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Mathematics

D-Index
45
Citations
9762
World Ranking
1454
National Ranking
640

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2013 - Fellow of the American Academy of Arts and Sciences
  • 1995 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Sorin Popa is affiliated with the University of California, Los Angeles, in the United States. Their research primarily spans the field of Mathematics, with a focus on several subfields including Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Statistics and Probability, and Electronic, Optical and Magnetic Materials.

The main topics of their work include advanced studies in operator algebras, algebra, topology, and Banach space theory. Specifically, these topics are:

  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Banach Space Theory
  • Random Matrices and Applications

Sorin Popa has published extensively, with a total of 55 works in Mathematics. Their papers frequently appear in the following venues:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Journal of Operator Theory
  • Annales Scientifiques de l École Normale Supérieure
  • Lirias (KU Leuven)

Recent papers include:

  • "W*-Rigidity Paradigms for Embeddings of II₁ Factors" (2022, Communications in Mathematical Physics)
  • "On the vanishing cohomology problem for cocycle actions of groups on II₁ factors" (2021, Annales Scientifiques de l École Normale Supérieure)
  • "Classification of regular subalgebras of the hyperfinite II₁ factor" (2020, Lirias (KU Leuven))
  • "Coarse decomposition of II1 factors" (2021, Duke Mathematical Journal)
  • "On Ergodic Embeddings of Factors" (2020, Communications in Mathematical Physics)

Frequent coauthors include:

  • Stefaan Vaes
  • Patrick Hiatt
  • Dimitri Shlyakhtenko
  • Rémi Boutonnet
  • Daniel Drimbe

Sorin Popa has received several recognitions throughout their career, including:

  • Fellow of the American Mathematical Society, 2013
  • Fellow of the American Academy of Arts and Sciences, 2013
  • Fellow of John Simon Guggenheim Memorial Foundation, 1995

Best Publications

  • Entropy and index for subfactors

    Mihai Pimsner;Sorin Popa

  • On a class of type $II_1$ factors with Betti numbers invariants

    Sorin Popa

  • Strong rigidity of II1 factors arising from malleable actions of w-rigid groups, II

    Sorin Popa

  • On a class of II1 factors with at most one Cartan subalgebra

    Narutaka Ozawa;Sorin Popa

  • Classification of amenable subfactors of type II

    Sorin Popa

  • On the superrigidity of malleable actions with spectral gap

    Sorin Popa

  • An axiomatization of the lattice of higher relative commutants of a subfactor

    Sorin Popa

  • Deformation and rigidity for group actions and von Neumann algebras

    Sorin Popa

  • Cocycle and orbit equivalence superrigidity for malleable actions of w-rigid groups

    Sorin Popa

  • Classification of subfactors: the reduction to commuting squares.

    S. Popa

  • On a Problem of R.V. Kadison on Maximal Abelian *-Subalgebras in Factors.

    Sorin Popa

  • Maximal injective subalgebras in factors associated with free groups

    Sorin Popa

  • Amalgamated free products of weakly rigid factors and calculation of their symmetry groups

    Adrian Ioana;Jesse Peterson;Sorin Popa

  • A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras

    Masaki Izumi;Roberto Longo;Sorin Popa

  • Unique Cartan decomposition for II1 factors arising from arbitrary actions of free groups

    Sorin Popa;Stefaan Vaes

  • Markov traces on universal Jones algebras and subfactors of finite index.

    Sorin Popa

  • Some rigidity results for non-commutative Bernoulli shifts☆

    Sorin Popa

  • Classification of subfactors and their endomorphisms

    Sorin Popa

  • Iterating the basic construction

    Mihai Pimsner;Sorin Popa

  • Unique Cartan decomposition for II_1 factors arising from arbitrary actions of hyperbolic groups

    Sorin Popa;Stefaan Vaes

  • Amalgamated Free Products of $w$-Rigid Factors and Calculation of their Symmetry Groups

    A. Ioana;J. Peterson;S. Popa

Frequent Co-Authors

Stefaan Vaes
Stefaan Vaes KU Leuven
Matilde Marcolli
Matilde Marcolli California Institute of Technology
Roberto Longo
Roberto Longo University of Rome Tor Vergata
Roger Smith
Roger Smith University of Newcastle Australia
Vaughan F. R. Jones
Vaughan F. R. Jones Vanderbilt University

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