From September 2019, I will be a postdoc at Kings College London. In the fall of 2020 I will be starting a tenure-track position at Montana State University, Bozeman.
Previously, I have held postdoctoral positions at the University of Edinburgh and the University of Texas, Austin. I was a graduate student of
David Nadler at Northwestern University.
Research Interests :
My research is centered around the field of Geometric Representation Theory. Much of my work involves the study of algebraic systems of differential equations (D-modules) in the presence of symmetry, drawing on concepts and tools from category theory, homotopy theory, derived algebraic geometry, and mathematical physics.
The University of Edinburgh, School of Mathematics
James Clerk Maxwell Building
The King's Buildings
Peter Guthrie Tait Road
Edinburgh EH9 3FD, UK
Office: JCMB 5407
E-mail address: sam.gunningham[at]ed[dot]ac[dot]uk
- Highest Weights for Categorical Representations
Joint with David Ben-Zvi and Hendrik Orem
arXiv:1608.08273.International Mathematics Research Notices (2019), rny258
- Generalized Springer Theory for D-modules on a Reductive Lie Algebra
arXiv:1712.01963.Selecta Mathematica New Series (2018) 24: 4223
- The Character Field Theory and Homology of Character Varieties
Joint with David Ben-Zvi and David Nadler
arXiv:1705.04266. (accepted for publication in Mathematical Research Letters)
- The Arf-Brown TQFT of Pin^- Surfaces
Joint with Arun Debray
arXiv:1803.11183. Contemporary Mathematics 718 (2018).
- Spin Hurwitz numbers and topological quantum field theory
arXiv:1201.1273.Geometry & Topology 20-4 (2016), 1859--1907.
- The finiteness conjecture for skein modules
Joint with David Jordan and Pavel Safronov
- A Derived Decomposition for Equivariant D-modules
arXiv:1705.04297. (under review)
- Symmetries of categorical representations and the quantum Ngo action
Joint with David Ben-Zvi
Link to Arxiv papers
- Quantum Springer Theory
Joint with David Jordan and Monica Vazirani
- Generalized quantum Hamiltonian reduction and cuspidal
- Nilpotent cones and a stratification of the
moduli stack of semistable G-bundles on an
Joint with Dragos Fratila and Penghui Li
- Parabolic restriction on commuting stacks