Curriculum vitae

born: Józsa, 27 May 1948

university studies:
mathematics and descriptive geometry teacher, Lajos Kossuth University,
19661971

PhD scholarship: 19711973

assistant lecturer: 19731976
(Department of Computer Sciences)

assistant professor: 19761987
(Department of Computer Sciences)

associate professor:
19872010 (at Department of Computer Sciences till 1995)

university doctor degree: 1973
title of the thesis: On wreath product of cyclic groups (in
Hungarian)

candidate degree: 1986 (University
of Kiev)
title of the thesis: Wreath product of Abelian groups and its
application in algebraic coding theory (in Russian)

habilitation: 2003
title of the thesis: On representation of finite dimensional algebras
and applications (in Hungarian)

visiting researcher:
19821986: University of Kiev (Kiev, Soviet Union, corresponding
aspirant)
1994: University of Trento (Trento, Italy, 6 weeks)
1994: Universität RWTH of Aachen (Aachen, Germany, 3 months)
1995: University of St. Andrews (St. Andrews, Scotland, 1 month)
1996, 1998, 2000, 2002, 2004: Carleton University (Ottawa, Canada, 6
months and 11 month)
1998: Universität Saarbrücken (Saarbrücken, Germany, 3 weeks)
1999: University of Paderborn (Paderborn, Germany, 1 month)

knowledge of languages:
Russian (superlative)
English (intermediate)

