Shenghao Sun
Room 145,
Jin Chun Yuan West Wing,
Yau Mathematical Sciences Center (abbreviated YMSC below),
Tsinghua University, Beijing 100084,
P. R. China
Email: shsun@math.tsinghua.edu.cn
Education History
Ph.D., Department of Mathematics, University of California at Berkeley, CA 94720,
2005 – 2010
Advisor: Martin Olsson
B.S. in Mathematics, Zhu Kezhen Science Class, Zhejiang University, Hangzhou, China,
2001 – 2005.
Advisor: Shiuchun Wong
Employment History
Aug. 2013 – now, YMSC in Tsinghua Univ., tenure track Associate Professorship;
Sep. 2011 – Jul. 2013, MSC in Tsinghua Univ., Assistance Professorship;
Sep. 2010 – Aug. 2011, Ecole polytechnique and Univ. Paris-Sud, postdoc, with mentor
Yves Laszlo.
Publications
• L-Series of Artin Stacks over finite fields, Algebra and Number Theory, Vol. 6, No.
1 (2012), 47-122.
• Decomposition Theorem for Perverse sheaves on Artin stacks over finite fields, Duke
Math. J., Vol. 161, No. 12 (2012), 2297-2310.
• Logarithmic Geometry and Moduli, with Dan Abramovich, Qile Chen, Danny Gillam,
Yuhao Huang, Martin Olsson, Matthew Satriano, in Handbook of Moduli, Farkas and Morrison, eds.
Preprints
• Generic Base Change, Artin’s Comparison Theorem, and the Decomposition Theorem for Complex Artin stacks, revised version submitted.
• Parity and symmetry in intersection and ordinary cohomology, with Weizhe Zheng,
revised version submitted.
• Independence of ` for the supports in the Decomposition Theorem, first version submitted.
Lectures and Presentations outside Tsinghua Univ. (since Sep. 2011)
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Decomposition theorem for stacks, Conference on principal G-bundles, ICMAT, Madrid,
12-16 September 2011.
An application of Deligne’s conjecture on compatible systems, Number theory seminar,
Capital Normal University, Beijing, Nov. 16, 2012
Parity of Betti numbers in étale cohomology, Arithmetic geometry seminar, Morningside
Center of Mathematics, Beijing, Dec. 21, 2012
Weil conjectures for algebraic stacks, Chinese - Norwegian Mathematics Workshop, NTNU Trondheim Norway, June 28, 2013
Independence of ` for the supports in the Decomposition Theorem, the 6th ICCM, Chinese Taipei, July 2013
Independence of ` for the Decomposition theorem of perverse sheaves, the 4th East Asia
Number Theory Conference, Fukuoka, Japan, Jan. 2014
Parity of Betti numbers in étale cohomology, Beijing-Tokyo-Paris Seminar of Arithmetic
geometry, Morningside Center of Mathematics, Beijing, May 2014
Weil conjectures and the decomposition theorem for algebraic stacks, Chinese Mathematical Society 2014 Annual Conference, He’nan Normal University, China, Sep. 2014
Symmetry of perverse sheaves, International Conference on Arithmetic Algebraic Geometry, in honor of Prof. Nicholas Katz’s 71st birthday, Morningside Center of Mathematics
and Chinese Academy of Sciences, Beijing, May 2015
Supports of perverse sheaves in the Decomposition theorem, seminar talk in Shanghai
Center for Mathematical Sciences, Fudan Univ., Aug. 2015
Symmetries of perverse sheaves, seminar talk in Shanghai Center for Mathematical
Sciences, Fudan Univ., Aug. 2015
Research Grants
National Natural Science Foundation of China (11531007), Jan. 2016 – Dec. 2020, Major
participant.
Professional Services
Reviewer for Zentralblatt MATH, Mathematical Reviews, International Mathematics
Research Notices.
Referee for manuscripta mathematica, etc.
Co-organizer of the Summer Workshop in Algebraic Geometry, with Weizhe Zheng and
Yichao Tian, in Tsinghua Univ., in summer 2013.
Co-organizer of the Workshop on Number Theory and Mathematical Physics, with
Wenxuan Lu, in Tsinghua Univ., in summer 2014.
Undergraduate students mentorship:
Jia HE, thesis: Galois correspondences, and ruler-compass constructions.
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Cheng SHU, thesis: Hilbert schemes.
Fangzhou NI, thesis: On hyper-derived functors.
Zhan JIANG, thesis: Weyl character formula for semisimple Lie algebras.
Rui CHEN, thesis: Representations of finite groups.
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