Lily Reeves

I am an NSF Postdoctoral Fellow at the California Institute of Technology sponsored by Tom Hutchcroft. I received my PhD from Cornell University under the supervision of Philippe Sosoe in 2023. 

My research interests mostly lie in discrete probability, including critical and near-critical behavior of lattice models and interacting particle systems arising from fields such as physics and biology.

I am an organizer of the LA Probability Forum.

Publications and preprints:

• Diffusion-limited annihilating-coalescing systems, [arXiv]

With S. Ahn, M. Junge, H. Lyu, J. Richey, and D. Sivakoff. Preprint (2023).

• Arrivals are universal in coalescing ballistic annihilation, [arXiv]

With D. Cruzado Padró and M. Junge. Preprint (2022).

• A stochastic combustion model with thresholds on trees, [arXiv]

With M. Junge, Z. McDonald, and J. Pulla. Journal of Statistical Physics (2023).

• Non-universality in clustered ballistic annihilation, [arXiv]

With M. Junge, A. Ortiz San Miguel, and C. Rivera Sánchez. Electronic Communications in Probability (2023).

• Chase­-escape on the configuration model, [arXiv]

With E. Berstein, C. Hamblen, and M. Junge. Electronic Communications in Probability (2022).

• Three-­velocity coalescing ballistic annihilation, [arXiv]

With L. Benitez, M. Junge, H. Lyu, and M. Redman. Electronic Journal of Probability (2023).

• Equivalence of polychromatic arm probabilities on the square lattice, [arXiv]

With P. Sosoe. Preprint (2020).

• Modeling COVID­-19 spread in small colleges, [arXiv]

With R. Bahl, N. Eikmeier, A. Fraser, M. Junge, F. Keesing, and K. Nakahata. PLOS One (2021).

• An estimate for the radial chemical distance in 2d critical percolation clusters, [arXiv]

With P. Sosoe. Stochastic Process and Their Applications (2022). 

• Nature vs. nurture: dynamical evolution in disordered Ising ferromagnets, [arXiv]

With R. Gheissari, C. Newman, and D. Stein.  Chapter in Statistical Mechanics of Classical and Disordered Systems (2019).

Teaching:

I have TAed for probability (various versions for graduate and undergraduate, math and engineering), introduction to analysis, and linear algebra (various versions for math and engineering).

I have also been involved in the NYC Discrete Math REU in 2020--2023.

Other:

Besides math, I am a classically trained pianist. 

Link to my March 21, 2023 piano recital where I played works by Clara Schumann, Scriabin, and the complete Chopin Op. 28 preludes.