Research

My research is in mathematical logic, specifically model theory. My work has applied methods from structural Ramsey theory to problems in classification theory in model theory.

My recent work has been more focused on applying methods from model theory and category theory to questions in structural Ramsey theory.

I do mathematics research because math crosses borders, makes new friends, changes the brain, and typically (for me) involves tea and coffee.

CSUSB students who are curious about research opportunities on campus are invited to get in touch with me to learn more.

Submitted

  • (with Mirna Džamonja, Dana Bartošová, and Rehana Patel) ``Big Ramsey Degrees in Ultraproducts of Finite Structures.'' (2022) PDF

  • (with Dana Bartošová) ``A New Perspective on Semi-retractions and the Ramsey Property.'' (2022) arxiv

  • (with Vincent Guingona and Miriam Parnes) ``Products of Classes of Finite Structures.'' (2021) arxiv

Preprints

  • ``Tame Colorings." (2021) PDF

Published or Accepted

  • ``Ramsey transfer to semi-retractions.'' Annals of Pure and Applied Logic 172 (2021), no. 3, pp. 102891, 18. arxiv,

  • (with Dragan Mašulović) ``Categorical equivalence and the Ramsey property for finite powers of a primal algebra.'' Algebra Universalis 78 (2017), no. 2, pp. 159-179. arxiv,

  • (with Cameron Donnay Hill and Vincent Guingona) ``Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles.'' Annals of Pure and Applied Logic 168 (2017), no. 5, pp. 1091-1111. arxiv,

  • ``Indiscernibles, EM-types, and Ramsey Classes of Trees.'' Notre Dame Journal of Formal Logic 56 (2015), no. 3, pp. 429-447. arxiv,

  • (with Byunghan Kim and Hyeung-Joon Kim) ``Tree Indiscernibilities, Revisited.'' Archive for Mathematical Logic 53 (2014), no. 1-2, pp. 211-232. arxiv,

  • ``Characterization of NIP theories by ordered graph-indiscernibles.'' Annals of Pure and Applied Logic 163, no. 11 (2012), pp. 1624-1641. arxiv,