Lisa Sauermann

I am currently a member of the Computer Science and Discrete Mathematics group at the Institute for Advanced Study (IAS).

My main research interests are extremal and probabilistic combinatorics.

I received my PhD in mathematics from Stanford University in Spring 2019. My PhD advisor was Jacob Fox. During the academic year 2019/2020, I was a Szegő Assistant Professor at Stanford. Starting in summer 2021, I will be an Assistant Professor at MIT.

My research is supported by NSF Award DMS-2100157.

E-mail: lsauerma [@] mit [dot] edu

Publications and Preprints:

• L. Sauermann, Finding solutions with distinct variables to systems of linear equations over \mathbb{F}_p, preprint. (arxiv)
• S. Klee, B. Narayanan, and L. Sauermann, Sharp estimates for spanning trees, submitted. (arxiv)
• A. Ferber, M. Kwan, and L. Sauermann, List-decodability with large radius for Reed-Solomon codes, preprint. (arxiv)
• M. Kwan and L. Sauermann, On the permanent of a random symmetric matrix, submitted. (arxiv)
• L. Sauermann and Y. Wigderson, Polynomials that vanish to high order on most of the hypercube, submitted. (arxiv)
• M. Kwan, L. Sauermann, and Y. Zhao, Extension complexity of low-dimensional polytopes, submitted. (arxiv)
• A. Ferber, M. Kwan, and L. Sauermann, Singularity of sparse random matrices: simple proofs, Combinatorics, Probability and Computing, to appear. (arxiv)
• J. Fox, M. Kwan, and L. Sauermann, Combinatorial anti-concentration inequalities, with applications, Mathematical Proceedings of the Cambridge Philosophical Society, to appear. (arxiv)
• L. Sauermann, On the size of subsets of \mathbb{F}_p^n without p distinct elements summing to zero, Israel Journal of Mathematics, to appear. (arxiv)
• J. Fox, L. Sauermann, and F. Wei, On the inducibility problem for random Cayley graphs of abelian groups with a few deleted vertices, Random Structures and Algorithms, to appear. (arxiv)
• J. Fox, M. Kwan, and L. Sauermann, Anticoncentration for subgraph counts in random graphs, Annals of Probability 49 (2021), 1515-1553. (arxiv)
• L. Sauermann, On the speed of algebraically defined graph classes, Advances in Mathematics 380 (2021), Article 107593, 55 pp. (arxiv)
• M. Kwan and L. Sauermann, An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs, Discrete Analysis 2020:12, 34 pp. (arxiv)
• J. Fox and L. Sauermann, A completion of the proof of the Edge-statistics Conjecture, Advances in Combinatorics 2020:4, 52 pp. (arxiv)
• L. M. Lovász and L. Sauermann, A lower bound for the k-multicolored sum-free problem in \mathbb{Z}_m^n, Proceedings of the London Mathematical Society 119 (2019), 55-103. (arxiv)
• E. Bates and L. Sauermann, An upper bound on the size of avoidance couplings, Combinatorics, Probability and Computing 28 (2019), 325-334. (arxiv)
• L. Sauermann, A proof of a conjecture of Erdős, Faudree, Rousseau and Schelp on subgraphs of minimum degree k, Journal of Combinatorial Theory Series B 134 (2019), 36-75. (arxiv)
• J. Fox, L. M. Lovász, and L. Sauermann, A polynomial bound for the arithmetic k-cycle removal lemma in vector spaces, Journal of Combinatorial Theory Series A 160 (2018), 186-201. (arxiv)
• J. Fox and L. Sauermann, Erdős-Ginzburg-Ziv constants by avoiding three-term arithmetic progressions, Electronic Journal of Combinatorics 25 (2018), no. 2, Paper 2.14, 9 pp. (arxiv)
• L. Sauermann, On the \mu-admissible set in the extended affine Weyl groups of E_6 and E_7, Journal of Algebra 451 (2016), 526-543. (arxiv)
• C. Reiher and L. Sauermann, Nash-Williams' theorem on decomposing graphs into forests, Mathematika 60 (2014), 32-36. (arxiv)

Teaching at Stanford (2019/2020):

• Spring 2020: MATH 108 (Introduction to Combinatorics).
• Fall 2019: MATH 83N (Proofs and Modern Mathematics).
• Fall 2019: MATH 233A (Topics in Combinatorics: Algebraic Methods in Extremal Combinatorics).