Dr. Tobias Rossmann

PhD

Contact Details

Lecturer
School of Mathematical and Statistical Sciences
University of Galway
Galway H91 TK33
Ireland
T: +353 91 492043
E: tobias.rossmann (at) universityofgalway.ie
https://scholar.google.com/citations?user=9oDZZt8AAAAJ&hl=en
 
researcher
 

Biography

Academic employment: 
  • Lecturer in Mathematics, University of Galway, 2018-today. 
  • Feodor Lynen Postdoctoral Fellow (Alexander von Humboldt-Foundation), University of Auckland, 2016-2018. 
  • Postdoctoral Researcher, Bielefeld University, 2011-2016.

Research Interests

My research is in the field of algebra, mostly of the asymptotic or computational kind. In recent years, my main focus has been on zeta functions arising from algebraic counting problems such as the enumeration of subgroups, representations, or conjugacy classes.

Research Projects

  Project Start Date End Date
NEW FOUNDATIONS 2019 - GGG20 01-MAY-20 31-DEC-26

Peer Reviewed Journals

  Year Publication
(2024) 'Groups, graphs, and hypergraphs: average sizes of kernels of generic matrices with support constraints'
Rossmann, Tobias and Voll, Christopher (2024) 'Groups, graphs, and hypergraphs: average sizes of kernels of generic matrices with support constraints'. Mem. Amer. Math. Soc, 294 (1465) [DOI] [Details]
(2022) 'Enumerating conjugacy classes of graphical groups over finite fields'
Rossmann, T (2022) 'Enumerating conjugacy classes of graphical groups over finite fields'. Bulletin Of The London Mathematical Society, 54 (5):1923-1943 [DOI] [Details]
(2022) 'Linear relations with disjoint supports and average sizes of kernels'
Carnevale, A; Rossmann, T (2022) 'Linear relations with disjoint supports and average sizes of kernels'. Journal Of The London Mathematical Society-Second Series, 106 (3):1759-1809 [DOI] [Details]
(2020) 'The average size of the kernel of a matrix and orbits of linear groups, II: duality'
Rossmann, T (2020) 'The average size of the kernel of a matrix and orbits of linear groups, II: duality'. Journal Of Pure And Applied Algebra, 224 [DOI] [Details]
(2018) 'The average size of the kernel of a matrix and orbits of linear groups'
Rossmann, T (2018) 'The average size of the kernel of a matrix and orbits of linear groups'. Proceedings Of The London Mathematical Society, 117 :574-616 [DOI] [Details]
(2018) 'Computing local zeta functions of groups, algebras, and modules'
Rossmann, T (2018) 'Computing local zeta functions of groups, algebras, and modules'. Transactions Of The American Mathematical Society, 370 :4841-4879 [DOI] [Details]
(2017) 'Stability results for local zeta functions of groups algebras, and modules'
Rossmann, T (2017) 'Stability results for local zeta functions of groups algebras, and modules'. Mathematical Proceedings Of The Cambridge Philosophical Society, [DOI] [Details]
(2017) 'Enumerating submodules invariant under an endomorphism'
Rossmann, T (2017) 'Enumerating submodules invariant under an endomorphism'. Mathematische Annalen, 368 :391-417 [DOI] [Details]
(2016) 'Primitive finite nilpotent linear groups over number'
Rossmann, T (2016) 'Primitive finite nilpotent linear groups over number'. Journal Of Algebra, 451 :248-267 [DOI] [Details]
(2016) 'Topological representation zeta functions of unipotent groups'
Rossmann, T (2016) 'Topological representation zeta functions of unipotent groups'. Journal Of Algebra, 448 :210-237 [DOI] [Details]
(2015) 'Computing topological zeta functions of groups, algebras, and modules, II'
Rossmann, T (2015) 'Computing topological zeta functions of groups, algebras, and modules, II'. Journal Of Algebra, 444 :567-605 [DOI] [Details]
(2015) 'Computing topological zeta functions of groups, algebras, and modules, I'
Rossmann, T (2015) 'Computing topological zeta functions of groups, algebras, and modules, I'. Proceedings Of The London Mathematical Society, 110 :1099-1134 [DOI] [Details]
(2011) 'Primitivity testing of finite nilpotent linear groups'
Rossmann, T (2011) 'Primitivity testing of finite nilpotent linear groups'. Lms Journal Of Computation And Mathematics, 14 :87-98 [DOI] [Details]
(2010) 'Irreducibility testing of finite nilpotent linear groups'
Rossmann, T (2010) 'Irreducibility testing of finite nilpotent linear groups'. Journal Of Algebra, 324 :1114-1124 [DOI] [Details]

