Chris Elliott
A valuable collaboration

Chris Elliott

Department of Mathematics and Statistics
University of Massachusetts, Amherst
Lederle Graduate Research Tower
MA 01002

Office: LGRT 1124
E-mail: celliott AT math DOT umass DOT edu

A pdf copy of my CV is available here.

I am a visiting assistant professor in mathematics at the University of Massachusetts, Amherst. I'm interested in mathematical constructions in classical and quantum field theories using derived algebraic geometry. For example, I think about:

A more detailed description of some of my interests can be found in my research statement (current as of December 2020). I also have a non-technical description of my research.


Papers and Preprints

  1. Higher Deformation Quantization for Kapustin-Witten Theories (joint with Owen Gwilliam and Brian Williams),
  2. Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory (joint with Philsang Yoo),
  3. Spontaneous Symmetry Breaking: a view from derived geometry (joint with Owen Gwilliam), Journal of Geometry and Physics, Vol 162, 2021,
  4. Holomorphic Poisson Field Theories (joint with Brian Williams), accepted for publication in Higher Structures,
  5. A Taxonomy of Twists of Supersymmetric Yang-Mills Theory (joint with Pavel Safronov and Brian Williams),
  6. Multiplicative Hitchin Systems and Supersymmetric Gauge Theory (joint with Vasily Pestun), Selecta Mathematica, Vol 25, Issue 64, 2019,
  7. Topological Twists of Supersymmetric Algebras of Observables (joint with Pavel Safronov), Communications in Mathematical Physics, Vol 371, pages 727-786, 2019,
  8. A Physical Origin for Singular Support Conditions in Geometric Langlands (joint with Philsang Yoo), Communications in Mathematical Physics, Vol 368, Issue 3, Pages 985-1050, 2019,
  9. Asymptotic Freedom in the BV Formalism (joint with Brian Williams and Philsang Yoo), Journal of Geometry and Physics, Vol 123, January 2018, Pages 246-283,
  10. Geometric Langlands Twists of N=4 Gauge Theory from Derived Algebraic Geometry (joint with Philsang Yoo), Advances in Theoretical and Mathematical Physics, Vol 22, Number 3, Pages 615-708, 2018,
  11. Abelian Duality for Generalised Maxwell Theories, Mathematical Physics, Analysis and Geometry, Vol 22, Issue 22, 2019, (poster).

You can also read my thesis, which is a combination of the last two papers above, with an expository introduction and some remarks on future work.

Conferences and Workshops


Notes I've Written

My notes from the 2012 Notre Dame Graduate Summer School on Topology and Field Theories.
Last modified Tuesday December 9th, 2020.

UMass Mathematics home page.