Symplectic topology and geometry, in particular holomorphic
curves and moduli spaces of curves;
Gromov-Witten invariants, enumerative invariants and other gauge
theoretical invariants.
Education
Ph. D., Mathematics, Michigan State University, 1996.
B.S., Mathematics, University "Al. I. Cuza", Iasi, Romania, 1991.
Appointments
2016-present, Department Chair, Mathematics Department, Stanford University.
2006-present, Professor of Mathematics, Stanford University.
Spring 2018, Member, Mathematical Sciences Research Institute.
Fall 2009, Member, Mathematical Sciences Research Institute.
2004-2006, Associate Professor, Stanford University.
2004-2006, Professor, University of Wisconsin-Madison.
2002-2004, Associate Professor, University of Wisconsin-Madison.
Fall 2001, Member, Institute of Advanced Studies, Princeton.
1998-2002, Assistant Professor, University of Wisconsin-Madison.
1996-1999, CLE Moore Instructor, Massachusetts Institute of Technology.
Fall 1996, Postdoctoral Fellow, Mathematical Sciences Research Institute.
1991-1996, Teaching Assistant, Michigan State University.
1990-1991, Teaching Assistant, University "Al. I. Cuza", Iasi, Romania.
Notable Awards/Honors
Simons Fellow (2015-2016).
Invited speaker, Topology Section, International Congress of Mathematicians (Beijing, 2002).
Plenary speaker, AMS National Meeting (Atlanta, 2005).
Plenary speaker, AMS Sectional Meeting (Madison, 2002).
Alfred P. Sloan Research Fellow (2000-2004).
Significant publications
The Gopakumar-Vafa formula for symplectic manifolds (with T.H. Parker), Annals of Math 187 (2018), 1-64; preprint version: arXiv:1306.1516.
GW invariants relative to normal crossing divisors, Advances in Math. 281 (2015), 40-141; preprint version: arXiv:1103.3977.
The symplectic sum formula for Gromov-Witten invariants (with T.H. Parker), Annals of Math., Volume 159 (2004), 935-1025;
Corrigendum, submitted, June 2015.