World's Best Scientists 2026 revealed!

Overview

Michael Kapovich is affiliated with the University of California, Davis in the United States. Their research primarily spans the field of Mathematics, with a significant focus on several subfields including Mathematical Physics, Geometry and Topology, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Applied Mathematics.

Their work covers multiple main topics, highlighting interests in:

  • Geometric and Algebraic Topology
  • Mathematical Dynamics and Fractals
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topology and Set Theory
  • Advanced Combinatorial Mathematics
  • Geometric Analysis and Curvature Flows
  • Advanced Operator Algebra Research

Among recent research contributions, Michael Kapovich has authored or co-authored several papers, including:

  • "Patterson-Sullivan theory for Anosov subgroups," 2022, published in Transactions of the American Mathematical Society
  • "Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)," 2023, published in Groups Geometry and Dynamics
  • "On superintegral Kleinian sphere packings, bugs, and arithmetic groups," 2023, published in Journal für die reine und angewandte Mathematik (Crelles Journal)
  • "Klein-Maskit combination theorem for Anosov subgroups: free products," 2023, published in Mathematische Zeitschrift
  • "STRUCTURAL STABILITY OF MEANDERING-HYPERBOLIC GROUP ACTIONS," 2022, published in Journal of the Institute of Mathematics of Jussieu

Michael Kapovich has also contributed to book literature with the publication of Trees of Hyperbolic Spaces in 2024 under the Mathematical surveys and monographs series.

Frequent collaborators in their research work include:

  • Bernhard Leeb
  • Subhadip Dey
  • Alex Kontorovich
  • Pranab Sardar

Their work appears regularly in prestigious venues, with multiple publications in the following journals and series:

  • arXiv (Cornell University)
  • São Paulo Journal of Mathematical Sciences
  • Contemporary mathematics - American Mathematical Society
  • Transactions of the American Mathematical Society
  • Journal für die reine und angewandte Mathematik (Crelles Journal)

Best Publications

  • Hyperbolic Manifolds and Discrete Groups

    Michael Kapovich

  • The symplectic geometry of polygons in Euclidean space

    Michael Kapovich;John J. Millson

  • On the moduli space of polygons in the Euclidean plane

    Michael Kapovich;John Millson

  • The monodromy groups of Schwarzian equations on closed Riemann surfaces

    Daniel Gallo;Michael Kapovich;Albert Marden

  • Hyperbolic groups with low-dimensional boundary

    Michael Kapovich;Bruce Kleiner

  • Geometric Group Theory

    Cornelia Druţu;Michael Kapovich

  • 3-manifold Groups and Nonpositive Curvature

    M. Kapovich;B. Leeb

  • On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds

    M. Kapovich;B. Leeb

  • Universality theorems for configuration spaces of planar linkages

    Michael Kapovich;John J. Millson

  • Quasi-isometries preserve the geometric decomposition of Haken manifolds

    Michael Kapovich;Bernhard Leeb

  • Anosov subgroups: dynamical and geometric characterizations

    Michael Kapovich;Bernhard Leeb;Joan Porti

  • On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties

    Michael Kapovich;John J. Millson

  • Actions of discrete groups on nonpositively curved spaces

    Michael Kapovich;Bernhard Leeb

  • Morse actions of discrete groups on symmetric space

    Michael Kapovich;Bernhard Leeb;Joan Porti

  • A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings

    Michael Kapovich;Bernhard Leeb;Joan Porti

  • Complex hyperbolic manifolds homotopy equivalent to a Riemann surface

    William M. Goldman;Michael Kapovich;Bernhard Leeb

  • Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity

    Michael Kapovich;Bernhard Leeb;John Millson

  • A path model for geodesics in Euclidean buildings and its applications to representation theory

    Michael Kapovich;John J. Millson

  • Convex projective structures on Gromov–Thurston manifolds

    Michael Kapovich

  • Van Kampen's embedding obstruction for discrete groups

    Mladen Bestvina;Michael Kapovich;Bruce Kleiner

Frequent Co-Authors

Bruce Kleiner
Bruce Kleiner Courant Institute of Mathematical Sciences
Mladen Bestvina
Mladen Bestvina University of Utah
János Kollár
János Kollár Princeton University
William M. Goldman
William M. Goldman University of Maryland, College Park

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