Rahul Pandharipande

Rahul Pandharipande's AcademicInfluence.com Rankings

Rahul Pandharipande

Mathematics

#360

World Rank

#749

Historical Rank

Measure Theory

#2238

World Rank

#2687

Historical Rank

mathematics Degrees

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Mathematics

Why Is Rahul Pandharipande Influential?

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According to Wikipedia, Rahul Pandharipande is a mathematician who is currently a professor of mathematics at the Swiss Federal Institute of Technology Zürich working in algebraic geometry. His particular interests concern moduli spaces, enumerative invariants associated to moduli spaces, such as Gromov–Witten invariants and Donaldson–Thomas invariants, and the cohomology of the moduli space of curves. His father Vijay Raghunath Pandharipande was a renowned theoretical physicist who worked in the area of nuclear physics.

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Rahul Pandharipande's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Notes on stable maps and quantum cohomology (1996) (763)
Localization of virtual classes (1997) (710)
Gromov–Witten theory and Donaldson–Thomas theory, I (2003) (534)
Hodge integrals and Gromov-Witten theory (1998) (495)
Gromov-Witten theory, Hurwitz theory, and completed cycles (2002) (378)
Curve counting via stable pairs in the derived category (2007) (358)
Gromov-Witten theory, Hurwitz numbers, and Matrix models, I (2001) (278)
Relative maps and tautological classes (2003) (206)
The Equivariant Gromov-Witten theory of P**1 (2002) (196)
Stable pairs and BPS invariants (2007) (183)
The local Gromov-Witten theory of curves (2004) (176)
The tropical vertex (2009) (163)
Algebraic cobordism revisited (2006) (160)
A topological view of Gromov-Witten theory (2004) (155)
Curves on K3 surfaces and modular forms (2010) (151)
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds (2008) (150)
Quantum cohomology of the Hilbert scheme of points in the plane (2004) (147)
Virasoro constraints for target curves (2003) (143)
The connectedness of the moduli space of maps to homogeneous spaces (2000) (135)
Virasoro constraints and the Chern classes of the Hodge bundle (1998) (132)
Disk enumeration on the quintic 3-fold (2006) (132)
The moduli space of stable quotients (2009) (130)
Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier. (2000) (126)
Constructions of nontautological classes of moduli spaces of curves (2001) (126)
Gromov–Witten theory and Donaldson–Thomas theory, II (2004) (125)
Rational curves on hypersurfaces [after A. Givental] (1998) (119)
Gromov-Witten theory and Noether-Lefschetz theory (2007) (119)
A COMPACTIFICATION OVER Mg OF THE UNIVERSAL MODULI SPACE OF SLOPE-SEMISTABLE VECTOR BUNDLES. (1995) (117)
Hodge Integrals and Degenerate Contributions (1998) (116)
Double ramification cycles on the moduli spaces of curves (2016) (115)
The Toda Equations and the Gromov–Witten Theory of the Riemann Sphere (1999) (112)
Three Questions in Gromov-Witten Theory (2003) (103)
Hodge integrals and invariants of the unknot (2003) (98)
A reconstruction theorem in quantum cohomology and quantum K-theory (2001) (94)
Enumerative Geometry of Calabi-Yau 4-Folds (2007) (94)
On the geometry of Deligne-Mumford stacks (2009) (93)
A descendent relation in genus 2 (1998) (90)
Noether-Lefschetz theory and the Yau-Zaslow conjecture (2008) (90)
The quantum cohomology of blow-ups of P^2 and enumerative geometry (1996) (84)
The 3-fold vertex via stable pairs (2007) (84)
THE MODULI SPACE OF TWISTED CANONICAL DIVISORS (2015) (81)
Gromov-Witten/pairs correspondence for the quintic 3-fold (2012) (80)
Hodge integrals, partition matrices, and the λ g conjecture (2003) (80)
INTERSECTIONS OF Q-DIVISORS ON KONTSEVICH’S MODULI SPACE M0,n(P, d) AND ENUMERATIVE GEOMETRY (1995) (76)
Stable Maps and Branch Divisors (1999) (74)
The local Donaldson–Thomas theory of curves (2005) (74)
The orbifold quantum cohomology of C^2/Z_3 and Hurwitz-Hodge integrals (2005) (71)
The Katz-Klemm-Vafa conjecture for K3 surfaces (2016) (67)
Rational curves on hypersurfaces (1998) (66)
BPS states of curves in Calabi-Yau 3-folds (2000) (65)
Relations on $\overline {\mathcal {M}}_{g,n}$ via $3$-spin structures (2014) (64)
The theta characteristic of a branched covering (2003) (63)
Abelian Hurwitz-Hodge integrals (2008) (62)
Hypersurfaces of low degree (1998) (61)
Intersections of ℚ-divisors on Kontsevich’s moduli space \overline{}_{0,}(ℙ^{},) and enumerative geometry (1999) (59)
New Calculations in Gromov-Witten Theory (2006) (58)
A Compactification over \overline{_{}} of the Universal Moduli Space of Slope-Semistable Vector Bundles (1995) (58)
Intersection theory on moduli of disks, open KdV and Virasoro (2014) (56)
Segre classes and Hilbert schemes of points (2015) (53)
Quivers, curves, and the tropical vertex (2009) (53)
Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration (2016) (52)
Relations on Mbar_{g,n} via 3-spin structures (2013) (51)
Relations in the tautological ring of the moduli space of curves (2013) (48)
The quantum cohomology of blow-ups of ${\bf P}\sp 2$ and enumerative geometry (1998) (47)
Tautological and non-tautological cohomology of the moduli space of curves (2011) (46)
A geometric construction of Getzler's elliptic relation (1999) (45)
The canonical class of M¯0,n(Pr,d) and enumerative geometry (1997) (45)
A calculus for the moduli space of curves (2016) (44)
EQUIVARIANT CHOW RINGS OF O (K), SO (2K + 1), AND SO (4) (1998) (42)
The quantum differential equation of the Hilbert scheme of points in the plane (2009) (40)
Curves in Calabi-Yau threefolds and topological quantum field theory (2005) (39)
Curve counting on abelian surfaces and threefolds (2015) (38)
Stable quotients and the holomorphic anomaly equation (2017) (34)
On the Motivic Stable Pairs Invariants of K3 Surfaces (2014) (34)
Descendent theory for stable pairs on toric 3-folds (2010) (32)
Enumerative Geometry of Calabi-Yau 5-Folds (2008) (31)
Gromov–Witten/pairs descendent correspondence for toric 3–folds (2012) (31)
Tautological relations via 𝑟-spin structures (2016) (31)
COHOMOLOGICAL FIELD THEORY CALCULATIONS (2017) (29)
Relations in the tautological ring (2011) (29)
Descendents on local curves: rationality (2010) (28)
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics (2019) (27)
The combinatorics of Lehn's conjecture (2017) (27)
Double ramification cycles with target varieties (2018) (27)
Algebraic cobordism of bundles on varieties (2010) (25)
Descendant invariants and characteristic numbers (2001) (25)
Pixton's formula and Abel-Jacobi theory on the Picard stack (2020) (25)
CURVES ON K 3 SURFACES AND MODULAR FORMS (2012) (23)
The κ ring of the moduli of curves of compact type (2012) (22)
Higher rank Segre integrals over the Hilbert scheme of points (2017) (22)
13/2 ways to count curves (2011) (22)
New topological recursion relations (2008) (22)
The Chern character of the Verlinde bundle over ℳ¯ g,n (2015) (21)
Pandharipande Relative maps and tautological classes (2004) (20)
Counting elliptic plane curves with fixed $j$-invariant (1997) (19)
Descendents on local curves: Stationary theory (2011) (18)
Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory (2003) (18)
A Fock space approach to Severi degrees (2012) (17)
The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves (2021) (16)
The kappa ring of the moduli of curves of compact type: I (2009) (16)
The Betti numbers of \ℴℯℯ{ℳ}_{0,}(,) (2006) (16)
Convex rationally connected varieties (2004) (16)
Rationality of descendent series for Hilbert and Quot schemes of surfaces (2020) (15)
Multipoint Series of Gromov–Witten Invariants of CP1 (2002) (15)
The hypergeometric functions of the Faber-Zagier and Pixton relations (2015) (15)
The virtual K-theory of Quot schemes of surfaces (2020) (15)
Relations in the tautological ring of the moduli space of $K3$ surfaces (2016) (15)
Descendents for stable pairs on 3-folds (2017) (14)
The first Chern class of the Verlinde bundles (2015) (13)
The Chow Ring of the Non-Linear Grassmannian (1996) (13)
HIGHER GENUS GROMOV–WITTEN THEORY OF Hilb(C2) AND CohFTs ASSOCIATED TO LOCAL CURVES (2018) (12)
GW/PT Descendent Correspondence via Vertex Operators (2018) (12)
A geometric construction of Getzler's relation (1997) (12)
