William H. W. Thompson

Affiliations. PhD student in Complex Systems and Data Science at the Vermont Complex Systems Center

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about me

I am Will Thompson, a PhD student in Complex Systems and Data Science at the Vermont Complex Systems Center. I work in the Joint Lab, where I am fortunate to be advised by Jean-Gabriel Young and Laurent Hébert-Dufresne.

I received a B.A. in the Liberal Arts from St. John’s College in Santa Fe, NM (May 2020). Afterward, I joined the Modeling and Analysis Innovation Center at the MITRE Corporation. I later worked as a post-bac researcher at Los Alamos National Laboratory on Coherent CAPTAIN-Mills, a sub-GeV dark-matter detector.

research

My research centers on how things spread on networks: biological contagions on contact networks, memes on social media, or activation patterns in neural networks. I build statistical models that bridge theory and data.

I am interested in deep connections among network dynamics, learning & inference theory, and statistical physics. By understanding how these fields relate and exploiting connections between them, I hope to develop not only better tools but a better understanding of complex systems in general.

news

Dec 15, 2024 I presented a poster at Dynamics Days 2025 in Denver, CO.
The poster, “Sensitivity of Epidemic Forecasts with Statistical Condition Estimation for Probability Generating Functions,” is available here:
Poster PDF.
Oct 20, 2024 Excited to announce our paper, led by Nicholas Landry, Reconstructing networks from simple and complex contagions in Physical Review E. Check out the code and data at GitHub
Sep 20, 2024 I used the method of characteristics to solve a higher order voter model. Check out the slides: Slides
Jun 15, 2024 I presented (with co-authors) “Inferring Interaction Kernels in Stochastic Opinion Dynamics Models” at NetSci 2024 in Québec City, QC.
Slides are now available.
Jan 10, 2024 I presented (with T. Gebhart, L. Huynh, V. Modisette, M. Tian, A. Wiedemann, P. Chodrow, and H. Z. Brooks) “Inferring Interaction Kernels for Stochastic Agent-Based Opinion Dynamics” at the Joint Mathematics Meetings in San Francisco, CA.
Dec 15, 2023 I spoke at Dynamics Days 2024 in Davis, CA.
My presentation was “Understanding Polarization in the Higher-Order Non-Linear Voter Model.”
Slides are posted.

selected publications

  1. Reconstructing Networks from Simple and Complex Contagions
    Nicholas W. Landry, William Thompson, Laurent Hébert-Dufresne, and 1 more author
  2. Levy Flights of the Collective Imagination
    William H. W. Thompson, Zachary Wojtowicz, and Simon DeDeo