Research

My research interest is currently the structure of tracial von Neumann algebras. In the past I have also worked in operations research and in combinatorics.

Publications

1. Gao, D., Kunnawalkam Elayavalli, S., Patchell, G., & Tan, H. (2024). Internal sequential commutation and single generation. arXiv preprint arXiv:2404.12380.

2. Gao, D., Kunnawalkam Elayavalli, S., Patchell, G., & Tan, H. (2024). On conjugacy and perturbation of subalgebras. arXiv preprint arXiv:2403.08072. 

3. Gao, D., Kunnawalkam Elayavalli, S., & Patchell, G. (2024). Soficity for Group Actions on Sets and Applications. arXiv preprint arXiv:2401.04945.

4. Kunnawalkam Elayavalli, S., & Patchell, G. (2023). Sequential Commutation in Tracial von Neumann Algebras. arXiv preprint arXiv:2311.06392.

5. Patchell, G. (2023). Primeness of Generalized Wreath Product II1 Factors. arXiv preprint arXiv:2305.07841.

6. Patchell, G., & Spiro, S. (2022). The Maximum Number of Appearances of a Word in a Grid. The American Mathematical Monthly, 129(5), 415-434.

7. Wesolkowski, S., Patchell, G., & Dwarkan, A. (2018). Computing a Multi-location Aircraft Fleet Mix. In ICORES (pp. 124-131).

Talks and Seminars

These are given in approximately reverse chronological order; if the year is omitted, I gave multiple talks over multiple years.

1. (UVA, 2024) Operator Theory Seminar

2. (UCSD) Functional Analysis Seminar

3. (ASU, 2023) C*-Seminar

4. (Purdue, 2023) Groundwork in Operator Algebras Lecture Series (GOALS) Expository Speaker

5. (Purdue, 2023) East Coast Operator Algebras Symposium (ECOAS)

6. (Fields Institute, 2023) Workshop on Operator Algebras and Applications: Groups and Group Actions 

7. (UIowa, 2023) Workshop Series in von Neumann Algebras and Geometric Group Theory 

8. (UCSD) Food for Thought Seminar

9. (UCSD) Student Workshop in Algebra, Number Theory, and Algebraic Geometry

10. (UWaterloo, 2019) Model Theory of C*-Algebras Seminar

11. (USaskatchewan, 2018) Canadian Undergraduate Mathematics Conference