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Mathematics

D-Index
34
Citations
6406
World Ranking
2880
National Ranking
187

Research.com Recognitions

  • 2019 - Member of Academia Europaea
  • 2018 - Fellow of the American Mathematical Society For contributions to algebraic geometry.
  • 2015 - Fellow of the Royal Society, United Kingdom

Overview

Richard P. Thomas is affiliated with Imperial College London in the United Kingdom. Their research primarily spans the field of Mathematics, with a strong focus on Geometry and Topology.

Their main subjects of study include:

  • Algebraic Geometry and Number Theory
  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Geometry and complex manifolds
  • Homotopy and Cohomology in Algebraic Topology
  • Mathematics and Applications
  • Advanced Topology and Set Theory

Thomas has contributed extensively to subfields such as:

  • Geometry and Topology
  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Algebra and Number Theory
  • Computational Mechanics

They have collaborated often with several co-authors, including:

  • Soheyla Feyzbakhsh
  • Jeongseok Oh
  • Jeong Seok Oh
  • Daniel Huybrechts
  • Chenyang Xu

Frequent publication venues where Thomas has presented work include:

  • arXiv (Cornell University)
  • Oberwolfach Reports
  • Duke Mathematical Journal
  • Journal of the American Mathematical Society
  • Épijournal de Géométrie Algébrique

Recent papers authored or co-authored by Thomas encompass the following:

  • Counting sheaves on Calabi-Yau 4-folds, I, 2023, Duke Mathematical Journal
  • Counting sheaves on Calabi-Yau 4-folds, 2020, arXiv (Cornell University)
  • Rank DT theory from rank 1, 2022, Journal of the American Mathematical Society
  • Curve counting and S-duality, 2023, Épijournal de Géométrie Algébrique
  • Equivariant K-Theory and Refined Vafa-Witten Invariants, 2020, Communications in Mathematical Physics

Thomas has been recognized through several awards and honors, including:

  • Member of Academia Europaea (2019)
  • Fellow of the American Mathematical Society (2018), awarded for contributions to algebraic geometry
  • Fellow of the Royal Society, United Kingdom (2015)

Best Publications

  • Mirror Symmetry

    Eric Zaslow;Ravi Vakil;Kentaro Hori;Richard Thomas

  • Braid group actions on derived categories of coherent sheaves

    Paul Seidel;Richard P. Thomas

  • A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on $K3$ fibrations

    R. P. Thomas

  • A study of the Hilbert-Mumford criterion for the stability of projective varieties

    Julius Ross;Richard Thomas

  • Special Lagrangians, stable bundles and mean curvature flow

    R.P. Thomas;Shing-Tung Yau

  • Curves on K3 surfaces and modular forms

    D. Maulik;R. Pandharipande;R. P. Thomas

  • Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes

    Daniel Huybrechts;Richard P. Thomas

  • An obstruction to the existence of constant scalar curvature Kähler metrics

    Julius Ross;Richard Thomas

  • Hodge theory and derived categories of cubic fourfolds

    Nicolas Addington;Richard Thomas

  • $\mathbb P$-objects and autoequivalences of derived categories

    Daniel Huybrechts;Richard Thomas

  • The 3-fold vertex via stable pairs

    Rahul Pandharipande;Richard P Thomas

  • Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics

    Julius Ross;Richard Thomas

  • Symplectic Conifold Transitions

    I. Smith;R.P. Thomas;S.-T. Yau

  • A short proof of the G"ottsche conjecture

    M. Kool;V. Shende;R. P. Thomas

  • Notes on GIT and symplectic reduction for bundles and varieties

    R. P. Thomas

  • Stability conditions and the braid group

    R. P. Thomas

  • Reduced classes and curve counting on surfaces I: theory

    Martijn Kool;Richard Thomas

  • A short proof of the Göttsche conjecture

    Martijn Kool;Vivek Shende;Richard P Thomas

  • Vafa–Witten invariants for projective surfaces II: semistable case

    Yuuji Tanaka;Richard P. Thomas

  • Moment maps, monodromy and mirror manifolds

    R.P. Thomas

Frequent Co-Authors

Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Mikhail Khovanov
Mikhail Khovanov Columbia University
Albrecht Klemm
Albrecht Klemm University of Bonn
Sheldon Katz
Sheldon Katz University of Illinois at Urbana-Champaign
Cumrun Vafa
Cumrun Vafa Harvard University
Brendan Hassett
Brendan Hassett Brown University

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