*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:* **General Topology** (function spaces, quotient spaces), **Real Analysis** (harmonic analysis, measure theory), **Set Theory** (models of set theory, forcing), **Category Theory** (categorical probability), **Logic** (formalization of mathematics, theoretical foundations quantum mechanics).

*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. - Eliaš P., Frič R.,
*Factorization of observables*, Interat. J. Theoret. Phys.**56**(2017), no. 12, 4037–4083. - Eliaš P.,
*A Galois connection related to restrictions of continuous real functions*, Topology Appl.**265**(2019), 106814. - Eliaš P., Frič R,
*Conditional probability on full Lukasiewicz tribes*, accepted to Soft Computing.