# 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 ℝ^{n} 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

ℝ^{3} 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