Note: Some of the .pdf files below may be difficult to read on the screen, but they still should print out fine. For short summaries of all papers and a diagram of connections between the papers, please see the .pdf version of Publication and Preprints.

• Double and triple Givental's J-functions for stable quotients invariants
  math/1305.2142, 60 pages, 9 figures, 1 table
• The determinant line bundle for Fredholm operators: construction, properties, and classification
  math/1304.6368, 53 pages
• Orientability in real Gromov-Witten theory
  joint with A. Georgieva, math/1301.1074, 34 pages
• Appendix to Counting genus zero real curves in symplectic manifolds
  joint with M. Farajzadeh Tehrani, math/1205.1809, 14 pages, 1 figure
• Mirror symmetry for stable quotients invariants
  joint with Y. Cooper, math/1201.6350, 44 pages, 6 figures, 1 table
• The genus 0 Gromov-Witten invariants of projective complete intersections
  math/1106.1633, 62 pages, 3 fugures, 4 tables
• On transverse triangulations
  math/1012.3979, Münster J. Math. 5 (2012), 99-106
• Mirror formulas for closed, open, and unoriented Gromov-Witten invariants
  joint with A. Popa, math/1010.1946, 55 pages, 2 figures, 5 tables
• A comparison theorem for Gromov-Witten invariants in the symplectic category
  math/0807.0805, Adv. Math. 228 (2011), no. 1, 535--574
• Enumerative geometry of Calabi-Yau 5-folds
  joint with R. Pandharipande, math/0802.1640, 6 figures, 3 tables, New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry, ASPM 59 (2010), 239-288
  Appendix (self-contained), 6 pages
• Some properties of hypergeometric series associated with mirror symmetry
  joint with D. Zagier, math/0710.0889, Modular Forms and String Duality, Fields Inst. Commun. 54 (2008), 163-177
• Standard vs. reduced genus-one Gromov-Witten invariants
  math/0706.0715, Geom. Top. 12 (2008), no. 2, 1203-1241
• Genus-zero two-point hyperplane integrals in the Gromov-Witten theory
  math/0705.2725, 4 figures, Comm. Analysis Geom. 17 (2010), no. 5, 1-45
• The reduced genus-one Gromov-Witten invariants of Calabi-Yau hypersurfaces
  math/0705.2397, 5 figures, JAMS 22 (2009), no. 3, 691-737
• Pseudocycles and integral homology
  math.AT/0605535, 2 figures, Trans. AMS 360 (2008), no. 5, 2741-2765
  Older, more technical/direct version: math.AT/0605535v1, 37 pages, 3 figures
• Intersections of tautological classes on blowups of moduli spaces of genus-one curves
  math.AG/0603357, 5 figures, Mich. Math. 55 (2007), no 3, 535-560
• A desingularization of the main component of the moduli space of genus-one stable maps into Pⁿ
  joint with R. Vakil, math.AG/0603353, 13 figures, Geom. Top. 12 (2008), 1-95
  Overview (independent): 2 figures, ERA AMS 13 (2007), 53-59
  Extended Abstract (for Ravi's Oberwolfach talk): Oberwolfach Report 27/2006, 1643-1645
• On the genus-one Gromov-Witten invariants of a quintic threefold
  joint with J. Li, math.AG/0406105, 5 figures, Pacific J. Math 233 (2007), no. 2, 417-480
• On the genus-one Gromov-Witten invariants of complete intersections
  joint with J. Li, math.AG/0507104, 4 figures, 1 table, JDG 82 (2009), no. 3, 641-690
• Reduced genus-one Gromov-Witten invariants
  math.SG/0507103, 5 figures, JDG 83 (2009), no. 2, 407-460
• On the structure of certain natural cones over moduli spaces of genus-one holomorphic maps
  math.SG/0406104, 3 figures, Adv. Math. 214 (2007), no. 2, 878–933
• A sharp compactness theorem for genus-one pseudo-holomorphic maps
  math.SG/0406103, 7 figures, Geom. Top. 13 (2009), no. 5, 2427-2522
• Counting rational curves of arbitrary shape in projective spaces
  math.AG/0210146, 15 figures, 5 tables, Geom. Top. 9 (2005), 571-697
• Enumeration of one-nodal rational curves in projective spaces
  math.AG/0204236, 9 figures, 1 table, Topology 43 (2004), no. 4, 793-829
• Enumeration of genus-three plane curves with a fixed complex structure
  math.SG/0203058, 3 tables, J. Algebraic Geom. 14 (2005), no. 1, 35-81
• Enumeration of genus-two curves with a fixed complex structure in P² and P³
  math.SG/0201254, 2 figures, 3 tables, J. Diff. Geom. 65 (2003), no. 3, 341-467
• Enumerative vs. symplectic invariants and obstruction bundles
  math.SG/0201255, J. Symplectic Geom. 2 (2004), no. 4, 445--543
• Completion of Katz-Qin-Ruan's enumeration of genus-two plane curves
  math.AG/0201216, 3 figures, 1 table, J. Algebraic Geom. 13 (2004), no. 3, 547-561
• The exponential decay rate of the lower bound for the first eigenvalue of compact manifolds
  joint with M. Kalka, E. Mann, and D. Yang, 1 figure, Internat. J. Math. 8 (1997), no. 3, 345--355

• Enumerative algebraic geometry via techniques of symplectic topology and analysis of local obstructions
  Ph.D. Thesis, MIT 2002, 240 pages, 8 tables
• Basic Riemannian geometry and Sobolev estimates used in symplectic topology
  math/1012.3980, expository notes, 33 pages, 3 figures
• Counting plane rational curves: old and new approaches
  math.AG/0507105, expository notes, 32 pages, 2 figures, 2 tables
• On the robustness of extortionate strategies in Iterated Prisoner's Dilemma
  joint with J. Chen, 5 pages plus 2-page appendix