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Vakil, Ravi

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Author ID: vakil.ravi Recent zbMATH articles by "Vakil, Ravi"
Published as: Vakil, Ravi; Vakil, R.
Homepage: http://math.stanford.edu/~vakil/
External Links: MGP · Wikidata · dblp
Documents Indexed: 59 Publications since 1996, including 6 Books

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 746 times in 613 Documents Cited by Year
Mirror symmetry. Zbl 1044.14018
Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric
219
2003
Relative virtual localization and vanishing of tautological classes of moduli spaces of curves. Zbl 1088.14007
Graber, Tom; Vakil, Ravi
61
2005
Murphy’s law in algebraic geometry: Badly-behaved deformation spaces. Zbl 1095.14006
Vakil, Ravi
49
2006
Towards the geometry of double Hurwitz numbers. Zbl 1086.14022
Goulden, I. P.; Jackson, D. M.; Vakil, R.
41
2005
A geometric Littlewood-Richardson rule. Zbl 1163.05337
Vakil, Ravi
27
2006
Counting curves on rational surfaces. Zbl 0967.14036
Vakil, Ravi
27
2000
The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals. Zbl 1074.14520
Goulden, I. P.; Jackson, D. M.; Vakil, R.
25
2001
Hodge integrals and Hurwitz numbers via virtual localization. Zbl 1063.14032
Graber, Tom; Vakil, Ravi
22
2003
Schubert induction. Zbl 1115.14043
Vakil, Ravi
21
2006
The equations for the moduli space of \(n\) points on the line. Zbl 1161.14033
Howard, Benjamin; Millson, John; Snowden, Andrew; Vakil, Ravi
21
2009
A desingularization of the main component of the moduli space of genus-one stable maps into \(\mathbb{P}^{n}\). Zbl 1134.14009
Vakil, Ravi; Zinger, Aleksey
20
2008
Discriminants in the Grothendieck ring. Zbl 1461.14020
Vakil, Ravi; Wood, Melanie Matchett
19
2015
The enumerative geometry of rational and elliptic curves in projective space. Zbl 0970.14029
Vakil, Ravi
18
2000
The moduli space of curves and Gromov-Witten theory. Zbl 1156.14043
Vakil, R.
17
2008
On Conway’s recursive sequence. Zbl 0852.05010
Kubo, Tal; Vakil, Ravi
12
1996
On the tautological ring of \(\overline{\mathcal M}_{g,n}\). Zbl 1040.14007
Graber, Tom; Vakil, Ravi
11
2001
Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus. Zbl 1184.14080
Coskun, Izzet; Vakil, Ravi
10
2009
A short proof of the \(\lambda_{g}\)-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves. Zbl 1205.14068
Goulden, I. P.; Jackson, D. M.; Vakil, R.
9
2009
The moduli space of curves and its tautological ring. Zbl 1082.14033
Vakil, Ravi
9
2003
A natural smooth compactification of the space of elliptic curves in projective space. Zbl 1131.14028
Vakil, Ravi; Zinger, Aleksey
9
2007
The ideal of relations for the ring of invariants of \(n\) points on the line. Zbl 1255.14039
Howard, Benjamin; Millson, John J.; Snowden, Andrew; Vakil, Ravi
9
2012
Twelve points on the projective line, branched covers, and rational elliptic fibrations. Zbl 1017.14005
Vakil, Ravi
8
2001
The moduli space of curves, double Hurwitz numbers, and Faber’s intersection number conjecture. Zbl 1236.14031
Goulden, I. P.; Jackson, D. M.; Vakil, Ravi
8
2011
The characteristic numbers of quartic plane curves. Zbl 0967.14034
Vakil, Ravi
7
1999
Intersections of Schubert varieties and other permutation array schemes. Zbl 1132.14044
Billey, Sara; Vakil, Ravi
6
2008
Mnëv-Sturmfels universality for schemes. Zbl 1317.14080
Lee, Seok Hyeong; Vakil, Ravi
6
2013
Genus \(0\) and \(1\) Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations. Zbl 0980.14021
Vakil, Ravi
5
2001
On the Steenrod length of real projective spaces: Finding longest chains in certain directed graphs. Zbl 0934.05070
Vakil, Ravi
5
1999
Absolute Galois acts faithfully on the components of the moduli space of surfaces: a Belyi-type theorem in higher dimension. Zbl 1136.14030
Easton, Robert W.; Vakil, Ravi
5
2007
The affine stratification number and the moduli space of curves. Zbl 1070.14021
Roth, Mike; Vakil, Ravi
4
2004
Formal pseudodifferential operators and Witten’s \(r\)-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
4
2017
Algebraic structures on the topology of moduli spaces of curves and maps. Zbl 1198.14023
Lee, Y.-P.; Vakil, R.
