Sebastien Vasey's publication list

Research publications and preprints

See the detailed list with abstracts.

  1. Sebastien Vasey, Indiscernible extraction and Morley sequences, Notre Dame Journal of Formal Logic 58 (2017), no. 1, 127–132. Publisher version pdf arXiv.

  2. Will Boney, Rami Grossberg, Alexei Kolesnikov, and Sebastien Vasey, Canonical forking in AECs, Annals of Pure and Applied Logic 167 (2016), no. 7, 590–613. Publisher version pdf arXiv.

  3. Sebastien Vasey, Forking and superstability in tame AECs, The Journal of Symbolic Logic 81 (2016), no. 1, 357–383. Publisher version pdf arXiv.

  4. Will Boney and Sebastien Vasey, Tameness and frames revisited, The Journal of Symbolic Logic 82 (2017), no. 3, 995–1021. Publisher version pdf arXiv.

  5. Sebastien Vasey, Infinitary stability theory, Archive for Mathematical Logic 55 (2016), nos. 3-4, 562–592. Publisher version pdf arXiv.

  6. Sebastien Vasey, Building independence relations in abstract elementary classes, Annals of Pure and Applied Logic 167 (2016), no. 11, 1029–1092. Publisher version pdf arXiv.

  7. Will Boney and Sebastien Vasey, Chains of saturated models in AECs, Archive for Mathematical Logic 56 (2017), no. 3, 187–213. Publisher version pdf arXiv.

  8. Sebastien Vasey, Shelah's eventual categoricity conjecture in universal classes: part I, Annals of Pure and Applied Logic 168 (2017), no. 9, 1609–1642. Publisher version pdf arXiv. See a short outline of the proof.

  9. Rami Grossberg and Sebastien Vasey, Equivalent definitions of superstability in tame abstract elementary classes, The Journal of Symbolic Logic 82 (2017), no. 4, 1387–1408. Publisher version pdf arXiv.

  10. Monica VanDieren and Sebastien Vasey, Symmetry in abstract elementary classes with amalgamation, Archive for Mathematical Logic 56 (2017), no. 3, 423–452. Publisher version pdf arXiv.

  11. Sebastien Vasey, Shelah's eventual categoricity conjecture in tame AECs with primes, Mathematical Logic Quarterly 64 (2018), nos. 1–2, 25–36. Publisher version pdf arXiv.

  12. Sebastien Vasey, Building prime models in fully good abstract elementary classes, Mathematical Logic Quarterly 63 (2017), nos. 3–4, 193–201. Publisher version pdf arXiv.

  13. Will Boney, Rami Grossberg, Michael Lieberman, Jiří Rosický, and Sebastien Vasey, μ-Abstract elementary classes and other generalizations, Journal of Pure and Applied Algebra 220 (2016), no. 9, 3048–3066. Publisher version pdf arXiv.

  14. Sebastien Vasey, Downward categoricity from a successor inside a good frame, Annals of Pure and Applied Logic 168 (2017), no. 3, 651–692. Publisher version pdf arXiv.

  15. Will Boney and Sebastien Vasey, A survey on tame abstract elementary classes, Beyond First Order Model Theory (José Iovino ed.), CRC Press (2017), 353–427. pdf arXiv.

  16. Sebastien Vasey, Shelah's eventual categoricity conjecture in universal classes: part II, Selecta Mathematica 23 (2017), no. 2, 1469–1506. Publisher version pdf arXiv.

  17. Sebastien Vasey, Saturation and solvability in abstract elementary classes with amalgamation, Archive for Mathematical Logic 56 (2017), nos. 5-6, 671–690. Publisher version pdf arXiv.

  18. Will Boney and Sebastien Vasey, Good frames in the Hart-Shelah example, Archive for Mathematical Logic 57 (2018), nos. 5-6, 687–712. Publisher version pdf arXiv.

  19. Sebastien Vasey, Toward a stability theory of tame abstract elementary classes, Journal of Mathematical Logic 18 (2018), no. 2, 1850009 (34 pages). Publisher version pdf arXiv.

  20. Will Boney, Rami Grossberg, Monica VanDieren, and Sebastien Vasey, Superstability from categoricity in abstract elementary classes, Annals of Pure and Applied Logic 168 (2017), no. 7, 1383–1395. Publisher version pdf arXiv.

  21. Sebastien Vasey, Quasiminimal abstract elementary classes, Archive for Mathematical Logic 57 (2018), nos. 3-4, 299–315. Publisher version pdf arXiv.

  22. Sebastien Vasey, On the uniqueness property of forking in abstract elementary classes, Mathematical Logic Quarterly 63 (2017), no. 6, 598–604. Publisher version pdf arXiv.

