Welcome to my website

All mathematics is divided into three parts:

  • cryptography (paid for by CIA, KGB and the like)
  • hydrodynamics (supported by manufacturers of atomic submarines)
  • celestial mechanics (financed by military and other institutions dealing with missiles, such as NASA).

Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing. Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry. The existence of mysterious relations between all these different domains is the most striking and delightful feature of mathematics (having no rational explanation).

(V. Arnold, Polymathematics: Is mathematics a single science or a set of arts? 1999)

Scientific Interest

  • Finite geometry, algebraic curves over finite fields, and their automorphisms
  • Incidence structures, Latin squares, designs, constructions of combinatorial objects
  • Nonassociative structures, Bol loops, and related group theory
  • Coding theory, algebraic-geometric codes, parameters, and decoding
  • Cryptography, nonlinearity of vectorial Boolean functions
  • Code-based post-quantum cryptography, true parameters of subfield subcodes

Publications

You can find an up-to-date list of my publications on the web page of the Hungarian Scientific Bibliography.