Qixian Zhao

赵启弦

About Me

I am an assistant professor at Yau Mathematical Sciences Center, Tsinghua University.
Here is my CV.

Education

Doctor of Philosophy (Mathematics), University of Utah, 2023. Advisor: Dragan Miličić.
Master of Art (Mathematics), University of Wisconsin-Madison, 2018.
Bachelor of Science (Mathematics and Applied Mathematics), Sun Yat-sen University, 2017.

Contact Info

zhao_qixian@tsinghua.edu.cn
Yau Mathematical Sciences Center
Shuangqing Complex Building A502
Haidian District, Beijing, China

Research

I am interested in geometric representation theory. More specifically, I think about representations of real and p-adic groups, semisimple and affine Lie algebras, vertex algebras, and related geometry.

Papers/preprints

Associated varieties of simple affine vertex algebras at rational levels (w/ Peng Shan, Wenbin Yan), Sci China Math (2026). DOI
Relating Arthur packets of real unitary groups and p-adic symplectic and orthogonal groups (w/ Taiwang Deng, Chang Huang, Bin Xu), preprint. arXiv
Cyclotomic level maps and associated varieties of simple affine vertex algebras (w/ Peng Shan, Wenbin Yan), preprint. arXiv
On a geometric comparison of representations of complex and p-adic GLn (w/ Taiwang Deng, Chang Huang, Bin Xu), preprint. arXiv
Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters. Algebr Represent Theor (2023). DOI arXiv
Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters, Ph.D. Thesis. PDF

Talks & Seminars

Below is a list of some of the talks I gave. The titles below refer to the research being presented, which may be different from the titles of the actual talks. Notes or slides for the talks, if available, are hyperlinked to the dates (beware of mistakes and typos!).

Affine Springer fibers and affine vertex algebras,
September 2025, YMSC Postdoc Workshop V, Tsinghua University
June 2025, Representation Theory XIX, Dubrovnik
June 2025 , International Conference on Representation Theory 9, Nanjing
December 2024, AMSS, Chinese Academy of Science
A geometric comparison of representations of real and p-adic classical groups,
June 2025 , Representation Theory XIX, Dubrovnik
May 2025, BIMSA-YMSC Tsinghua Number Theory Seminar, Tsinghua University
September 2024, YMSC Postdoc Workshop IV, Tsinghua University
Non-integral Kazhdan-Lusztig algorithm and an application to Whittaker modules,
November 2023, YMSC, Tsinghua University
October 2023 , YMSC Postdoc Workshop I, Tsinghua University
July 2023, Soochow University
June 2023, Representation Theory XVIII, Dubrovnik

Qixian Zhao

Qixian Zhao

赵启弦

About Me

Education

Contact Info

Research

Papers/preprints

Talks & Seminars

Miscellany

Photo

Notes

LaTeX Stuff