|
Curriculum vitae
-
born: Józsa, 27 May 1948
-
university studies:
mathematics and descriptive geometry teacher, Lajos Kossuth University,
1966-1971
-
PhD scholarship: 1971-1973
-
assistant lecturer: 1973-1976
(Department of Computer Sciences)
-
assistant professor: 1976-1987
(Department of Computer Sciences)
-
associate professor:
1987-2010 (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:
1982-1986: 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 1-1 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 ABC-80) (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), 293-306.
[3] P. Lakatos and V. I. Sushanski, The coincidence of central series in
wreath products (in Russian), Publicationes Mathematicae Debrecen, 23 (1976), 167-176.
[4] P. Lakatos, A. Pethő, Investigation of a class of abelian codes, using
a computer, MTA Automatizálási Kutató Intézet
Közleményei, 25 (1982), 73-91.
[5] K. Buzási, P. Lakatos and A. Pethő, Code distances of one class of
group codes (in Russian), Problemy Peredachi Informacii, 17 (1981), 3-12.
English translation: Problems of Information Transmission 17 (1981), 149-156.
[6] P. Lakatos, Class of nilpotency a multiple wreath product of cyclic
groups of prime power order (in Russian), Publicationes Mathematicae
Debrecen, 31 (1984),
153-156.
[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 Error-Correcting Codes, Springer-Verlag, 181-188.
[9] P. Lakatos, Modular group rings and wreath products of groups, Periodica Polytechnica Transportation Engineering, 19 (1991), 57-60.
[10] A. Bovdi and P. Lakatos, On the exponent of the group of normalized
units of modular group algebras, Publicationes Mathematicae Debrecen, 42 (1993), 409-415.
[11] P. Lakatos, Characterizations of some classes of quasi-hereditary
algebras, Comptes Rendus Mathématiques de L'Académie des Sciences La
Société Royale du Canada, 18 (1996), 149-152.
[12] P. Lakatos, On construction of some classes if quasi-hereditary
algebras, Communications in Algebra, 5 (1998), 1567-1576.
[13] P. Lakatos, On spectral radius of Coxeter transformation of trees,
Publicationes Mathematicae Debrecen, 54 (1999), 181-187.
[14] P. Lakatos, On Coxeter polynomials of wild stars, Linear Algebra and
Its Applications, 293 (1999), 159-170.
[15] P. Lakatos, On a theorem of V. Dlab, Algebras and Representation
Theory, 3 (2000), 99-103.
[16] P. Lakatos, On a number theoretical application of Coxeter
transformations, Rivista di Matematica della Università
Parma (6), 3 (2000), 293-301.
[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), 71-77.
[18] P. Lakatos, Additive functions on trees, Colloquium Mathematicum, 89 (2001),
135-145.
[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), 91-96.
[20] P. Lakatos, On zeros of reciprocal polynomials, Publicationes Mathematicae
Debrecen,
61 (2002), 645-661.
[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), 143-153.
[23] P. Lakatos, A new construction of Salem polynomials, Comptes Rendus Mathématiques
de L'Académie des Sciences La Société Royale du Canada, 25 (2003), 47-54.
[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,
Self-inversive polynomials whose zeros are on the unit circle, Publicationes Mathematicae
Debrecen,
65 (2004), 409-420.
[26] P. Lakatos and L. Losonczi, Circular interlacing with reciprocal
polynomials, Mathematical Inequalities & Applications, 10 (2007),
761-769.
[27] P. Lakatos and L. Losonczi, Polynomials with all zeros on the unit
circle, Acta Mathematica Hungarica, 125 (2009), 341-356.
[28] P. Lakatos, Spectral properties of Coxeter transformation,
Southeast Asian Bulletin of Mathematics, 33 (2009), 1105-1112.
[29] P. Lakatos, On finite p-groups with cyclic characteristic series, Publicationes Mathematicae
Debrecen,
74 (2009), 187-193.
[30] P. Lakatos, Salem numbers defined by Coxeter transformation, Linear Algebra and Its Applications,
432 (2010), 144-154.
Talks
[1] On central series of wreath
products (in Russian), International Colloquium on Group Theory to the
memory of Tibor Szele, 16-20 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 p-groups and nilpotent wreath products, Second
International Colloquium on Group Theory, 18-21 August 1987,
Debrecen.
[4] Modular group rings and wreath products of groups, Second
International Mathematical Mini Conference, 9-18 August 1988, Budapest.
[5] Modular abelian group codes, International Workshop "Algebraic and
Combinatorial Coding Theory", 18-24 September 1988, Varna (Bulgaria).
[6] Abelian group codes, XII. Österreichischer Mathematiker Kongress,
17-22 September 1989, Wien (Austria).
[7] On iterated wreath products, Third International Colloquium on Group
Theory, 13-17 August 1990, Debrecen.
[8] On exponent of group of normalized units of modular group algebras,
International Conference "Group and Group Rings", 21-24 September 1993, Gliwice
(Poland).
[9] On nilpotent wreath products, Conference on Algebra and Combinatorics,
6-12 March 1994, Königstein (Germany).
[10] On construction of some classes of quasi-hereditary algebras,
Representation Theory and Computer Algebra Conference, 18-22 March 1997, Kiev
(Ukraine).
[11] On the spectral radius of a Coxeter transformation, International
Algebraic Conference dedicated to the memory of A. G. Kurosh, 24-28 May 1998, Moscow
(Russia).
[12] On the bounds of spectral radius of a Coxeter transformation, The Xth
Meeting on Representation Theory of Algebras, 20-21 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,
21-23 November 1999, Al Ain (United Arab Emirates).
[14] Coxeter transformations and growth functions of Coxeter groups,
Eighth International Conference on Group and Group Ring, 6-10 June 2000, Wisla
(Poland).
[15] Coxeter transformations applied to number theory, XVth Meeting on
Representation Theory of Algebras at the University of Sherbrooke, 7-9
November 2002, Sherbrooke (Canada).
[16] On a semigroup of reciprocal polynomials, 65th Workshop on General
Algebra, 20-23 March 2003, Potsdam (Germany).
[17] Zeros of Coxeter and reciprocal polynomials, International conference
on algebras, modules and rings, 14-18 July 2003, Lisboa (Portugal).
[18] On spectral properties of Coxeter transformation, 4th International
Algebraic Conference in Ukraine, 4-9 August 2003, Lvov (Ukraine).
[19] Zeros of Coxeter and reciprocal polynomials, The Ninth International
Conference on Functional Equations and Inequalities, 7-13 September 2003, Zlockie
(Poland).
[20] Spectral properties of Coxeter transformation, Special session on
Linear Algebra at the AMS Meeting in Athens, 26-27 March 2004, Ohio (USA).
[21] On spectral properties of Coxeter transformation, ICRA XI, 2004.
augusztus 10.-21., Patzcuaro, Querentaro (Mexico).
[22] On zeros of self-inversive 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) |
