Combinatorial Theory Series A, (118) (2011) 1136-1139. pdf

"A combinatorial approach to Specht module cohomology," Algebra Colloq. (19) (2012) 777-786. pdf

"Realizing large gaps in cohomology for symmetric group modules," Algebra and Number Theory (6) 2012 825-832. pdf

"Frobenius twists in the representation theory of the symmetric group," Proceedings of Symposia in Pure Mathematics, (86) 2012 187-200. pdf

D. Hemmer, "Stable decompositions for some symmetric group characters arising in braid group cohomology," Journal of Combinatorial Theory Series A, **(118)** (2011) 1136-1139.

F. Cohen, D. Hemmer, D. Nakano, "On the cohomology of Young modules for the symmetric group," Advances in Mathematics **(224)** (2010), 1419-1461.

"The Lie module and its complexity," (With Fred Cohen and Dan Nakano), *Bulletin of the London Math Society*, **(48)*** *2016, 109-114*. *pdf

D. Hemmer, "Cohomology and generic cohomology of Specht modules for the symmetric group," J. Algebra **(322)** (2009), 1498-1515.

D. Hemmer, D. Nakano, "Specht filtrations for Hecke algebras of type A," J. London Math Society (2) **(69)** (2004), p. 623-638.