Personal profile
Research Interests
Functional Analysis, Operator Algebras and Quantum Information Theory
Professional Information
Operator spaces and C*-algebras, Noncommutative martingales and Noncommutative Lp-spaces, Quantum Games, Lindbladians
Education
PhD: 1991 Christian-Albrechts-Universität Kiel
Habilitation: 1996 Christian-Albrechts-Universität Kiel
Honors & Awards
Fellow, American Mathematical Society, 2017
Richard and Margaret Romano Professorial Scholar, College of LAS, University of Illinois, 2011-2014
J.L. Doob Scholar, Department of Mathematics, University of Illinois, 2011-2012
Associate, Center for Advanced Study, University of Illinois, 2010-2011
Office Address
Department of Mathematics
214C Harker Hall MC-382
Urbana, IL 61801
Office Phone
Teaching
Fall 2025
Introduction to Quantum Information Theory, Math 490 https://canvas.illinois.edu/courses/62730
Banach Space, Math 547 https://canvas.illinois.edu/courses/62728
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Collaborations and top research areas from the last five years
Research output
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Resource-Dependent Complexity of Quantum Channels
Araiza, R., Chen, Y., Junge, M. & Wu, P., Jan 8 2026, In: Quantum. 10, p. 1-18 18 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Complete positivity order and relative entropy decay
Gao, L., Junge, M., Laracuente, N. & Li, H., Feb 6 2025, In: Forum of Mathematics, Sigma. 13, e31.Research output: Contribution to journal › Article › peer-review
Open Access -
Embeddings of symmetric operator spaces into Lp-spaces, 1 ≤ p < 2, on finite von Neumann algebras
Huang, J., Junge, M., Sukochev, F. & Zanin, D., Sep 2025, In: Israel Journal of Mathematics. 268, 1, p. 73-116 44 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Graph Hörmander Systems
Li, H., Junge, M. & LaRacuente, N., Aug 2025, In: Annales Henri Poincare. 26, 8, p. 2683-2736 54 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Lower Bound for Simulation Cost of Open Quantum Systems: Lipschitz Continuity Approach
Ding, Z., Junge, M., Schleich, P. & Wu, P., Mar 2025, In: Communications in Mathematical Physics. 406, 3, 60.Research output: Contribution to journal › Article › peer-review