Shenghao Sun

a picture

email: shsun [at] math dot tsinghua dot edu dot cn





Research Interests

algebraic geometry and number theory, more specifically, etale cohomology, perverse sheaves, compatible systems, L-functions.


My CV.


Writings

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, coauthored with Dan Abramovich, Qile Chen, Danny Gillam, Yuhao Huang, Martin Olsson, Matthew Satriano, in Handbook of Moduli, Farkas and Morrison, eds.

Generic Base Change, Artin's Comparison Theorem, and the Decomposition Theorem for Complex Artin stacks, accepted by J. of Algebraic Geometry, available at arXiv:1511.01393.

Parity and symmetry in intersection and ordinary cohomology, with Weizhe Zheng, ANT, Vol. 10, No. 2 (2016), 235-307.

Independence of l for the supports in the Decomposition Theorem, submitted, available at arXiv:1512.01447.


Teaching and Seminars.


Some Notes of Courses


Commutative algebra and Homological algebra, Linear algebraic groups.


Links


Zeros of the Riemann zeta function
Some of Grothendieck's work
Some papers of Robert P. Langlands.
SGA
J.S. Milne's math homepage
Luc Illusie
Ken Ribet
Arthur Ogus
Martin Olsson (my thesis advisor)
Aise Johan de Jong
Benedict H. Gross
Richard Taylor
Mark Kisin
Ching-Li Chai
Brian Conrad
Yves Laszlo