Academic Career and Research Areas

Prof. Kus' field of research lies in representation theory and its interaction with number theory, algebraic geometry, graph theory, and algebraic combinatorics. At the core of his research are, among other things, quantum groups of affine Kac-Moody algebras, the development of new quantizations and their structural analysis, their applications in mathematical physics, and the classification of regular subalgebras.

Prof. Kus studied mathematics and physics at the University of Cologne, where he obtained his PhD in 2013. After postdoctoral positions at the University of Cologne, the University of Bonn, and the Centre de recherches mathématiques, as well as research stays in California, Montréal, Paris, and Providence, he became an assistant professor at Ruhr-University Bochum. In 2025, he was appointed to the professorship for representation theory at TUM.

Habib I., Kus, D., Venkatesh R.: „Root generated subalgebras of symmetrizable Kac-Moody algebras“. Math. Res. Lett. (to appear).

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Barth L., Kus D.: „Prime representations in the Hernandez-Leclerc category: classical decompositions“. Canad. J. Math. 76 (2024), no. 6, 1987-2018.

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Chari V., Kus D., Odell M.: „Borel-de Siebenthal pairs, global Weyl modules and Stanley-Reisner rings“. Math. Z. 290 (2018), no. 1-2, 649-681.

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Kus D.: „ Representations of Lie superalgebras with fusion flags“. Int. Math. Res. Not. IMRN 2018, no.17, 5455-5485.

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Kus D.: „Realization of affine type A Kirillov-Reshetikhin crystals via polytopes“. J. Combin. Theory Ser. A 120 (2013), no. 8, 2093-2117.

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