## Sam Gunningham

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.

**Mailing address**:

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`

**Papers**:

Published/Accepted:

*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.

Preprints:
*The finiteness conjecture for skein modules*

Joint with David Jordan and Pavel Safronov

arXiv:1908.05233.
*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

arXiv:1712.01963.

In preparation:
*Quantum Springer Theory*

Joint with David Jordan and Monica Vazirani
*Generalized quantum Hamiltonian reduction and cuspidal
D-modules*
*Nilpotent cones and a stratification of the
moduli stack of semistable G-bundles on an
elliptic curve*

Joint with Dragos Fratila and Penghui Li
*Parabolic restriction on commuting stacks*

Link to Arxiv papers