Ravi Vakil
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Canadian-American mathematician
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Ravi Vakilmathematics Degrees
Mathematics
#466
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#915
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Measure Theory
#3845
World Rank
#4533
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Mathematics
Ravi Vakil's Degrees
- Bachelors Mathematics Princeton University
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Why Is Ravi Vakil Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ravi D. Vakil is a Canadian-American mathematician working in algebraic geometry. Education and career Vakil attended high school at Martingrove Collegiate Institute in Etobicoke, Ontario, where he won several mathematical contests and olympiads. After earning a BSc and MSc from the University of Toronto in 1992, he completed a PhD in mathematics at Harvard University in 1997 under Joe Harris. He has since been an instructor at both Princeton University and MIT. Since the fall of 2001, he has taught at Stanford University, becoming a full professor in 2007.
Ravi Vakil's Published Works
Published Works
- Relative virtual localization and vanishing of tautological classes on moduli spaces of curves (2003) (214)
- Murphy’s law in algebraic geometry: Badly-behaved deformation spaces (2004) (206)
- Towards the geometry of double Hurwitz numbers (2003) (140)
- Classical Algebraic Geometry (2019) (117)
- A geometric Littlewood-Richardson rule (2003) (110)
- Hodge Integrals and Hurwitz Numbers via Virtual Localization (2000) (100)
- The Gromov–Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals (1999) (99)
- Counting curves on rational surfaces (2000) (92)
- On the tautological ring of Mg,n (2001) (86)
- The enumerative geometry of rational and elliptic curves in projective space (1997) (80)
- THE MODULI SPACE OF CURVES AND GROMOV-WITTEN THEORY (2006) (73)
- A desingularization of the main component of the moduli space of genus-one stable maps into ℙn (2006) (67)
- Discriminants in the Grothendieck Ring (2012) (59)
- The equations for the moduli space of $n$ points on the line (2009) (58)
- Schubert induction (2003) (54)
- the Value of π in (2009) (48)
- The Moduli Space of Curves and Its Tautological Ring (2003) (46)
- A short proof of the λg -conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves (2009) (37)
- MATH 216: FOUNDATIONS OF ALGEBRAIC GEOMETRY (2010) (36)
- The Moduli Space of Curves, Double Hurwitz Numbers, and Faber’s Intersection Number Conjecture (2006) (35)
- Twelve points on the projective line, branched covers, and rational elliptic fibrations (1999) (34)
- Genus 0 and 1 Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations (2001) (34)
- A description of the outer automorphism of S6, and the invariants of six points in projective space (2007) (34)
- The Characteristic Numbers of Quartic Plane Curves (1998) (31)
- The William Lowell Putnam Mathematical Competition, 1985-2000 : problems, solutions, and commentary (2002) (30)
- Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus (2006) (29)
- On Conway's recursive sequence (1996) (28)
- On the tautological ring of M g , n (2000) (25)
- Intersections of Schubert varieties and other permutation array schemes (2005) (25)
- Recursions, formulas, and graph-theoretic interpretations of ramified coverings of the sphere by surfaces of genus 0 and 1 (1998) (25)
- The projective invariants of ordered points on the line (2005) (23)
- Absolute Galois Acts Faithfully on the Components of the Moduli Space of Surfaces: A Belyi-Type Theorem in Higher Dimension (2007) (23)
- The Ideal of Relations for the Ring of Invariants of n Points on the Line: Integrality Results (2009) (22)
- The affine stratification number and the moduli space of curves (2004) (22)
- A natural smooth compactification of the space of elliptic curves in projective space (2006) (21)
- Enumerative Invariants in Algebraic Geometry and String Theory (2008) (21)
- Enumerative geometry of plane curves of low genus (1998) (21)
- Mnev-Sturmfels universality for schemes (2012) (20)
- The Chow ring of the moduli space of curves of genus six (2013) (20)
- Recursions for characteristic numbers of genus one plane curves (2001) (19)
