skip to content

Department of Pure Mathematics and Mathematical Statistics

Professor of Mathematical Logic

Research Interests: Mathematical Logic: Lambda Calculus, Recursion Theory, Realizability, Proof Theory, Linear Logic. Category Theory: Topos Theory, Categorical algebra, Operads, Higher-dimensional Categories. Theoretical Computer Science: Applications of Category Theory, Domain Theory, Polymorphism, Game Semantics.

Publications

Measuring comodules and enrichment
M Hyland, IL Franco, C Vasilakopoulou
– Journal of Pure and Applied Algebra
(2026)
230,
108211
The Kock-Mikkelsen factorisation
JME Hyland
– Mathematical Structures in Computer Science
(2025)
35,
e39
Monoidal bicategories, differential linear logic, and analytic functors
M Fiore, N Gambino, M Hyland
(2024)
The linear-non-linear substitution 2-monad
M Hyland, C Tasson
– Electronic Proceedings in Theoretical Computer Science
(2021)
333,
215
The True Concurrency of Herbrand's Theorem
A Alcolei, P Clairambault, M Hyland, G Winskel
– 27TH EACSL ANNUAL CONFERENCE ON COMPUTER SCIENCE LOGIC, CSL 2018
(2018)
119,
5:1
Relative pseudomonads, Kleisli bicategories, and substitution monoidal structures
M Fiore, N Gambino, M Hyland, G Winskel
– Selecta Mathematica
(2018)
24,
2791
Hopf measuring comonoids and enrichment
M Hyland, IL Franco, C Vasilakopoulou
– Proceedings of the London Mathematical Society
(2017)
115,
1118
A Syntactic Characterization of the Equality in Some Models for the Lambda Calculus
M Hyland
– Journal of the London Mathematical Society
(2016)
12,
361
Obituary: Andre\u\i Nikolaevich Kolmogorov (1903–1987)
DG Kendall, GK Batchelor, NH Bingham, WK Hayman, JME Hyland, GG Lorentz, HK Moffatt, W Parry, AA Razborov, CA Robinson, P Whittle
– Bulletin of the London Mathematical Society
(2016)
22,
31
The Discrete Objects in the Effective Topos
JME Hyland, EP Robinson, G Rosolini
– Proceedings of the London Mathematical Society
(2016)
s3-60,
1
  • 1 of 9
  • >

Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983