Genz Volker

Biography

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.

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

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.

(Full publication list available upon request)

Current Teaching

• Spring Semester 2026: Introduction to Number Theory and Cryptography (course webpage).
• Office hours: Friday 15:30–16:30, Office 216.

Selected Talks and Presentations

• 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.