Web Analytics

Ayberk Tosun

Publications

Aug 2025The Patch Topology in Univalent Foundations
Published in MSCS Volume 35
with Igor Arrieta, Martín H. Escardó
DOI, arXiv
May 2025Internal Effectful Forcing in System T
Presented at FSCD 2025
with Martín H. Escardó, Bruno da Rocha Paiva, Vincent Rahli
arXiv, formalization
Aug 2023Inductive Continuity via Brouwer Trees
Presented at MFCS 2023
with Liron Cohen, Vincent Rahli, Bruno da Rocha Paiva
DOI
Jul 2022Patch Locale of a Spectral Locale in Univalent Type Theory
Presented at MFPS XXXVIII
with Martín H. Escardó
DOI, arXiv

Theses

Feb 2025Constructive and Predicative Locale Theory in Univalent Foundations
PhD thesis at University of Birmingham
Defended on 27 February 2025
Examiners: Eric Finster, Bas Spitters
PDF
May 2020Formal Topology in Univalent Foundations
MSc thesis at Chalmers University of Technology
Defended on 20 May 2020
Examiner: Nils Anders Danielsson
DOI, slides

Talks

Jun 2025Predicative Stone Duality in Univalent Foundations
Talk given at TYPES 2025 on 10 June 2025
slides, abstract
Mar 2024Locale Theory in Univalent Foundations
Talk given at ASSUME on 21 March 2024
slides
Aug 2023Inductive Continuity via Brouwer Trees
Talk given at MFCS 2023 on 29 August 2023
slides
Mar 2023The Patch Locale of a Spectral Locale in Univalent Type Theory
Talk given at YaMCATS 30 on 15 March 2023
slides
Jun 2022The Patch Locale of a Spectral Locale in Univalent Type Theory
Talk given at TYPES 2022 on 23 June 2022
slides, abstract
Feb 2020Formal Topology in Univalent Foundations
Talk given at Goteborg-Stockholm Type Theory Seminar on 27 February 2020
slides, abstract