"Absolute Galois acts faithfully on the components of the moduli Genus-one stable maps to projective space", with A. "A desingularization of the main component of the moduli space of "Geometric positivity in the cohomology of homogeneous spaces and "The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture", with I.P. "A natural smooth compactification of the space of ellipticĬurves in projective space via blowing up the space of stable maps", with A. "A natural smooth compactification of the space of ellipticĬurves in projective space", with A. "A short proof of the λ g-conjecture without Gromov-Witten theory: Hurwitz theory andĢ5. (Behrend and Manetti eds.), Lecture Notes in Mathematics 1947, Springer,Ģ4. In "Enumerative invariants in algebraic geometry and string theory" "The moduli space of curves and Gromov-Witten theory", The code used in the paper is available here.Ģ3. "The equations for the moduli space of n points on the line", Maple code available on Sara Billey's webpage. Billey, in "Algorithms in Algebraic Geometry", "Intersections of Schubert varieties and other Publication version (click on "report" and go to page 22)Ģ1. Moduli spaces of surfaces of general type, and nodal and cuspidal "Murphy's Law for the Hilbert scheme (and the Chow variety, and "Murphy's Law in algebraic geometry: Badly-behavedĭeformation spaces", Invent. Moduli spaces", CRM Proceedings and Lecture Notes, Universite de Montreal,Ģ0. Roth, (refereed) Proceedings of "Workshop on algebraic structures and "The affine stratification number and the moduli space of curves", "Towards the geometry of double Hurwitz numbers",Īdvances in Mathematics, (special issue in honour of Michael Artin)ġ9. "Relative virtual localization, and vanishing of tautological classes on moduli spaces of curves", "A geometric Littlewood-Richardson rule" (with an appendixġ6. "The moduli space of curves and its tautological ring", In Algebraic Geometry Motivated by Mathematical Physics", E. "A tool for stable reduction of curves on surfaces", in "Advances Gokova Geometry-Topology conference 2000, Akbulut, Onder and Stern eds., International Press, 2001.ġ3. The statement of the main theorem, should not have a factor of d^d. 135 (1) (January 2003), 25-36.Ĭorrection: Maryam Mirzakhani points out that the formula for Hurwitz numbers with two parts, just after "Hodge integrals, Hurwitz numbers, and virtual localization", "The Gromov-Witten potential of a point, Hurwitz numbers, and "Twelve points on the projective line, branched covers, and The degree 2 case, see Shoval and Shustin's paper here.ĩ. Of the "degree 3 Fano = cubic surface" more directly, and may lead to Update 2011: For an interesting follow-up, which can deal with the case Recursions, formulas, and graph-theoretic interpretations", Robinson Award for best article in the Can. "Recursions for characteristic numbers of genus one plane curves",Īrkiv for Matematik, 39 (2001), no. "The enumerative geometry of rational and elliptic curves inĥ. In the Gould Anniversary Volume of Discrete Math. "On the Steenrod length of real projective spaces:įinding longest chains in certain directed graphs", Thesis, Harvard University, 1997, under the supervision ofģ. "Enumerative geometry of curves via degeneration methods". "On Conway's recursive sequence", with T. I haven't posted TeX files of articles with complicated figures. Research-related publications and preprintsĬomments, corrections or suggestions would be greatly appreciated. Research-related publications and preprints,.Ravi Vakil's Publications and Preprints, etc.
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