Publications
Co-analytic Counterexamples to Marstrand's Projection Theorem
More on Bases of Uncountable Free Abelian Groups
with Noam Greenberg, Saharon Shelah, and Dan Turetsky // to appear // PDF
On the Definability and Complexity of Sets and Structures
PhD thesis // PDF
Talks
The Borel-Definable Group Cohomology of ℝn Is (Hopefully) Simple
IMS Graduate Summer School in Logic, National University of Singapore // Jun 2023 // PDF
On CA-Recursion and Marstrand's Theorem
Victoria University of Wellington Logic Seminar
Part 1: Controlling the Construction of CA-sets // Mar 2023 // PDF
Part 2: CA Counterexamples to Marstrand's Projection Theorem // Mar 2023 // PDF
Co-analytic Counterexamples to Marstrand's Projection Theorem
Penn State Logic Seminar // online // Sep 2023 // PDF
National University of Singapore Logic Seminar // online // Mar 2023 // PDF
Computability Theory and Applications Seminar // online // Jan 2023 // PDF
On (Borel) Group Extensions
University of Sydney Graduate Talks in Topology and Geometry (GT)^2 // online // May 2022 // Slides PDF, Hand PDF
On Homological Algebra, Group Extensions, and Descriptive Set Theory
VUW SMS Grad Seminar // May 2021 // PDF
When the Search for Proofs Turns Futile
VUW SMS Grad Seminar // Nov 2020 // PDF
Higher Derived Limits and Cohomology of Ordinals
Victoria University of Wellington Logic Seminar // Apr 2020 // PDF
Computability, Complexity, and Some Algebra
NZMASP, Wainui // Nov 2019 // PDF
More on Bases of Uncountable Free Abelian Groups
Victoria University of Wellington Logic Seminar // Aug 2019
Miscellaneous
Doctoral Proposal
Victoria University of Wellington // March 2020 // PDF
Brief notes used for teaching
ℝ3 is a union of disjoint circles under AC // PDF
One Way to Think About: Zorn's Lemma // PDF
One Way to Think About: Change of Basis Matrices // PDF