reviewer of Zentralblatt für
Mathematik and Mathematical Reviews

lecture notes:
Éva Gárdos and Piroska Lakatos, BASIC exercises (Programming ABC80) (in
Hungarian), Tankönyvkiadó, 1982.
Éva Gárdos, Piroska Lakatos and Zoltán Papp, Introduction to
computer science (in Hungarian), Tankönyvkiadó, 1983.
Piroska Lakatos, Algebraic coding theory (in Hungarian), Lajos Kossuth University,
Institute of Mathematics, 1999.
Publications
[1] P. Lakatos, On wreath product
of cyclic groups (in Hungarian), university doctor university
doctor thesis, Lajos Kossuth University, 1973.
[2] P. Lakatos, The structure of wreath product of two cyclic groups of
prime power order (in Russian), Publicationes Mathematicae Debrecen, 22 (1975), 293306.
[3] P. Lakatos and V. I. Sushanski, The coincidence of central series in
wreath products (in Russian), Publicationes Mathematicae Debrecen, 23 (1976), 167176.
[4] P. Lakatos, A. Pethő, Investigation of a class of abelian codes, using
a computer, MTA Automatizálási Kutató Intézet
Közleményei, 25 (1982), 7391.
[5] K. Buzási, P. Lakatos and A. Pethő, Code distances of one class of
group codes (in Russian), Problemy Peredachi Informacii, 17 (1981), 312.
English translation: Problems of Information Transmission 17 (1981), 149156.
[6] P. Lakatos, Class of nilpotency a multiple wreath product of cyclic
groups of prime power order (in Russian), Publicationes Mathematicae
Debrecen, 31 (1984),
153156.
[7] P. Lakatos, Wreath product of Abelian groups and its application in
algebraic coding theory (in Russian), candidate thesis, University of Kiev,
1986.
[8] V. Drensky and P. Lakatos, Monomial ideals, group algebras and error
correcting codes, Lecture Notes in Computer Science vol. 357,
Applied Algebra, Algebraic Algorithms and ErrorCorrecting Codes, SpringerVerlag, 181188.
[9] P. Lakatos, Modular group rings and wreath products of groups, Periodica Polytechnica Transportation Engineering, 19 (1991), 5760.
[10] A. Bovdi and P. Lakatos, On the exponent of the group of normalized
units of modular group algebras, Publicationes Mathematicae Debrecen, 42 (1993), 409415.
[11] P. Lakatos, Characterizations of some classes of quasihereditary
algebras, Comptes Rendus Mathématiques de L'Académie des Sciences La
Société Royale du Canada, 18 (1996), 149152.
[12] P. Lakatos, On construction of some classes if quasihereditary
algebras, Communications in Algebra, 5 (1998), 15671576.
[13] P. Lakatos, On spectral radius of Coxeter transformation of trees,
Publicationes Mathematicae Debrecen, 54 (1999), 181187.
[14] P. Lakatos, On Coxeter polynomials of wild stars, Linear Algebra and
Its Applications, 293 (1999), 159170.
[15] P. Lakatos, On a theorem of V. Dlab, Algebras and Representation
Theory, 3 (2000), 99103.
[16] P. Lakatos, On a number theoretical application of Coxeter
transformations, Rivista di Matematica della Università
Parma (6), 3 (2000), 293301.
[17] P. Lakatos, Salem numbers, PV numbers and spectral radii of Coxeter
transformations, Comptes Rendus Mathématiques de L'Académie des Sciences
La Société Royale du Canada, 23 (2001), 7177.
[18] P. Lakatos, Additive functions on trees, Colloquium Mathematicum, 89 (2001),
135145.
[19] P. Lakatos, On polynomials having zeros on the unit circle, Comptes
Rendus Mathématiques de L'Académie des Sciences La Société Royale du
Canada, 24 (2002), 9196.
[20] P. Lakatos, On zeros of reciprocal polynomials, Publicationes Mathematicae
Debrecen,
61 (2002), 645661.
[21] P. Lakatos, On representation of finite dimensional algebras and
applications (in Hungarian), habilitation thesis, University of Debrecen,
2002.
[22] V. Dlab and P. Lakatos, On bounds of spectral radii of Coxeter
transformations of wild trees, Linear Algebra and Its Applications, 365
(2003), 143153.
[23] P. Lakatos, A new construction of Salem polynomials, Comptes Rendus Mathématiques
de L'Académie des Sciences La Société Royale du Canada, 25 (2003), 4754.
[24] P. Lakatos and L. Losonczi, On zeros of reciprocal polynomials of odd
degree, Journal of Inequalities in Pure and Applied Mathematics, 4 (2003), Article 60, 8 pp.
[25]
P. Lakatos and L. Losonczi,
Selfinversive polynomials whose zeros are on the unit circle, Publicationes Mathematicae
Debrecen,
65 (2004), 409420.
[26] P. Lakatos and L. Losonczi, Circular interlacing with reciprocal
polynomials, Mathematical Inequalities & Applications, 10 (2007),
761769.
[27] P. Lakatos and L. Losonczi, Polynomials with all zeros on the unit
circle, Acta Mathematica Hungarica, 125 (2009), 341356.
[28] P. Lakatos, Spectral properties of Coxeter transformation,
Southeast Asian Bulletin of Mathematics, 33 (2009), 11051112.
[29] P. Lakatos, On finite pgroups with cyclic characteristic series, Publicationes Mathematicae
Debrecen,
74 (2009), 187193.
[30] P. Lakatos, Salem numbers defined by Coxeter transformation, Linear Algebra and Its Applications,
432 (2010), 144154.
[31] C. Hannusch and P. Lakatos,
Construction of selfdual radical 2codes of given distance, Discrete
Mathematics, Algorithms and Applications 4 (2012), 1250052.
Talks
[1] On central series of wreath
products (in Russian), International Colloquium on Group Theory to the
memory of Tibor Szele, 1620 September 1985, Debrecen.
[2] The coincidence of central series in wreath products (in Russian),
XVIIIth Soviet Algebraic Conference, 1985, Kishinev (Soviet Union).
[3] Modular group rings of pgroups and nilpotent wreath products, Second
International Colloquium on Group Theory, 1821 August 1987,
Debrecen.
[4] Modular group rings and wreath products of groups, Second
International Mathematical Mini Conference, 918 August 1988, Budapest.
[5] Modular abelian group codes, International Workshop "Algebraic and
Combinatorial Coding Theory", 1824 September 1988, Varna (Bulgaria).
[6] Abelian group codes, XII. Österreichischer Mathematiker Kongress,
1722 September 1989, Wien (Austria).
[7] On iterated wreath products, Third International Colloquium on Group
Theory, 1317 August 1990, Debrecen.
[8] On exponent of group of normalized units of modular group algebras,
International Conference "Group and Group Rings", 2124 September 1993, Gliwice
(Poland).
[9] On nilpotent wreath products, Conference on Algebra and Combinatorics,
612 March 1994, Königstein (Germany).
[10] On construction of some classes of quasihereditary algebras,
Representation Theory and Computer Algebra Conference, 1822 March 1997, Kiev
(Ukraine).
[11] On the spectral radius of a Coxeter transformation, International
Algebraic Conference dedicated to the memory of A. G. Kurosh, 2428 May 1998, Moscow
(Russia).
[12] On the bounds of spectral radius of a Coxeter transformation, The Xth
Meeting on Representation Theory of Algebras, 2021 November 1998, Lennoxville, Quebec
(Canada).
[13] On the spectral radius of trees and of Coxeter transformation of
trees, The First International Conference, Mathematical Science, ICM99,
2123 November 1999, Al Ain (United Arab Emirates).
[14] Coxeter transformations and growth functions of Coxeter groups,
Eighth International Conference on Group and Group Ring, 610 June 2000, Wisla
(Poland).
[15] Coxeter transformations applied to number theory, XVth Meeting on
Representation Theory of Algebras at the University of Sherbrooke, 79
November 2002, Sherbrooke (Canada).
[16] On a semigroup of reciprocal polynomials, 65th Workshop on General
Algebra, 2023 March 2003, Potsdam (Germany).
[17] Zeros of Coxeter and reciprocal polynomials, International conference
on algebras, modules and rings, 1418 July 2003, Lisboa (Portugal).
[18] On spectral properties of Coxeter transformation, 4th International
Algebraic Conference in Ukraine, 49 August 2003, Lvov (Ukraine).
[19] Zeros of Coxeter and reciprocal polynomials, The Ninth International
Conference on Functional Equations and Inequalities, 713 September 2003, Zlockie
(Poland).
[20] Spectral properties of Coxeter transformation, Special session on
Linear Algebra at the AMS Meeting in Athens, 2627 March 2004, Ohio (USA).
[21] On spectral properties of Coxeter transformation, ICRA XI, 2004.
augusztus 10.21., Patzcuaro, Querentaro (Mexico).
[22] On zeros of selfinversive polynomials, 5th International Algebraic
Conference in Ukraine, 2005. július 20.27., Odessa (Ukraine).
[23] Graphs and famous algebraic integers, Applications of Algebra XIII,
2009. március 9.14., Zakopane (Poland).
(Other seminar talks in Ukraine, Italy, Germany, England, Scotland, Canada,
Hungary) 