Genz Volker

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.

2014 – 2017: Dr. rer. nat. in Mathematics, University of Cologne

Thesis: Crystal Combinatorics and Mirror Symmetry for Cluster Varieties

Advisor: Prof. Dr. Peter Littelmann

2003 – 2004: M.Sc. in Financial Mathematics, Stanford University

2000 – 2003: Diploma in Mathematics, Technical University of Darmstadt

Thesis: Über diskrete Bewertungen von Bézoutringen

Advisor: Prof. Dr. Norbert Schappacher

2025 – present: 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

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

1. Genz, V., Keller, B., & Koshevoy, G. (2025). Products of Reddening Sequences (in preparation).
2. Genz, V. (2024). Non-vanishing of a family of congruent number L-values via Heegner geodesics (preprint).
3. Genz, V., Koshevoy, G., & Schumann, B. (2022). Combinatorics of canonical bases revisited: String data in type A. Transformation Groups, 27, 867–895.
4. Genz, V., Koshevoy, G., & Schumann, B. (2021). Combinatorics of canonical bases revisited: Type A. Selecta Mathematica New Series, 27(67), 45.
5. 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)

2024: Seminar, Kyungpook National University, Daegu, Korea

2024: Seminar, Korea Institute for Advanced Study, Seoul

2023: Combinatorics and Arithmetic for Physics, IHES, France

2021: FPSAC 33rd International Conference, Bar-Ilan University, Israel

2017: Oberseminar Representation Theory, Universität Bonn, Germany

2016: Workshop on Lie Groups & Random Systems, Les Diablerets, Switzerland

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