Book Chapters

  Year Publication
(2017) 'A Framework for Computing Zeta Functions of Groups, Algebras, and Modules'
Rossmann, T (2017) 'A Framework for Computing Zeta Functions of Groups, Algebras, and Modules' In: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. :561-586 Cham: Springer-Verlag. [DOI] [Details]

Conference Publications

  Year Publication
(2010) Computational group theory and the theory of groups, II
Eick, B; Rossmann, T (2010) Periodicities for graphs of p-groups beyond coclass Computational group theory and the theory of groups, II [Details]

Published Reports

  Year Publication
(2021) Towards a symbolic enumeration of orbits.
Rossmann, T (2021) Towards a symbolic enumeration of orbits. EMS Press, Computational Group Theory, Oberwolfach Reports, Volume 18, No. 3. [Details]
(2016) Computing zeta functions of groups, algebras, and modules.
Rossmann, T (2016) Computing zeta functions of groups, algebras, and modules. EMS Press, Computational Group Theory, Oberwolfach Reports, Volume 13, No. 3. [DOI] [Details]
(2011) Computing with nilpotent linear groups.
Rossmann, T (2011) Computing with nilpotent linear groups. EMS Press, Computational Group Theory, Oberwolfach Reports, Volume 8, No. 3. [DOI] [Details]

Computer Program

  Year Publication
(2022) Zeta 0.4.2.
Rossmann, T (2022) Zeta 0.4.2. Computer Program [Details]
(2020) fwtree 1.3.
Eick, B; Rossmann, T (2020) fwtree 1.3. Computer Program [Details]
(2019) Zeta 0.4.
Rossmann, T (2019) Zeta 0.4. Computer Program [Details]
(2017) Zeta 0.3.2.
Rossmann, T (2017) Zeta 0.3.2. Computer Program [Details]
(2016) Zeta 0.3.
Rossmann, T (2016) Zeta 0.3. Computer Program [Details]
(2015) Zeta 0.2.
Rossmann, T (2015) Zeta 0.2. Computer Program [Details]
(2014) Zeta 0.1.
Rossmann, T (2014) Zeta 0.1. Computer Program [Details]
(2011) finn 0.57.
Rossmann, T (2011) finn 0.57. Computer Program [Details]

Database

  Year Publication
(2021) Ask zeta functions associated with small graphs.
Rossmann, T (2021) Ask zeta functions associated with small graphs. Database [Details]

Professional Associations

  Association Function From / To
Irish Mathematical Society Member /

Education

  Year Institution Qualification Subject
2020 University of Galway Postgraduate Certificate Teaching and Learning in Higher Education
2017 Bielefeld University Habilitation Mathematics
2011 University of Galway PhD Mathematics
2008 TU Braunschweig Diplom Mathematics

Other Activities

  Description

Reviewer of journal articles and grant applications.

Modules Taught

  Term/Year Module Title Module Code Subject / Desc
2022/2023 Logic CS3304 Mathematics
2022/2023 Rings MA416 Mathematics
2022/2023 Mathematics for Decision Making I MA437 Mathematics
2021/2022 Computer Science CS102/CS103 Computer Science
2021/2022 Cryptography CS402 Mathematics
2021/2022 Mathematics for Decision Making I MA437 Mathematics
2020/2021 Computer Science CS102/CS103 Computer Science
2020/2021 Cryptography CS402 Mathematics
2020/2021 Linear Algebra MA313 Mathematics
2019/2020 Computer Science CS102/CS103 Computer Science
2019/2020 Cryptography CS402 Mathematics
2019/2020 Linear Algebra MA313 Mathematics
2018/2019 Computer Science CS102/CS103 Computer Science
2018/2019 Cryptography CS402 Mathematics
2018/2019 Linear Algebra MA313 Mathematics
2017/2018 Computer Science CS102 Computer Science