Professor, Department of Mathematics, University of Denver ()

Research interests
Nonassociative algebraic structures, particularly quasigroups, loops, latin squares, quandles and set-theoretic solutions of the Yang-Baxter equation.

Wider research interests
Algebra, combinatorics, computational algebra, computational geometry, algebraic knot theory and automated deduction.

  Curriculum Vitae
  Google Scholar profile
  Quasigroups and Related Systems (managing editor)
  Journal of Computational Algebra (associate editor)
  Mile High Conferences on Nonassociative Mathematics (main organizer, with Michael Kinyon)



News
  • Oct 23: manuscript "On abelian-by-cyclic Moufang loops" coauthored with Ales Drapal accepted to Forum Mathematicum
  • Oct 23: talk at the Panglobal algebra and logic seminar, University of Colorado, Boulder
  • Jun 23: with Gabor Nagy, delivered a series of lectures on computing with right quasigroups at Workshops Loops '23, Bedlewo, Poland
  • Jun 23: visited Pedro Lopes (Insituto Superior Tecnico, Lisbon), Joao Araujo (Nova University, Lisbon) and Raul Falcon (University of Seville)
  • Apr 23: talk "Nilpotence just beyond groups" talk at Groups, Nilpotence and Tensors 2023, Colorado State University
  • Apr 23: talk "Enumeration of groupoids, particularly right distributive groupoids" at Spring 2023 AMS Sectional Meeting, University of Cincinnati
  • Feb 23: manuscript "Abelian congruences and solvability in Moufang loops" coauthored with Ales Drapal accepted to Journal of Algebra
  • Feb 23: manuscript "Computing generating sets of minimal size in finite algebras" coauthored with Mikolas Janota and Antonio Morgado accepted to Journal of Symbolic Computation
  • Jan 23: manuscript "Supernilpotent groups and 3-supernilpotent loops" coauthored with David Stanovsky accepted to Journal of Algebra and its Applications
  • Jan 23: elected vice chair of the Rocky Mountain Mathematics Consortium
  • Nov 22: a plenary talk on solvability of Moufang loops at the III Brazilian Meeting on Loops and Nonassociative Systems

Petr Vojtechovsky

Petr, Petr Vojtechovsky, Petr Vojtechovsky homepage, nonassociative mathematics, quasigroups and loops, Moufang loops, University of Denver.