Peter W. Hoffman

PhD student at MIT; interested in generative AI; currently building diffusion models and health applications

prof_pic.jpg

MIT LIDS, Building 45

Cambridge, MA 02139, US

Hello! I am a 2nd-year PhD student at MIT LIDS working with Pablo Parrilo and Gabriele Farina. I am interested in problems at the intersection of generative artificial intelligence, stochastic differential equations, and deep learning, particularly those related to diffusion models and high-performance computing.

I’m passionate about working on questions whose solutions expand humanity’s collective ability. Outside of my theoretical work, I’m passionate about public health; in the past I’ve built Triple, an analytics platform designed to improve preventive health measures, and am currently building Triple II to use AI to tailor traditional health insurance to the gig economy. I’ve also built AI chatbots in the past, such as LegalChat, which we designed to help bridge information asymmetry in legal contracts.

I am also very involved with teaching, both around MIT and otherwise. In the past, I’ve helped design and teach 6.S095, a student-run lecture series at MIT covering advanced problem-solving techniques in probability, random variables, and stochastic processes. I also frequently publish notes on a variety of topics, which you can find here.

Previously, I completed my undergraduate degree in Mathematics, also at MIT, where I worked with Prof. Pablo Parrilo on optimization algorithms. During my undergraduate years, I was a member of the MIT varsity sailing team and spent time as a quantitative researcher at Point72 and Citibank.

If I’m not writing math or code, you can probably find me painting, gardening with my family, or skiing with friends. Feel free to reach out at hoffmanp@mit.edu.  

selected publications and projects

  1. kans.jpg
    Kolmogorov–Arnold Networks: Representation and Architecture
    Peter W. Hoffman, Farrell E. Wu, and Petros Prastakos
    Working paper, 2025
  2. kans2.jpg
    Theory-Inspired Architecture for Kolmogorov-Arnold Networks
    Peter W. Hoffman
    Working paper, 2025
  3. ip.jpg
    An Integer Program Approach to Generating Proper Colorings of Non-Planar Graphs
    Peter W. Hoffman, Amy Hu, Shivani Konduru, and 1 more author
    MIT Math project, 2023
  4. nested.jpg
    Algorithmic Foundations of the Nested Sampling Algorithm
    Peter W. Hoffman
    Supervised by Prof. Peter Kempthorne, MIT Mathematics, 2023
  5. expander.jpg
    Expander Graphs and their Construction
    Peter W. Hoffman
    MIT Math project, 2023
  6. random.jpg
    Random Matrix Initialization Methods
    Peter W. Hoffman, Sage Simhon, Viktor Urvantsev, and 1 more author
    Supervised by Prof Gil Strang, MIT Mathematics, 2021