Sebastien Vasey

Sebastien Vasey

Department of Mathematics
Harvard University
Science Center
One Oxford Street
Cambridge, MA 02138

Office: Science Center 321H
Email: sebv (at) math (dot) harvard (dot) edu

Full CV | About Me | Teaching | Talks | Other writings | Various

Papers

List with abstracts and previous versions.

  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, Accepted, Archive for Mathematical Logic. Publisher version pdf arXiv, 26 pages. Last updated on November 8, 2017.

  19. Sebastien Vasey, Toward a stability theory of tame abstract elementary classes, Accepted, Journal of Mathematical Logic. Preprint: pdf arXiv, 34 pages. Last updated on May 21, 2018.

  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, Submitted. Preprint: pdf arXiv, 14 pages. Last updated on April 18, 2018.

  24. Sebastien Vasey, Tameness from two successive good frames, Submitted. Preprint: pdf arXiv, 25 pages. Last updated on August 14, 2017.

  25. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Internal sizes in μ-abstract elementary classes, Submitted. Preprint: pdf arXiv, 26 pages. Last updated on October 4, 2017.

  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, Accepted, The Journal of Symbolic Logic. Preprint: pdf arXiv, 12 pages. Last updated on June 4, 2018.

  28. Will Boney and Sebastien Vasey, Structural logic and abstract elementary classes with intersections, Submitted. Preprint: pdf arXiv, 14 pages. Last updated on January 16, 2018.

  29. Michael Lieberman, Jiří Rosický, and Sebastien Vasey, Forking independence from the categorical point of view, Submitted. Preprint: pdf arXiv, 49 pages. Last updated on May 29, 2018.

  30. Nathanael Ackerman, Will Boney, and Sebastien Vasey, Categoricity in multiuniversal classes, Submitted. Preprint: pdf arXiv, 17 pages. Last updated on May 15, 2018.

  31. Sebastien Vasey, The categoricity spectrum of large abstract elementary classes, Submitted. Preprint: pdf arXiv, 45 pages. Last updated on May 23, 2018.

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