Long Term Research
- Geometric Partial
- The Calculus of Variations, especially scale invariant problems (past
- Gauge Theory (now mostly for wave and
- Integrable Systems
- Virasoro actions
- Non-linear waves and non-linear Schroedinger Equations,
I am a member of the geometry
group in the
department. The geometry group maintains a website with general and
current information (click
here). We have three weekly seminars. Gadget is
an informal seminar which meets for lunch Tuesday from 12:30 to
Students are particularly urges to attend this seminar. There is
also a joint seminar with the high energy physics group Wednesday at
and a formal research seminar on Thursdays from 3:30-5:00.
urged to attend both the Gadget seminar and the first hour of the
seminar. The formal seminar is split into two parts, and speakers
are really expected to give an expository talk during the first
Only specialists usually stay for the second half.
I received the
in Washington, December 1, 2000.(Here
are some photos)
at the ceremony . You will see Efraim Armendariz, Ingrid Daubechies,
Palais, Jean Taylor, Chuu-Lian Terng , Bob Williams and S.T. Yau, who
came to the ceremony.
gave the Ritt lectures at Columbia in April 2002. Here is an (abstract).
Here is an abstract
for my talk at the Yamabe Symposium in September 2004.
My recent research has been mainly on two subjects, with
two groups of coauthors. I have written four
of with Chuu-Lian Terng on the geometric aspects of
systems. With Andrea Nahmod and Atanas Stefanov I authored
two papers on wave maps and Schoedinger maps. These are all posted on
preprint server (in geometry or anaylsis).