3
2010
Encounter at far point. Zbl 1227.00008
Kleber, Michael; Vakil, Ravi
3
2008
The relations among invariants of points on the projective line. Zbl 1174.14039
Howard, Ben; Millson, John; Snowden, Andrew; Vakil, Ravi
3
2009
Universal covering spaces and fundamental groups in algebraic geometry as schemes. Zbl 1228.14019
Vakil, Ravi; Wickelgren, Kirsten
3
2011
Solving Schubert problems with Littlewood-Richardson homotopies. Zbl 1321.68541
Sottile, Frank; Vakil, Ravi; Verschelde, Jan
3
2010
Algebraic geometry and the ongoing unification of mathematics: explaining Deligne to a broad audience. Zbl 1295.14001
Vakil, Ravi
3
2013
\(\pi _{p}\), the value of \(\pi \) in \(\ell _{p}\). Zbl 1229.51024
Keller, Joseph B.; Vakil, Ravi
2
2009
A tool for stable reduction of curves on surfaces. Zbl 0994.14017
Vakil, Ravi
2
2001
Recursions for characteristic numbers of genus one plane curves. Zbl 1069.14059
Vakil, Ravi
2
2001
A mathematical mosaic. Patterns and problem solving. 2nd expanded ed. Zbl 1364.00009
Vakil, Ravi
2
2008
The Chow ring of the moduli space of curves of genus six. Zbl 1322.14052
Penev, Nikola; Vakil, Ravi
2
2015
A description of the outer automorphism of \(S_6\), and the invariants of six points in projective space. Zbl 1156.13005
Howard, Ben; Millson, John; Snowden, Andrew; Vakil, Ravi
2
2008
The mathematics of doodling. Zbl 1231.00018
Vakil, Ravi
1
2011
The William Lowell Putnam mathematical competition 1985–2000. Problems, solutions, and commentary. Zbl 1005.00003
Kedlaya, Kiran S.; Poonen, Bjorn; Vakil, Ravi
1
2002
Formal pseudodifferential operators and Witten’s \(r\)-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
4
2017
Discriminants in the Grothendieck ring. Zbl 1461.14020
Vakil, Ravi; Wood, Melanie Matchett
19
2015
The Chow ring of the moduli space of curves of genus six. Zbl 1322.14052
Penev, Nikola; Vakil, Ravi
2
2015
Mnëv-Sturmfels universality for schemes. Zbl 1317.14080
Lee, Seok Hyeong; Vakil, Ravi
6
2013
Algebraic geometry and the ongoing unification of mathematics: explaining Deligne to a broad audience. Zbl 1295.14001
Vakil, Ravi
3
2013
The ideal of relations for the ring of invariants of \(n\) points on the line. Zbl 1255.14039
Howard, Benjamin; Millson, John J.; Snowden, Andrew; Vakil, Ravi
9
2012
The moduli space of curves, double Hurwitz numbers, and Faber’s intersection number conjecture. Zbl 1236.14031
Goulden, I. P.; Jackson, D. M.; Vakil, Ravi
8
2011
Universal covering spaces and fundamental groups in algebraic geometry as schemes. Zbl 1228.14019
Vakil, Ravi; Wickelgren, Kirsten
3
2011
The mathematics of doodling. Zbl 1231.00018
Vakil, Ravi
1
2011
Algebraic structures on the topology of moduli spaces of curves and maps. Zbl 1198.14023
Lee, Y.-P.; Vakil, R.
