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)



No, this is not a pedestal for my statue, but rather for St. Peter (PETRVS) in Madrid. I managed to block the 'S' and photoshopped out the top of the 'V' peeking out above my right shoulder.
News
  • Nov 25: paper "Bol loops of order 27" accepted to IJAC, coauhtored with Alexandr Grishkov and Michael Kinyon
  • Oct 25: delivered a grad colloquium talk on quandles at Penn State
  • Aug 25: with Sujoy Mukherjee, co-organized a special session "Nonassociative algebraic structures" at AMS Western Sectional Meeting
  • Aug 25: Jesse Parrish, my PhD student, successfully defended thesis "Principal quandles". Congrats!
  • July 25: plenary talk "Supernilpotence: Finite axiomatization" at ConfQRS 2025, Moldova State Univesity, Chisinau, Moldova
  • July 25: started as department chair
  • June 25: workshop lecture "Multi-virtual knot theory and operator quandles" at SchoolQRS 2025, Moldova State Univesity, Chisinau, Moldova
  • June 25: plenary talk "Enumeration of quandles: Part 1" at AGTA 2025, University of Napoli, Italy
  • May 25: talk "Operator quandles for multi-virtual knot theory" at AMS Western Sectional Meeting, Cal Poly San Luis Obispo
  • Dec 24: talk "Minimal representatives and the isomorphism problem for graph-like objects" at Algebra Colloquium, Charles University, Czech Republic
  • Sep 24: talk "Recognizing algebraic properties from multiplication tables" at AITP '24, Aussois, France
  • Jul 24: manuscript "Minimal representatives of endofunctions" coauthored with Sujoy Mukherjee accepted to Semigroup Forum

Petr Vojtechovsky

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