Dr. Nico Lorenz

Faculty of Mathematics
Ruhr University Bochum
Universitätsstraße 150
D-44780 Bochum
Germany

nico.lorenz [at] ruhr-uni-bochum.de

Office: IB 2/127

Office Hours: Tue, 14-15 h (during the semester) or by appointment

Research Interests

- Algebraic theory of quadratic forms, in particular Pfister forms and related objects such as Minor-K-Theory and Galois cohomology
- Combinatorial aspects of quadratic forms

Publications and Preprints

On Generalised Albert Forms over Discretely Valued Fields
Preprint 2024
Isotropy indices of Pfister multiples in characteristic two
(with Kristyna Zemkova). Journal Pre-proof, 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
published online 2023, to appear in Journal of Algebra and Its Applications
Supreme Torsion Forms published online 2022, Communications in Algebra
Pfister Numbers over Rigid Fields published online 2022. Communications in Algebra
On the Symbol Length of Fields with finite Square Class Number (with Detlev Hoffmann). To appear in Homology, Homotopy and Applications, 2024.

Teaching

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)

Further Information

Orcid
Research Gate
Google Scholar
Old Homepage at TU Dortmund