3
2010
Solving Schubert problems with Littlewood-Richardson homotopies. Zbl 1321.68541
Sottile, Frank; Vakil, Ravi; Verschelde, Jan
3
2010
The equations for the moduli space of \(n\) points on the line. Zbl 1161.14033
Howard, Benjamin; Millson, John; Snowden, Andrew; Vakil, Ravi
21
2009
Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus. Zbl 1184.14080
Coskun, Izzet; Vakil, Ravi
10
2009
A short proof of the \(\lambda_{g}\)-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves. Zbl 1205.14068
Goulden, I. P.; Jackson, D. M.; Vakil, R.
9
2009
The relations among invariants of points on the projective line. Zbl 1174.14039
Howard, Ben; Millson, John; Snowden, Andrew; Vakil, Ravi
3
2009
\(\pi _{p}\), the value of \(\pi \) in \(\ell _{p}\). Zbl 1229.51024
Keller, Joseph B.; Vakil, Ravi
2
2009
A desingularization of the main component of the moduli space of genus-one stable maps into \(\mathbb{P}^{n}\). Zbl 1134.14009
Vakil, Ravi; Zinger, Aleksey
20
2008
The moduli space of curves and Gromov-Witten theory. Zbl 1156.14043
Vakil, R.
17
2008
Intersections of Schubert varieties and other permutation array schemes. Zbl 1132.14044
Billey, Sara; Vakil, Ravi
6
2008
Encounter at far point. Zbl 1227.00008
Kleber, Michael; Vakil, Ravi
3
2008
A mathematical mosaic. Patterns and problem solving. 2nd expanded ed. Zbl 1364.00009
Vakil, Ravi
2
2008
A description of the outer automorphism of \(S_6\), and the invariants of six points in projective space. Zbl 1156.13005
Howard, Ben; Millson, John; Snowden, Andrew; Vakil, Ravi
2
2008
A natural smooth compactification of the space of elliptic curves in projective space. Zbl 1131.14028
Vakil, Ravi; Zinger, Aleksey
9
2007
Absolute Galois acts faithfully on the components of the moduli space of surfaces: a Belyi-type theorem in higher dimension. Zbl 1136.14030
Easton, Robert W.; Vakil, Ravi
5
2007
Murphy’s law in algebraic geometry: Badly-behaved deformation spaces. Zbl 1095.14006
Vakil, Ravi
49
2006
A geometric Littlewood-Richardson rule. Zbl 1163.05337
Vakil, Ravi
27
2006
Schubert induction. Zbl 1115.14043
Vakil, Ravi
21
2006
Relative virtual localization and vanishing of tautological classes of moduli spaces of curves. Zbl 1088.14007
Graber, Tom; Vakil, Ravi
61
2005
Towards the geometry of double Hurwitz numbers. Zbl 1086.14022
Goulden, I. P.; Jackson, D. M.; Vakil, R.
41
2005
The affine stratification number and the moduli space of curves. Zbl 1070.14021
Roth, Mike; Vakil, Ravi
4
2004
Mirror symmetry. Zbl 1044.14018
Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric
219
2003
Hodge integrals and Hurwitz numbers via virtual localization. Zbl 1063.14032
Graber, Tom; Vakil, Ravi
22
2003
The moduli space of curves and its tautological ring. Zbl 1082.14033
Vakil, Ravi
9
2003
The William Lowell Putnam mathematical competition 1985–2000. Problems, solutions, and commentary. Zbl 1005.00003
Kedlaya, Kiran S.; Poonen, Bjorn; Vakil, Ravi
1
2002
The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals. Zbl 1074.14520
Goulden, I. P.; Jackson, D. M.; Vakil, R.
