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Mathematics

D-Index
64
Citations
24771
World Ranking
408
National Ranking
217

Research.com Recognitions

  • 2016 - Fellow of the American Academy of Arts and Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 2006 - Frank Nelson Cole Prize in Algebra
  • 2005 - Member of the National Academy of Sciences
  • 1989 - Fellow of Alfred P. Sloan Foundation

Overview

János Kollár is a mathematician affiliated with Princeton University in the United States. Their work primarily spans the field of Mathematics, with a notable focus on Geometry and Topology. Additional subfields include Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics, and Algebra and Number Theory.

János Kollár's research centers on topics such as Algebraic Geometry and Number Theory, Advanced Algebra and Geometry, Polynomial and algebraic computation, Meromorphic and Entire Functions, Commutative Algebra and Its Applications, Homotopy and Cohomology in Algebraic Topology, and Advanced Differential Equations and Dynamical Systems.

The scientist has a significant number of publications, with notable venues including:

  • arXiv (Cornell University)
  • Pure and Applied Mathematics Quarterly
  • Commentarii Mathematici Helvetici
  • Electronic Research Archive
  • Acta Mathematica Sinica English Series

Among recent papers, several highlight different aspects of Kollár's work:

  • "Relative mmp without -factoriality," 2021, Electronic Research Archive
  • "Moduli of Polarized Calabi-Yau Pairs," 2020, Acta Mathematica Sinica English Series
  • "On the local étale fundamental group of KLT threefold singularities," 2020, arXiv (Cornell University)
  • "Resolution and alteration with ample exceptional divisor," 2021, arXiv (Cornell University)
  • "Vanishing Theorems for Three-folds in Characteristic p > 5," 2021, International Mathematics Research Notices

János Kollár has collaborated frequently with several co-authors, including:

  • Sándor J. Kovács
  • Max Lieblich
  • Martin Olsson
  • Will Sawin
  • Fabio Bernasconi

In terms of book publications, János Kollár has contributed to works published by Cambridge University Press and Princeton University Press. Titles include "Families of Varieties of General Type" (2023) and "What Determines an Algebraic Variety?" (2023).

János Kollár has received several awards and distinctions, such as:

  • Fellow of the American Academy of Arts and Sciences, 2016
  • Fellow of the American Mathematical Society, 2013
  • Frank Nelson Cole Prize in Algebra, 2006
  • Member of the National Academy of Sciences, 2005
  • Fellow of Alfred P. Sloan Foundation, 1989

Best Publications

  • The surface energy of metals

    L. Vitos;A.V. Ruban;H.L. Skriver;J. Kollár

  • Birational Geometry of Algebraic Varieties

    Janos Kollár;Shigefumi Mori

  • Rational Curves on Algebraic Varieties

    János Kollár

  • Singularities of the minimal model program

    János Kollár;Sándor J. Kovács

  • Flips and Abundance for Algebraic Threefolds

    J. Kollar

  • Singularities of pairs

    János Kollár;Karen E. Smith;Alessio Corti

  • Threefolds and deformations of surface singularities

    J. Kollár;N. I. Shepherd-Barron

  • Higher direct images of dualizing sheaves. II

    János Kollár

  • Rational connectedness and boundedness of Fano manifolds

    János Kollár;Yoichi Miyaoka;Shigefumi Mori

  • Lectures on Resolution of Singularities (AM-166)

    János Kollár

  • Lectures on resolution of singularities

    János Kollár

  • Shafarevich Maps and Automorphic Forms

    János Kollár

  • Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds

    Jean Pierre Demailly;János Kollár

  • Rationally Connected Varieties

    János Kollár

  • Sharp effective Nullstellensatz

    János Kollár

  • Application of the exact muffin-tin orbitals theory: the spherical cell approximation

    Levente Vitos;H. L. Skriver;Börje Johansson;J. Kollar

  • Classification of three-dimensional flips

    János Kollár;János Kollár;Shigefumi Mori;Shigefumi Mori

  • Projectivity of complete moduli

    János Kollár

  • Log canonical singularities are Du Bois

    János Kollár;Sándor J. Kovács

  • Shafarevich maps and plurigenera of algebraic varieties

    János Kollár

  • Semi-continuity of complex singularity exponents and K"ahler-Einstein metrics on Fano orbifolds

    Jean-Pierre Demailly;János Kollár

Frequent Co-Authors

Charles P. Boyer
Charles P. Boyer University of New Mexico
David R. Morrison
David R. Morrison University of California, Santa Barbara
Robert Lazarsfeld
Robert Lazarsfeld Stony Brook University
Charles Fefferman
Charles Fefferman Princeton University
Eduard Looijenga
Eduard Looijenga Utrecht University
Claire Voisin
Claire Voisin Institut de Mathématiques de Jussieu
Jean-Pierre Demailly
Jean-Pierre Demailly Grenoble Alpes University
László Babai
László Babai University of Chicago
Michael Kapovich
Michael Kapovich University of California, Davis

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