Homepage of Mikko Korhonen

I am currently at the Southern University of Science and Technology.

Previously I worked at the University of Manchester, funded by a postdoctoral fellowship from the SNSF. Before that I was at the École Polytechnique Fédérale de Lausanne, where I obtained my PhD under the supervision of Donna Testerman.

My main research interests are in group theory and representation theory. I am especially interested in simple algebraic groups and their subgroup structure, representation theory, and various properties of unipotent elements. In finite group theory, my interests are in topics related to groups of Lie type over finite fields, and primitive permutation groups.

Book

  1. Maximal Solvable Subgroups of Finite Classical Groups.
    Lecture Notes in Mathematics, vol. 2346, Springer, 2024, viii+298.
    ISBN: 978-3-031-62914-3

    You can read the first chapter here.

    MAGMA code for computing maximal irreducible solvable subgroups of GL(n,q) is available here.

Papers

  1. Structure of an exotic 2-local subgroup in E7(q).
    Preprint. arXiv
     
  2. Orthogonal irreducible representations of finite solvable groups in odd dimension.
    Bulletin of the London Mathematical Society, 56 (2024), no. 1, 444-448. arXiv
     
  3. Adjoint Jordan blocks for simple algebraic groups of type Cl in characteristic two.
    European Journal of Mathematics, 10 (2024), no. 1, 2. arXiv
     
  4. Representatives for unipotent classes and nilpotent orbits (with David Stewart and Adam Thomas).
    Communications in Algebra, 50 (2022), no. 4, 1641-1661. arXiv
     
  5. Systems of imprimitivity for wreath products (with Cai Heng Li).
    Journal of Algebra, 587 (2021), 628-637. arXiv
     
  6. Decomposition of exterior and symmetric squares in characteristic two.
    Linear Algebra and its Applications, 624 (2021), 349-363. arXiv
     
  7. Jordan blocks of nilpotent elements in some irreducible representations of classical groups in good characteristic.
    Journal of Pure and Applied Algebra, 225 (2021), no. 8, 106694, 10 pp. arXiv
     
  8. A counterexample to a conjugacy conjecture of Steinberg.
    Transformation Groups, 25 (2020), 1209-1222. arXiv
     
  9. Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two.
    Journal of Algebra, 559 (2020), 268-319. arXiv
     
  10. Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic.
    Proceedings of the American Mathematical Society, 147 (2019), 4205-4219. arXiv
     
  11. Unipotent elements forcing irreducibility in linear algebraic groups.
    Journal of Group Theory, 21 (2018), 365-396. arXiv
     
  12. Invariant forms on irreducible modules of simple algebraic groups.
    Journal of Algebra, 480 (2017), 385-422. arXiv
     

Thesis

  1. Reductive overgroups of distinguished unipotent elements in simple algebraic groups.
    Ph.D. thesis, École Polytechnique Fédérale de Lausanne (2018).

Tables of Jordan block sizes

Jordan blocks of unipotent elements on 2-restricted irreducible representations


Lecture notes

Group theory (Autumn 2021)


Contact information

Address: Shenzhen International Center for Mathematics
Southern University of Science and Technology
1088 Xueyuan Road
Shenzhen 518055
Guangdong, P. R. China
Email:  korhonen_mikko@0987654321hotmail.com