Publications

Articles

1. On the solvability of some special equations over finite fields
Publ. Math. Debrecen 68, (2006) 15-23. preprint

2. The lex game and some applications
J. Symbolic Computation 41, (2006) 663-681. (with L. Rónyai and B. Ráth) preprint
The algorithm implemented in SINGULAR can be downloaded.

3. On the lexicographic standard monomials of zero dimensional ideals
Proc. 10th Rhine Workshop on Computer Algebra (RWCA) (2006) 95-105. (with L. Rónyai) preprint

4. Algebraic properties of modulo q complete l-wide families
Combinatorics, Probability and Computing 18, (2009) 309-333. (with G. Hegedűs and L. Rónyai) preprint

5. Some meeting points of Gröbner bases and combinatorics
Algorithmic Algebraic Combinatorics and Grobner Bases, (ed. G. Jones, A. Jurisic, M. Muzychuk and I. Ponomarenko), submitted in February 2007. (with L. Rónyai) preprint

Other papers

1. On the solvability of generalized diagonal equations over finite fields (in Hungarian)
Contest of Scientific Research, 2002.

2. Standard monomials and Gröbner bases of vanishing ideals of finite sets (in Hungarian)
Diploma thesis, 2004. (abstract in English).

3. Introduction to the theory of Gröbner bases (in Hungarian)
Lecture notes, 2007.

4. Gröbner theory of zero dimensional ideals with a view toward combinatorics
PhD thesis, 2007. (abstract)