(John) Martin Elliott Hyland is professor of mathematical logic at the University of Cambridge and a fellow of King's College, Cambridge. His interests include mathematical logic, category theory, and theoretical computer science.[5]

Martin Hyland
Born
John Martin Elliott Hyland
Alma materUniversity of Oxford (DPhil)
Scientific career
FieldsMathematics
Theoretical computer science[1]
InstitutionsUniversity of Cambridge
ThesisRecursion Theory on the Countable Functionals (1975)
Doctoral advisorRobin Gandy[2]
Doctoral students
Websitewww.dpmms.cam.ac.uk/~martin/

Education

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Hyland was educated at the University of Oxford where he was awarded a Doctor of Philosophy degree in 1975[6] for research supervised by Robin Gandy.[2]

Research and career

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Martin Hyland is best known for his work on category theory applied to logic (proof theory, recursion theory), theoretical computer science (lambda-calculus and semantics) and higher-dimensional algebra.[1] In particular he is known for work on the effective topos (within topos theory) and on game semantics. His former doctoral students include Eugenia Cheng[3][7] and Valeria de Paiva.[2][4]

References

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  1. ^ a b Martin Hyland publications indexed by Google Scholar  
  2. ^ a b c Martin Hyland at the Mathematics Genealogy Project
  3. ^ a b Cheng, Eugenia (2002). Higher-dimensional category theory : opetopic foundations (PDF). cheng.staff.shef.ac.uk (PhD thesis). University of Cambridge. OCLC 879393286. EThOS uk.bl.ethos.597569. Archived from the original (PDF) on 31 October 2008.
  4. ^ a b Paiva, Valeria Correa Vaz de (1988). The dialectica categories (PhD thesis). University of Cambridge. EThOS uk.bl.ethos.315050.
  5. ^ "Fellows of King's College". Cambridge University Reporter. 2 October 2008. Retrieved 15 July 2009.
  6. ^ Hyland, John Martin Elliot (1975). Recursion Theory on the Countable Functionals. bodleian.ox.ac.uk (PhD thesis). University of Oxford. OCLC 67751639. EThOS uk.bl.ethos.460247.
  7. ^ Cheng, Eugenia; Hyland, Martin; Power, John (2003). "Pseudo-distributive Laws". Electronic Notes in Theoretical Computer Science. 83: 227–245. doi:10.1016/S1571-0661(03)50012-3. ISSN 1571-0661.