I am a postdoctoral researcher in the School of Mathematical and Statistical Sciences at the University of Galway. Here I work with Angela Carnevale and Tobias Rossmann on a project involving explicit computations of zeta functions of groups, algebras and other algebraic structures. In particular, I am interested in using machine learning to assist with these computations.

In general, my research is in the field of Algebra, more specifically Group Theory. This includes questions about groups, their representations and related combinatorial stractures. I obtained my PhD in the end of 2021 at the University of Auckland and I worked there as a research assistant and a lecturer until June 2023. I was a postdoc at the University of Western Australia from June 2023 to December 2024.

Papers

1. Proper partial linear spaces affording imprimitive rank 3 automorphism groups. (with Alice Devillers and Cheryl Praeger) Under review in J. of Algebra (preprint).
2. Base sizes for finite unitary and symplectic groups with solvable stabilisers. Accepted to publication in the Int. J. Algebra Comput. (preprint).
3. Base sizes for finite linear groups with solvable stabilisers. J. Group Theory (2025), published online ahead of press.
4. On algebraic normalisers of maximal tori in simple groups of Lie type. J. Group Theory 27 (2024), no. 6, pp. 1357-1383.
5. Rank three innately transitive permutation groups and related 2-transitive groups (with Alice Devillers and Cheryl Praeger). Innov. Incidence Geom. 20 (2023), no. 2-3, 135–175.
6. Intersection of conjugate solvable subgroups in symmetric groups. Algebra Logic 56 (2017), 87–97.

Theses

• Intersection of conjugate solvable subgroups in finite classical groups. PhD thesis, University of Auckland, 2021. (extended and improved version)
• Intersection of conjugate solvable subgroups in symmetric groups. Master’s thesis, Novosibirsk State University, 2016 (in Russian)
• Intersection of conjugate nilpotent subgroups in solvable groups. Bachelor’s thesis, Novosibirsk State University, 2014 (in Russian)

Selected talks

• Imprimitive partial linear spaces and groups of rank 3, Groups in Galway 2025, University of Galway, Ireland (slides)
• Imprimitive permutation groups of rank 3, Joint meeting of the NZMS, AustMS and AMS, University of Auckland, New Zealand 2024 (slides)
• Intersection of conjugate solvable subgroups in finite classical groups, The 5th Workshop on Algebraic Graph Theory and its Applications, Mathematical Center in Akademgorodok 2021 (video)
• On algebraic normalizers of maximal tori in simple groups of Lie type, Groups and Geometries 2019, University of Auckland, New Zealand (slides)

Employment

Since Jan 2025           Postdoctoral Researcher, School of Mathematical and Statistical Sciences, University of Galway.
Jun 2023 – Dec 2024   Research Associate, Department of Mathematics and Statistics, The University of Western Australia.
Jan 2023 – Jun 2023   Temporary Lecturer, Department of Mathematics, University of Auckland.
Jan 2022 – Jun 2022   Research Assistant, Department of Mathematics, University of Auckland.

Education

2021 PhD in Mathematics, University of Auckland.
2016 Master in Mathematics and Computer Science, Novosibirsk State University.
2014 Bachelor in Mathematics, Novosibirks State University.
2010 High School, M. A. Lavrentyev Specialized Educational Scientific Center of the Novosibirsk State University (Physics and Mathematics School).

Contacts

  Anton Baykalov
  School of Mathematical and Statistical Sciences
  University of Galway
  Galway
  H91 TK33
  Ireland

E-mail: anton.baykalov (at) universityofgalway.ie