Collaborators (in alphabetical order): Tattwamasi Amrutam, David Jekel, Marius Junge, Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor, Mahan Mj, Gregory Patchell, Hui Tan, Lizzy Teryoshin
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
Non-isomorphism of reduced free group C*-algebras. With Srivatsav Kunnawalkam Elayavalli. arXiv preprint (2026). arXiv:2602.09995
Exotic full factors via weakly coarse bimodules. With David Jekel, Srivatsav Kunnawalkam Elayavalli, and Gregory Patchell. arXiv preprint (2026). arXiv:2602.00930
Elementary embeddings into ultrapower II1 factors without a UCP lift. With David Jekel. arXiv preprint (2025). 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)
On soficity for certain fundamental groups of graphs of groups. With Srivatsav Kunnawalkam Elayavalli and Mahan Mj. Journal of Topology and Analysis, accepted. (2025). (arXiv: 2408.11724)
On conjugacy and perturbation of subalgebras. With Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, and Hui Tan. Journal of Noncommutative Geometry, published online first. (2025). (DOI: 10.4171/JNCG/627) (arXiv: 2403.08072)
Soficity for group actions on sets and applications. With Srivatsav Kunnawalkam Elayavalli and Gregory Patchell. Research in the Mathematical Sciences. vol. 12 (2025), 48. (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), e105. (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)
Sofic actions on graphs. With Srivatsav Kunnawalkam Elayavalli and Gregory Patchell. arXiv preprint (2024). arXiv: 2408.15470
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