Welcome to my homepage.
About me
I am now a Ph.D student at Tsinghua University, Yau Mathematical Sciences Center.
E-mail:
h-zhang21@mails.tsinghua.edu.cn
zhanghao1999math@gmail.com
Academic Experiences
- (2021.9-) Ph.D student, Yau Mathematical Sciences Center, Tsinghua University. Advisor: Zhengwei Liu
- (2017.9-2021.6) B.S., Department of Mathematics, Nanjing University
Research Interests
I am interested in vertex operator algebras and their applications in conformal field theory. Recently, I am working on the conformal block theory for C_2 cofinite vertex operator algebras with Bin Gui.
Publications
- (Joint with Bin Gui) Analytic Conformal Blocks of C_2-cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products,
arXiv:2305.10180
Preprint - (Joint with Bin Gui) Analytic Conformal Blocks of C_2-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-q-traces,
arXiv:2411.07707
Preprint
Talks and Travel
- March 20, 2025, I will give a talk at the Mathematical Physics seminar at Perimeter Institute, Ontario, Canada.
- January 13, 2025, I gave a talk Conformal blocks and coends at the workshop Quantum groups, tensor categories and quantum field theory at University of Oslo, Oslo, Norway.
- November 1, 2024, I gave a talk The sewing-factorization theorem and pseudotraces for C_2-cofinite VOAs at Algebra and Logic Seminar at University of Denver, Colorado, USA.
- June 24, 2024, I gave a talk Conformal blocks and a Verlinde formula for self-dual C_2-cofinite non-rational vertex operator algebras at the workshop `Vertex Algebras, Tensor Category and Related Topics’ at Shanghai Jiao Tong University, Shanghai, China.
- April 19, 2024, I gave a talk Logarithmic conformal field theory:sewing and factorization at the workshop `Lie Group/Quantum Mathematics Seminar’ at Rutgers University, New Jersey, USA.
- January 17, 2024, I gave a talk `Conformal blocks of C_2 cofinite vertex operator algebras’ at Tsinghua Sanya International Mathematics Forum, Hainan, China.
- April 14, 2023, I gave a talk Conformal blocks of C_2-cofinite vertex operator algebras at Tsinghua University, Beijing, China.
Teaching Experiences
- (2024 Spring) Teaching assistant for Calculus
- (2023 Fall) Teaching assistant for Calculus
- (2023 Spring) Teaching assistant for Calculus
- (2022 Fall) Teaching assistant for Linear Algebra
- (2022 Spring) Teaching assistant for Calculus
- (2021 Fall) Teaching assistant for Linear Algebra