http://www.math.lsa.umich.edu/~mbonk/

Department of Mathematics
University of Michigan
Ann Arbor, MI 48109, USA

E-Mail: mbonk at umich.edu
Office:  2842 East Hall
Office Phone: (734) 764-6897
Fax: (734) 996-2916

www.cims.nyu.edu/~naor

Courant Institute of Mathematical Sciences
New York University
Departments of mathematics and computer science

Research Interests.

• Analysis.
• Probability.
• Quantitative geometry.
• Applications of the above to combinatorics, mathematical physics and theoretical computer science.

http://pirate.shu.edu/~wachsmut/

He has taught classes in Calculus, Statistics, Real Analysis, Complex Analysis, Programming, Computer Networks, C and Unix, and Robotics, and - still - enjoys teaching and interacting with students tremendously.

一个喜欢数学又喜欢计算机的家伙,hehe

http://www.mscs.dal.ca/~selinger/

I am a Professor of Mathematics at Dalhousie University.

I enjoy doing research in the areas of mathematical logic, category theory, and their applications to theoretical computer science. I also enjoy teaching. Most recently, I taught Math/CSCI 4116, Cryptography, and Math 4680/5680, Introduction to Mathematical Logic.

http://math.sjtu.edu.cn/faculty/ycli/

研究兴趣(Research Interests)

非线性偏微分方程及相关应用
Nonlinear Partial Differential Equations and Related Applications

http://math.berkeley.edu/~teleman/

http://www.its.caltech.edu/~graber/

http://www.math.toronto.edu/askold/

http://www.math.toronto.edu/~jeffrey/

Research Interests

My current research uses techniques from pure mathematics (notably symplectic geometry, the natural mathematical framework for classical mechanics) to prove results obtained by theoretical physicists using the methods of quantum field theory. In my doctoral thesis (under the supervision of Michael Atiyah) I provided a mathematically rigorous proof of results on the asymptotics of the three-manifold invariants of Witten and Reshetikhin-Turaev which Witten had conjectured based on his approach to these invariants using quantum field theory.

In recent joint work with Frances Kirwan I have proved formulas of Witten which encode the structure of the cohomology ring of the moduli space of holomorphic vector bundles on a Riemann surface: the main technique used is a method from symplectic geometry and equivariant cohomology known as nonabelian localization, which Kirwan and I developed in our initial paper. Later developments are joint work with Young-Hoon Kiem, Frances Kirwan and Jonathan Woolf.

In joint work with Jonathan Weitsman I have studied these moduli spaces using techniques from symplectic geometry (the theory of Hamiltonian group actions): these methods endow the moduli spaces with Hamiltonian flows, in some cases leading to a structure of integrable system on them, and yielding a very transparent description of the formulas for their symplectic volumes.

In joint work with Megumi Harada, Tara Holm and Augustin-Liviu Mare, we have shown that the level sets of the moment map for the natural torus action on the based loop group are connected.

In joint work with Jacques Hurtubise and Reyer Sjamaar (following an earlier paper joint with Victor Guillemin and Reyer Sjamaar) we study imploded cross-sections. This is a refinement of the symplectic cross section.

http://count.ucsc.edu/~rmont/