Dr
James
Cranch
School of Mathematical and Physical Sciences
Teaching Fellow
Chair of Schools Liaison , Disability Liaison Officer, Outreach Officer, Tutor for Men Students
j.d.cranch@sheffield.ac.uk
+44 114 222 3788
+44 114 222 3788
Hicks Building
Full contact details
Dr James Cranch
Hicks Building
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Research interests
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Homotopy theory, category theory
- Publications
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Show: Featured publications All publications
Featured publications
This person does not have any publications available.
All publications
Journal articles
- Generalised Möbius Categories and Convolution Kleene Algebras.. CoRR, abs/2509.00168.
- Interacting Monoidal Structures with Applications in Computing.. CoRR, abs/2411.03821.
- Convolution and concurrency. Mathematical Structures in Computer Science, 31(8), 918-949.
- Convolution and Concurrency.
- Relational Semigroups and Object-Free Categories.
- Completeness results for omega-regular algebras. Journal of Logical and Algebraic Methods in Programming, 84(3), 402-425.
Conference proceedings
Preprints
- Generalised Möbius Categories and Convolution Kleene Algebras, arXiv.
- Cohomology of coloured partition algebras, arXiv.
- Interacting Monoidal Structures with Applications in Computing, arXiv.
- Convolution and Concurrency, arXiv.
- Relational Semigroups and Object-Free Categories, arXiv.
- Concrete Categories in Homotopy Type Theory, arXiv.
- Algebraic theories, span diagrams and commutative monoids in homotopy
theory.
- Algebraic Theories and (Infinity,1)-Categories.
- Generalised Möbius Categories and Convolution Kleene Algebras.. CoRR, abs/2509.00168.
- Teaching activities
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MAS114 Numbers and Groups