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.
• Relative Gromov-Witten Invariants (with T.H. Parker), Annals of Math., Volume 157 (2003), 1-52.
• Topological Recursive Relations in $H^{2g}(M_{g,n})$, Inventiones Math., Volume 148 (2002), 627-658.
  
  

Preprints

• A Klein TQFT: the local Real Gromov-Witten theory of curves (with Penka Georgieva), arXiv:1812.02505.
  
• Relating VFCs on thin compactifications (with Thomas H. Parker), arXiv:1807.10326.
  
• Thin compactifications and relative fundamental classes (with Thomas H. Parker), to appear in JSG, arXiv:1512.07894.
  
• A natural Gromov-Witten virtual fundamental class (with Thomas H. Parker), preprint, arXiv:1302.3472.

Other links

• Beatrice Yormark Distinguished Lecture Series, Department of Mathematics, Stanford.
• Andreas Floer Memorial Lectures, alternate between Stanford and Berkeley.
• Symplectic Geometry Seminar; previous schedules: 2014-2015, 2013-2014, 2012-2013, 2011-2012, 2010-2011, 2009-2010, 2008-2009, 2007-2008.
• Other Seminars at Stanford.
• Enumerative Geometry Beyond Numbers program, MSRI, Berkeley, Jan 16-May 25, 2018.
• Symplectic and Contact Geometry and Topology program, MSRI, 2009-2010.
• 2012 Program for Women and Mathematics, IAS, May 14-25, 2012.
• Moduli spaces of curves and maps, FRG conference, Stanford, February 14-15, 2015.