Education Experiences:
2011 —2017
Ph. D Department of Mathematics, University of Wisconsin-Madison, USA
Thesis Topic: CM Values, Faltings Heights of CM Cycles on Orthogonal Shimura Varieties and Applications to Siegel 3-folds
Advisor: Tonghai Yang
2013 — 2014
Exchange Program, Department of Mathematics, Bonn University, Germany
2007 — 2011
B.S. Department of Mathematical Sciences, Tsinghua University, Beijing, China
Thesis Topic: Dynkin Diagrams, Representation Theory and McKay Correspondence
Advisor: Jie Xiao
Working Experiences:
2 020-present
Lecturer, School of Mathematics, Renmin University of China, Beijing, China
2017 —2020
Postdoc, Morningside Center of Mathematics, AMSS, CAS, Beijing, China
Advisor: Ye Tian
Research Areas:
My fields of interests are Shimura varieties and modular forms. I’m currently working on Kudla program related questions, including special values of automorphic Green functions on CM cycles of Shimura varieties of orthogonal or unitary type and a proof of a generalized Gross-Zagier formula that relates Faltings heights of CM cycles with the central derivative of a Rankin-Selberg convolution L-function as well as intersection theory of arithmetic divisors and CM cycles. I am also interested in traces of singular moduli and a generalization of Gross-Zagier factorization formula on difference of CM values.
Courses:
2020 Fall |
Advanced Algebra Problem Session |
2021 Spring |
Advanced Algebra Problem Session |
2021 Fall |
Abstract Algebra |
2022 Spring |
Elementary Number Theory |
2022 Spring |
Representation Theory |
2022 Fall |
Abstract Algebra |
2022 Fall |
Commutative Algebra |
2023 Spring |
Quaternion Algebra |
2023 Fall |
Representation Theory |
2023 Fall |
Algebraic Geometry |
2024 Spring |
Homological Algebra |
Papers:
[1] P. Yu, CM Values of Green Functions Associated to Special Cycles on Shimura Varieties with Applications to Siegel 3-fold X_2(2), J. Number Theory, 203(10): 155-210, 2019
[2] T. Yang, H. Yin, and P. Yu, The Lambda Invariants at CM Points, Int. Math. Res. Not., 2021(7): 5542-5603, 2021
[3] T. Yang, D. Ye, and P. Yu, CM values of special functions, SCIENTIA SINICA Mathematica, 2024
Services & Awards:
• Chancellor’s Opportunity Award, University of Wisconsin-Madison, 2012
• Excellent Graduates Award, Tsinghua University, Beijing, 2011
• Tsinghua Comprehensive Excellent Scholarship (EMC sponsored), Tsinghua University, Beijing, 2010
• Tsinghua Comprehensive Excellent Scholarship (Samsung sponsored), Tsinghua University, Beijing, 2009
• Silver Medal in Chinese Mathematical Olympiad, Wenzhou, 2007
• First Prize in National Olympiad in Informatics, Shandong, 2005
