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Organisation
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Carl-Friedrich-Gauß-Fakultät
Institutes
Institute of Analysis and Algebra
Staff
Former Staff
Dr. T. Moede
Former Staff
F. Konieczny
N. Breustedt
A. Cant
Dr. B. Komander
H. Mahler
E. Naldi
L. Ngoupeyou-Tondji
Dr. T. Moede
R. Rauch
Dr. T. Moede
Contact:
E-mail: t.moede(at)tu-bs.de
Teaching (archive):
Winter Term 2022:
Geometrie (Übung)
Winter Term 2021/22:
Diskrete Mathematik für Informatiker
Winter Term 2020/21:
Zahlentheorie (Übung)
Winter Term 2019/20:
Algebraische Zahlentheorie
Summer Term 2019:
Algebra für Informatiker
Winter Term 2018/19:
Diskrete Mathematik für Informatiker
Summer Term 2018:
Mathematische Methoden in der Kommunikationstheorie
Winter Term 2017/18:
Ingenieurmathematik A für Studierende der Fakultät 3 (Große Übung)
Summer Term 2017:
Geheime Botschaften
Bachelor-Seminar Topologie
Research interests:
Computer algebra
(Nilpotent) associative algebras
Group theory
Coclass theory
(Modular) Lie algebras
Publications:
The word problem for polycyclic groups and nilpotent associative algebras
,
with Matthias Neumann-Brosig,
arXiv preprint (2022).
Galois trees in the graph of p-groups of maximal class,
with Alexander Cant, Heiko Dietrich and Bettina Eick,
J. Algebra 604, 429 - 450 (2022).
Computing subalgebras and Z_2-gradings of simple Lie algebras over finite fields,
mit Bettina Eick,
accepted by Communications in Mathematics,
Special Issue:
CIMPA School "Nonassociative Algebras and Its Applications", Madagascar 2020
The Modular Isomorphism Problem for small groups - revisiting Eick's algorithm,
with Leo Margolis,
arXiv preprint (2020).
Nilpotent quotients of associative Z-algebras and augmentation quotients of Baumslag-Solitar groups,
Mathematical software - ICMS 2020, Lecture Notes in Computer Science 12097 (2020).
A nilpotent quotient algorithm for finitely presented associative Z-algebras and its application to integral group rings,
with Bettina Eick,
75 Years of Mathematics of Computation,
Contemporary Math. 754, 327 - 341 (2020).
The enumeration of groups of order p^n*q for n ≦ 5,
with Bettina Eick,
J. Algebra 507, 571 - 591 (2018).
Classifying nilpotent associative algebras: small coclass and finite fields,
with Bettina Eick,
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 213 - 229 (2017).
Coclass theory for nilpotent associative algebras: Algorithms and a periodicity conjecture,
with Bettina Eick,
Exp. Mathematics 26(3), 267 - 274 (2017).
Nilpotent associative algebras and coclass theory,
with Bettina Eick,
J. Algebra 434, 249 - 260 (2015).
Theses:
Coclass theory for nilpotent associative algebras,
Ph.D. thesis, TU Braunschweig (2016).
Homotopy commutative H-spaces,
M. Sc. thesis, TU Braunschweig (2013).
Ng's cord algebra for knots,
B. Sc. thesis, Universität Hamburg (2011).
Software:
ccalgs,
(GAP 4 package)
Computation of coclass trees for nilpotent associative algebras,
with Bettina Eick
modisomext,
(GAP 4 package)
Extension of the ModIsom package,
with Leo Margolis
pnqporc,
(GAP 4 package)
PORC functions for the numbers of groups of order p^nq, n <= 5
zalgs,
(GAP 4 package)
Computation of nilpotent quotients of finitely presented associative Z-algebras
Conferences:
2022
Cohomology, Geometry and Explicit number theory (COGENT)
, June 2022, Université Grenoble Alpes. Institut Fourier, France
Talk: Coclass theory for nilpotent associative algebras
Tagung der Fachgruppe Computeralgebra
, March 2022, online
2021
The Modular Isomorphism Problem in Murcia
, September 2021, Universidad de Murcia, Spain
Talk: Computational approaches to the MIP
Workshop "Computational Group Theory"
, August 2021, Mathematisches Forschungsinstitut Oberwolfach, Germany
Short talk: Enumeration of groups of order p^n*q, n ≦ 5
2020
Groups in Galway 2020
, August 2020, NUI Galway, Ireland
International Congress on Mathematical Software
, July 2020, TU Braunschweig, Germany
Talk: A nilpotent quotient algorithm and its application to integral groups
Workshop "Algorithms for Linear Groups (20w5040)
, June 2020, Banff International Research Station, Canada
(cancelled due to covid-19)
International Workshop on Non-Associative Algebras in Málaga
, February 2020, University of Málaga, Spain
Talk: A nilpotent quotient algorithm and its application to integral groups
2019
International Workshop on Non-Associative Algebras in Porto
, April/May 2019, Unversidade do Porto, Portugal
Talk: A survey on algorithmic methods for Lie algebras
2018
Nikolauskonferenz 2018
, December 2018, RWTH Aachen, Germany
Talk: Searching for new simple Lie algebras in small characteristic
Oberseminar Groups and Geometry
, November 2018, Universität Bielefeld, Germany
Talk: Nilpotent associative algebras and coclass theory
Workshop on non-associative algebras and applications
, July 2018, University of Lancaster, England
Talk: Searching for new simple Lie algebras in small characteristic
DMV Jahrestagung 2018
, March 2018, Universität Paderborn, Germany
Talk: Coclass graphs for nilpotent associative algebras
Workshop "Non-associative algebras in Cádiz"
, February 2018, University of Cádiz, Spain
Talk: Nilpotent associative algebras and coclass theory
Reinhold-Baer-Kolloquium
, January 2018, TU Braunschweig, Germany
Talk: The groups of order p^n*q, n ≦ 5
2016
Thirty-Fourth Annual Victorian Algebra Conference
, November 2016, La Trobe University, Australia
Talk: Coclass theory for nilpotent associative algebras
Workshop "Computational Group Theory (1631)"
, August 2016, Mathematisches Forschungsinstitut Oberwolfach, Germany
Short talk: Nilpotent associative algebras and coclass theory
Minisymposium Computeralgebra, Gemeinsame Jahrestagung von GAMM und DMV
, March 2016, TU Braunschweig, Germany
Talk: Coclass theory for nilpotent associative algebras
2014
Workshop "Algorithms for Linear Groups (14w5031)"
, November 2014, Banff International Research Station, Canada
Talk: Coclass theory for nilpotent associative algebras
4th annual meeting of the DFG priority project 1489 (Algorithmic and Experimental Methods in Algebra, Geometry and Number theory)
, March 2014, Bad Boll, Germany
Talk: Coclass theory for nilpotent associative algebras
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