Research

Papers

Exponential decay for the asymptotic geometry of the Hitchin metric. 1810.01554 [+]
Generic Ends of the Moduli Space of SL(n, ℂ)-Higgs bundles. 1810.01556 [+]
Perspectives on the asymptotic geometry of the Hitchin moduli space. 1809.05735 [+]
Singular geometry and Higgs bundles in string theory. With Lara B. Anderson, Mboyo Esole, and Laura P. Schaposnik. 1710.08453 [+]
From S1-fixed points to W-algebra representations. With Andy Neitzke. 1710.06142 [+]
Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters. With Du Pei, Wenbin Yan, Ke Ye. 1701.08782 [+]
Opers versus nonabelian Hodge. With Olivia Dumitrescu, Georgios Kydonakis, Rafe Mazzeo, Motohico Mulase, Andy Neitzke. 1607.02172 [+]

Events Organized

MSRI: Connections for Women: Holomorphic Differentials in Mathematics and Physics, August 15-16, 2018 Website
AIM: Singular geometry and Higgs bundles in string theory, October 30 to November 3, 2017 Website [+]

Talks

Duke, October 2018

(Mini-Course) Hamburg: Higgs Bundles in Mathematics and Physics, September 2018 Poster [+]
The asymptotic geometry of the Hitchin moduli space. CMO, Oaxaca, July 2018. Video [+]
The ends of the Hitchin moduli space. CIRM, Luminy, June 2018. Video [+]
UC Santa Cruz, January 2018

UC Davis, January 2018

(Mini-Course) UIC: Workshop on the geometry and physics of Higgs bundles II, November 2017 Poster [+]
BIRS: The Analysis of Gauge-Theoretic Moduli Spaces, September 2017

MCA: Geometry and Physics of Higgs Bundles, July 2017 Slides [+]
University College London: The Sen Conjecture and Beyond, June 2017

GEAR Workshop on compactifications of moduli spaces of representations, June 2017 Notes

Hitchin 70 (Aarhus): Differential Geoemetry and Quantization, September 2016

AMS von Neumann Symposium: Topological Recursion and Its Influence in Analysis, Geometry, and Topology, July 2016

Simons Center: Current trends on spectral data for Higgs bundles II & New perspectives on Higgs bundles, branes, and quantization, June 2016.

University of California, Davis, May 2016.
Caltech: Surface group representations, March 2016.

Heidelberg: Higgs Bundles in Geometry and Physics, March 2016.

Stanford University, December 2015.

Brown University, November 2015.

University of Illinois at Urbana-Champaign, November 2015.

University of Illinois at Chicago, November 2015.

(Mini-Course) Fields Institute, November 2015. [+]
American Institute of Mathematics, San Jose, September 2015. [+]
Rice University, September 2015.
A construction of limiting solutions of Hitchin's equations. Isaac Newton Institute, August 2015. Video [+]
Survey of Taubes' "PSL(2,C)-connections on 3-manifolds with L2 bounds on curvature" January 2015. Notes [+]

Notes

Notes from Sergei Gukov's talk "Quantization via Mirror Symmetry" Notes [+]
Notes from Karen Uhlenbeck's lecture series "Equations of Gauge Theory" Notes [+]