Lehrstuhl D für Mathematik
Dr. Sebastian Schoennenbeck
I no longer work at RWTH Aachen University but can still be reached through my email-address.
Email: sebastian.schoennenbeck -at- rwth-aachen.de
A short CV
Database: "Unit groups of orders"
Database: "S-Unit groups of orders"
Publications
Automorphic Forms on Feit's Hermitian Lattices
, joint work with Neil Dummigan, preprint
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
, J. Algebra 501 (2018), 571-597.
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)