Research Interests:

  • von Neumann algebras
  • C*-algebras
  • modern ergodic theory
  • representation and geometric aspects in group theory
  • continuous model theory
  • Grants:

  • My research is currently partially supported by the NSF grants DMS-1600688 and FRG DMS-1854194.
  • Publications/Preprints:

    [25] New examples of W* and C*-superrigid groups (pdf), with Alec Diaz-Arias and Daniel Drimbe.
    Preprint 2020.

    [24] Examples of property (T) II1 factors with trivial fundamental group (pdf), with Sayan Das, Cyril Houdayer and Krishnendu Khan.
    Preprint 2020.

    [23] Some applications of group theoretic Rips constructions to the classification of von Neumann algebras (pdf), with Sayan Das and Krishnendu Khan.
    Preprint 2019.

    [22] Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces (pdf, article), with Sayan Das.
    Mathematische Annalen 378 (2020), 907-950.

    [21] Some rigidity results for II1 factors arising from wreath products of property (T) groups (pdf, article), with Bogdan Udrea.
    Journal of Functional Analysis 278 (2020), 108419.

    [20] A remark on the ultrapower algebra of the hyperfnite factor (pdf, article), with Sayan Das.
    Proceedings of the American Mathematical Society 146 (2018), 5289-5294.

    [19] Tensor product decompositions of II1 factors arising from extensions of amalgamated free product groups (pdf, article), with Rolando de Santiago and Wanchalerm Suckpikarnon.
    Communications in Mathematical Physics 364 (2018), 1163-1194.

    [18] Amalgamated free product rigidity for group von Neumann algebras (pdf, article), with Adrian Ioana.
    Advances in Mathematics 329 (2018), 819-850.

    [17] II1 factors with non-isomorphic ultrapowers (pdf, article), with Remi Boutonnet and Adrian Ioana.
    Duke Mathematical Journal, 166 (2017), 2023-2051.

    [16] W*-rigidity for the von Neumann algebras of products of hyperbolic groups (pdf, article), with Rolando de Santiago and Thomas Sinclair.
    Geometric and Functional Analysis 26 (2016), 136-159.

    [15] Primeness results for von Neumann algebras associated with surface braid groups (pdf, article), with Yoshikata Kida and Sujan Pant.
    International Mathematics Research Notices, 16 (2016), 4807-4848.

    [14] Inner amenability for groups and central sequences in factors (pdf, article), with Thomas Sinclair and Bogdan Udrea.
    Ergodic Theory and Dynamical Systems 36 (2016), no. 4, 1106-1029.

    [13] OE and W* superrigidity results for actions by surface braid groups (pdf, article), with Yoshikata Kida.
    Proceedings of the London Mathematical Society 111 (2015), 1431-1470.

    [12] W*-superrigidity for arbitrary actions of central quotients of braid groups (pdf, article), with Adrian Ioana and Yoshikata Kida.
    Mathematische Annalen 361 (2015), 563-582.

    [11] On the ergodic theorem for affine actions on Hilbert space (pdf, article), with Thomas Sinclair.
    Bulletin of the Belgian Mathematical Society 22 (2015), no.3, 429-446.

    [10] On the structural theory of II1 factors of negatively curved groups, II. Actions by product groups (pdf, article), with Thomas Sinclair and Bogdan Udrea.
    Advances in Mathematics 245 (2013), 208-236.

    [9] On the structural theory of II1 factors of negatively curved groups (pdf), with Thomas Sinclair.
    Annales Scientifiques de l'École Normale Supérieure 46 fascicule 1 (2013), 1-34.

    [8] Some unique group measure space decomposition results (pdf, article), with Jesse Peterson.
    Duke Mathematical Journal 162 (2013), 1923-1966.

    [7] OE and W* rigidity results for actions by wreath product groups (pdf, article), with Sorin Popa and Owen Sizemore.
    Journal of Functional Analysis 263 (2012), 3422-3448.

    [6] On relative property (T) and Haagerup's property (pdf, article), with Adrian Ioana.
    Transactions of the American Mathematical Society 363 (2011), 6407-6420.

    [5] On a question of D. Shlyakhtenko (pdf, article), with Adrian Ioana.
    Proceedings of the American Mathematical Society 139 (2011), 1091-1093.

    [4] Bass-Serre rigidity results in von Neumann algebras (pdf, article), with Cyril Houdayer.
    Duke Mathematical Journal 153 (2010), 23-54.

    [3] Ergodic subequivalence relations induced by a Bernoulli action (pdf, article), with Adrian Ioana.
    Geometric and Functional Analysis 20 (2010), 53-67.

    [2] On the normalizing algebra of a MASA in II1 factor (pdf).
    submitted.

    [1] C* Estimates for averaging sums of elements in the Thompson group F (pdf), with Gabriel Picioroaga .
    Proceedings of OAMP Conference, Theta Series in Advanced Mathematics 8, Theta, Bucharest, 2008 , 41-51