# Lisa Sauermann

I am a Szegő Assistant Professor in the Stanford Math Department.

I received my PhD in mathematics from Stanford in Spring 2019. My PhD advisor was Jacob Fox.

My main research interests are extremal and probabilistic combinatorics.

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

### Publications and Preprints:

- M. Kwan and L. Sauermann,
**An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs**, submitted. (arxiv)
- L. Sauermann,
**On the speed of algebraically defined graph classes**, submitted. (arxiv)
- J. Fox, M. Kwan, and L. Sauermann,
**Anticoncentration for subgraph counts in random graphs**, submitted. (arxiv)
- J. Fox, M. Kwan, and L. Sauermann,
**Combinatorial anti-concentration inequalities, with applications**, submitted. (arxiv)
- L. Sauermann,
**On the size of subsets of \mathbb{F}_p^n without p distinct elements summing to zero**, submitted. (arxiv)
- J. Fox, L. Sauermann, and F. Wei,
**On the inducibility problem for random Cayley graphs of abelian groups with a few deleted vertices**, submitted. (arxiv)
- J. Fox and L. Sauermann,
**A completion of the proof of the Edge-statistics Conjecture**, submitted. (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:

- Fall 2019: MATH 83N (Proofs and Modern Mathematics).
- Fall 2019: MATH 233A (Topics in Combinatorics: Algebraic Methods in Extremal Combinatorics).