Michael Batanin

Associate Professor

1987 …2018
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  • 4 Similar Profiles
Operad Mathematics
Monoidal Category Mathematics
Monads Mathematics
Enriched Category Mathematics
Category Theory Mathematics
Model Category Mathematics
Algebra Mathematics
Homotopy Theory Mathematics

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Projects 2009 2016

Centre of Australian Category Theory (CoACT)

Lack, S., Verity, D., Street, R., Chikhladze, D., Cohen, J., Corbett, J., Davydov, A., Flax, L., Kennett, C., Paoli, S., Palm, T., Pastro, C., Weber, M., Valckenborgh, F., Batanin, M. & Johnson, M.

1/01/09 → …

Project: Research

Higher structures and their Applications

Batanin, M.

1/01/1630/06/16

Project: Research

Higher structures and their applications

Batanin, M.

1/01/1631/12/16

Project: Research

Enriched higher category theory

Batanin, M., Markl, M., Berger, C. & MQRES, M.

1/01/1331/12/16

Project: Research

Appointments and Schedules

Functorial operadic calculus

Batanin, M., Berger, C. & Newton, J.

1/01/1015/04/13

Project: Research

Research Outputs 1987 2018

Regular patterns, substitudes, feynman categories and operads

Batanin, M., Kock, J. & Weber, M., 19 Feb 2018, In : Theory and Applications of Categories. 33, 6-7, p. 148-192 45 p.

Research output: Contribution to journalArticleResearchpeer-review

Operad
Monoidal Category
Monads
Compatibility Conditions
Exactness

An operadic proof of Baez-Dolan stabilization hypothesis

Batanin, M. A., Jul 2017, In : Proceedings of the American Mathematical Society. 145, 7, p. 2785-2798 14 p.

Research output: Contribution to journalArticleResearchpeer-review

Stabilization
Model Category
Operad
Monoidal Category
Algebra

Homotopy theory for algebras over polynomial monads

Batanin, M. A. & Berger, C., 6 Feb 2017, In : Theory and Applications of Categories. 32, 6, p. 148-253 106 p.

Research output: Contribution to journalArticleResearchpeer-review

Homotopy Theory
Monads
Algebra
Polynomial
Operad

Baez-Dolan stabilization via (semi-)model categories of operads

White, D. & Batanin, M., 2016, Extended abstracts Spring 2015: interactions between representation theory, algebraic topology and commutative algebra. Herbera, D., Pitsch, W. & Zarzuela, S. (eds.). Cham, Switzerland: Birkhäuser, p. 175-179 5 p. (Trends in mathematics : research perspectives CRM Barcelona).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Model Category
Operad
Stabilization
Simplicial Set
Homotopy Theory

Operadic categories and duoidal Deligne's conjecture

Batanin, M. & Markl, M., 5 Nov 2015, In : Advances in Mathematics. 285, p. 1630-1687 58 p.

Research output: Contribution to journalArticleResearchpeer-review

Operad
Hochschild Cohomology
Monoidal Category
Multiplicative
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