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About

Degrees

Ph.D.
Mathematics
Comenius University, Slovakia
1979
B.S.
Mathematics
Comenius University, Slovakia
1974

Scholarship

I’ve published 100 scientific papers, mainly in discrete mathematics and theoretical computer science, with a couple of papers in number theory and topology—both of which appeared in the American Mathematical Monthly. My work in discrete mathematics covers areas like combinatorics, graph theory, design theory, and discrete geometry, while in computer science, I focus on coding theory, cryptography, algorithm complexity, and database security.
I also travel frequently, giving invited lectures at around 65 universities in 30 countries. These trips have led to many collaborative papers, co-authored with 60 researchers in total. 
I’ve solved four problems posed by Paul Erdös, as well as one by Donald Knuth, and my Erdös number is 1.

Long-term visiting research/teaching positions include:

•    Simon Fraser University (two academic years)
•    University of Nebraska (one academic year)
•    McMaster University (six months)
•    University of Bergen, Norway (six months in total)
•    University of Hawaii (twelve months in total)

Graduate Students:

I supervised the PhD theses of the following students:

  • Leticia B. Rodriguez, Federal University of Rio de Janeiro (2009), whose thesis was awarded second prize in the contest organized by the Brazilian Computer Science Society.
  • Viliam Hromada, Slovak University of Technology (2014).
  • Catarina Cruz, University of Aveiro, Portugal (2016).

Teaching

As part of the effort to integrate my research into teaching, I introduced two new courses: TMATH 412 - Cryptography and TMATH 413 - Coding Theory.

Academic Service

I have served on the editorial boards of the following journals:

  • Journal of Combinatorial Designs, Wiley & Sons, USA
  • Mathematica Slovaca, Springer Verlag / De Gruyter, Germany
  • Journal of Combinatorial Mathematics and Combinatorial Computing, Charles Babbage Research Center, Canada

I also served as guest editor for Volume 308, Issue 18 (2009) of Discrete Mathematics (Elsevier).

Additionally, I have reviewed for Zentralblatt für Mathematik, Mathematical Reviews, and nearly all leading journals in Graph Theory and Combinatorics.