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Dr. Volker Genz is a mathematician specializing in algebra, combinatorics, and number theory, with a particular focus on crystal combinatorics, cluster varieties, and canonical bases. He has held research and teaching positions across Europe and Asia, and is currently a Research Fellow at the Korea Institute for Advanced Study.
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- About NewUU
- Research
- Admissions
- Student life
- News & Events
- Contact us
- Contact us
Genz Volker
Biography
Education
2014 – 2017: Dr. rer. nat. in Mathematics, University of Cologne
2003 – 2004: M.Sc. in Financial Mathematics, Stanford University
2000 – 2003: Diploma in Mathematics, Technical University of Darmstadt
Academic Positions
2025: Research Fellow, Korea Institute for Advanced Study, Seoul
2024 – 2025: Visiting Researcher, Institut des Hautes Études Scientifiques (IHES), France
2021 – 2024: Advanced Researcher, Institute for Basic Science – Center for Geometry and Physics, Pohang, Korea
2017 – 2021: Postdoctoral Researcher, Ruhr-University Bochum
2010 – 2016: Teaching Assistant, University of Cologne
2007 – 2010: Teaching Assistant, University of Bonn
2004 – 2007: Researcher, Max-Planck-Institute for Mathematics, Bonn
Teaching Experience
2019: Lecture – Algebraic Number Theory
Supervised B.Sc. theses in arithmetic of quadratic fields and reciprocity laws.
2007 – 2021: Organized and taught exercise classes in: Linear Algebra, Algebra, Analysis, Geometry, Algebraic Geometry, Homological Algebra, Number Theory, Cryptography, and Mathematics for Physicists/Engineers/Biologists.
2016: Instructor, Preparation Seminar for Mathematics (Abitur exam), Ludwig Windthorst Haus, Lingen
Selected Publications
- Genz, V., Koshevoy, G., & Schumann, B. (2022). Combinatorics of canonical bases revisited: String data in type A. Transformation Groups, 27, 867–895.
- Genz, V., Koshevoy, G., & Schumann, B. (2021). Combinatorics of canonical bases revisited: Type A. Selecta Mathematica New Series, 27(67), 45.
- Genz, V., Koshevoy, G., & Schumann, B. (2020). Polyhedral parametrizations of canonical bases & cluster duality. Advances in Mathematics, 369, 107–178.
Invited Talks
- August 2026: International Conference on Algebra, Geometry and Mathematical Physics, Tashkent, Uzbekistan.
- April 2025: Colloquium, Baku State University, Azerbaijan.
- July 2024: Seminar, Kyungpook National University, Daegu, Korea.
- June 2024: Seminar, Korea Institute for Advanced Study, Seoul, Korea.
- November 2023: Combinatorics and Arithmetic for Physics: 10th special days, IHES, Bures-sur-Yvette, France.
- January 2022: Poster presentation, 33rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC — 2021 edition), Bar-Ilan University, Israel.
Awards & Scholarships
2004 – 2007: International Max-Planck Research School Scholarship
2003 – 2004: Stanford University Tuition Fellowship
2003 – 2004: DAAD Annual Scholarship for Graduate Studies in the USA
