Michael Schürmann

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Michael Schürmann
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Michael Schürmann (born 1955 in Dinslaken) is a German mathematician whose main interest lies in quantum probability. From 1995 to 1998 he was university professor for mathematics at the Université Louis Pasteur, Strasbourg I, France. In 1998 he accepted a position at the University of Greifswald, where he held the chair for algebra and functional analytical applications until his retirement in 2021.

Schürmann is married and has a daughter (born 1984) and a son (born 1988).[1]

Schürmann studied mathematics at the Ruhr University in Bochum until his intermediate diploma in 1975. He then moved to the Ruprecht-Karls-Universität Heidelberg, where he graduated in 1980 and received his doctorate in 1986 under Wilhelm von Waldenfels (dissertation: "Über *-Bialgebren und quantenstochastische Zuwachsprozesse").[2] In 1993 Schürmann also received his habilitation in Heidelberg. His habilitation thesis "White Noise On Bialgebras" appeared under the same title in the Springer series Lecture Notes In Mathematics.

Schürmann deals with non-commutative probability theory (or quantum probability) and made decisive contributions to the understanding of quantum Lévy processes and non-commutative generalizations of stochastic independence. The concept of the "Schürmann triple" is fundamental for the theory of stochastic processes on compact quantum groups. [3]

From 2002 to 2006 Schürmann was the coordinator of the EU network "Quantum Probability with Applications to Physics, Information Theory and Biology."[4] Schürmann was editor for both volumes of the Springer Lecture Notes in Mathematics Series "Quantum Independent Increment Processes"[5] and is a member of the editorial board of the journal Infinite Dimensional Analysis, Quantum Probability and Related Topics".[6]


White noise on bialgebras. Lecture Notes in Mathematics, 1544. Springer-Verlag, Berlin, 1993. vi+146 pp. ISBN: 3-540-56627-9

Mit Anis Ben-Ghorbal: Non-commutative notions of stochastic independence.  Math. Proc. Cambridge Philos. Soc. 133 (2002), no. 3, 531–561.


  1. Schürmanns CV: https://math-inf.uni-greifswald.de/storages/uni-greifswald/fakultaet/mnf/mathinf/schuermann/cv-schuermann.pdf
  2. "Michael Schürmann". Mathematics Genealogy Project. Retrieved 2021-03-30.{{cite web}}: CS1 maint: url-status (link)
  3. Franz, Uwe; Kula, Anna; Skalski, Adam: Lévy processes on quantum permutation groups. Noncommutative analysis, operator theory and applications, 193–259, Oper. Theory Adv. Appl., 252, Linear Oper. Linear Syst., Birkhäuser/Springer, [Cham], 2016.
  4. "Quantum probability with applications to physics, information theory and biology". Cordis. Retrieved 2021-03-30.{{cite web}}: CS1 maint: url-status (link)
  5. "Quantum Independent Increment Processes". springer.com.
  6. "IDAQP Editorial Board". www.worldscientific.com. Retrieved 2021-03-30.

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