Research Interests
$\bullet$ Operator algebras and noncommutative geometry.
$\bullet$ Structure and classification of nuclear C$^{*}$-algebras.
$\bullet$ Topological dynamics.
$\bullet$ Noncommutative dynamical systems.
$\bullet$ Operator algebras and model theory.
• Castillejos, Jorge; Evington, Samuel; Tikuisis, Araon; White, Stuart; Winter, Wilhelm Nuclear dimension of simple C*-algebras. Inventiones Mathematicae Vol. 224, 2020 online
• Christensen, Erik; Sinclair, Allen M.; Smith Roger R.; White, Stuart A.; Winter, Wilhelm Perturbations of nuclear C*-algebras. Acta Mathematica Vol. 208 (1), 2012, pp 93-150 online
• Farah, Ilijas; Hart, Bradd; Lupini, Martino, Robert L.; Tikuisis, Aaron; Vignati, Alessandro; Winter, Wilhelm Model theory of C*-algebras. Memoirs of the American Mathematical Society Vol. 271 (1324), 2021 online
• Sato, Yasuhiko; White, Stuart; Winter, Wilhelm Nuclear dimension and Z-stability. Inventiones Mathematicae Vol. 202 (2), 2015, pp 893-921 online
• Tikuisis, Aaron; White, Stuart; Winter, Wilhelm Quasidiagonality of nuclear C*-algebras. Annals of Mathematics Vol. 185 (1), 2017, pp 229-284 online
• Winter, Wilhelm Decomposition rank and Z-stability. Inventiones Mathematicae Vol. 179 (2), 2010 online
• Winter, Wilhelm Nuclear dimension and Z-stability of pure C*-algebras. Inventiones Mathematicae Vol. 187 (2), 2012, pp 259-342 online
• Winter, Wilhelm Classifying crossed product C*-algebras. American Journal of Mathematics Vol. 138 (3), 2016, pp 793-820 online
• Winter, Wilhelm; Zacharias, Joachim The nuclear dimension of C*-algebras. Advances in Mathematics Vol. 224 (2), 2010, pp 461-498 online
Recent Publications of Prof. Dr. Wilhelm Winter
$\bullet $ Kristin Courtney and Wilhelm Winter. Nuclearity and ${\mathrm {CPC}^*}$ -systems. Forum of Mathematics, Sigma, 13:e59, March 2025. doi:10.1017/fms.2024.123.
$\bullet $ Grigoris Kopsacheilis and Wilhelm Winter. Diagonal comparison of ample C$^*$-diagonals. arXiv e-prints, October 2024. arXiv:2410.05967.
$\bullet $ Philipp Sibbel and Wilhelm Winter. A Cantor spectrum diagonal in O$_2$. arXiv e-prints, September 2024. arXiv:2409.03511.
$\bullet $ Kristin Courtney and Wilhelm Winter. Images of order zero maps. arXiv e-prints, December 2023. arXiv:2312.08215.
$\bullet $ Kristin Courtney and Wilhelm Winter. Nuclearity and CPC$^*$-systems. arXiv e-prints, April 2023. arXiv:2304.01332.
$\bullet $ Kang Li, Hung-Chang Liao, and Wilhelm Winter. The diagonal dimension of sub-$\mathrm C^*$-algebras. arXiv e-prints, March 2023. arXiv:2303.16762.
$\bullet $ Ilijas Farah, Bradd Hart, Martino Lupini, Leonel Robert, Aaron Tikuisis, Alessandro Vignati, and Wilhelm Winter. Model theory of $\rm C^*$-algebras. Mem. Amer. Math. Soc., 271(1324):viii+127, May 2021. doi:10.1090/memo/1324.
$\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Nuclear dimension of simple C$^*$-algebras. Inventiones mathematicae, 224(1):245–290, April 2021. doi:10.1007/s00222-020-01013-1.
$\bullet $ Laura Brake and Wilhelm Winter. The Toeplitz algebra has nuclear dimension one. Bull. Lond. Math. Soc., 51(3):554–562, April 2019. doi:10.1112/blms.12250.
$\bullet $ Joan Bosa, Nathanial P. Brown, Yasuhiko Sato, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Covering dimension of $\rm C^*$-algebras and 2-coloured classification. Mem. Amer. Math. Soc., 257(1233):vii+97, January 2019. doi:10.1090/memo/1233.