Shenghao Sun
email: shenghao [at] math
office: 1004 evans
Interests
algebraic geometry, running,
algebraic number theory, swimming, algebraic topology,
travelling
Research interests
My undergraduate advisor is Wong Shiu-chun (in Zhejiang
Univ., China), and my graduate advisor is Martin
Olsson.
syllbus for my qual. My CV and research
statement.
My current research interests are motivic L-functions
(i.e. L-functions of number fields, of
algebraic varieties or even algebraic stacks over finite
fields and number fields) and automorphic L-functions.
In particular, I'm interested in the analytic
continuation of Hasse-Weil zeta functions of certain
stacks over number fields, as well as the problem of
independence of l of the Frobenius eigenvalues for some
moduli varieties.
Writings
operad (my
undergraduate thesis)
weil conjecture for elliptic
curves (my course paper for
a number theory course)
L-series of Artin stacks over
finite fields (preliminary version)
Links
Zeros
of the Riemann zeta function
Some ideas on
how to write math, from Serre and Goss , which i found from
J. R. Stallings's
homepage.
Some papers
of Robert P. Langlands.
SGA
J.S. Milne's
math homepage
Luc
Illusie
Ken Ribet
Arthur Ogus
Aise
Johan de Jong
Benedict
H. Gross
Richard
Taylor
Mark
Kisin
Ching-Li Chai
Teaching
Fall 2009: GSI for Math 53 with instructor prof.
John Neu. The
course webpage is
here.
Previous teaching
Spring 2009: GSI for Math 1A with instructor prof.
Stankova.
Fall 2008: GSI for Math 1A with instructor Martin
Olsson.
Fall 2007: grader for 256A, with instructor Martin Olsson.
webpage for the course
Office hours: T 10-11, Th 2-3, in 1004 Evans.
hint for some homework problems (available after it's
turned in):
hw1,
hw2 (has
a brief introduction to descent),
hw3,
hw4,
hw5,
hw6,
hw8,
hw9,
hw10,
hw11,
hw12,
Spring 2007: GSI for Math 1B with Prof. Ratner.
Fall 2006: grader
for 256A, with instructor
Brian Osserman.
webpage for the course
Office hours: M 2-3, W F 11-12
rmk: really appreciate if you use latex for hw.
hint for chosen homework problems and remarks:
hw1,
hw2
(contains a brief introduction to category theory),
hw3,
hw4,
hw5,
hw6,
rmk1,
hw8
Spring 2006: GSI for math 53 with prof.
Zworski.
Fall 2005: GSI for math 1A with instructor prof.
Borcherds.
