Dr. Nico Lorenz
Faculty of Mathematics
Ruhr University Bochum
Universitätsstraße 150
D44780 Bochum
Germany
nico.lorenz [at] ruhrunibochum.de
Office: IB 2/127
Office Hours: Tue, 1415 h (during the semester) or by appointment
Research Interests
 Algebraic theory of quadratic forms, in particular Pfister forms and related objects such as MinorKTheory 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 Preproof, 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^nforms 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