1. Minimal representatives and the isomorphism problem for graph-like objects
   Algebra Colloquium, Charles University, Prague, Czech Republic, December 3, 2024.
2. Solvability and nilpotence just beyond groups
   European Non-Associative Algebra Seminar, Portugal, October 30, 2023 (remotely).
3. Solvability and supernilpotence in varieties close to groups
   Panglobal algebra and logic seminar, University of Colorado, Boulder, October 3, 2023.
4. Quandles: Introduction and recent developments
   Instituto Superior Tecnico, Lisbon, Portugal, June 7, 2023.
5. Commutator theory, nilpotence and solvability beyond groups
   Algebra seminar, Nova University of Lisbon, Portugal, June 5, 2023.
6. Quandles and other classes of set-theoretic solutions of the Yang-Baxter equation
   LieJor Online Seminar: Algebras, Representations, and Applications, University of Sao Paulo, Brazil, September 16, 2021 (online).
7. Enumeration in nonassociative algebra
   Kempner Colloquium, University of Colorado, Boulder, April 17, 2018.
8. The isomorphism problem for nilpotent algebras
   Algebra seminar, University of Colorado, Boulder, April 17, 2018.
9. On the classification of involutory latin quandles
   Algebraic combinatorics seminar, Colorado State University, Fort Collins, November 10, 2017.
10. Bol loops of order pq
    Algebra and combinatorics seminar, Iowa State University, Ames, Iowa, November 16, 2015.
11. How permutations displace points and separate neighbors
    Algebra and combinatorics seminar, Iowa State University, Ames, Iowa, November 2, 2015.
12. Automated deduction in research mathematics
    Mathematics colloquium, Iowa State University, Ames, Iowa, October 27, 2015.
13. Oriented knots and transitive groups
    Algebra and combinatorics seminar, Iowa State University, Ames, Iowa, October 19, 2015.
14. Oriented knots, quandles and transitive groups
    Algebra seminar, Michigan State University, Lansing, Michigan, September 29, 2015.
15. Expanding number systems beyond complex numbers
    Mathematics colloquium, Northern Michigan University, Marquette, Michigan, September 2015.
16. Connected quandles and ...
    Algebraic combinatorics seminar, Colorado State University, Fort Collins, September 12, 2014.
17. Tessellations with and without symmetry
    Gildar Gallery, Denver, Colorado, January 18, 2014.
18. Computational methods in abstract algebra
    Colloquium, University of Wyoming, Laramie, Wyoming, September 2012.
19. Computational aspects of loop theory
    MathCS seminar, Chapman University, Orange, California, August 2012.
20. Computational aspects of loop theory
    algebra seminar, Charles University in Prague, Czech Republic, May 2012.
21. A GAP tutorial
    algebra seminar, Memorial University, St John's, Canada, August 2010.
22. Transversals in Latin squares
    seminar, Federal University of ABC, Santo Andre, Brazil, August 2009.
23. Enumeration of nilpotent loops by means of cohomology
    Algebra seminar, University of Sao Paulo, Sao Paulo, Brazil, August 2009.
24. Combinatorial designs based on coset decompositions
    Algebra seminar, Charles University in Prague, Czech Republic, April 2009.
25. Enumeration of nilpotent loops by means of cohomology
    Algebra seminar, Charles University in Prague, Czech Republic, April 2009.
26. Lengths of rainbow cycles in complete graphs
    Combinatorics seminar, Monash University, Melbourne, Australia, March 2009.
27. Automated deduction and research mathematics
    Mathematics and Computer Science colloquium, Monash University, Melbourne, Australia, February 2009.
28. Enumeration of nilpotent loops by means of cohomology
    Combinatorics seminar, Monash University, Melbourne, Australia, February 2009.
29. Enlarging the mathematical world by the Cayley-Dickson process
    Pi Mu Epsilon, Western Michigan University, Kalamazoo, Michigan, September 2008.
30. Enumeration of nilpotent loops via cohomology
    Algebra seminar, Western Michigan Unievrsity, Kalamazoo, Michigan, September 2008.
31. Code loops of both parities and sporadic groups
    Mathematics Colloquium, Western Michigan University, Kalamazoo, Michigan, September 2008.
32. Combinatorial polarization and multilinear forms
    Kempner Colloquium, University of Colorado, Boulder, March 2008.
33. Codes associated with code loops
    Algebraic combinatorics seminar, Colorado State University, Fort Collins, February 2008.
34. Code loops
    Algebra seminar, Erlangen University, Erlangen, Germany, July 2007.
35. Map labeling with an introduction to computational complexity
    Jeppesen, Centennial, Colorado, August 2007.
36. Combinatorial problems as dynamical systems
    Algebraic combinatorics seminar, Colorado State University, Fort Collins, February 2007.
37. Exponential forms and combinatorial polarization
    Algebraic combinatorics seminar, Colorado State University, Fort Collins, March 2006.
38. Permutations that most displace points and stretch intervals, and their possible usage in turbo coding
    Cryptography seminar, Charles University, Prague, December 6, 2005.
39. Unit disk covering problems
    Algebraic Combinatorics seminar, Colorado State University, Fort Collins, March 2005.
40. Extensions based on Steiner triple systems
    Algebraic seminar, Charles University, Department of Algebra, Prague, Czech Republic, Dec 6, 2004.
41. Extensions based on Steiner triple systems
    Algebraic Combinatorics seminar, Colorado State University, Fort Collins, November 2004.
42. Wreath products, dynamical systems, and the interplay between commutativity and associativity
    Algebraic Combinatorics seminar, Colorado State University, Fort Collins, April 2004.
43. Some combinatorial problems in communication
    Colorado State University, Algebraic Combinatorics Seminar, Dec 5, 2003.
44. Combinatorial polarization and codes of high level
    Algebraic combinatorics seminar, Colorado State University, April 18, 2003.
45. Distances of groups and loops
    Kempner Colloquium, University of Colorado, Boulder, October 14, 2002.
46. Distances of groups and loops
    Algebraic Combinatorics Seminar, Colorado State University, Fort Collins, October 11, 2002.
47. Introduction to counting: infinity and beyond
    University of Illinois, Springfield, Illinois, February 2002.
48. Reconstruction of group multiplication tables by quadrangle criterion
    Combinatorial seminar, Iowa State University, February 2002.
49. Automorphism groups of Paige loops
    Combinatorial seminar, Iowa State University, October 2001.
50. Finite fields and algebraic codes
    4 talks, Iowa State University, finite fields seminar, 2001.
51. 3-webs and finite simple loops
    Iowa State University, Combinatorial Seminar, 3 talks, October 2000.
52. Polarization and trilinear alternating forms
    ISU combinatorial seminar, April 2000.
53. Generators of nonassociative simple Moufang loops
    ISU combinatorial seminar, two talks, April 2000.
54. Generators of integral octonions of unit norm
    Grad. students colloqium, ISU, December 1999
55. Turbo codes, convolutional codes, iterative decoding
    ISU combinatorial seminar (2 talks), October 1999.
56. Polarized mappings and binary linear codes
    ISU combinatorial seminar on April 1999. All detailed proofs included. I started to call polarized mappings derived forms later.
57. . On distances of groups
    ISU Combinatorial seminar, 2 talks, September 1998
58. On Hamming dstances of groups
    Algebraic Seminar, Charles University, 1998
59. numerous talks at student algebraic seminar, Charles University, 1996-1998