Greg Patchell

Publications

1. Some remarks on decay in countable groups and amalgamated free products (with S. Kunnawalkam Elayavalli and Lizzy Teryoshin). Preprint. September 2025.

2. 3-handle construction on II1 factors (with D. Gao and S. Kunnawalkam Elayavalli). Preprint. Proc. Amer. Math. Soc., accepted (2025).

3. Strict comparison in reduced group C*-algebras (with T. Amrutam, D. Gao, and S. Kunnawalkam Elayavalli). Preprint. Invent. Math., accepted (2025).

4. Simplices of maximally amenable extensions in II1 factors (with S. Kunnawalkam Elayavalli). Preprint. Groups Geom. Dyn., accepted (2025).

5. Sofic actions on graphs (with D. Gao and S. Kunnawalkam Elayavalli). Preprint. September 2024.

6. Internal sequential commutation and single generation (with D. Gao, S. Kunnawalkam Elayavalli, and H. Tan). Int. Math. Res. Not., 2025, 8 (2025), rnaf103. (arXiv)

7. Soficity for group actions on sets and applications (with D. Gao and S. Kunnawalkam Elayavalli). Res. Math. Sci., 12, 3 (2025), Paper No. 48. (arXiv)

8. On conjugacy and perturbation of subalgebras (with D. Gao, S. Kunnawalkam Elayavalli, and H. Tan). J. Noncommut. Geom., (2025), published online first. (arXiv)

9. Primeness of generalized wreath product II1 factors. Math. Z., 309, 43 (2025). (arXiv)

10. Sequential commutation in tracial von Neumann algebras (with S. Kunnawalkam Elayavalli). J. Funct. Anal., 288, 4 (2025), 110719. (arXiv)

11. The maximum number of appearances of a word in a grid (with S. Spiro). Amer. Math. Monthly, 129, 5 (2022), 415-434. (arXiv)

12. Computing a multi-location aircraft fleet mix (with S. Wesolkowski and A. Dwarkan). In ICORES (2018), 124-131.