Dr. Nico Lorenz
Address:
Ruhr-Universität Bochum
Fakultät für Mathematik
Universitätsstraße 150
44801 Bochum
Room:
IB 2/123
Email:
nico.lorenz(at)ruhr-uni-bochum.de
Office Hours:
Mon, 10:30 - 11:30 or by appointment
In Front of the Broom Bridge, the place where the quaternions have been invented!
Research Interests
- Algebraic theory of quadratic forms: Pfister forms, Quaternion Algebras, related objects such as Milnor-K-Theory and Galois cohomology
- Combinatorial structures arising from quadratic forms: graphs, association schemes.
Publications and Preprints
- Diameter and Girth of Representation Graphs of Quadratic Forms (with Marc C. Zimmermann).
Preprint 2025 - On Generalised Albert Forms over Discretely Valued Fields
Preprint 2024 - On the Symbol Lengthof Fields with finite Square Class Number (with Detlev Hoffmann).
Homology, Homotopy and Applications, 2025. - Isotropy indices of Pfister multiples in characteristic two (with Kristyna Zemkova).
Journal of Pure and Applied Algebra, 2024. - Cliques in Representation Graphs of Quadratic Forms
(with Marc C. Zimmermann).
Preprint 2023, accepted modulo revision. - On I^n-forms over field extensions
Journal of Algebra and Its Applications, 2024. - Pfister Numbers over Rigid Fields
Communications in Algebra, 2023 - Supreme Torsion Forms
Communications in Algebra, 2022.
Teaching
Summer Term 2025
- Tutorials Number Theory (lecture by Markus Reineke)
Winter Term 2024/2025
- Tutorials Linear Algebra (lecture by Christoph Thäle)
Summer Term 2024:
- Lecture Topics in Galois Theory
- Tutorials Commutative Algebra (Algebra 2) (lecture by Markus Reineke)
Winter Term 2023/ 2024:
- Lecture Algebraic theory of quadratic forms
- Tutorials Algebra 1 (lecture by Markus Reineke)
Sommer Term 2023:
- Tutorials Mathematics for Engineers 2 (lecture by Markus Reineke)
Winter Term 2022/ 2023:
- Tutorials Mathematics for Engineers 1 (lecture by Markus Reineke)
Summer Term 2022:
- Tutorials Commutative Algebra (lecture by Markus Reineke)
- Tutorials Number Theory (lecture by Jörg Winkelmann)