- Formal pseudodifferential operators and Witten's r-spin numbers (2011) (16)
- Solving schubert problems with Littlewood-Richardson homotopies (2010) (15)
- Universal covering spaces and fundamental groups in algebraic geometry as schemes (2009) (13)
- Counting curves of any genus on rational ruled surfaces (1997) (13)
- A Mathematical Mosaic: Patterns and Problem Solving. (1998) (9)
- On the Chow ring of the Hurwitz space of degree three covers of ${\bf P}^{1}$ (2015) (8)
- The best card trick (2002) (7)
- On the Steenrod length of real projective spaces: finding longest chains in certain directed graphs (1999) (7)
- The relations among invariants of points on the projective line (2009) (6)
- MOTIVIC HILBERT ZETA FUNCTIONS OF CURVES ARE RATIONAL (2017) (6)
- A TOOL FOR STABLE REDUCTION OF CURVES ON SURFACES (2000) (6)
- πp, the Value of π in ℓp (2009) (6)
- The Mathematics of Doodling (2011) (5)
- A Mathematical Mosaic (1996) (5)
- Algebraic structures on the topology of moduli spaces of curves and maps (2008) (5)
- A Beginner ’ s Guide to Jet Bundles from the Point of View of Algebraic Geometry (1998) (5)
- A short proof of the lambda_g-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves (2006) (5)
- Snowbird Lectures in Algebraic Geometry (2005) (4)
- The moduli space of n points on the line is cut out by simple quadrics when n is not six (2006) (4)
- The ring of projective invariants of eight points on the line via representation theory (2008) (4)
- Low degree Hurwitz stacks in the Grothendieck ring (2022) (3)
- Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm (2018) (3)
- ARIZONA WINTER SCHOOL NOTES (2015) (2)
- Errata to “Discriminants in the Grothendieck ring” (2020) (2)
- BABY ALGEBRAIC GEOMETRY SEMINAR: AN ALGEBRAIC PROOF OF RIEMANN-ROCH (2)
- The Moduli Space of Curves and Its (2003) (2)
- MATH 245A TOPICS IN ALGEBRAIC GEOMETRY: COMPLEX ALGEBRAIC SURFACES (2002) (1)
- FOUNDATIONS OF ALGEBRAIC GEOMETRY CLASSES 43 AND 44 (2006) (1)
- The geometry of eight points in projective space: representation theory, Lie theory and dualities (2011) (1)
- Genus g Gromov-Witten invariants of Del Pezzo surfaces: Counting plane curves with fixed multiple points (1997) (1)
- Murphy’s Law for the Hilbert scheme (and the Chow variety, and moduli spaces of surfaces of general type, and stable maps, and nodal and cuspidal plane curves, and...) (2004) (0)
- A G ] 2 7 Se p 20 03 TOWARDS THE GEOMETRY OF DOUBLE HURWITZ NUMBERS (0)
- Snowbird lectures in algebraic geometry : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Algebraic Geometry, Presentations by Young Researchers, July 4-8, 2004, Snowbird, Utah (2005) (0)
- REUs with Limited Faculty Involvement, “Underrepresented” Subjects in the Undergraduate Curriculum, and the Culture of Mathematics (2015) (0)
- INTERSECTION THEORY CLASS 16 (2004) (0)
- Erratum: The mathematical knight (2003) (0)
- The geometry of moduli spaces by cutting and pasting (2016) (0)
- EQUIVARIANT ALGEBRAIC GEOMETRY (2015) (0)
- The Geometric Littlewood-Richardson rule : Combinatorial description (2003) (0)
- Research Summary and Proposal (0)
- Galois Groups of Schubert Problems (2015) (0)
- FOUNDATIONS OF ALGEBRAIC GEOMETRY CLASSES 7 AND 8 (0)
- On the tautological ring of $\bar{M}_{g,n}$ (2000) (0)
- THE GEOMETRY OF SPACES OF EIGHT POINTS IN PROJECTIVE SPACE ( DUALITIES , REPRESENTATION THEORY , AND LIE THEORY ) (2010) (0)
- Mnev's universality theorem for schemes (2012) (0)
- Numerical Schubert Calculus in Macaulay2 (2021) (0)
- FOUNDATIONS OF ALGEBRAIC GEOMETRY PROBLEM SET 7 (2005) (0)
- The Youngest Tenured Professor in Harvard History (1998) (0)
- INTERSECTION THEORY CLASSES 20 AND 21 : BIVARIANT INTERSECTION THEORY (2004) (0)
- COMPLEX ALGEBRAIC SURFACES CLASS 17 (2002) (0)
- Degenerations in algebraic geometry (2019) (0)
- A G ] 2 1 N ov 2 00 6 THE MODULI SPACE OF CURVES , DOUBLE HURWITZ NUMBERS (0)
- THE SPACE OF ORDERED POINTS ON THE PROJECTIVE LINE IS ALMOST ALWAYS CUT OUT BY QUADRICS (2005) (0)
- MATH 145 NOTES (2016) (0)
- Contents of Volume 135 (2003) (2003) (0)
- FOUNDATIONS OF ALGEBRAIC GEOMETRY BONUS HANDOUT : PROOFS OF “ HARTOGS ” AND KRULL (2005) (0)
- Geometric Magic (2011) (0)
- Stabilization of discriminants in the Grothendieck ring (2012) (0)
- INTERSECTION THEORY CLASS 4 (2004) (0)
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