Curriculum vitae

A more detailed CV is available here: PDF

Employment

• Assistant Professor of Mathematics, University of Winnipeg, 2022 - present

• Postdoctoral Assistant Professor of Mathematics, University of Michigan, 2020 - 2022

• Hill Assistant Professor of Mathematics, Rutgers University, 2017 - 2020

Education

• PhD in Mathematics, Cornell University, 2017

  • Thesis: Set theory in infinite-dimensional vector spaces

  • Thesis advisor: Justin Moore

• MS in Mathematics, Cornell University, 2014

• B.Sc.(Hons.) in Mathematics, University of Manitoba, 2011

Work in progress

1. Parametrizing the Ramsey theory of vector spaces II: Banach spaces.

2. (with Jeffrey Bergfalk) A descriptive approach to manifold classification.

Publications & preprints

1. Parametrizing the Ramsey theory of vector spaces I: Discrete spaces. Submitted. arXiv:2108:0054

2. Filters on a countable vector space. Fund. Math. 260 (2023), 41-58. arXiv:2101.06501

3. Equivalence of generics. Arch. Math. Log. 61 (2022), 795-812. arXiv:1810.04704

4. Mad families of vector subspaces and the smallest nonmeager set of reals. Colloq. Math. 163 (2021), 15–22. arXiv:1909.08078 

5. Madness in vector spaces. J. Symbolic Logic. 84 (2019), 1590-1611. arXiv:1712.00057

6. A local Ramsey theory for block sequences. Trans. Amer. Math. Soc. 370 (2018), 8859-8893. arXiv:1609.09016

7. Borel equivalence relations in the space of bounded operators. Fund. Math. 237 (2017), no. 1, 31-45. arXiv:1407.5325

8. Set theory in infinite-dimensional vector spaces. PhD Thesis (2017), Cornell University.

Grants & awards

• NSERC Discovery Grant: Definability, Homogeneity, and Extremal Constructions in Infinitary Mathematics (RGPIN-2023-03343), with Discovery Launch Supplement.

Selected talks

• A descriptive approach to manifold classification (Mathematical Logic Seminar, Carnegie Mellon University, Pittsburgh, PA), Oct 2023

• Parametrizing the Ramsey theory of vector spaces (Logic Seminar, Kurt Gödel Research Center, Vienna, AT), Oct 2021

• Equivalence of generic reals (semi-plenary), Spring Topology and Dynamical Systems Conference, Murray, KY (online), May 2021

• The Ramsey theory of vector spaces (Math Seminar, University of Winnipeg)

• Parametrizing the Ramsey theory of block sequences, Joint Mathematics Meetings, Denver, CO, January 2020.

• Parametrization and preservation in the Ramsey theory for block sequences, AMS Fall Central Sectional Meeting, University of Wisconsin - Madison, September 2019

• Equivalence of generic reals, ASL North American Annual Meeting, CUNY Graduate Center, May 2019

• The Continuum Hypothesis: From Cantor to Cohen, Rutgers Undergraduate Mathematics Association Lecture Series, November 2018

• Generic pure states, Canadian Mathematical Society Winter Meeting, Waterloo, ON, December 2017

• Madness in vector spaces, Joint Mathematics Meetings, Atlanta, GA, January 2017

• A local Ramsey theory for block sequences, AMS Fall Western Sectional Meeting, University of Denver, October 2016

• Turbulence and essential equivalence of subspaces, Canadian Mathematical Society Winter Meeting, Montreal, QC, December 2015

Professional membership

• Canadian Mathematical Society

• American Mathematical Society

• Association for Symbolic Logic