麻豆村

麻豆村
Department of Philosophy  ›  Homotopy Type Theory at 麻豆村  ›  Research
Formalizations
  • The HoTTLean Project. ,  

  • The Serre Finiteness Theorem. , 

Preprints
  • Steve Awodey, Algebraic Type Theory, Part 1: Martin-Löf algebras (2025).  
  • Steve Awodey, Jacopo Emmenegger, Toward the effective 2-topos (2025).  
  • Julia Morin (visiting MS student), Joyal’s representation theorem for Heyting categories (2024)
  • Awodey, Cavallo, Coquand, Riehl, Sattler, (2024)
  • Anel, Barton,  (2024)
  • Anel, Weinberger,  (2024)
  • Anel, Biedermann, Finster and Joyal,  (2023)
  • Frey,    (2023)
  • Awodey,  , (May 2023)
  • Awodey,  (2022)
  • Anel,   (2021)
  • Anel, Subramaniam,   (2020)
  • Swan, (2022)
  • Swan, (2022)
Publications
  • Barton, R., , Mathematical Structures in Computer Science, Volume 35 (2025). doi:10.1017/S0960129525000106
  • Anel, Biedermann, Finster and Joyal, , Journal of Pure and Applied Algebra, Volume 228, Issue 3 (2024) 107472.
  • Awodey, Gambino, Hazratpour, , Selecta Mathematica, Volume 30 (2024).
  • Frey, Rasekh,    Homotopy, Homology and Applications, Volume 25 (2023).
  • Frey, J.,    Journal of Pure and Applied Algebra, 2022, doi:10.1016/j.jpaa.2022.107115
  • Anel, Biedermann, Finster, Joyal,  .  Advances in Mathematics, Volume 400, 2022, 108268.
  • Swan, A.W. (2022). Mathematical logic quarterly, Volume 68, Issue 1. doi:10.1002/malq.202100040
  • Swan, A.W. (2022). Logical Methods in Computer Science, Volume 18, Issue 1. doi:10.46298/lmcs-18(1:18)2022
  • Frey, J., & Streicher, T. (2021).   Mathematical Structures in Computer Science,  1-10. doi:10.1017/S0960129520000304
  • Awodey, S. (2021).   In: Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics, Claudia Casadio and Philip J. Scott (eds.), Springer-Verlag.
Slides
  • Joint work with Mathieu Anel and Reid Barton. Slides from a talk at the conference Category Theory 2025.
  • . Slides from a talk at the conference Categorical Logic and Higher Categories held in Manchester in December 2024.
  • Awodey, S. (2024)  Slides and video from a talk for the Hausdorff Institute for Mathematics program Prospects of Formal Mathematics in May 2024.
  • Awodey, S. (2023) , Slides from 麻豆村 Philosophy Colloquium, September 2023.
  • Frey, J. (2022)  . Slides from the  online workshop.
  • Awodey, S. (2022)  . Slides from the special session on  Homotopy Type Theory at the   of the  .
  • Frey, J. (2022) . Slides from the special session on  Homotopy Type Theory at the   of the  .
  • Awodey, S. (2022) Tutorial on polynomial functors and type theory. Slides from the Workshop on Polynomial Functors, held at the Topos Institute, March 2022.
  • Frey, J. (2022)  , Slides from an invited talk at the   series, February 2022. 
  • Awodey, S. (2021)  Slides from the conference Category Theory 2021 held at the University of Genoa, August 2021.
  • Frey, J. (2021)  Slides from the conference Category Theory 2021 held at the University of Genoa, August 2021.
  •  Swan, A.W. (2021) Some remarks on locally representable algebraic weak factorisation systems. Slides from the conference Category Theory 2021 held at the University of Genoa, August 2021.
  • Frey, J. (2021)  Slides from the workshop HoTT/UF 2021 held at Buenos Aires, July 2021.
  • Swan, A.W. (2021) The Nielsen-Schreier theorem in homotopy type theory. Slides from the workshop HoTT/UF 2021 held at Buenos Aires, July 2021.
  • Awodey, S. (2021) Polynomial functors and natural models of type theory. Slides from the Workshop on Polynomial Functors held at the Topos Institute, March 2021.
  • Awodey, S. (2019) Slides from the conference Homotopy Type Theory 2019 held at 麻豆村, July 2019.

 Sponsorship

The 麻豆村 HoTT Group gratefully acknowledges the support of the Air Force Office of Scientific Research through MURI grants FA9550-15-1-0053 and FA9550-21-1-0009, as well as award n umber FA9550-20-1-0305 .  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the United States Air Force.