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D-Index & Metrics

Mathematics

D-Index
39
Citations
4932
World Ranking
2243
National Ranking
945

Research.com Recognitions

  • 2014 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - Fellow of the American Mathematical Society

Overview

Yuri Tschinkel is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research predominantly focuses on the field of Mathematics, with a particular emphasis on Geometry and Topology, Mathematical Physics, and Algebra and Number Theory. Subfields within their work also include Discrete Mathematics and Combinatorics, as well as Applied Mathematics.

The scientist's scholarly output includes numerous publications across a range of topics. Main areas of research involve Algebraic Geometry and Number Theory, Homotopy and Cohomology in Algebraic Topology, Advanced Algebra and Geometry, Geometric and Algebraic Topology, Advanced Topics in Algebra, Geometry and Complex Manifolds, and Commutative Algebra and Its Applications.

Yuri Tschinkel has published extensively in respected venues. Some of the most frequent publication venues include:

  • arXiv (Cornell University)
  • Proceedings of the Edinburgh Mathematical Society
  • ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  • Pure and Applied Mathematics Quarterly
  • Research in Number Theory

Prominent recent papers authored or coauthored by Yuri Tschinkel include:

  • Equivariant Burnside groups and representation theory, 2022, Selecta Mathematica
  • Equivariant birational types and Burnside volume, 2021, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  • Rationality of complete intersections of two quadrics over nonclosed fields, 2021, L'Enseignement Mathématique
  • Equivariant birational types and Burnside volume, 2020, arXiv (Cornell University)
  • Equivariant birational geometry and modular symbols, 2021, Journal of the European Mathematical Society

Their collaborations include frequent coauthorship with several fellow mathematicians such as Andrew Kresch, Brendan Hassett, Zhijia Zhang, Ivan Cheltsov, and Christian Böhning. These partnerships have contributed to a substantial portion of their research output.

Yuri Tschinkel is also an author of book publications, including the "Martin Kneser Collected Works" published in 2021 by Contemporary Mathematicians/Contemporary Mathematicians.

Recognition for their work includes election as a Fellow of the American Mathematical Society in 2013 and as a Fellow of the American Association for the Advancement of Science in 2014.

Best Publications

  • Rational points of bounded height on Fano varieties

    Jens Franke;Jens Franke;Yuri I. Manin;Yuri Tschinkel

  • Manin's conjecture for toric varieties

    Victor V. Batyrev;Yuri Tschinkel

  • ON THE DISTRIBUTION OF POINTS OF BOUNDED HEIGHT ON EQUIVARIANT COMPACTIFICATIONS OF VECTOR GROUPS

    Antoine Chambert-Loir;Yuri Tschinkel

  • Density of rational points on elliptic K3 surfaces

    Fedor Bogomolov;Yuri Tschinkel

  • Tamagawa numbers of polarized algebraic varieties

    Victor V. Batyrev;Yuri Tschinkel

  • IGUSA INTEGRALS AND VOLUME ASYMPTOTICS IN ANALYTIC AND ADELIC GEOMETRY

    Antoine Chambert-Loir;Yuri Tschinkel

  • Rational curves on holomorphic symplectic fourfolds

    Brendan Hassett;Yuri Tschinkel

  • Trends in Mathematics

    Ralph Meyer;Thomas Schick;Yuri Tschinkel

  • Moving and ample cones of holomorphic symplectic fourfolds

    Brendan Hassett;Yuri Tschinkel

  • Rational points on some Fano cubic bundles

    Victor V. Batyrev;Yuri Tschinkel

  • Geometry of equivariant compactifications of Gan

    Brendan Hassett;Yuri Tschinkel

  • Rational points on quartics

    Joe Harris;Yuri Tschinkel

  • Rational Points of Bounded Height on Compactifications of Anisotropic Tori

    Victor V. Batyrev;Yuri Tschinkel

  • Stable rationality of quadric surface bundles over surfaces

    Brendan Hassett;Alena Pirutka;Yuri Tschinkel

  • Specialization of birational types

    Maxim Kontsevich;Yuri Tschinkel

  • ABELIAN FIBRATIONS AND RATIONAL POINTS ON SYMMETRIC PRODUCTS

    Brendan Hassett;Brendan Hassett;Yuri Tschinkel

  • Height zeta functions of toric varieties

    V. Batyrev;Yu. Tschinkel

  • Stable rationality and conic bundles

    Brendan Hassett;Brendan Hassett;Andrew Kresch;Yuri Tschinkel

  • Weak approximation over function fields

    Brendan Hassett;Yuri Tschinkel

  • Intersection Numbers of Extremal Rays on Holomorphic Symplectic Varieties

    Brendan Hassett;Yuri Tschinkel

  • Arithmetic of higher-dimensional algebraic varieties

    Bjorn Poonen;Yuri Tschinkel

  • Birational geometry, rational curves, and arithmetic

    Fedor Bogomolov;Yuri Tschinkel;Brendan Hassett

  • Geometry of equivariant compactifications of $G^n_a$

    Brendan Hassett;Yuri Tschinkel

  • Trends in mathematics: Mathematisches Institut, Georg-August-Universität, Göttingen, Courant-Colloquium, October 2007

    Ralf Meyer;Thomas Schick;Yuri Tschinkel

Frequent Co-Authors

Brendan Hassett
Brendan Hassett Brown University
Maxim Kontsevich
Maxim Kontsevich Institut des Hautes Études Scientifiques
Thomas Schick
Thomas Schick University of Göttingen
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
Joe Harris
Joe Harris Harvard University
Arnaud Beauville
Arnaud Beauville Université Côte d'Azur
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Stephen S. Kudla
Stephen S. Kudla University of Toronto

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