Peter Eliaš

Born 1970 in Prešov.

University studies:
University of P. J. Šafárik in Košice, Faculty of Natural Sciences (1988 – 1993).

Academic degrees:
1998 – RNDr.
2000 – PhD. (advisor: prof. RNDr. Lev Bukovský, DrSc.)

Positions held:
1998 – Mathematical institute of the Slovak Academy of Sciences, Extension in Kosice

Study stays:
1997 – Mathematical institute of University in Bonn, Germany (5 months)

Fields of Interest: Real Analysis, Set-Theoretic Topology, Topological Groups

List of Publications:

Eliaš P., A classification of trigonometrical thin sets and their interrelations, Proc. Amer. Math. Soc. 125 (1997), no. 4, 1111–1121.
Eliaš P., A hierarchy of thin sets related to the boundedness of trigonometric series, Proc. Amer. Math. Soc. 128 (2000), no. 11, 3341–3347.
Eliaš P., Covering for category and trigonometric thin sets, Proc. Amer. Math. Soc. 131 (2003), no. 10, 3241–3249.
Eliaš P., On inclusions between Arbault sets, Acta Univ. Carolin. Math. Phys. 44 (2003), no. 2, 65–72.
Eliaš P. Arbault permitted sets are perfectly meager, Tatra Mt. Math. Publ. 30 (2005), 135–148.
Eliaš P. Dirichlet sets, Erdos-Kunen-Mauldin theorem, and analytic subgroups of the reals, Proc. Amer. Math. Soc. 139 (2011), no. 6, 2093–2104.
Eliaš P., On the convergence of a series mapped by a function, Math. Slovaca 65 (2015), no. 1, 63–78.