Collaborators (in alphabetical order): Tattwamasi Amrutam, Adrian Ioana, David Jekel, Marius Junge, Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor, Mahan Mj, Gregory Patchell, Leonel Robert, Hui Tan, Lizzy Teryoshin, Itamar Vigdorovich
Publications:
On soficity for certain fundamental groups of graphs of groups. With Srivatsav Kunnawalkam Elayavalli and Mahan Mj. Journal of Topology and Analysis. vol. 19 (2027), no. 2, 217-227. (DOI: 10.1142/S1793525326500093) (arXiv: 2408.11724)
Toeplitz exactness for strong convergence. With Srivatsav Kunnawalkam Elayavalli. Journal of Operator Theory, in revision. (2026). (arXiv: 2604.14106)
Sofic actions on graphs. With Srivatsav Kunnawalkam Elayavalli and Gregory Patchell. Research in the Mathematical Sciences, in revision. (2026). (arXiv: 2408.15470)
On conjugacy and perturbation of subalgebras. With Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, and Hui Tan. Journal of Noncommutative Geometry. vol. 20 (2026), no. 4, 1341-1370. (DOI: 10.4171/JNCG/627) (arXiv: 2403.08072)
Non-isomorphism of reduced free group C*-algebras. With Srivatsav Kunnawalkam Elayavalli. Journal of Functional Analysis, in revision. (2026). (arXiv: 2602.09995)
Applications of ultraproduct methods in operator algebras. PhD thesis. Available at https://escholarship.org/uc/item/09m9n8pm
Elementary embeddings into ultrapower II1 factors without a UCP lift. With David Jekel. Journal of Logic and Analysis. vol. 18 (2026), no. 3, 1-13. (DOI: 10.4115/jla.2026.18.3) (arXiv: 2512.10129)
Strict comparison in reduced group C*-algebras. With Tattwamasi Amrutam, Srivatsav Kunnawalkam Elayavalli, and Gregory Patchell. Inventiones mathematicae. vol. 242 (2025), 639-657. (DOI: 10.1007/s00222-025-01366-5) (arXiv: 2412.06031)
3-handle construction on II1 factors. With Srivatsav Kunnawalkam Elayavalli and Gregory Patchell. Proceedings of the American Mathematical Society, accepted. (2025). (arXiv: 2504.02003)
Soficity for group actions on sets and applications. With Srivatsav Kunnawalkam Elayavalli and Gregory Patchell. Research in the Mathematical Sciences. vol. 12 (2025), no. 48, 1-18. (DOI: 10.1007/s40687-025-00526-6) (arXiv: 2401.04945)
Elementary equivalence and disintegration of tracial von Neumann algebras. With David Jekel. Forum of Mathematics, Sigma. vol. 13 (2025), no. e105, 1-38. (DOI: 10.1017/fms.2025.10066) (arXiv: 2410.05529)
All actions of LERF groups on sets are sofic. Groups, Geometry, and Dynamics, published online first. (2025). (DOI: 10.4171/GGD/905) (arXiv: 2402.17150)
On finite index subfactors of super McDuff II1 factors. With Srivatsav Kunnawalkam Elayavalli. Journal of Logic and Analysis. vol. 17 (2025), no. 5, 1-8. (DOI: 10.4115/jla.2025.17.5)
Internal sequential commutation and single generation. With Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, and Hui Tan. International Mathematics Research Notices. vol. 2025 (2025), no. 8, rnaf103. (DOI: 10.1093/imrn/rnaf103) (arXiv: 2404.12380)
Preprints:
Strongly converging unitary representations for extensions by exact groups. With Srivatsav Kunnawalkam Elayavalli and Mahan Mj. arXiv preprint (2026). arXiv: 2607.29571
Selfless C*-correspondences, operator valued C*-probability spaces and completely positive maps. With Marius Junge, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, and Leonel Robert. arXiv preprint (2026). arXiv: 2607.20361
Characters of surface groups. With Adrian Ioana and Itamar Vigdorovich. arXiv preprint (2026). arXiv: 2605.02242
Selfless reduced amalgamated free products and HNN extensions. With Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, and Lizzy Teryoshin. arXiv preprint (2026). arXiv: 2604.06982
A new source of purely finite matricial fields. With Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor, and Gregory Patchell. arXiv preprint (2026). arXiv: 2603.24502
Exotic full factors via weakly coarse bimodules. With David Jekel, Srivatsav Kunnawalkam Elayavalli, and Gregory Patchell. arXiv preprint (2026). arXiv: 2602.00930
On topics related to tensor products with abelian von Neumann algebras. arXiv preprint (2023). arXiv: 2306.02086
Relative embeddability of von Neumann algebras and amalgamated free products. With an appendix co-written with Marius Junge. arXiv preprint (2021). arXiv: 2012.07940