• C. Elsholtz, Z. Hunter, L. Proske, and L. Sauermann, Improving Behrend’s construction: Sets without arithmetic progressions in integers and over finite fields, submitted. (arxiv)
  • M. Kwan and L. Sauermann, Resolution of the quadratic Littlewood–Offord problem, submitted. (arxiv)
  • L. Sauermann and D. Zakharov, A sharp Ramsey theorem for ordered hypergraph matchings, submitted. (arxiv)
  • N. Alon, M. Bucić, L. Sauermann, D. Zakharov, and O. Zamir, Essentially tight bounds for rainbow cycles in proper edge-colourings, sumitted. (arxiv)
  • N. Alon, M. Bucić, and L. Sauermann, Unit and distinct distances in typical norms, submitted. (arxiv)
  • C. Pohoata, L. Sauermann, and D. Zakharov, Sharp bounds for rainbow matchings in hypergraphs, submitted. (arxiv)
  • L. Sauermann, On the probability of a Condorcet winner among a large number of alternatives, submitted. (arxiv)
  • L. Sauermann and D. Zakharov, On the Erdős-Ginzburg-Ziv Problem in large dimension, American Journal of Mathematics, to appear. (arxiv)
  • L. Sauermann and Z. Xu, Essential covers of the hypercube require many hyperplanes, Combinatorics, Probability and Computing, to appear. (arxiv)
  • L. Sauermann, Rota's basis conjecture holds for random bases of vector spaces, European Journal of Combinatorics (special volume for EUROCOMB21) 121 (2024), Article 103836, 18 pp. (arxiv)
  • A. Li and L. Sauermann, Sárközy's Theorem in Various Finite Field Settings, SIAM Journal on Discrete Mathematics 38 (2024), 1409-1416. (arxiv)
  • M. Kwan, A. Sah, L. Sauermann, and M. Sawhney, Anticoncentration in Ramsey graphs and a proof of the Erdős-McKay conjecture, Forum of Mathematics, Pi 11 (2023), Article e21, 74 pp. (arxiv)
  • L. Sauermann, Finding solutions with distinct variables to systems of linear equations over Fp, Mathematische Annalen 386 (2023), 1-33. (arxiv)
  • L. Sauermann and Y. Wigderson, Polynomials that vanish to high order on most of the hypercube, Journal of the London Mathematical Society 106 (2022), 2379-2402. (arxiv)
  • A. Ferber, M. Kwan, and L. Sauermann, List-decodability with large radius for Reed-Solomon codes, IEEE Transactions on Information Theory 68 (2022), 3823-3828. A preliminary version appeared in the Proceedings of FOCS 2021 (IEEE Symposium on Foundation of Computer Science), pp. 720-726. (arxiv)
  • M. Kwan and L. Sauermann, On the permanent of a random symmetric matrix, Selecta Mathematica 28 (2022), Article 15, 29 pp. (arxiv)
  • M. Kwan, L. Sauermann, and Y. Zhao, Extension complexity of low-dimensional polytopes, Transactions of the American Mathematical Society 375 (2022), 4209-4250. (arxiv)
  • A. Ferber, M. Kwan, and L. Sauermann, Singularity of sparse random matrices: simple proofs, Combinatorics, Probability and Computing 31 (2022), 21-28. (arxiv)
  • L. Sauermann, On the speed of algebraically defined graph classes, Advances in Mathematics 380 (2021), Article 107593, 55 pp. (arxiv)
  • L. Sauermann, On the size of subsets of Fpn without p distinct elements summing to zero, Israel Journal of Mathematics 243 (2021), 63-79. (arxiv)
  • J. Fox, M. Kwan, and L. Sauermann, Anticoncentration for subgraph counts in random graphs, Annals of Probability 49 (2021), 1515-1553. (arxiv)
  • J. Fox, M. Kwan, and L. Sauermann, Combinatorial anti-concentration inequalities, with applications, Mathematical Proceedings of the Cambridge Philosophical Society 171 (2021), 227-248. (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 59 (2021), 554-615. (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 Zmn, 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 E6 and E7, 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)

 

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