Modular (ψ, Γ)-modules and tensor products, 2024.
Colmez's treillis and Lubin-Tate (ψ, Γ)-modules, 2024.
Modular cyclotomic (ψ, Γ)-modules and tensor products, 2022 (now superseeded).
(𝜑, Γ)-modules for the fresh 0, 2022, historical prelim notes for PhD students (for personal distribution).
(𝜑, Γ)-modules for the fresh I, 2022, expository foundational notes for PhD students (for personal distribution).
On p-adic L-functions: from Kubota-Leopoldt to Iwasawa, 2021, Master's thesis.
Moduli Spaces of Curves, 2021, expository miniproject.
Zeta Functions of Elliptic Curves and K3 Surfaces, 2020, LMS research project.
The Riemann Zeta Function and the Distribution of Prime Numbers, 2019, pre-Bachelor's thesis.
In preparation
Intertwined cyclic systems and (ψ, Γ)-modules.
Talks
Big Witt vectors and prisms, 2025.
Square bracket formalism and p-adic modular forms via the VOA character mapping, 2024.
p-adic fields and vertex algebras, 2024.
Chain complexes as a model category: projective and injective structures, 2023.
Condensed cohomology, 2023.
Condensed sets, 2023.
Fibered categories: the functors of arrows and equivariant objects, 2022.
Formal schemes, quotients by group actions and Wiles pseudo-representations, 2022.
Galois continuity for functors between Modét(𝔸L) and Repo(GL), 2021.
Perfectoid fields: the coefficient ring of (𝜑, Γ)-modules via tilts, 2021.
On p-adic L-functions: from Kubota-Leopoldt to Iwasawa, 2021.