Srivatsav Kunnawalkam Elayavalli

Assistant Professor
University of Maryland, College Park

sriva(at)umd(dot)edu (UMD)

Publications

1. Some remarks on decay in countable groups and amalgamated free products (with G. Patchell and L. Teryoshin). September 2025.

2. Selfless reduced free product C*-algebras (with B. Hayes and L. Robert). May 2025.

3. Negative resolution to the C*-algebraic Tarski problem (with C. Schafhauser). March 2025. 

4. General solidity phenomena and anticoarse spaces for type III_1 factors (with B. Hayes, D. Jekel, B. Nelson with an appendix by S. Vaes). Preprint. September 2024.

5. Sofic actions on graphs (with D. Gao and G. Patchell). Preprint. September 2024.  

6. 3-handle construction on II_1 factors (with D. Gao and G. Patchell). April 2025.
   Proc. Amer. Math. Soc., to appear.

7. On soficity for certain fundamental groups of graphs of groups (with D. Gao and M. Mj). Preprint. August 2024.
   J. Top. Anal., to appear.

8. Strict comparison in reduced group C*-algebras (with T. Amrutam, D. Gao and G. Patchell). Preprint. December 2024.
   Invent. Math., to appear.

9. Upgraded free independence phenomena for random unitaries (with D. Jekel). Preprint. May 2024.
   Trans. Amer. Math. Soc., to appear.

10. Simplices of maximally amenable extensions in II_1 factors (with G. Patchell). Preprint. October 2024.
    Groups Geom. Dyn., to appear.

11. Strong 1-boundedness, L^2-Betti numbers, algebraic soficity, and graph products  (with AIM Square team). Preprint. May 2023.
    Kyoto J. Math., to appear.

12. On the structure of graph product von Neumann algebras (with AIM Square team). Preprint. April 2024.
    Publ. Res. Inst. Math. Sci., to appear.

13. On conjugacy and perturbation of subalgebras (with D. Gao and G. Patchell and H. Tan).
    J. Noncommut. Geom., to appear.

14. Soficity for group actions on sets and applications (with D. Gao and G. Patchell). Preprint. January 2024. 
    Res. Math. Sci., to appear.

15. Random permutation matrix models for graph products (with AIM Square team).
    Doc. Math., to appear.

16. Property T and strong 1-boundedness for von Neumann algebras (with B. Hayes and D. Jekel). Preprint. July 2021.
    J. Inst. Math. Jussieu., to appear.

17. Consequences of the random matrix solution to the Peterson-Thom conjecture (with B. Hayes and D. Jekel).
    Anal. PDE., 18, 7, (2025) 1805–1834.

18. Uniformly super McDuff II_1 factors (with I. Goldbring, D. Jekel and J. Pi).
    Math. Ann., 391, 2757–2781, (2025).

19. Finite index subfactors of super McDuff II_1 factors (with D. Gao). February 2025.
    J. Log. Anal., 17, 5, (2025) 1–8.

20. Internal sequential commutation and single generation (with D. Gao and G. Patchell and H. Tan). Preprint. April 2024.
    Int. Math. Res. Not. IMRN, (2025) 8 2025.

21. Approximate homomorphisms and sofic approximations of orbit equivalence relations (with B. Hayes).  
    Ergodic Theory Dynam. Systems. 44 (2024), 3455–3480.

22. On sofic approximations of non amenable groups (with B. Hayes).
    Math. Z. 307, 38 (2024).

23. Sequential commutation in tracial von Neumann algebras (with G. Patchell).
    J. Funct. Anal. 288, (4) (2025).

24. Hyperfiniteness for group actions on trees (with K. Oyakawa, F. Shinko and P. Spaas).
    Proc. Amer. Math. Soc. 152 (2024), no. 9, 3657–3664.

25. Proper proximality for various families of groups (with C. Ding).
    Groups Geom. Dyn. 18 (2024), 921–938.

26. On the structure of relatively biexact group von Neumann algebras  (with C. Ding).
    Comm. Math. Phys., 405, 104 (2024).

27. Cartan subalgebras in von Neumann algebras associated to graph product groups (with I. Chifan).
    Groups Geom. Dyn. 18 (2024), no. 2, 749–759

28. Vanishing first cohomology and strong 1-boundedness for von Neumann algebras (with B. Hayes and D. Jekel).
    J. Noncommut. Geom. 18 (2024), 383–409.

29. Properly proximal von Neumann algebras (with C. Ding and J. Peterson).
    Duke Math. J. (2023) 172(15):2821-2894.

30. Remarks on the diagonal embedding and strong 1-boundedness.
    Doc. Math. (2023) 28, no. 3, pp. 671–681.

31. Generic algebraic properties in spaces of enumerated groups (with I. Goldbring and Y. Lodha).
    Trans. Amer. Math. Soc. (2023) 376, 6245-6282.

32. An exotic II_1 factor without property Gamma (with I. Chifan and A. Ioana).
    Geom. Funct. Anal. (2023) 33, 1243–1265. 

33. Factorial relative commutants and the generalized Jung property for II_1 factors (with S. Atkinson and I. Goldbring).
    Adv. Math. (2022) 396, Paper No. 108107, 53 pp.

34. On ultraproduct embeddings and amenability for tracial von Neumann algebras (with S. Atkinson).
    Int. Math. Res. Not. IMRN (2021) 4, 2882–2918.

35. Free entropy theory and rigid von Neumann algebras.
    PhD Thesis, Vanderbilt University (2022 May).

Research: I work on matters related to von Neumann algebras, C*-algebras, operator systems/spaces/bimodules, random matrix theory, free probability, continuous model theory, combinatorial and geometric group theory, analysis on groups and l^2 invariants, measured group theory, ergodic theory and dynamical systems, and descriptive set theory. A unifying theme in my work is a synthesis of qualitative and quantitative aspects of finitary approximations. 

``Time spent flying is not deducted from your lifespan.''

Miscellaneous

1. Sofic approximations of countable groups via graphs. January 2020. 

2. A remark on inclusions with factorial commutants. February 2023. 

3. Remarks on conjugacy classes of Haar unitaries (with D. Gao, G. Patchell and H. Tan). February 2024 (request me for pdf). 

4. A note on the Balachander Bani. English version. Tamil version (translated with the help of my parents). March 2024.

5. The life of a postdoctoral scholar in mathematics. English version. April 2024.

6. W. C. Thiruvengadam 6/9/1935 - 8/28/2017. English version. May 2024.

7. Imposter syndrome. English version. June 2025.