Main research areas: high cardinality generalisations of the real line, descriptive set theory in weakenings of ZFC, processes of mathematical change (particularly generalisation), 20th century history of topology and logic
Other research areas: deterministic and axiomatic ecology, topological models for set theory
Other research areas: deterministic and axiomatic ecology, topological models for set theory
2022
What are Generalisations and what are they for? (in prepration)
Elements of Generalised Real Analysis (in preparation, draft available on request)
kappa-Topologies, kappa-Borel sets, and kappa-Analyticity (with Luca Motto Ros and Claudio Agostini, in preparation)
Descriptive Choice Principles and How to Separate Them (with Lucas Wansner, in preparation, draft available on request)
Axiomatic Community Ecology (with Matthew Spencer, in preparation)
What are Generalisations and what are they for? (in prepration)
Elements of Generalised Real Analysis (in preparation, draft available on request)
kappa-Topologies, kappa-Borel sets, and kappa-Analyticity (with Luca Motto Ros and Claudio Agostini, in preparation)
Descriptive Choice Principles and How to Separate Them (with Lucas Wansner, in preparation, draft available on request)
Axiomatic Community Ecology (with Matthew Spencer, in preparation)
2021
Infinite Sums, Measure Theory, and Long Polynomials on High Cardinality Fields (in preparation, draft available on request)
Infinite Sums, Measure Theory, and Long Polynomials on High Cardinality Fields (in preparation, draft available on request)
2019
PAMS Corpus
Non-Standard Analysis (MPhil Thesis - Supervisor: Dr. Tim Button)
Genuinely Mathematical Incompleteness (April Draft)
The Mechanics of Thought Experiments (April Draft)
PAMS Corpus
Non-Standard Analysis (MPhil Thesis - Supervisor: Dr. Tim Button)
Genuinely Mathematical Incompleteness (April Draft)
The Mechanics of Thought Experiments (April Draft)
2018
Non-Set Theoretic Foundations of Concrete Mathematics (MMathPhil Thesis - Supervisor: Dr. Rolf Suabedissen)
Typed and Untyped Terms in Compositional Semantics (MMathPhil Thesis - Supervisor: Prof. Paul Elbourne)
Non-Set Theoretic Foundations of Concrete Mathematics (MMathPhil Thesis - Supervisor: Dr. Rolf Suabedissen)
Typed and Untyped Terms in Compositional Semantics (MMathPhil Thesis - Supervisor: Prof. Paul Elbourne)
