Dr. David Lorch

I was a Ph.D. student in the DFG research training group "Experimental and Constructive Algebra" and have left RWTH Aachen University in 2016 to work in the industry.

How to contact me

david.lorch (at math.rwth-aachen.de)

Ph.D. thesis

Einklassige Geschlechter orthogonaler Gruppen / Single-class genera of orthogonal groups, 2019/2020. DOI PDF


(with Markus Kirschmer) Single-class Genera of Positive Integral Lattices, DOI PDF List of genera

(with Markus Kirschmer) One class genera of ternary quadratic forms over number fields, Journal of Number Theory. DOI PDF

Diploma thesis

Einklassige Geschlechter positiv definiter dreidimensionaler Gitter, 2011.

A talk held on October 18, 2011.


My research interest is genera of definite lattices over totally real number fields. My Ph.D. thesis (2019) focuses on a classification of those genera which consist of a single isometry class. I worked with Dr. Markus Kirschmer to incorporate relevant algorithms into the MAGMA computer algebra system.


as a Ph.D. student: as a student assistant: