Shenghao Sun

Interests: algebraic geometry, running, algebraic number theory, swimming, algebraic topology, travelling


email: shenghao [at] math

office: 1004 evans


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 current research interests are motivic zeta (and L) functions (i.e. L-functions of number fields, of algebraic varieties and 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 issue of independence of l of their Frobenius eigenvalues.


Writings
operad (my undergraduate thesis)
weil conjecture for elliptic curves (my course paper for a number theory course)


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

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 2007: gsi for Math 1B with Prof. Ratner.


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 (updated Sept 10), hw2 (updated Oct 3; has a brief intro to descent), hw3, hw4, hw5, hw6, hw8 (updated Oct 27), hw9, hw10, hw11, hw12,

remark: if you need hint for homework before turning it in, stop by or email me. Dec.6's office hour is my last one in fall 07.


Fall 2008: gsi for Math 1A with instructor Martin Olsson.


Spring 2009: gsi for Math 1A with instructor prof. Stankova.