Lehrstuhl D für Mathematik
Dr. Sebastian Schoennenbeck
Lehrstuhl D für Mathematik
RWTH Aachen
Pontdriesch 14/16
52062 Aachen
Germany
Room 318
Email: sebastian.schoennenbeck -at- rwth-aachen.de  
Phone: +49-(0)241-80-97552  
Sprechstunde: Nach Vereinbarung
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A short CV
Database: "Unit groups of orders"
Database: "S-Unit groups of orders"

Publications
  • Computing S-unit groups of orders, preprint
  • Appendix to: The mod 2 cohomology rings of congruence subgroups in the Bianchi groups by E. S. Berkove, G. S. Lakeland and A. D. Rahm, preprint (joint with Bui Anh Tuan)
  • Simultaneous computation of Hecke operators, preprint
  • Resolutions for unit groups of orders J. Homotopy Relat. Struct. (2016)
  • Computing in arithmetic groups with Voronoi's algorithm (joint work with Renaud Coulangeon, Gabriele Nebe and Oliver Braun), J. Algebra 435 (2015), 263-285.

  • Software
  • Algorithms for computing Hecke operators on algebraic modular forms for symplectic groups
  • Some contractible complexes for automorphism groups of rank 3 modules over imaginary quadratic integers in HAP-format
  • Some contractible complexes for automorphism groups of rank 2 modules over real quadratic integers in HAP-format
  • Some contractible complexes for automorphism groups of rank 2 modules over imaginary quadratic integers in HAP-format
  • Some contractible complexes for special automorphism groups of rank 2 modules over imaginary quadratic integers in HAP-format
  • Theses
  • My dissertation thesis Hecke Operators for Algebraic Modular Forms
  • My master thesis Homologiegruppen von Einheitengruppen von Ordnungen (German)
  • My bachelor thesis Burnsideringe und Thetareihen (German)

  • Selected talks
  • Computing in unit groups of orders with Voronoi's algorithm (Luxembourg number theory seminar in December 2016)
  • S-arithmetic groups in quantum computing (MFO mini-workshop 1644c in November 2016)
  • Algorithms for algebraic modular forms (Algebra Seminar at UPenn in March 2016)
  • Simultaneous computation of Hecke operators (MFO workshop 1603 in January 2016)
  • Algorithmic treatment of algebraic modular forms (Diamant Symposium in Lunteren in November 2015)
  • Computing unit groups of orders (joint with Gabriele Nebe and Oliver Braun , annual conference of the DFG priority project SPP 1489 "Algorithmic and experimental methods in algebra, geometry and number theory" in Bad Boll in March 2014)
  • Resolutions for unit groups of orders (seminar of the school for mathematics, statistics and applied mathematics of NUI Galway in October 2013)
  • Homology groups of unit groups of orders (s2am in Hamburg in September 2013)