Marc Aurèle Gilles
Photo of Marc Aurèle Gilles

Marc Aurèle Gilles

Assistant Professor · Department of Mathematics
Princeton University

I work in applied mathematics, with a focus on numerical linear algebra. My research spans numerical analysis, computational imaging, and applied statistics, with applications to microscopy, radar sensing, path planning, and augmented reality.

My recent work develops algorithms for cryogenic electron microscopy (cryo-EM). I built and maintain RECOVAR, a software tool for reconstructing flexible proteins from large and noisy cryo-EM datasets.

Google Scholar GitHub Curriculum Vitae

gilles [at] princeton.edu  ·  Fine Hall 212, Princeton University

Research

My research is mostly on one of two things:

Cryogenic electron microscopy (cryo-EM). Cryo-EM produces millions of noisy 2D projections of a molecule in random unknown orientations. I develop algorithms to reconstruct the 3D conformational heterogeneity of flexible proteins from such data. See [RECOVAR, PNAS, 2025].

Numerical linear algebra. Fast algorithms for linear algebra tasks such as low-rank approximation and matrix factorization, particularly via randomized methods. See [RPLU, arXiv, 2026].

I am always happy to learn about other mathematics or applications, feel free to reach out!

Teaching