Qingchao Yu

I am a Postdoc at Department of Mathematics, the University of Hong Kong. My postdoc mentor is Prof. Xuhua He. I graduated from Academy of Mathematics and System Science, Chinese Academy of Science, under the supervision of Prof. Nanhua Xi. I am broadly interested in algebraic group, representation theory, arithmetic geometry.

Email: qingchao_yu@outlook.com.

Experience

08/2023-08/2024 Postdoc, Department of Mathematics, The University of Hong Kong

09/2021-08/2023 Postdoc, Beijing International Center for Mathematical Research, Beijing University

04/2023-07/2023 Research Assistant, The Chinese University of Hong Kong

08/2019-08/2020 Research Assistant, The Chinese University of Hong Kong

Research

1. Dimension formula for the affine Deligne-Lusztig variety X(mu, b), with Xuhua He,

*Mathematische Annalen 379, 1747-1765(2021).*

2. Affine Deligne-Lusztig varieties with finite Coxeter parts, with Xuhua He and Sian Nie,

to appear in Algebra and Number Theory.

3. Machine learning assisted exploration for affine
Deligne-Lusztig varieties, with Bin Dong, Xuhua He, Pengfei Jin and Felix Schremmer,

Peking Mathematical Journal(2024).

4. On affine Weyl group elements of positive Coxeter type, with Felix Schremmer and Ryosuke Shimada,

ArXiv:2312.02630.

5. Zero dimensional affine Deligne-Lusztig varieties, with Xuhua He and Sian Nie,

*ArXiv:2402.15310.*

Invited Talks

1. The 2023 Annual International Congress of Chinese Mathematicians (ICCM2023) Shanghai, China, January 2024.

2. Representation And Number Theory Conference, The University of Hong Kong, December 2023.

3. 2023 Global Young Scholars' Forum, The Chinese University of Hong Kong (Shenzhen), December 2023.

4. Representation Theory and Number Theory Postdoc Workshop, The University of Hong Kong, September 2023.

5. Number theory and representation theory seminar, Institute for Advanced Study in Mathematics, Zhejiang University, September, 2023.

6. Westlake Math Colloquium, Westlake University, August, 2023

7. AI for Mathematics Forum, Beijing University, August, 2023

Teaching

Teaching assistant for undergraduate students, University of Chinese Academy of Sciences.