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Research

I study random graphs and interacting stochastic processes such as probabilistic cellular automata and interacting particle systems. In particular, I study processes whose interaction structure can be represented by a sparse network. I am interested in applications in epidemiology, neuroscience, and opinion dynamics. 

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My research combines methods from probability theory (including stochastic analysis, filtering, Markov chains, control theory), dynamical systems, statistical physics, graphical models, network science, and modeling. My goal is to gain a mathematically rigorous understanding of how global behaviors emerge from the structure of local interactions in realistic networks.

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QSIDE Pharmacy Refusal Lab

In addition to my main research on stochastic processes, I am part of a research team affiliated with the Institute for the Quantitative Study of Inclusion, Diversity, and Equity (QSIDE).

 

We are working on understanding the impact and extent of pharmacy prescription refusals. You can read more about this project here. If a pharmacist has refused to fill a prescription for you, please fill out this anonymous survey. 

Pharmacy Study Flyer.png

Publications and preprints

  • J. Cocomello and K. Ramanan.  Exact description of limiting SIR and SEIR dynamics on locally tree-like graphs. Preprint, arXiv:2309.08829 (2023)   

Talks and presentations

  • Exact description of limiting SEIR dynamics on locally tree-like graphs. Poster. Stochastic Networks Conference. KTH Royal Institute of Technology. Stockholm, Sweden. July 2024.

  • Exact description of limiting SEIR dynamics on locally-tree like graphs. Queer in Computational and Applied Mathematics (QCAM). ICERM. Providence, RI. June 2024.

  • Exact description of limiting SIR and SEIR dynamics on locally-tree like graphs. Spectra Mathematics Conference. September 2023.

  • Using Math to Understand Network Dynamics. Research Matters. Brown University. April 19, 2023. Watch a recording here.

  • Analyzing SIR epidemics on large sparse networks. Trans Day of Math. Dec 13 2022.

  • Predicting SIR epidemics on large random networks. Social Media and QSR Flash Session INFORMS Annual Meeting. Indianapolis, IN. Oct 16-19 2022.

  • Dynamics on Sparse and Heterogeneous Networks - Tutorial session. Led three 1-hour long tutorial sessions as part of Prof. Kavita Ramanan’s lecture series. Summer School: Mathematics of Large Networks.  ErdÅ‘s Center. Budapest, Hungary. May 30 - June 3, 2022. 

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