Research

Preprints, publications, research notes, student research, and thesis.

Preprints

  1. 20. Generic stability, randomized, with Gabriel Conant and James Hanson.

    In preparation.

  2. 19. Generic sampling and invariant measures on the space of k-uniform hypergraphs, with Nate Ackerman, Cameron Freer, James Hanson, and Rehana Patel.

    Preprint. [arXiv]

  3. 18. Model theory of convolution algebras, with Alexander Berenstein and Shichang Song.

    Submitted. [arXiv]

  4. 17. Upside down and backward, with Tomasz Rzepecki.

    Submitted. [arXiv]

  5. 16. Convolution semigroups for automorphism dynamics, with Daniel Max Hoffmann and Krzysztof Krupiński.

    Submitted. [arXiv]

  6. 15. Coordinate recognition: general theory, groups, and other surprises, with Ilijas Farah and Pierre Touchard.

    Submitted. [arXiv]

Published

  1. 14. Model theoretic events, with James Hanson.

    Annals of Pure and Applied Logic. [arXiv]

  2. 13. Definable convolution and idempotent Keisler measures III. Generic stability, generic transitivity, and revised Newelski's conjecture, with Artem Chernikov and Krzysztof Krupiński.

    Journal of the London Mathematical Society. [arXiv, doi]

  3. 12. Transfer maps and the Morley product in NIP theories.

    Journal of Symbolic Logic. [arXiv, doi]

  4. 11. Measures and stability in a model, revisited, with Christian d'Elbée.

    Bulletin of the Karaganda University. Mathematics Series. [arXiv, doi]

  5. 10. Generic stability, randomizations, and NIP formulas, with Gabriel Conant and James Hanson.

    Journal of Mathematical Logic. [arXiv, doi]

  6. 9. Concerning Keisler Measures over ultraproducts.

    Annals of Pure and Applied Logic. [arXiv, doi]

  7. 8. An invitation to extension domination, with Jinhe Ye.

    Notre Dame Journal of Formal Logic. [arXiv, doi]

  8. 7. Definable convolution and idempotent Keisler measures II, with Artem Chernikov.

    Model Theory. [arXiv, doi]

  9. 6. Keisler measures in the wild, with Gabriel Conant and James Hanson.

    Model Theory. [arXiv, doi]

  10. 5. Sequential approximations of types and measures.

    Fundamenta Mathematicae. [arXiv, doi]

  11. 4. Associativity of the Morley product of invariant measures in NIP theories, with Gabriel Conant.

    Journal of Symbolic Logic. [arXiv, doi]

  12. 3. Definable convolution and idempotent Keisler measures, with Artem Chernikov.

    Israel Journal of Mathematics. [arXiv, doi]

  13. 2. Remarks on generic stability in independent theories, with Gabriel Conant.

    Annals of Pure and Applied Logic. [arXiv, doi]

  14. 1. Local Keisler measures and NIP formulas.

    Journal of Symbolic Logic. [arXiv, doi]

Research notes, exposition, and conference proceedings

  1. 4. Random Theories, with Nikolay Bazhenov and Samuel Braunfeld.

    Proceedings of the 15th Panhellenic Logic Symposium. [pdf]

  2. 3. A walk on type space.

    RIMS Kôkyûroku. [pdf]

  3. 2. Measures and stability in a model.

    Research note. [pdf]

  4. 1. Introduction to the Keisler order.

    UChicago REU. [pdf]

Research by students

Enumeration of finite distance monoids, by Yunjie Luo and Jie Sheng (PACE REU program).

Preprint. [arXiv]

Thesis

Approximation theorems for Keisler measures.

University of Notre Dame, 2020. [pdf]