Andrey Bryutkin

Math PhD student at MIT

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MIT Mathematics

182 Memorial Dr

Cambridge, MA 02139

I am Andrey, a PhD student in Applied Mathematics at MIT, where I work at the intersection of uncertainty quantification (UQ), dynamical linear systems, and structure-exploiting Bayesian inference.

My current research focuses on:

  • UQ for linear dynamical systems and their parameter reduction,
  • Developing interpretable inference frameworks,
  • Leveraging physical principles, such as equivariance and symmetries,
  • Exploring UQ in deep learning, particularly in sampling and physical neural networks.

I am excited by questions that combine rigorous mathematics with physics-inspired models, and I enjoy designing inference and sampling methods that are not only accurate but also interpretable and structurally meaningful.

Before coming to MIT, I studied theoretical physics at ETH Zurich, where I explored representation theory in conformal field theory (CFT). I then completed my Master’s (Part III) at the University of Cambridge, specializing in probability and statistics and working on novel neural operator architectures for scientific modeling.

Outside of research, you’ll often find me on the court playing squash or tennis

selected publications

  1. HAMLET: Graph Transformer Neural Operator for Partial Differential Equations
    Andrey Bryutkin, Jiahao Huang, Zhongying Deng, and 3 more authors
    In Proceedings of the 41st International Conference on Machine Learning, 2024
  2. Canonical Bayesian Linear System Identification
    Andrey Bryutkin, Matthew E. Levine, Iñigo Urteaga, and 1 more author
    2025
  3. Neural Triangular Transport Maps: A New Approach Towards Sampling in Lattice QCD
    Andrey Bryutkin and Youssef Marzouk
    2025