# 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.
1710.08453
[+]

From S

^{1}-fixed points to W-algebra representations. 1710.06142 [+]
Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters.
1701.08782
[+]

Opers versus nonabelian Hodge.
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

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

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
[+]