Dr. Nico Lorenz
Address:
Ruhr-Universität Bochum
Fakultät für Mathematik
Universitätsstraße 150
44801 Bochum
Room:
IB 2/127
Email:
nico.lorenz(at)ruhr-uni-bochum.de
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)