  23. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Universal abstract elementary classes and locally multipresentable categories, Proceedings of the American Mathematical Society 147 (2019), no. 3, 1283–1298. Publisher version pdf arXiv.

  24. Sebastien Vasey, Tameness from two successive good frames, Israel Journal of Mathematics 235 (2020), 465–500. Publisher version pdf arXiv.

  25. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Internal sizes in μ-abstract elementary classes, Journal of Pure and Applied Algebra 223 (2019), no. 10, 4560–4582. Publisher version pdf arXiv,

  26. Saharon Shelah and Sebastien Vasey, Abstract elementary classes stable in ℵ0, Annals of Pure and Applied Logic 169 (2018), no. 7, 565–587. Publisher version pdf arXiv.

  27. Marcos Mazari-Armida and Sebastien Vasey, Universal classes near ℵ1, The Journal of Symbolic Logic 83 (2018), no. 4, 1633–1643. Publisher version pdf arXiv.

  28. Will Boney and Sebastien Vasey, Structural logic and abstract elementary classes with intersections, Bulletin of the Polish Academy of Sciences (Mathematics) 67 (2019), 1–17. Publisher version pdf arXiv.

  29. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Forking independence from the categorical point of view, Advances in Mathematics 346 (2019), 719–772. Publisher version pdf arXiv.

  30. Nathanael Ackerman, Will Boney, and Sebastien Vasey, Categoricity in multiuniversal classes, Annals of Pure and Applied Logic 170 (2019), no. 11, 102712 (15 pages). Publisher version pdf arXiv.

  31. Sebastien Vasey, The categoricity spectrum of large abstract elementary classes, Selecta Mathematica 23 (2019), no. 5, 65 (51 pages). Publisher version pdf arXiv.

  32. Saharon Shelah and Sebastien Vasey, Categoricity and multidimensional diagrams, Submitted. Preprint: pdf arXiv, 63 pages. Last updated on May 23, 2018.

  33. Sebastien Vasey, On categoricity in successive cardinals, to appear in The Journal of Symbolic Logic. Preprint: pdf arXiv, 19 pages. Last updated on March 19, 2020.

  34. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Sizes and filtrations in accessible categories, to appear in the Israel Journal of Mathematics. Publisher version pdf arXiv, 36 pages. Last updated on June 5, 2019.

  35. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Cellular categories and stable independence, Submitted. Preprint: pdf arXiv, 22 pages. Last updated on March 3, 2020.

  36. Sebastien Vasey, Accessible categories, set theory, and model theory: an invitation, Submitted. Preprint: pdf arXiv, 68 pages. Last updated on January 7, 2020.

  37. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Hilbert spaces and C*-algebras are not finitely concrete, Submitted. Preprint: pdf arXiv, 7 pages. Last updated on September 20, 2019.

  38. Michael Lieberman, Leonid Positselski, Jiří Rosický, and Sebastien Vasey, Cofibrant generation of pure monomorphisms, Submitted. Preprint: pdf arXiv, 14 pages. Last updated on January 11, 2020.

Research notes

  1. The lazy model theoretician's guide to Shelah's eventual categoricity conjecture in universal classes. An expository note: pdf arXiv, 6 pages. Last updated on November 30, 2015.

  2. Lecture notes on model theory for abstract elementary classes. Based on a course I taught at Harvard University in Spring 2018. Last updated on April 26, 2018.

Teaching notes

You can find the full list on my teaching page.

Various other writings

  1. Synthesis for Rational Linear Arithmetic. My undergraduate thesis (2011) on automated program generation.

  2. Superstability and categoricity in abstract elementary classes. My Ph.D. thesis (572 pages), defended on April 28, 2017. It is a collection of my papers but the introduction (and index) could be useful on their own.

Cemetery

  1. Monica VanDieren and Sebastien Vasey, On the structure of categorical abstract elementary classes with amalgamation. Preprint: pdf arXiv, 19 pages. Last updated on September 15, 2015 (see all versions).

    Status: This has been merged with a paper that was called "Transferring symmetry downward and applications" and is now called "Symmetry in abstract elementary classes with amalgamation".

  2. Will Boney and Sebastien Vasey, Categoricity and infinitary logics, Preprint: pdf arXiv, 9 pages. Last updated on October 16, 2015 (see all versions).

    Status: A mistake in the proof of the main result was found, so the paper is currently incomplete.

  3. Will Boney, Monica VanDieren, and Sebastien Vasey, Shelah-Villaveces revisited. Last updated on November 16, 2016.

    Status: A mistake in the proof of the main result was found. This seems to kill the whole paper.

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