I am a Research Fellow in the Department of Mathematics at the National University of Singapore. My research interests lie in both computability theory and set theory, and especially at their intersection. Currently, I am working on questions in descriptive set theory, algorithmic randomness, and interactions between computability theory and set theory.
Previously, I completed a PhD in mathematics at Victoria University of Wellington (New Zealand) advised by Dan Turetsky. Before coming to New Zealand, I received a Master’s degree from the University of Manchester (United Kingdom) in 2018. My Master’s thesis was supervised by Gareth Jones.
Research Fellow
Department of Mathematics
National University of Singapore
Email: richter@nus.edu.sg
Department of Mathematics
National University of Singapore
Email: richter@nus.edu.sg
Research Papers
Submitted for publication
More on Bases of Uncountable Free Abelian Groups
[ PDF ]
with Noam Greenberg, Saharon Shelah, and Dan Turetsky
To appear
Theses
On the Definability and Complexity of Sets and Structures
[ PDF ]
PhD thesis
2024
Topics in Set Theory and Logic
[ PDF ]
Master’s thesis
2018
Talks
On the Definability and Complexity of Sets and Structures
[ PDF ]
Colloquium Logicum 2024, PhD Colloquium, Austrian Academy of Sciences
Oct 2024
The Borel-Definable Group Cohomology of ℝn Is (Hopefully) Simple
[ PDF ]
IMS Graduate Summer School in Logic, National University of Singapore
Jun 2023
On CA-Recursion and Marstrand’s Theorem
Victoria University of Wellington Logic Seminar
Mar 2023
Pt 1: Controlling the Construction of CA-sets
[ PDF ]
Pt 2: CA Counterexamples to Marstrand’s Projection Theorem
[ 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 [ PDF Slides / PDF Handwritten ]
On Homological Algebra, Group Extensions, and Descriptive Set Theory
[ PDF ]
Victoria University of Wellington SMS Graduate Seminar
May 2021
When the Search for Proofs Turns Futile
[ PDF ]
Victoria University of Wellington SMS Graduate Seminar
Nov 2020
Higher Derived Limits and Cohomology of Ordinals
[ PDF ]
Victoria University of Wellington Logic Seminar
Apr 2020
Computability, Complexity, and Some Algebra
[ PDF ]
NZMASP 2019, Wainui
Nov 2019
More on Bases of Uncountable Free Abelian Groups
Victoria University of Wellington Logic Seminar
Aug 2019
Miscellaneous
Short Teaching Notes
ℝ3 is a union of disjoint circles, assuming AC
[ PDF ]
One Way to Think About: Zorn’s Lemma
[ PDF ]
One Way to Think About: Change of Basis Matrices
[ PDF ]
Doctoral Proposal
[ PDF ]
Victoria University of Wellington
Mar 2020