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Mathematics

D-Index
45
Citations
13240
World Ranking
1425
National Ranking
630

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Sheldon Katz is affiliated with the University of Illinois at Urbana-Champaign in the United States. Their research spans the fields of Mathematics and Physics and Astronomy, with a strong focus on Geometry and Topology and Mathematical Physics as subfields.

The main areas of study for this researcher include:

  • Algebraic Geometry and Number Theory
  • Black Holes and Theoretical Physics
  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Homotopy and Cohomology in Algebraic Topology
  • Geometry and complex manifolds
  • Noncommutative and Quantum Gravity Theories

Sheldon Katz has contributed to various journals and publication venues, with frequent appearances in:

  • arXiv (Cornell University)
  • Pure and Applied Mathematics Quarterly
  • Transactions of the American Mathematical Society
  • Communications in Mathematical Physics
  • Selecta Mathematica

Among the recent papers authored or co-authored, the following stand out:

  • Topological Strings on Non-commutative Resolutions (2024), Communications in Mathematical Physics
  • Dimensional reduction of B-fields in F-theory (2022), Pure and Applied Mathematics Quarterly
  • Log BPS numbers of log Calabi-Yau surfaces (2020), Transactions of the American Mathematical Society
  • Sheaves of maximal intersection and multiplicities of stable log maps (2021), Selecta Mathematica
  • Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops (2025), Journal of High Energy Physics

The scientist has collaborated frequently with others in the field, including the following co-authors:

  • Thorsten Schimannek
  • Albrecht Klemm
  • Yun Shi
  • Jinwon Choi
  • Michel van Garrel

Sheldon Katz was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Mirror symmetry and algebraic geometry

    David A. Cox;Sheldon Katz

  • Mirror Symmetry

    Eric Zaslow;Ravi Vakil;Kentaro Hori;Richard Thomas

  • Geometric engineering of quantum field theories

    Sheldon H. Katz;Albrecht Klemm;Cumrun Vafa

  • Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors

    Sheldon Katz;Joel L. Lebowitz;Herbert Spohn

  • Mirror symmetry and Exact Solution of 4D N=2 Gauge Theories I

    Sheldon Katz;Peter Mayr;Cumrun Vafa

  • Matter from geometry

    Sheldon H. Katz;Cumrun Vafa

  • Mirror Symmetry for Two Parameter Models - II *

    Philip Candelas;Philip Candelas;Philip Candelas;Anamaria Font;Sheldon H. Katz;David R. Morrison;David R. Morrison

  • M theory, topological strings and spinning black holes

    Sheldon H. Katz;Albrecht Klemm;Cumrun Vafa

  • Small instantons, del Pezzo surfaces and type I′ theory

    Michael R. Douglas;Sheldon Katz;Cumrun Vafa;Cumrun Vafa

  • Enhanced gauge symmetry in type II string theory

    Sheldon H. Katz;David R. Morrison;M.Ronen Plesser

  • A Geometric unification of dualities

    F. Cachazo;B. Fiol;K. Intriligator;S. Katz;S. Katz

  • Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc

    Sheldon H. Katz;Chiu-Chu Melissa Liu;Chiu-Chu Melissa Liu;Chiu-Chu Melissa Liu

  • Geometric Transitions and N=1 Quiver Theories

    F A Cachazo;S Katz;C Vafa

  • Open string instantons and superpotentials

    Shamit Kachru;Shamit Kachru;Sheldon Katz;Albion Lawrence;Albion Lawrence;Albion Lawrence;John McGreevy

  • Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups

    Sheldon Katz;David R. Morrison

  • Geometric engineering of N = 1 quantum field theories

    Sheldon H. Katz;Cumrun Vafa

  • Tate's algorithm and F-theory

    Sheldon Katz;David R. Morrison;David R. Morrison;Sakura Schäfer-Nameki;Sakura Schäfer-Nameki;James Sully

  • On Geometric Classification of 5d SCFTs

    Patrick Jefferson;Sheldon Katz;Hee Cheol Kim;Hee Cheol Kim;Cumrun Vafa

  • D-branes, open string vertex operators, and Ext groups

    Sheldon H. Katz;Eric Sharpe

  • Computation of Superpotentials for D-Branes

    Paul S. Aspinwall;Paul S. Aspinwall;Sheldon H. Katz

Frequent Co-Authors

Cumrun Vafa
Cumrun Vafa Harvard University
David R. Morrison
David R. Morrison University of California, Santa Barbara
Albrecht Klemm
Albrecht Klemm University of Bonn
Ron Donagi
Ron Donagi University of Pennsylvania
Eric Sharpe
Eric Sharpe Virginia Tech
Shamit Kachru
Shamit Kachru Stanford University
Richard P. Thomas
Richard P. Thomas Imperial College London
Lawrence Ein
Lawrence Ein University of Illinois at Chicago
Thomas W. Sederberg
Thomas W. Sederberg Brigham Young University

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