Stefan Steinerberger

I am Professor of Mathematics and Professor of Applied Mathematics at the University of Washington, Seattle. I am interested in a broad range of problems in pure and applied mathematics (and often at the interface).

[Full CV]

Preprints

• (with Francois Clement) An effective variant of the Hartigan k-means algorithm arxiv
• (with Adi Arbel and Ronen Talmon) Complex Interpolation of Matrices with an Application to Multi-Manifold Learning arxiv
• (with Anthony Bloch and Amir Sagiv) Slow dispersion in Floquet-Dirac Hamiltonians arxiv
• Buffon Discrepancy and the Steinhaus Longimeter arxiv
• (with Dan Guyer and Yirong Yang) An Efficient Triangulation of IRP^5 arxiv
• Distance Equilibrium Measures and Curvature in Metric Spaces, arxiv
• (with Francois Clement) Many critical points for discrete Riesz energy on T^2 arxiv
• (with Francois Clement) Balanced Stick Breaking arxiv
• (with Francois Clement) Robust Online Sampling from Possibly Moving Target Distributions arxiv
• (with Colominas and Wu) Time-Frequency Filtering Meets Graph Clustering, arxiv.
• Potential Theory and the Boundary of Combinatorial Graphs, arxiv
• (with Chowdhury and Thomas) Graphical Designs find Combinatorial Structures, arxiv
• (with Tony Zeng) A curious dynamical system in the plane arxiv
• (with Mariana Smit Vega Garcia) An Almgren monotonicity formula for discrete harmonic functions, arxiv

Some recent publications

• (with Gouveia and Thomas) Conformal Rigidity and Spectral Embeddings of Graphs arxiv, Annals of Combinatorics, accepted.
• A Stability Version of the Jones Opaque Set Inequality, arxiv, Discrete & Computational Geometry, accepted.
• Superpolynomial convergence in the Riemann Rearrangement Theorem, arxiv, Studia Mathematica, accepted.
• (with Francois Clement) On the largest singular vector of the Redheffer matrix arxiv, Linear Algebra and its Applications, 725 (2025), 96-114.
• (with Dmitriy Bilyk), Regularizing random variables by deleting a few arxiv, Journal of Geometric Analysis 35 (2025), 361.
• (with Jeck Lim) On differences of two harmonic numbers, arxiv, Mathematika 71 (2025), e70009.
• (with Thomas) Conformally rigid graphs, arxiv, Journal of Graph Theory 109 (2025), 366-386.
• (with Raghav Venkatraman), Dirichlet eigenfunctions with nonzero mean value, arxiv, Proc. Amer. Math. Soc. 153 (2025), 5195-5204.
• Random Growth via Gradient Flow Aggregation, arxiv, Journal of Applied Probability 62 (2025), 735-755.
• (with Bilyk, Chang, Heinävaara, Matzke) A random line intersects S^2 in two probabilistically independent locations, arxiv 35 (2025), 263.
• (with Ottolini) Greedy Matching in Optimal Transport with concave cost, arxiv, Annales Fennici Mathematici 50 (2025), 549 - 562.
• (with Babecki and Thomas) Spectrahedral Geometry of Graph Sparsifiers, arxiv, SIAM J. Discrete Math 39 (2025), 449 - 483.
• (with Bandeira and Mixon) A lower bound for the Balan-Jiang matrix problem, arxiv, ACHA 73 (2024), 101696
• A note on approximate Hadamard matrices arxiv, Designs, Code and Cryptography 92 (2024), 3125-3131.
• Sums of square roots that are close to an integer arxiv, J. Number Theory 262 (2024), 45-57.
• (with Ovall, Quan, Reid) On localization of eigenfunctions of the magnetic Laplacian, arxiv, Reports in Mathematical Physics 94 (2024), 235-257.
• (with Bilyk, Mastrianni), Single radius spherical cap discrepancy via gegenbadly approximable numbers arxiv, Advances in Mathematics, 452 (2024).
• (with Faulhuber) Maximal polarization for periodic configurations on the real line, arxiv, IMRN (2024), 7914-7943.
• (with Ottolini) Concentration of Hitting Times in Erdos-Renyi graphs, arxiv, Journal of Graph Theory 107 (2024), 245-262.
• (with Devriendt and Ottolini) Graph curvature via resistance distance, arxiv, Discrete Applied Mathematics 348 (2024), 68-78.
• Local sign changes of polynomials, arxiv, Journal d'Analyse Mathematique 154 (2024), 255-273.
• (with Shubham Gupta) Rearrangement Inequalities on the Lattice Graph, arxiv, Bull. London Math. Soc. 56 (2024), 3145-3163.
• Quadratic Crofton and sets that see themselves as little as possible, arxiv, Monatshefte Math. 204 (2024), 323-335.
• (with Hoskins and Quan) Magnetic Schrodinger operators and landscape functions, arxiv, Comm. PDE 49 (2024), 1-14.
• Discrete Rearrangements and the Polya-Szegő Inequality on Graphs, arxiv, Studia Mathematica 274 (2024), 269-286.
• (with Alaifari, Bartolucci, Wellershoff) On the connection between uniqueness from samples and stability in Gabor phase retrieval arxiv, Sampling Theory, Signal Processing, and Data Analysis 22 (2024).
• (with Andrea Ottolini) Guessing cards with complete feedback, arxiv, Adv. Appl. Math. 150 (2023), 102569.
• Some Remarks on the Erdős Distinct Subset Sums Problem, arxiv, Int. J. Number Theory 19 (2023), 1783-1800.
• Approximate Solutions of Linear Systems at a Universal Rate, arxiv, SIAM J. Matrix Analysis and Applications 44 (2023), 1436 - 1446.
• An Agmon estimate for Schrodinger operators on Graphs, arxiv, Lett. Math. Phys. 113 (2023)
• Sums of Distances on Graphs and Embeddings into Euclidean Space arxiv, Mathematika 69 (2023), 600-621.
• Curvature on Graphs via Equilibrium Measures arxiv, J. Graph Theory 103 (2023), 415-436.
• The Boundary of a Graph and its Isoperimetric Inequality arxiv, J. Discrete Applied Mathematics 338 (2023), 125-134.