Contact Information
363 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
One complex variable, Möbius groups, quasiconformal maps, complex dynamics.
Research Description
Functional analysis, Operator spaces and C*-algebras, noncommutative martingales and noncommutative Lp-spaces, Quantum Information Theory
Education
PhD: 1991 Christian-Albrechts-Universität Kiel
Habilitation: 1996 Christian-Albrechts-Universität Kiel
Awards and Honors
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
External Links
Recent Publications
Junge, M., Mei, T., Parcet, J., & Xia, R. (2021). Algebraic Calderón-Zygmund theory. Advances in Mathematics, 376, [107443]. https://doi.org/10.1016/j.aim.2020.107443
Junge, M., Scheckter, T. T., & Sukochev, F. (2021). A noncommutative generalisation of a problem of Steinhaus. Journal of Functional Analysis, 280(2), [108782]. https://doi.org/10.1016/j.jfa.2020.108782
Caspers, M., Junge, M., Sukochev, F., & Zanin, D. (2020). BMO-estimates for non-commutative vector valued Lipschitz functions. Journal of Functional Analysis, 278(3), [108317]. https://doi.org/10.1016/j.jfa.2019.108317
Gao, L., Junge, M., & LaRacuente, N. (2020). Fisher Information and Logarithmic Sobolev Inequality for Matrix-Valued Functions. Annales Henri Poincare, 21(11), 3409-3478. https://doi.org/10.1007/s00023-020-00947-9
Gao, L., Junge, M., & Laracuente, N. (2020). Relative entropy for von Neumann subalgebras. International Journal of Mathematics, 31(6), [20500469]. https://doi.org/10.1142/S0129167X20500469