## Tsao-Hsien Chen

Assistant Professor

University of Minnesota, Twin Cities

206 Church St. S.E., Minneapolis, 451 Vincent Hall

Email: chenth@umn.edu

### Research Interests

I am interested in geometric representation theory.

### Preprints

Real and symmetric matrices (with David Nadler).

Kostant-Sekiguchi homeomorphisms (with David Nadler).

Affine Matsuki correspondence for sheaves (with David Nadler).

On the Hitchin fibration for algebraic surfaces (with Ngo Bao Chau).

Hitchin map and opers in characteristic p (with Roman Bezrukavnikov, Roman Travkin, and Xinwen Zhu), an Appendix to Quantization of Hitchin integrable system via positive characteristic by Roman Bezrukavnikov and Roman Travkin.

Non-linear Fourier transforms and the Braverman-Kazhdan conjecture

Twisted global section functor for D-modules on affine Grassmannian (with Giorgia Fortuna).

### Publications

Invariant theory for the commuting scheme of symplectic Lie algebras (with Ngo Bao Chau), Proceedings of the TIFR conference on Arithmetic Geometry, to appear.

A vanishing conjecture: the GL_n-case, Selecta Math. 28

**,**13 (2022). doi.org/10.1007/s00029-021-00726-2On a conjecture of Braverman-Kazhdan, J. Amer. Math. Soc., to appear. doi.org/10.1090/jams/992

On the Hitchin morphism for higher dimensional varieties (with Ngo Bao Chau), Duke Math. J. Volume 169 (2020), 1971-2004.

On the Casselman-Jacquet functor (with Dennis Gaitsgory and Alexander Yom Din), Representations of Reductive Groups, Proc. Sympos. Pure Math. 101 (2019), 73-112 (volume in honor of J.Bernstein).

Survey on geometric Langlands and non-abelian Hodge theory in characteristic p (Expository), Proceedings of ICCM in Beijing 2016.

Springer correspondence for the split symmetric pair in type A (with Kari Vilonen and Ting Xue), Compositio Math, Volume 154, Issue 11, 2403-2425.

On the cohomology of Fano varieties and Springer correspondence (with Kari Vilonen and Ting Xue), with an Appendix by Dennis Stanton, Advances in Math 318 (2017), 515-533.

Hessenberg varieties, intersection of quadrics, and Springer correspondence (with Kari Vilonen and Ting Xue), Trans. Amer. Math. Soc. 373 (2020), 2427-2461.

Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties (with Kari Vilonen and Ting Xue), Mathematical Research Letters, Vol. 27, No. 5 (2020), pp. 1281-1323.

A formula for the geometric Jacquet functor and its character sheaf analogue (with Alexander Yom Din), Geometric and Functional Analysis, Volume 27 (2017), no. 4, 772-797.

Preservation of depth in local geometric Langlands correspondence (with Masoud Kamgarpour), Trans. Amer. Math. Soc. 369 (2017), no. 2, 1345-1364.

Non-abelain Hodge theory for algebraic curves in characteristic p (with Xinwen Zhu), Geometric and Functional Analysis, Volume 25 (2015), pp 1706-1733.

Geometric Langlands in prime characteristic (with Xinwen Zhu), Compositio Math, Volume 153, Issue 2 February 2017, pp. 395-452.

Vinberg's Î¸-Groups and rigid connections, IMRN, Volume 2017, Issue 23, pp. 7321-7343.

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