Research articles and preprints

  1. Definable convolution and idempotent Keisler measures III. Generic stability, generic transitivity, and revised Newelski's conjecture with Kyle Gannon and Krzysztof Krupinski
    [arXiv]
  2. Perfect stable regularity lemma and slice-wise stable hypergraphs with Henry Towsner
    [arXiv]
  3. Semi-equational theories with Alex Mennen
    Journal of Symbolic Logic, accepted [arXiv][doi: 10.1017/jsl.2023.28]
  4. Definable convolution and idempotent Keisler measures II with Kyle Gannon
    Model Theory 2-2 (2023), 185-232 [arXiv][doi: 10.2140/mt.2023.2.185]
  5. Combinatorial properties of non-archimedean convex sets with Alex Mennen
    Pacific Journal of Mathematics 323-1 (2023), 1-30 [arXiv][doi: 10.2140/pjm.2023.323.1]
  6. Invariant measures in simple and in small theories with Ehud Hrushovski, Alex Kruckman, Krzysztof Krupinski, Slavko Moconja, Anand Pillay and Nicholas Ramsey
    Journal of Mathematical Logic, 23(2), 2250025 (2023) [arXiv][doi: 10.1142/S0219061322500258]
  7. Model-theoretic Elekes-Szabó for stable and o-minimal hypergraphs with Kobi Peterzil and Sergei Starchenko
    Duke Math. J. 173(3), 419-512 (2024) [arXiv][doi: 10.1215/00127094-2023-0018]
  8. Hypergraph regularity and higher arity VC-dimension with Henry Towsner
    [arXiv]
  9. 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]
  10. Distality in valued fields and related structures with Matthias Aschenbrenner, Allen Gehret and Martin Ziegler
    Trans. Amer. Math. Soc. 375 (2022), 4641-4710 [arXiv][doi: 10.1090/tran/8661]
  11. Transitivity, lowness, and ranks in NSOP1 theories with Byunghan Kim and Nicholas Ramsey
    Journal of Symbolic Logic, 88(3), 919-946 [arXiv][doi: 10.1017/jsl.2023.36]
  12. Definable convolution and idempotent Keisler measures with Kyle Gannon
    Israel Journal of Mathematics, 248 (2022), no. 1, 271–314 [arXiv][doi: 10.1007/s11856-022-2298-2]
  13. 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]
  14. Model-theoretic Elekes-Szabó in the strongly minimal case with Sergei Starchenko
    Journal of Mathematical Logic 21.02 (2021): 2150004 [arXiv][doi: 10.1142/S0219061321500045]
  15. Mekler's construction and generalized stability with Nadja Hempel
    Isr. J. Math. (2019) 230: 745-769 [arXiv][doi: 10.1007/s11856-019-1836-z]
  16. 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]
  17. 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]
  18. Definable regularity lemmas for NIP hypergraphs with Sergei Starchenko
    The Quarterly Journal of Mathematics, 72(4), 2021, 1401–1433 [arXiv][doi: 10.1093/qmath/haab011]
  19. 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]
  20. Regularity lemma for distal structures with Sergei Starchenko
    J. Eur. Math. Soc. 20 (2018), 2437-2466 [arXiv][doi: 10.4171/JEMS/816]
  21. On model-theoretic tree properties with Nicholas Ramsey
    Journal of Mathematical Logic, 16(2), (2016) [arXiv][doi:10.1142/S0219061316500094]
  22. 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]
  23. Definably amenable NIP groups with Pierre Simon
    J. Amer. Math. Soc. 31 (2018), 609-641 [arXiv][doi:10.1090/jams/896 ]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. On non-forking spectra with Itay Kaplan and Saharon Shelah
    J. Eur. Math. Soc. 18 (2016), 2821-2848 [arXiv][doi: 10.4171/JEMS/654]
  31. 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]
  32. 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]
  33. 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]
  34. Forking and dividing in NTP2 theories with Itay Kaplan
    Journal of Symbolic Logic 77 (1), 1-20 (2012) [arXiv][doi:10.2178/jsl/1327068688]

    35. Thesis: On theories without the tree property of the second kind, advisor: Itaï 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. Intersecting sets in probability spaces and Shelah's classification
    Proceedings of the 14th Panhellenic Logic Symposium, 2024 [arXiv]
  2. Towards higher classification theory
    Oberwolfach Rep. 20 (2023), no. 1, pp. 129-134 [pdf] [doi:10.14760/OWR-2023-2]
  3. Model-theoretic Elekes-Szabó with Ya’acov Peterzil and Sergei Starchenko
    Oberwolfach Rep. 17 (2020), no. 1, pp. 132-136 [pdf][doi:10.14760/OWR-2020-2]
  4. 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]

Reviews

  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]