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personal data approved: 2019. IV. 06.
Personal data
István Gaál
name István Gaál
name of institution
doctoral school
DE Doctoral School of Mathematical and Computational Sciences (Core member)
Council of the Doctoral School
the share of work in the different doctoral schools. DE Doctoral School of Mathematical and Computational Sciences 99%
DE DSMCS-DE Council of the Doctoral School 1%
accreditation statement submitted to: University of Debrecen
HAC accreditation
full compliance
(2019. III. 01.)
Contact details
E-mail address igaalscience.unideb.hu
phone number +36 52 512-900/22802
own web page
Academic title
scientific degree, title Ph.D.
year degree was obtained 1990
discipline to which degree belongs mathematics and computing
institution granting the degree HAS
scientific degree, title DSc
year degree was obtained 2003
discipline to which degree belongs mathematics and computing
institution granting the degree HAS
Employment
1987 - University of Debrecen
university professor or researcher
Thesis topic supervisor
number of doctoral students supervised until now 5
number of students who fulfilled course requirements 4
students who obtained their degrees:
Tímea Szabó PhD 2017  DSMCS-DE
Gábor Nyul PhD 2007  DSMCS-DE
István Járási PhD 2006  DSMCS-DE
Péter Olajos PhD 2005  DSMCS-DE

present PhD students:
László Remete (PhD) (2021/08)  DSMCS-DE
  Thesis topic proposals
Research
research area diophantine equations, effective methods, algorithms, power integral bases, elements of minimal index, Thue equations, index form equations, norm form equations, resultant form equations
research field in which current research is conducted mathematics and computing
Publications
2017

István Gaál, László Remete: Non-monogenity in a family of octic fields, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 47: (3) pp. 817-824.
type of document: Journal paper/Article
language: English
URL 
2017

István Gaál, László Remete: Integral bases and monogenity of pure fields, JOURNAL OF NUMBER THEORY 173: pp. 129-146.
type of document: Journal paper/Article
number of independent citations: 1
language: English
URL 
2016

István Gaál, László Remete, Tímea Szabó: Calculating power integral bases by using relative power integral bases, FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI 54: (2) pp. 141-149.
type of document: Journal paper/Article
number of independent citations: 1
language: English
URL 
2015

Gaál István: Calculating "small" solutions of relative Thue equations, EXPERIMENTAL MATHEMATICS 24: (2) pp. 142-149.
type of document: Journal paper/Article
language: English
URL 
2014

Gaál István, Petrányi Gábor: Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields, CZECHOSLOVAK MATHEMATICAL JOURNAL 64: (2) pp. 465-475.
type of document: Journal paper/Article
language: English
URL 
2002

Gaál István: Diophantine Equations and Power Integral Bases, Birkhauser Boston
type of document: Book/Monography
number of independent citations: 35
language: English
URL 
1996

Pohst M, Gaál I, Pethő A: Simultaneous representation of integers by a pair of ternary quadratic forms, JOURNAL OF NUMBER THEORY 57: (1) pp. 90-104.
type of document: Journal paper/Article
number of independent citations: 22
language: English
URL 
1995

Pohst M, Gaál I, Pethő A: On the resolution of index form equations in biquadratic number fields III., JOURNAL OF NUMBER THEORY 53: (1) pp. 100-114.
type of document: Journal paper/Article
number of independent citations: 23
language: English
URL 
1993

Pohst M, Gaál I, Pethő A: On the resolution of index form equations in quartic number fields, JOURNAL OF SYMBOLIC COMPUTATION 16: pp. 563-584.
type of document: Journal paper/Article
number of independent citations: 15
language: English
URL 
1989

Gaál István, N.Schulte null: Computing all power integral bases of cubic fields, MATHEMATICS OF COMPUTATION 53: pp. 689-696.
type of document: Journal paper/Article
number of independent citations: 30
language: English
Number of independent citations to these publications:127 
Scientometric data
list of publications and citations
number of scientific publications that meet accreditation criteria:
83
number of scientific publications:
87
monographs and professional books:
1
monographs/books in which chapters/sections were contributed:
0 
scientific publications published abroad that meet the accreditation criteria:
70
publications not in Hungarian, published in Hungary, meeting the accreditation criteria:
12
number of independent citations to scientific publications and creative works:
369

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )