D-Index & Metrics Best Publications
Rahul Pandharipande

Rahul Pandharipande

Mathematics
Switzerland
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 60 Citations 12,579 136 World Ranking 385 National Ranking 7

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Switzerland Leader Award

2022 - Research.com Mathematics in Switzerland Leader Award

2020 - Member of Academia Europaea

1999 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Pure mathematics
  • Algebra
  • Mathematical analysis

Rahul Pandharipande mainly investigates Pure mathematics, Algebra, Moduli space, Algebraic geometry and Donaldson–Thomas theory. Pure mathematics and Mathematical analysis are commonly linked in his work. In the subject of general Algebra, his work in Invertible matrix and Equivariant map is often linked to Bilinear interpolation, thereby combining diverse domains of study.

In his study, which falls under the umbrella issue of Moduli space, Obstruction theory, Grassmannian, Sheaf and Compactification is strongly linked to Projective space. His Algebraic geometry research incorporates themes from Discrete mathematics, Algebraic cobordism, Algebraic cycle and Function field of an algebraic variety. His work deals with themes such as Modular form, Fibered knot, Modulo, Cobordism and Dimension of an algebraic variety, which intersect with Donaldson–Thomas theory.

His most cited work include:

  • Mirror Symmetry (1367 citations)
  • Localization of virtual classes (674 citations)
  • Notes on stable maps and quantum cohomology (506 citations)

What are the main themes of his work throughout his whole career to date?

Rahul Pandharipande focuses on Pure mathematics, Moduli space, Genus, Invertible matrix and Algebra. Pure mathematics connects with themes related to Mathematical analysis in his study. His Moduli space study combines topics in areas such as Ring, Chern class, Space and Fundamental class.

His Genus study incorporates themes from Elliptic curve, Divisor, Boundary and Degree. His studies in Invertible matrix integrate themes in fields like Algebraic number, Series, Partition function and Combinatorics. His work is dedicated to discovering how Equivariant map, Hilbert scheme are connected with Quantum cohomology, Surface and Donaldson–Thomas theory and other disciplines.

He most often published in these fields:

  • Pure mathematics (75.36%)
  • Moduli space (43.96%)
  • Genus (21.26%)

What were the highlights of his more recent work (between 2015-2021)?

  • Pure mathematics (75.36%)
  • Moduli space (43.96%)
  • Genus (21.26%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Pure mathematics, Moduli space, Genus, Invertible matrix and Descendent. His Pure mathematics research focuses on Holomorphic function, Quotient, Conjecture, K3 surface and Hilbert scheme. His research investigates the connection with K3 surface and areas like Algebra which intersect with concerns in Connection.

His studies deal with areas such as Mathematical analysis, Meromorphic function, Ring, Fundamental class and Abelian group as well as Moduli space. While the research belongs to areas of Genus, Rahul Pandharipande spends his time largely on the problem of Cover, intersecting his research to questions surrounding Fibered knot and Fixed point. Rahul Pandharipande has included themes like Calculus, Algebraic geometry, Combinatorics and Euler's formula in his Invertible matrix study.

Between 2015 and 2021, his most popular works were:

  • Gromov-Witten/pairs correspondence for the quintic 3-fold (59 citations)
  • Double ramification cycles on the moduli spaces of curves (57 citations)
  • THE MODULI SPACE OF TWISTED CANONICAL DIVISORS (55 citations)

In his most recent research, the most cited papers focused on:

  • Pure mathematics
  • Algebra
  • Mathematical analysis

His primary areas of investigation include Pure mathematics, Moduli space, Conjecture, Algebra and Fundamental class. His study looks at the relationship between Pure mathematics and topics such as Mathematical analysis, which overlap with Invariant. His biological study spans a wide range of topics, including Ring, Type, Abelian group and Euler characteristic.

Within one scientific family, Rahul Pandharipande focuses on topics pertaining to Genus under Ring, and may sometimes address concerns connected to Space. His Conjecture research is multidisciplinary, incorporating perspectives in Hilbert scheme, Modular form and K3 surface. The study incorporates disciplines such as Chern class and Meromorphic function in addition to Fundamental class.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Mirror Symmetry

Eric Zaslow;Ravi Vakil;Kentaro Hori;Richard Thomas.
(2003)

1430 Citations

Notes on stable maps and quantum cohomology

W. Fulton;R. Pandharipande.
arXiv: Algebraic Geometry (1996)

800 Citations

Localization of virtual classes

T. Graber;R. Pandharipande.
Inventiones Mathematicae (1999)

714 Citations

Gromov-Witten theory and Donaldson-Thomas theory, I

D. Maulik;N. Nekrasov;A. Okounkov;R. Pandharipande.
Compositio Mathematica (2006)

568 Citations

Hodge integrals and Gromov-Witten theory

Carel Faber;R. Pandharipande.
Inventiones Mathematicae (2000)

535 Citations

Curve counting via stable pairs in the derived category

Rahul Pandharipande;Robert Paul Thomas.
Inventiones Mathematicae (2009)

393 Citations

Gromov-Witten theory, Hurwitz theory, and completed cycles

Andrei Okounkov;Rahul Pandharipande.
Annals of Mathematics (2006)

367 Citations

Gromov-Witten theory, Hurwitz numbers, and Matrix models, I

Andrei Okounkov;Rahul Pandharipande.
arXiv: Algebraic Geometry (2001)

316 Citations

The Equivariant Gromov-Witten theory of P**1

Andrei Okounkov;Rahul Pandharipande.
Annals of Mathematics (2006)

210 Citations

Gromov-Witten theory and Donaldson-Thomas theory, II

D. Maulik;N. Nekrasov;A. Okounkov;R. Pandharipande.
arXiv: Algebraic Geometry (2003)

201 Citations

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