Research

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

A monument in a green landscape beneath a bright, cloud-filled sky

Preprints

  1. 20. Generically stable Keisler measures*AI assisted, with Gabriel Conant and James Hanson.

    Submitted. [arXiv]

  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]

Published and Accepted

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

    To appear in Journal of the Institute of Mathematics of Jussieu. [arXiv]

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

    To appear in Annals of Pure and Applied Logic. [arXiv]

  3. 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]

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

    Journal of Symbolic Logic. [arXiv, doi]

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

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

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

    Journal of Mathematical Logic. [arXiv, doi]

  7. 9. Concerning Keisler Measures over ultraproducts.

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

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

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

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

    Model Theory. [arXiv, doi]

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

    Model Theory. [arXiv, doi]

  11. 5. Sequential approximations of types and measures.

    Fundamenta Mathematicae. [arXiv, doi]

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

    Journal of Symbolic Logic. [arXiv, doi]

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

    Israel Journal of Mathematics. [arXiv, doi]

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

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

  15. 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]