David Hill

Office Hours: by appointment.

I am a postdoctoral fellow in the Research Training Group (RTG) in the Interactions of Representation theory, Geometry and Combinatorics at the Department of Mathematics, University of California, Berkeley. I received my PhD at the University of Oregon under the supervision of Alexander Kleshchev.

Office: 785 Evans Hall

Email: dhill1@math.berkeley.edu

Phone: 415-642-6923

Research

My research interests are in representation theory of Lie algebras, finite groups and related objects such as quantum groups and Hecke algebras. I am also interested in the applications of representation theory to categorification theories.

Here is my CV.

Teaching

Spring 2008, Math 104.

Fall 2008, Math 113.

Spring 2009, Group Theory.

Publications/Preprints

Elementary Divisors of the Shapovalov Form on the Basic Representation of Kac-Moody Algebras, J. Algebra 319 (2008) 5208-5246. pdf.

A note on Weyl modules for $\mathfrak{gl}_\infty$ and $a_\infty$, Communications in Algebra, Volume 36 Issue 12 (2008), 4375-4385. pdf.

Cartan Invariants of Symmetric Groups and Hecke Algebras (w/ C. Bessenrodt), preprint. pdf.

Degenerate Affine Hecke-Clifford Algebras and Type Q Lie Superalgebras (w/ J. Kujawa and J. Sussan), preprint. pdf.