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

Dr. T. Moede

Contact:

Teaching (archive):

Research interests:

Publications:

Theses:

Software:

Conferences:

2022

2021

2020

2019

2018

2016

2014

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