25
2001
On the tautological ring of \(\overline{\mathcal M}_{g,n}\). Zbl 1040.14007
Graber, Tom; Vakil, Ravi
11
2001
Twelve points on the projective line, branched covers, and rational elliptic fibrations. Zbl 1017.14005
Vakil, Ravi
8
2001
Genus \(0\) and \(1\) Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations. Zbl 0980.14021
Vakil, Ravi
5
2001
A tool for stable reduction of curves on surfaces. Zbl 0994.14017
Vakil, Ravi
2
2001
Recursions for characteristic numbers of genus one plane curves. Zbl 1069.14059
Vakil, Ravi
2
2001
Counting curves on rational surfaces. Zbl 0967.14036
Vakil, Ravi
27
2000
The enumerative geometry of rational and elliptic curves in projective space. Zbl 0970.14029
Vakil, Ravi
18
2000
The characteristic numbers of quartic plane curves. Zbl 0967.14034
Vakil, Ravi
7
1999
On the Steenrod length of real projective spaces: Finding longest chains in certain directed graphs. Zbl 0934.05070
Vakil, Ravi
5
1999
On Conway’s recursive sequence. Zbl 0852.05010
Kubo, Tal; Vakil, Ravi
12
1996
all top 5

Cited by 754 Authors

