Florian Schäfer

S1317 CODA
756 W Peachtree St
Atlanta, GA 30332
I’m Florian Schäfer, assistant professor in the School of Computational Science and Engineering at Georgia Tech.
Prior to joining Georgia Tech, I received my PhD in applied and computational mathematics at Caltech, working with Houman Owhadi. Before that, I received my Bachelor’s and Master’s degrees in Mathematics at the University of Bonn.
My research interests lie at the interface of numerical computation, statistical inference, and competitive games. With my students and collaborators, I have developed state-of-the-art solvers for elliptic PDEs by relating Gaussian elimination to conditional independence, efficient algorithms for multi-agent optimization, and information geometric regularization, the first inviscid regularization of compressible fluid dynamics.
My work has found applications in materials science, turbulence modeling, computer graphics, and computational geometry. Most recently, it has enabled the first compressible fluid simulation to exceed 100 trillion grid cells.
My current research focus is on developing information geometric mechanics that uses the statistical physical underpinnings of continuum mechanics to design structure preserving numerical methods at the macroscale.
I am currently hiring PhD students in this topic. Please have a look here to get an idea. If you have a strong background in computational mathematics, reach out!
news
Oct 20, 2024 | I am attending SIAM MDS this week here in Atlanta. Andreas Robertson and I are organizing a minisymposium on (higher order) stochastic models in materials science and spatial statistics. Also check out the presentations by Stephen, Qi, Christian, and Shreya! |
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Oct 14, 2024 | I gave a talk in the Level-Set Seminar at UCLA on information geometric mechanics. |
Sep 20, 2024 | Joint work with Jessie Liu, Spencer Bryngelson, Tamer Zaki, and Ali Mani on targeted data-driven closure modeling published in Physical Review Fluids. |
Sep 16, 2024 | I gave a talk in the PSU-Purdue-UMD Joint Seminar on Mathematical Data Science on information geometric mechanics. Thanks to John Harlim for inviting me! |
Aug 15, 2024 | New paper connecting Möbius inversion to bootstrap bias correction now on the arxiv! It derives new nonasymptotic bounds on bootstrap bias correction by understanding the combinatorial properties of the resampling operator. |
selected publications
- Sparse recovery of elliptic solvers from matrix-vector productsSIAM Journal on Scientific Computing, 2024
- Sparse Cholesky factorization by Kullback-Leibler minimizationSIAM Journal on Scientific Computing, 2021