Research articles and preprints

  1. Combinatorial properties of non-archimedean convex sets with Alex Mennen
  2. Invariant measures in simple and in small theories with Ehud Hrushovski, Alex Kruckman, Krzysztof Krupinski, Slavko Moconja, Anand Pillay and Nicholas Ramsey
  3. Model-theoretic Elekes-Szabó for stable and o-minimal hypergraphs with Kobi Peterzil and Sergei Starchenko
  4. Hypergraph regularity and higher arity VC-dimension with Henry Towsner
  5. Zarankiewicz's problem for semilinear hypergraphs with Abdul Basit, Sergei Starchenko, Terence Tao and Chieu-Minh Tran
    Forum of Mathematics, Sigma (2021), Vol. 9, E59, 1-23 [arXiv][doi: 10.1017/fms.2021.52][Tao's blogpost]
  6. Distality in valued fields and related structures with Matthias Aschenbrenner, Allen Gehret and Martin Ziegler
  7. Transitivity, lowness, and ranks in NSOP1 theories with Byunghan Kim and Nicholas Ramsey
  8. Definable convolution and idempotent Keisler measures with Kyle Gannon
    Israel Journal of Mathematics, accepted [arXiv]
  9. On n-dependent groups and fields II with Nadja Hempel
    Forum of Mathematics, Sigma, 9, E38, 1-51 [arXiv][doi: 10.1017/fms.2021.35]
  10. Model-theoretic Elekes-Szabó in the strongly minimal case with Sergei Starchenko
    Journal of Mathematical Logic, accepted [arXiv][doi: 10.1142/S0219061321500045]
  11. Mekler's construction and generalized stability with Nadja Hempel
    Isr. J. Math. (2019) 230: 745-769 [arXiv][doi: 10.1007/s11856-019-1836-z]
  12. Cutting lemma and Zarankiewicz's problem in distal structures with David Galvin and Sergei Starchenko
    Selecta Mathematica, New Ser. 26, 25 (2020) [arXiv][doi: 10.1007/s00029-020-0551-2]
  13. Ramsey growth in some NIP structures with Sergei Starchenko and Margaret Thomas
    Journal of the Institute of Mathematics of Jussieu, 20(1), 1-29 (2021) [arXiv][doi: 10.1017/S1474748019000100]
  14. Definable regularity lemmas for NIP hypergraphs with Sergei Starchenko
    Quarterly Journal of Mathematics, accepted [arXiv][doi: 10.1093/qmath/haab011]
  15. Henselian valued fields and inp-minimality with Pierre Simon
    The Journal of Symbolic Logic, 84(4), 1510-1526 (2019) [arXiv][doi: 10.1017/jsl.2019.56]
  16. Regularity lemma for distal structures with Sergei Starchenko
    J. Eur. Math. Soc. 20 (2018), 2437-2466 [arXiv][doi: 10.4171/JEMS/816]
  17. On model-theoretic tree properties with Nicholas Ramsey
    Journal of Mathematical Logic, 16(2), (2016) [arXiv][doi:10.1142/S0219061316500094]
  18. A note on the Erdős-Hajnal property for stable graphs with Sergei Starchenko
    Proceedings of the American Mathematical Society 146.2 (2018): 785-790 [arXiv][doi:10.1090/proc/13626]
  19. Definably amenable NIP groups with Pierre Simon
    J. Amer. Math. Soc. 31 (2018), 609-641 [arXiv][doi:10.1090/jams/896 ]
  20. On n-dependence with Daniel Palacin and Kota Takeuchi
    Notre Dame J. Formal Logic, Volume 60, Number 2 (2019), 195-214 [arXiv][doi:10.1215/00294527-2019-0002]
  21. On the number of Dedekind cuts and two-cardinal models of dependent theories with Saharon Shelah
    Journal of the Institute of Mathematics of Jussieu, 15(4), 771-784 (2016) [arXiv][doi:10.1017/S1474748015000018]
  22. External definability and groups in NIP theories with Anand Pillay and Pierre Simon
    J. London Math. Soc., 90 (1), 213-240 (2014) [arXiv][doi: 10.1112/jlms/jdu019]
  23. Groups and fields with NTP2 with Itay Kaplan and Pierre Simon
    Proceedings of the American Mathematical Society 143 (1), 395-406 (2015) [arXiv][doi:10.1090/S0002-9939-2014-12229-5]
  24. Valued difference fields and NTP2 with Martin Hils
    Israel Journal of Mathematics 204 (1), 299-327 (2014) [arXiv][doi:10.1007/s11856-014-1094-z]
  25. An independence theorem for NTP2 theories with Itai Ben Yaacov
    Journal of Symbolic Logic 79 (01), 135-153 (2014) [arXiv][doi:10.1017/jsl.2013.22]
  26. On non-forking spectra with Itay Kaplan and Saharon Shelah
    J. Eur. Math. Soc. 18 (2016), 2821-2848 [arXiv][doi: 10.4171/JEMS/654]
  27. Theories without the tree property of the second kind
    Annals of Pure and Applied Logic 165 (2), 695-723 (2014) [arXiv][doi:10.1016/j.apal.2013.10.002]
  28. Externally definable sets and dependent pairs II with Pierre Simon
    Trans. Amer. Math. Soc. 367 (2015), 5217-5235 [arXiv][doi:10.1090/S0002-9947-2015-06210-2]
  29. Externally definable sets and dependent pairs with Pierre Simon
    Israel J. Math. 194 (2013), no. 1, 409-425 [arXiv][doi:10.1007/s11856-012-0061-9]
  30. Forking and dividing in NTP2 theories with Itay Kaplan
    Journal of Symbolic Logic 77 (1), 1-20 (2012) [arXiv][doi:10.2178/jsl/1327068688]

  31. Thesis: On theories without the tree property of the second kind, advisor: Itai Ben Yaacov
    Slides from the defense. Defended in October 2012 at the logic group of the University Claude Bernard - Lyon 1 while I was a MALOA fellow

Books and lecture notes

  1. Model theory and combinatorics, book draft in progress
  2. Lecture notes on stability theory, AMS Open Math Notes

Conference proceedings / Extended abstracts

  1. Model-theoretic Elekes-Szabó with Ya’acov Peterzil and Sergei Starchenko
    Oberwolfach Reports, Issue 2 (2020) [doi:10.14760/OWR-2020-2]
  2. Indiscernible sequences and arrays in valued fields
    Proceedings of "New developments of independence notions in model theory", RIMS Kokyuroku 1718, 127-131, 2010-10, Kyoto University [pdf]


  1. Model theory, Keisler measures and groups
    The Bulletin of Symbolic Logic, 24(3), 336-339 (2018) [Read online] [doi:10.1017/bsl.2018.68]

Notes not intended for publication

  1. Naming an indiscernible sequence in NIP theories with Pierre Simon
    (absorbed into "Externally definable sets and dependent pairs") [arXiv]