Professor Markus Szymik
School of Mathematical and Physical Sciences
Professor of Pure Mathematics
Full contact details
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Profile
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Prof Szymik studied mathematics and philosophy in Göttingen and wrote his dissertation (Dr. math.) in Bielefeld. After assistant and visiting positions in Bochum, Bielefeld, Düsseldorf, and København, he moved to Trondheim, where he was a professor from 2018. He has also been invited to research stays at MIT, Harvard University, the Hausdorff-Institut in Bonn, Stanford University, the Mittag-Leffler Institute in Stockholm, the Isaac Newton Institute in Cambridge, and Oxford University. In 2022, he joined the School of Mathematics and Statistics in Sheffield. His research focuses on symmetries in algebra, geometry, and topology.
- Research interests
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Prof Szymik's research revolves around symmetries in topology, geometry, and algebra. He uses homotopy theory and homological algebra, representation theory and K-theory to understand groups and their generalisations. These methods have applications far beyond the study of symmetry: they have been used in data and computer science (topological data analysis, homotopy type theory, and topological quantum computing). On the theoretical side, he is currently thinking about knot theory and analogies with number theory.
- Publications
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Journal articles
- Preludes to the Eilenberg–Moore and the Leray–Serre spectral sequences. Documenta Mathematica, 29(6), 1319-1339.
- Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories. Mathematical Proceedings of the Cambridge Philosophical Society.
- Generalisations of Loday's assembly maps for Lawvere’s algebraic theories. Journal of the Institute of Mathematics of Jussieu.
- Preludes to the Eilenberg–Moore and the Leray–Serre spectral sequences. Documenta Mathematica, 29(6), 1319-1339.