16 Vakil, Ravi
16 Zinger, Aleksey
11 Cavalieri, Renzo
11 Pandharipande, Rahul
10 Klemm, Albrecht
10 Shadrin, Sergey V.
9 Goulden, Ian P.
9 Ranganathan, Dhruv
8 Jockers, Hans
8 Markwig, Hannah
7 Jackson, David M.
7 Katzarkov, Ludmil
7 Mariño, Marcos
7 Pechenik, Oliver
7 Sottile, Frank
7 Vafa, Cumrun
7 Yong, Alexander
6 Catanese, Fabrizio M. E.
6 Howard, Benjamin J.
6 Iritani, Hiroshi
6 Liu, Kefeng
6 Shustin, Eugenii Isaakovich
6 Zvonkine, Dimitri
5 Aganagic, Mina
5 Bauer, Ingrid C.
5 Brugallé, Erwan
5 Grassi, Alba
5 Liu, Chiu-Chu Melissa
5 Mathai, Varghese
5 Millson, John J.
4 Alkan, Altug
4 Anas Hahn, Marvin
4 Bouchard, Vincent
4 Eynard, Bertrand
4 Govindarajan, Suresh
4 Itenberg, Ilia V.
4 Kazaryan, Maxim Eduardovich
4 Kharlamov, Viatcheslav M.
4 Kupers, Alexander
4 Lewanski, Danilo
4 Miller, Jeremy A.
4 Novak, Jonathan I.
4 Snowden, Andrew W.
4 Ueda, Kazushi
4 Wise, Jonathan
4 Wood, Melanie Matchett
4 Xu, Hao
4 Zhou, Jian
4 Zhu, Shengmao
3 Abouzaid, Mohammed
3 Brini, Andrea
3 Bryan, Jim
3 Buryak, Alexandr Y.
3 Cadman, Charles
3 Chen, Bohui
3 Coates, Tom
3 Coskun, Izzet
3 del Campo, Abraham Martín
3 Diemer, Colin
3 Dimofte, Tudor Dan
3 Du, Chengyong
3 Dunin-Barkovskiĭ, Petr Igorevich
3 Gallet, Matteo
3 Guay-Paquet, Mathieu
3 Hein, Nickolas
3 Hu, Jianxun
3 Jayaraman, T. S.
3 Kerr, Gabriel
3 Kimura, Tetsuji
3 Lê Minh Hà
3 Leykin, Anton
3 Manabe, Masahide
3 Manetti, Marco
3 Manon, Christopher
3 Maulik, Davesh
3 Mayr, Peter
3 Mikhalkin, Grigory B.
3 Moon, Han-Bom
3 Mulase, Motohico
3 Okun’kov, Andreĭ Yur’evich
3 Przhiyalkovskiĭ, Viktor Vladimirovich
3 Romo, Mauricio
3 Santamaría, Ricardo Couso
3 Sarkar, Tapobrata
3 Schicho, Josef
3 Soroush, Masoud
3 Sturmfels, Bernd
3 Sułkowski, Piotr
3 Tanny, Stephen M.
3 Tanzini, Alessandro
3 Tavakol, Mehdi
3 Tian, Gang
3 Tseng, Dennis
3 Tseng, Hsian-Hua
3 Walcher, Johannes
3 Wu, Longting
3 Xu, Guangbo
2 Alexandrov, Alexander Sergeevich
2 Alim, Murad
2 Aluffi, Paolo
...and 654 more Authors
all top 5

Cited in 145 Serials

49 Advances in Mathematics
43 Communications in Mathematical Physics
38 Nuclear Physics. B
18 Geometry & Topology
17 Transactions of the American Mathematical Society
17 Journal of High Energy Physics
15 Duke Mathematical Journal
15 Inventiones Mathematicae
12 Letters in Mathematical Physics
12 Journal of Pure and Applied Algebra
12 Mathematische Annalen
11 Journal of Geometry and Physics
11 Journal of Algebraic Combinatorics
10 Journal of Algebra
10 Proceedings of the American Mathematical Society
9 Journal of Combinatorial Theory. Series A
9 Journal of Algebraic Geometry
9 Journal of the European Mathematical Society (JEMS)
8 Mathematische Zeitschrift
8 Michigan Mathematical Journal
8 International Journal of Mathematics
8 Selecta Mathematica. New Series
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Annales de l’Institut Fourier
7 Manuscripta Mathematica
7 Journal of the American Mathematical Society
7 Annales Henri Poincaré
6 Journal für die Reine und Angewandte Mathematik
6 Science China. Mathematics
5 Communications in Algebra
5 Theoretical and Mathematical Physics
5 Compositio Mathematica
5 Geometriae Dedicata
5 Bulletin of the American Mathematical Society. New Series
5 Research in the Mathematical Sciences
4 Journal of Symbolic Computation
4 Discrete & Computational Geometry
4 Experimental Mathematics
4 Annals of Combinatorics
4 Japanese Journal of Mathematics. 3rd Series
3 Journal of Mathematical Physics
3 European Journal of Combinatorics
3 Journal of Mathematical Sciences (New York)
3 Transformation Groups
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Forum of Mathematics, Pi
3 European Journal of Mathematics
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Mathematical Notes
2 Arkiv för Matematik
2 Mathematics of Computation
2 Publications Mathématiques
2 Mathematische Nachrichten
2 Proceedings of the Japan Academy. Series A
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matematico della Università di Padova
2 Advances in Applied Mathematics
2 Graphs and Combinatorics
2 IMRN. International Mathematics Research Notices
2 The Electronic Journal of Combinatorics
2 Complexity
2 Documenta Mathematica
2 Advances in Geometry
2 Foundations of Computational Mathematics
2 Central European Journal of Mathematics
2 Mathematics in Computer Science
2 Journal of Physics A: Mathematical and Theoretical
2 Algebra & Number Theory
2 Advances in High Energy Physics
2 Journal of Commutative Algebra
2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Peking Mathematical Journal
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Bulletin of the Australian Mathematical Society
1 International Journal of Mathematical Education in Science and Technology
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Physics Letters. B
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
...and 45 more Serials
all top 5

Cited in 42 Fields

464 Algebraic geometry (14-XX)
139 Quantum theory (81-XX)
94 Differential geometry (53-XX)
75 Combinatorics (05-XX)
37 Several complex variables and analytic spaces (32-XX)
32 Manifolds and cell complexes (57-XX)
31 Number theory (11-XX)
26 Algebraic topology (55-XX)
23 Group theory and generalizations (20-XX)
23 Dynamical systems and ergodic theory (37-XX)
19 Convex and discrete geometry (52-XX)
17 Relativity and gravitational theory (83-XX)
16 Commutative algebra (13-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Associative rings and algebras (16-XX)
12 Category theory; homological algebra (18-XX)
12 Geometry (51-XX)
11 Functions of a complex variable (30-XX)
10 Nonassociative rings and algebras (17-XX)
9 \(K\)-theory (19-XX)
9 Partial differential equations (35-XX)
9 Probability theory and stochastic processes (60-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Mechanics of particles and systems (70-XX)
5 Numerical analysis (65-XX)
4 Topological groups, Lie groups (22-XX)
4 Special functions (33-XX)
4 Functional analysis (46-XX)
4 Operator theory (47-XX)
3 General and overarching topics; collections (00-XX)
3 Ordinary differential equations (34-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Mathematics education (97-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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