Tom Coates
		Benjamin Peirce Assistant Professor of Mathematics
		Harvard University
		Office:		230 Science Center
		Email:		tomc@math.harvard.edu
		Phone:		617 495 5340
		Mailing address:		Department of Mathematics One Oxford Street Cambridge, MA 02138 U.S.A.

Research

I study the geometry and topology of symplectic manifolds and algebraic varieties, using ideas which come from mathematical physics (especially string theory).
More precisely, I spend most of my time thinking about Gromov–Witten invariants and mirror symmetry. 

Publications

• Quantum Riemann–Roch, Lefschetz and Serre, with Alexander Givental.
  math.AG/0110142, submitted.
• Riemann–Roch theorems in Gromov–Witten theory.
  This is my Ph.D. thesis. My thesis advisor was Alexander Givental. A PDF file is here. 
• Quantum cobordisms and formal group laws, with Alexander Givental.
  To appear in the proceedings of Gelfand's 90th birthday conference.

Talks

Slides from some of my talks can be found below.

• Gromov–Witten Invariants, Basic Notions seminar, Harvard University, 26 April 2004.
• Quantum extraordinary cohomology, Geometry and Topology of String Theory conference, Northwestern University, 24 May 2004.
• Lectures on Givental's structure theory for higher-genus Gromov--Witten invariants of semisimple Frobenius manifolds, MSRI, 24--28 April 2006:
  Lecture 1 (Teleman), Lecture 2 (me)

Curriculum Vitae

My CV is here.

Teaching

This semester I will be teaching Math 25b.  My office hours are Monday 2–3pm and Friday 1–2pm.
In the Fall semester of 2003 I taught Math 21a, and in the Spring semester of 2004 I taught Math 121.

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