Marc Aurèle Gilles
Assistant Professor · Department of Mathematics
Princeton University
I am an applied mathematician working in numerical linear algebra and computational imaging. I like developing theory, but I also care about concrete applications and building algorithms that work in practice.
I develop RECOVAR, an open-source software package for analyzing cryo-EM datasets. Click here for the IDeAS seminar.
I am on the academic job market.
gilles [at] princeton.edu · Fine Hall 212, Princeton University
News
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July 2026
Cryo-EM workshop at ICCP 2026 Summer School
I am helping Ellen Zhong's lab put together a cryo-EM reconstruction workshop for the ICCP 2026 Summer School. Materials are available in the tutorial repository, including an introductory homogeneous reconstruction notebook.
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June 2026
Computational problems from 3DEM GRC
Eric Verbeke and I attended a cryo-EM Gordon Research Conference and wrote a short note advertising some computational problems we found there.
Research
My recent research focuses on two main areas:
Cryogenic electron microscopy (cryo-EM). I develop algorithms for reconstructing the three-dimensional structures and motions of flexible proteins from millions of noisy 2D images. See [RECOVAR, PNAS, 2025].
Numerical linear algebra. I develop randomized algorithms for low-rank approximation and matrix factorization, especially for very large matrices. See [RPLU, arXiv, 2026].
Teaching
- Fall 2026 MAT 321: Numerical Analysis and Scientific Computing
- Spring 2026 Mathematics junior seminar: "Approximation Theory and Approximation Practice"
- Fall 2025 MAT 321: Numerical Analysis and Scientific Computing
- Spring 2025 MAT 204: Advanced Linear Algebra with Applications
- Fall 2024 MAT 321: Numerical Analysis and Scientific Computing
- Fall 2024 Mathematics junior seminar: "The top 10 algorithms of the 20th century"
- Spring 2023 MAT 321: Numerical Methods