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Alexander Dranishnikov

Alexander Dranishnikov

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Alexander Dranishnikov is affiliated with the University of Florida in the United States. Their research primarily focuses on mathematics, with significant work in geometry and topology, mathematical physics, computational theory and mathematics, algebra and number theory, and applied mathematics.

The scientist's research spans several main topics, including:

  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Advanced Operator Algebra Research
  • Advanced Topology and Set Theory
  • Algebraic structures and combinatorial models
  • Geometry and complex manifolds
  • Topological and Geometric Data Analysis

Alexander Dranishnikov has authored multiple recent papers, illustrating ongoing contributions to the field. Some recent works include:

  • On the LS-category of group homomorphisms, 2023, Mathematische Zeitschrift
  • An infinite-dimensional phenomenon in finite-dimensional metric topology, 2020, Cambridge Journal of Mathematics
  • Surgery approach to Rudyak's conjecture, 2021, Topology and its Applications
  • Evgenii Vital'evich Shchepin (on his 70th birthday), 2022, Russian Mathematical Surveys
  • On topological complexity of hyperbolic groups, 2020, Proceedings of the American Mathematical Society

The scientist frequently publishes in the following venues:

  • arXiv (Cornell University)
  • Topology and its Applications
  • Proceedings of the American Mathematical Society
  • Mathematische Zeitschrift
  • Cambridge Journal of Mathematics

Collaborations are notable with several co-authors who have contributed to Dranishnikov's research, including:

  • Nursultan Kuanyshov
  • Ekansh Jauhari
  • Виктор Иванович Буслаев
  • Victor Matveevich Buchstaber
  • Vitalii Mendelevich Kliatskin

Among recognitions, Alexander Dranishnikov was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Asymptotic topology

    A. N. Dranishnikov

  • Asymptotic Dimension

    G. Bell;A. Dranishnikov

  • Asymptotic dimension of discrete groups

    A. Dranishnikov;J. Smith

  • Every Coxeter group acts amenably on a compact space

    A. N. Dranishnikov;T. Januszkiewicz

  • Homological dimension theory

    A N Dranishnikov

  • On asymptotic dimension of groups

    G Bell;Alexander N Dranishnikov

  • COHOMOLOGICAL DIMENSION THEORY OF COMPACT METRIC SPACES

    A. N. Dranishnikov

  • On the Higson corona of uniformly contractible spaces

    A.N. Dranishnikov;J. Keesling;V.V. Uspenskij

  • On Asymptotic Dimension of Groups Acting on Trees

    G. Bell;A. Dranishnikov

  • A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory

    G. C. Bell;G. C. Bell;A. N. Dranishnikov

  • Universal spaces for asymptotic dimension

    A. Dranishnikov;M. Zarichnyi

  • Uniform Embeddings into Hilbert Space and a Question of Gromov

    A. N. Dranishnikov;G. Gong;V. Lafforgue;G. Yu

  • Large Riemannian manifolds which are flexible

    Alexander N. Dranishnikov;Steven C. Ferry;Shmuel Weinberger

  • On hypersphericity of manifolds with finite asymptotic dimension

    A. N. Dranishnikov

  • THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX

    A. N. Dranishnikov

  • ON THE BERSTEIN-SVARC THEOREM IN DIMENSION 2

    Alexander N. Dranishnikov;Yuli B. Rudyak

  • Extension theory of separable metrizable spaces with applications to dimension theory

    Alexander Dranishnikov;Jerzy Dydak

  • Asymptotic dimension in Bedlewo

    G. Bell;A. Dranishnikov

  • Small values of the Lusternik-Schnirelmann category for manifolds

    Alexander N Dranishnikov;Mikhail G Katz;Yuli B Rudyak

  • Embedding of hyperbolic groups into products of binary trees

    Sergei Buyalo;Alexander N. Dranishnikov;Viktor Schroeder

Frequent Co-Authors

Mark Sapir
Mark Sapir Vanderbilt University
Dušan Repovš
Dušan Repovš University of Ljubljana

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