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
Publications
(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.
Research
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.
Teaching
as a Ph.D. student:
- Winter 2015: Begleitpraktikum I (for Prof. Alice Niemeyer)
- Summer 2015: Begleitpraktikum II (for Prof. Wilhelm Plesken)
- Winter 2014: Begleitpraktikum I (for Prof. Wilhelm Plesken)
- Summer 2013: Quadratic Forms (for Prof. Gabriele Nebe)
as a student assistant:
- Summer 2011: Algebraic Number Theory (for Prof. Gabriele Nebe)
- Summer 2010: Computational Algebra (for Prof. Gabriele Nebe)
- Spring 2010: C++ programming for math students (for PD Dr. Helmut Jarausch)
- Winter 2009: Algebra (for Prof. Julia Hartmann)
- Summer 2009: Coding Theory (for Prof. Wolfgang Willems)
- Summer 2009: Computational Algebra (for Prof. Wilhelm Plesken)
- Spring 2009: C++ programming for math students (for PD Dr. Helmut Jarausch)
- Winter 2008: Linear Algebra II (for Prof. Wilhelm Plesken)
- Summer 2008: Linear Algebra I (for Prof. Wilhelm Plesken)
- Spring 2008: C++ programming for math students (for PD Dr. Helmut Jarausch)