István Gaál - ODT Personal data sheet


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Personal data sheet

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personal data approved: 2023. XII. 06.

Personal data

name

István Gaál

name of institution

University of Debrecen

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. VI. 28.)

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

number of students who fulfilled course requirements

students who obtained their degrees:

László Remete	PhD	2021	DSMCS-DE
Tímea Szabó	PhD	2017	DSMCS-DE
Gábor Nyul	PhD	2007	DSMCS-DE
István Járási	PhD	2006	DSMCS-DE
Péter Olajos	PhD	2005	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

2023

El Fadil Lhoussain, Gaál István: Integral Bases and Monogenity of Pure Number Fields with Non-Square Free Parameters up to Degree 9, TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS 83: (1) pp. 61-86.
type of document: Journal paper/Article
language: English
URL

2023

Gaál István, Remete László: On the monogenity of pure quartic relative extensions of Q(i), ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) 89: (3-4) pp. 357-371.
type of document: Journal paper/Article
language: English
URL

2019

István Gaál, László Remete: Integral bases and monogenity of composite fields, EXPERIMENTAL MATHEMATICS 28: (2) pp. 209-222.
type of document: Journal paper/Article
number of independent citations: 4
language: English
URL

2019

Gaál István, Remete László: Power integral bases in cubic and quartic extensions of real quadratic fields, ACTA SCIENTIARUM MATHEMATICARUM (SZEGED) 85: (3-4) pp. 413-429.
type of document: Journal paper/Article
number of independent citations: 4
language: English
URL

2019

Gaál I.: Diophantine equations and power integral bases, Birkhäuser Publishing Ltd.; Springer-Verlag
type of document: Book/Monography
number of independent citations: 48
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: 56
language: English
URL

1996

Gaál I, Pethő A, Pohst M: 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: 27
language: English
URL

1995

Gaál I, Pethő A, Pohst M: 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: 28
language: English
URL

1993

Gaál I, Pethő A, Pohst M: 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: 26
language: English
URL

1989

Gaál István, Schulte N.: 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: 41
language: English
URL

Number of independent citations to these publications:

234

Scientometric data

list of publications and citations

number of scientific publications that meet accreditation criteria:

102

number of scientific publications:

103

monographs and professional books:

monographs/books in which chapters/sections were contributed:

scientific publications published abroad that meet the accreditation criteria:

publications not in Hungarian, published in Hungary, meeting the accreditation criteria:

number of independent citations to scientific publications and creative works:

752