Publications

Research Interests:

Operator algebras (von Neumann algebras and C*-algebras)

Group theory (representation and geometric aspects)

Ergodic theory (orbit equivalence and measured group theory)

Logic (continuous model theory)

Grants:

My research is currently supported by the NSF grants: DMS-2154637 and FRG DMS-1854194. 


Publications/Preprints:

[40] Rigidity results for group von Neumann algebras with diffuse center (pdf) with Adriana Fernandez Quero, and Hui Tan.

Preprint 2024.

[39] Wreath-like product groups and their von Neumann algebras III: Embeddings (pdf) with Adrian Ioana, Denis Osin and Bin Sun.

Preprint 2024.

[38] Quasinormalizers in crossed products of von Neumann algebras (pdf) with Jon Bannon, Jan Cameron, Kunal Mukherjee, Roger Smith and Alan Wiggins.

Advances in Mathematics 443 (2024), Paper No. 109535, 60 pp.

[37] Wreath-like product groups and their von Neumann algebras II: Outer automorphisms (pdf) with Adrian Ioana, Denis Osin and Bin Sun.

Preprint 2023.

[36] Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces (pdf) with Adrian Ioana, Denis Osin and Bin Sun.

Preprint 2023.

[35] Wreath-like product groups and their von Neumann algebras I: W*-superrigidity (pdf, article) with Adrian Ioana, Denis Osin and Bin Sun.

Annals of Mathematics 198 (2023), no. 3, 1261-1303.

[34] Rigidity for von Neumann algebras of graph product groups. II. Superrigidity results (pdf) with Michael Davis and Daniel Drimbe.

Journal of the Institute of Mathematics of Jussieu.

[33] Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms (pdf) with Michael Davis and Daniel Drimbe.

Analysis and PDE.

[32] An exotic II1 factor without property Gamma (pdf, article) with Adrian Ioana and Srivatsav Kunnawalkam Elayavalli.

Geometric and Functional Analysis 33 (2023), 243-1265.

[31] Tensor product indecomposability results for existentially closed II1 factors (pdf) with Daniel Drimbe and Adrian Ioana.

Model Theory and Operator Algebras,  Volume 11 in De Gruyter series in Logic and its Applications, 43-82.

[30] Invariant subalgebras of von Neumann algebras arising from negatively curved groups (pdf, article) with Sayan Das and Bin Sun.

Journal of Functional Analysis 285 (2023), no. 9, 110098, 25pp.

[29] Embedding universality for II1 factors with property (T) (pdf, article) with Daniel Drimbe and Adrian Ioana.

Advances in Mathematics 417 (2023), Paper no. 108934, 24pp.

[28] Wreath-like product groups and rigidity of their von Neumann algebras (pdf) with Adrian Ioana, Denis Osin and Bin Sun.

Preprint 2021.

[27] W* and C*-superrigidity results for coinduced groups (pdf, article) with Alec Diaz-Arias and Daniel Drimbe.

Journal of Functional Analysis 284 (2023), no. 1, 109730.

[26] Cartan subalgebras in von Neumann algebras associated with graph product groups (pdf), with Srivatsav Kunnawalkam Elayavalli.

Groups, Geometry, and Dynamics, (2023), 1-11.  

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

Advances in Mathematics 412 (2023), Paper no. 108797, 57pp.

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

American Journal of Mathematics 146 (2024), no. 2, 435-465.

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

Analysis and PDE 16 (2023) no. 2, 433-476. 

[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), no.7, 108419.

[20] A remark on the ultrapower algebra of the hyperfinite 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 Sucpikarnon.

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





Collaborators: