# Petr Vojtechovsky

## Professor and Chair

303-871-3314 (Office)

Clarence M. Knudson Hall, 2390 S. York St. Denver, CO 80210

### What I do

I am a professor of mathematics and department chair.

### Specialization(s)

abstract algebra, combinatorics, knot theory

### Professional Biography

My research is concerned mostly with quasigroups, loops, latin squares, quandles and nonassociative algebra. My wider interests include combinatorics, algebra, computational algebra, computational geometry, algebraic knot theory and automated deduction.

### Degree(s)

- Ph.D., Mathematics, Charles University, 2003
- Ph.D., Mathematics, Iowa State University, 2001
- MS, Mathematics, Charles University, 1998

### Professional Affiliations

- American Mathematical Society
- Combinatorial Mathematics Society of Australasia

#### Key Projects

- Computational Aspects of Loop Theory
- 2nd Mile High Conference on Nonassociative Mathematics
- 3rd Mile High Conference on Nonassociative Mathematics
- Fourth Mile High Conference on Nonassociative Mathematics

### Featured Publications

(2018). Bol loops and Bruck loops of order pq up to isotopism. Finite Fields and their Applications, 52, 1-9.

. (2016). Connected quandles and transitive groups. Journal of Pure and Applied Mathematics, 220(2), 735-758.

. (2012). Cycle structure of autotopisms of quasigroups and latin squares. Journal of Combinatorial Designs, 20(5), 227-263.

. (2014). The structure of automorphic loops. Transactions of the American Mathematical Society.

. (2014). The structure of automorphic loops. Transactions of the American Mathematical Society.

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