Holomorphic Anomaly Equations for the Formal Quintic (2018) (12)
A Note On Elliptic Plane Curves With Fixed j-Invariant (1995) (11)
The Chern character of the Verlinde bundle over the moduli space of stable curves (2013) (11)
ALMOST CLOSED 1-FORMS (2012) (10)
Severi Degrees in Cogenus 3 (1995) (10)
A Topological View of Gromov-witten Theory 0 Introduction 0.1 Overview (2004) (10)
Crepant resolution and the holomorphic anomaly equation for [C3/Z3] (2018) (10)
A Geometric Invariant Theory Compactification of M_{g,n} Via the Fulton-MacPherson Configuration Space (1995) (9)
Tevelev degrees and Hurwitz moduli spaces (2021) (9)
The Chow Ring of the Hilbert Scheme of Rational Normal Curves (1996) (8)
Descendent bounds for effective divisors on the moduli space of curves (2008) (7)
Maps, sheaves, and K3 surfaces (2008) (6)
Zero cycles on the moduli space of curves (2019) (6)
Intersections of Q-Divisors on Kontsevich's Moduli Space $\bar{M}_{0,n}(P^r,d)$ and Enumerative Geometry (1995) (5)
Virasoro constraints for stable pairs on toric 3-folds (2020) (5)
Tevelev degrees in Gromov-Witten theory (2021) (5)
On the rigidity of stable maps to Calabi-Yau threefolds (2004) (5)
Logarithmic double ramification cycles (2022) (5)
Notes on the proof of the KKV conjecture (2014) (5)
Enumerativity of virtual Tevelev degrees (2021) (5)
The kappa classes on the moduli spaces of curves (2011) (5)
HIGHER GENUS GROMOV–WITTEN THEORY OF $\mathsf{Hilb}^{n}(\mathbb{C}^{2})$ AND $\mathsf{CohFTs}$ ASSOCIATED TO LOCAL CURVES (2019) (5)
The Hilb/Sym correspondence for C2: descendents and Fourier-Mukai (2018) (4)
The Chern classes of the Verlinde bundles (2013) (4)
Gromov – Witten Theory of Complete Intersections (2021) (3)
onMg,n via 3-spin structures (2014) (3)
The Canonical Class of $\overline{M}_{0,n}(P^r,d)$ And Enumerative Geometry (1995) (3)
Higher genus Gromov-Witten theory of the Hilbert scheme of points of the plane and CohFTs associated to local curves (2017) (3)
Hodge integrals, partition matrices, and the $\lambda_g$ conjecture (1999) (2)
Curve counting on K3 x E, the Igusa cusp form chi_{10}, and descendent integration (2014) (2)
Virasoro constraints for stable pairs on toric threefolds (2022) (2)
Cohomological field theories with non-tautological classes (2018) (2)
The Betti numbers of Mbar_{0,n}(r,d) (2005) (1)
Algebraic Geometry, Part 2: Seattle 2005 (2009) (1)
Algebraic Geometry, Part 1: Seattle 2005 (2009) (1)
Open problems (for AGNES) (2010) (1)
Descendent bounds for effective divisors on \overline{}_{} (2011) (1)
GW/PT Descendent Correspondence via Vertex Operators (2020) (0)
The Symmetric Function h^0(\bar{M}_{0,n}, L_1^{x_1} \tensor...\tensor L_n^{x_n}) (1996) (0)
Gromov–Witten theory of complete intersections via nodal invariants (2021) (0)
Classification of polarized manifolds admitting a low degree cover of projective space among their hyperplane sections (2007) (0)
Enumerative Geometry of Calabi-Yau 5-Folds R . Pandharipande and A . Zinger (0)
Books and videos (2009) (0)
The Betti numbers of $\overline{\mathcal{M}}_{0,n}(r,d)$ (2006) (0)
A G ] 1 3 N ov 2 01 3 The Chern character of the Verlinde bundle over (2013) (0)
Holomorphic Anomaly Equations for the Formal Quintic (2019) (0)
A non-tautological algebraic class on $\bar{M}_{2,22}$ (2001) (0)
Descendants for stable pairs on 3-folds (2018) (0)
A G ] 2 F eb 2 00 1 Descendant invariants and characteristic numbers (2008) (0)
Open <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">CP</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> descendent theory I: The stationary sector (2022) (0)
The local Donaldson-Thomas theory of curves A . Okounkov and R . Pandharipande (2005) (0)
Open $\mathbb{CP}^1$ descendent theory I: The stationary sector (2020) (0)
Double ramification cycles on the moduli spaces of curves (2017) (0)
The Hilb/Sym correspondence for $${\mathbb {C}}^2$$: descendents and Fourier–Mukai (2019) (0)
The Equivariant Chow Ring of SO(4) (1996) (0)
The Equivariant Chow Ring of So(4) Rahul Pandharipande (1996) (0)

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Rahul Pandharipande's Academic­Influence.com Rankings