D-Index & Metrics Best Publications
Rahul Pandharipande

Rahul Pandharipande

D-Index & Metrics

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 58 Citations 12,305 131 World Ranking 299 National Ranking 5

Research.com Recognitions

Awards & Achievements

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)

1264 Citations

Notes on stable maps and quantum cohomology

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

779 Citations

Localization of virtual classes

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

680 Citations

Gromov-Witten theory and Donaldson-Thomas theory, I

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

494 Citations

Hodge integrals and Gromov-Witten theory

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

494 Citations

Curve counting via stable pairs in the derived category

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

345 Citations

Gromov-Witten theory, Hurwitz theory, and completed cycles

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

322 Citations

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

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

312 Citations

Relative maps and tautological classes

Carel Faber;Rahul Pandharipande.
Journal of the European Mathematical Society (2005)

215 Citations

The local Gromov-Witten theory of curves

Jim Bryan;Rahul Pandharipande.
Journal of the American Mathematical Society (2006)

178 Citations

Best Scientists Citing Rahul Pandharipande

Albrecht Klemm

Albrecht Klemm

University of Bonn

Publications: 46

Marcos Mariño

Marcos Mariño

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Shing-Tung Yau

Harvard University

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Andrei Okounkov

Andrei Okounkov

Columbia University

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Yang-Hui He

Yang-Hui He

City, University of London

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John Harnad

John Harnad

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A. Alexandrov

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Institute on Taxation and Economic Policy

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Sheldon Katz

Sheldon Katz

University of Illinois at Urbana-Champaign

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Bertrand Eynard

Bertrand Eynard

Institut des Hautes Études Scientifiques

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Marco Bertola

Marco Bertola

International School for Advanced Studies

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Sergei Gukov

Sergei Gukov

California Institute of Technology

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Boris Dubrovin

Boris Dubrovin

International School for Advanced Studies

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Eric Sharpe

Eric Sharpe

Virginia Tech

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Richard P. Thomas

Richard P. Thomas

Imperial College London

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Richard J. Szabo

Richard J. Szabo

Heriot-Watt University

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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