Ravi Vakil

2.9k total citations · 1 hit paper
41 papers, 1.2k citations indexed

About

Ravi Vakil is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Ravi Vakil has authored 41 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Geometry and Topology, 16 papers in Algebra and Number Theory and 14 papers in Mathematical Physics. Recurrent topics in Ravi Vakil's work include Algebraic Geometry and Number Theory (26 papers), Commutative Algebra and Its Applications (13 papers) and Homotopy and Cohomology in Algebraic Topology (10 papers). Ravi Vakil is often cited by papers focused on Algebraic Geometry and Number Theory (26 papers), Commutative Algebra and Its Applications (13 papers) and Homotopy and Cohomology in Algebraic Topology (10 papers). Ravi Vakil collaborates with scholars based in United States, Canada and Germany. Ravi Vakil's co-authors include Kentaro Hori, Cumrun Vafa, Richard Thomas, Eric Zaslow, Sheldon Katz, Rahul Pandharipande, Albrecht Klemm, Tom Graber, I. P. Goulden and D. M. Jackson and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Ravi Vakil

37 papers receiving 1.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Mirror Symmetry

2003 541 citations Eric Zaslow, Ravi Vakil et al. arXiv (Cornell University) profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Ravi Vakil United States	14	834	474	359	257	202	41	1.2k
Oleg Viro Russia	12	876 1.1×	598 1.3×	224 0.6×	210 0.8×	333 1.6×	25	1.2k
Rinat Kashaev Russia	18	977 1.2×	463 1.0×	310 0.9×	491 1.9×	208 1.0×	52	1.2k
Bertrand Eynard France	15	454 0.5×	380 0.8×	322 0.9×	340 1.3×	149 0.7×	25	914
Nicolas Orantin France	10	411 0.5×	340 0.7×	277 0.8×	265 1.0×	137 0.7×	15	759
Miles Reid United Kingdom	20	1.1k 1.3×	603 1.3×	135 0.4×	234 0.9×	149 0.7×	34	1.4k
Leonid Chekhov Russia	15	421 0.5×	359 0.8×	234 0.7×	293 1.1×	117 0.6×	68	753
Alexander Postnikov United States	21	834 1.0×	461 1.0×	227 0.6×	174 0.7×	928 4.6×	46	1.5k
Matilde Marcolli United States	16	336 0.4×	633 1.3×	371 1.0×	470 1.8×	47 0.2×	104	1.1k
Eric Zaslow United States	15	975 1.2×	603 1.3×	582 1.6×	371 1.4×	119 0.6×	34	1.3k
Jean-Benoît Bost France	15	590 0.7×	462 1.0×	243 0.7×	167 0.6×	42 0.2×	27	944

Countries citing papers authored by Ravi Vakil

Since Specialization

Citations

This map shows the geographic impact of Ravi Vakil's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ravi Vakil with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ravi Vakil more than expected).

Fields of papers citing papers by Ravi Vakil

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ravi Vakil. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ravi Vakil. The network helps show where Ravi Vakil may publish in the future.

Co-authorship network of co-authors of Ravi Vakil

This figure shows the co-authorship network connecting the top 25 collaborators of Ravi Vakil. A scholar is included among the top collaborators of Ravi Vakil based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ravi Vakil. Ravi Vakil is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Vakil, Ravi, et al.. (2024). Low-degree Hurwitz stacks in the Grothendieck ring. Compositio Mathematica. 160(8). 1784–1849.

2.

Larson, Eric B., et al.. (2024). The interpolation problem: When can you pass a curve of a given type through 𝑛 random points in space?. Bulletin of the American Mathematical Society. 62(1). 67–91.

3.

Vakil, Ravi, et al.. (2020). Errata to “Discriminants in the Grothendieck ring”. Duke Mathematical Journal. 169(4). 1 indexed citations

4.

Howard, Benjamin, John J. Millson, Andrew Snowden, & Ravi Vakil. (2012). The Ideal of Relations for the Ring of Invariants ofnPoints on the Line: Integrality Results. Communications in Algebra. 40(10). 3884–3902.

5.

Howard, Benjamin, John J. Millson, Andrew Snowden, & Ravi Vakil. (2011). The ideal of relations for the ring of invariants of $n$ points on the line. Journal of the European Mathematical Society. 14(1). 1–60. 7 indexed citations

6.

Eisenbud, David, Frank–Olaf Schreyer, Ravi Vakil, & Claire Voisin. (2010). Classical Algebraic Geometry. Oberwolfach Reports. 7(2). 1573–1623. 1 indexed citations

7.

Vakil, Ravi. (2010). MATH 216: FOUNDATIONS OF ALGEBRAIC GEOMETRY. 3 indexed citations

8.

Keller, Joseph B. & Ravi Vakil. (2009). π p , the Value of π in ℓ _p . American Mathematical Monthly. 116(10). 931–935. 5 indexed citations

9.

Millson, John J., et al.. (2009). The relations among invariants of points on the projective line. Comptes Rendus Mathématique. 347(19-20). 1177–1182. 4 indexed citations

10.

Millson, John J., et al.. (2008). A description of the outer automorphism of S6, and the invariants of six points in projective space. Journal of Combinatorial Theory Series A. 115(7). 1296–1303. 8 indexed citations

11.

Easton, Robert W. & Ravi Vakil. (2007). Absolute Galois Acts Faithfully on the Components of the Moduli Space of Surfaces: A Belyi-Type Theorem in Higher Dimension. International Mathematics Research Notices. 2007. 7 indexed citations

12.

Vakil, Ravi. (2006). Schubert induction. Annals of Mathematics. 164(2). 489–512. 20 indexed citations

13.

Goulden, I. P., D. M. Jackson, & Ravi Vakil. (2005). Towards the geometry of double Hurwitz numbers. Advances in Mathematics. 198(1). 43–92. 60 indexed citations

14.

Vakil, Ravi, et al.. (2005). Snowbird Lectures in Algebraic Geometry. Contemporary mathematics - American Mathematical Society. 7 indexed citations

15.

Graber, Tom & Ravi Vakil. (2005). Relative virtual localization and vanishing of tautological classes on moduli spaces of curves. Duke Mathematical Journal. 130(1). 87 indexed citations

16.

Zaslow, Eric, Ravi Vakil, Kentaro Hori, et al.. (2003). Mirror Symmetry. arXiv (Cornell University). 541 indexed citations breakdown →

17.

Graber, Tom & Ravi Vakil. (2003). Hodge Integrals and Hurwitz Numbers via Virtual Localization. Compositio Mathematica. 135(1). 25–36. 44 indexed citations

18.

Vakil, Ravi. (2001). Genus $0$ and $1$ Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations. Transactions of the American Mathematical Society. 353(10). 4025–4038. 17 indexed citations

19.

Vakil, Ravi. (1999). On the Steenrod length of real projective spaces: finding longest chains in certain directed graphs. Discrete Mathematics. 204(1-3). 415–425. 3 indexed citations

20.

Vakil, Ravi, et al.. (1996). On Conway's recursive sequence. Discrete Mathematics. 152(1-3). 225–252. 15 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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