Michael Wibmer

Michael Wibmer

Visiting Assistant Professor

PhD in Mathematics, University of Heidelberg, Germany, 2010 

Email: mwibmer@nd.edu
Office: 230 Hayes-Healy Bldg
Phone: (574) 631-7797
Fax: (574) 631-6579

Mailing Address:
255 Hurley Bldg
Notre Dame, IN  46556-4618

For additional information see Michael Wibmer's personal website.

Research Interests

I am interested in algebraic, algorithmic and arithmetic aspects of differential and difference equations. This includes in particular the Galois theory of differential and difference equations and the theory of groups defined by algebraic difference equations. In my research I use methods from commutative algebra, algebraic geometry and the theory of algebraic groups. I am also interested in connections to model theory, combinatorics and number theory.

Selected Publications

  • Michael Wibmer. Picard-Vessiot extensions inside the ring of sequences. Appendix to The Dynamical Mordell-Lang Conjecture for skew-linear self-maps by Dragos Ghioca and Junyi Xie, to appear in IMRN.
  • Annette Bachmayr, David Harbater, Julia Hartmann and Michael Wibmer. Differential Embedding Problems over Complex Function Fields, Documenta Mathematica 23 (2018), 241-291.
  • Ivan Tomasić; and Michael Wibmer. Strongly étale difference algebras and Babbitt’s decomposition. Journal of Algebra 504 (2018), 10-38.
  • Alexey Ovchinnikov and Michael Wibmer. Tannakian categories with semigroup actions. Canadian Journal of Mathematics 69.3 (2017), 687-720.
  • Lucia Di Vizio, Charlotte Hardouin, and Michael Wibmer. Difference algebraic relations among solutions of linear differential equations. Journal of the Institute of Mathematics of Jussieu 16.1 (2017), 59-119.

Please direct questions and comments to: mwibmer@nd.edu