Curriculum vitae

Curriculum vitae Hungarian version Math. Genealogy

Date of Birth:     February 10, 1936
City of Birth:     Budapest
Diploma:         L. Eötvös University, Budapest , 1959

Scientific qualifications:
        1. Dr. rer. nat. from L. Eötvös Univesity in Budapest, 1960
       2. Candidate of Math. Sci. from the Hungarian Academy of Sciences, 1960
       3.   Doctor of Math. Sci. from the Hungarian Academy of Sciences, 1969
Positions:

1959-1991 scientific chief co-worker, scientific adviser in the Math. Inst. of The Hungarian Academy of Sci.
1971-1991 Deputy Director of the Math. Inst. of the Hungarian Academy of Sci. (Rényi Institute).
1974-1991 Professor on the Eötvös Univesity in Budapest
1972-1992 Member of the Scientific Counsil of the Stefan Banach Intrnational Centre (Warsawa), 1972-1992
1991-1996 Head of the Department of Mathematics of Transport Engeneering Faculty of the Technical Univ. of Budapest
1996-2001 Head of the Department of Algebra Math. Inst. of the Technical Univ. of Budapest
1995-1999 Director of the Math. Inst. of the Technical Univ. of Budapest
2001-2006 Professor on the Department of Algebra Math. Inst. of the Technical Univ. of Budapest
2006- Professor Emeritus

Honours:

        G. Grünwald Prize awarded by the János Bolyai Soc. (1958)
        Mathematical Prize awarded by Hungarian Academy of Sci. (1974)
        József Nádor prize awarded by the Technical Univ. of Budapest (1999)
        Honorary member of the Alfréd Rényi Institute (2001-)
        Széchenyi Professorial Scholarship (1999-2002)
        Farkas Bolyai Prize awarded by Hungarian Academy of Sci. (2004)
          Albert Szent-Györgyi Prize awarded by Ministery of Education (2006)
           Béla Szőkefalvi-Nagy Medal awarded by the Bolyai Institute, University of Szeged (2008).   The medal: pdf

Editorial Bords:

   Studia Sci. Math. Hungar. (1971-1992)
        Beiträge zur Algebra und Geometrie, Germany (1970-)
        Algebra Universalis, Canada (1994-2008)

Visiting professorships Aboard:

        Martin Luther Universität, Halle GDR (1965-1968)
        University of Kassel, Germany (1980-1981)
        University of Calgary, Canada (1987-1988)
        University of Winnipeg, Canada (1991-1996 several times)

The most important results:

1. Congruence lattices of universal algebras [19]

Every algebraic lattice is isomrphic to the congruence lattice of a universal algera

2. Congruence lattices of lattices [47], ( see also [27],[40])

The ideal lattice of a distributive lattice with zero is the congruence lattice of a lattice.

3. congruence lattices of (complemented ) modular lattices [34] ,[47],

Every finite lattice L is the congruence lattice of a complemented modular lattice.

4. The lattice of complete congruences of a complete lattice [70]:

Every complete lattice K can be represented as the lattice of complete congruences

of a complete distributive lattiece L.

5. congruence-preserving and congruence-isomrphic extensions [88] , [91], [96]

Every finite lattice has a congruence-preserving extension to a 1. regular lattice,

2 complemented lattice, 3 semimodular lattice.

6. semimodular lattices [119], [123]

Every finite 2-dimensional semimodular lattice is the patchwork of patch lattices

(Conjecture: Every finite semimodular lattice is the patchwork of patch lattices).

Privat life:

Married Judit, I have two sons, Gábor (1964-2009) and George (1967)

my sons

my grandchildren, december 2012

Golden wedding, 02.07.20011

Oberwolfach, 1961 with Garett Birkhoff Brno, 1963 with László Fuchs

with Manfred Stern and András Huhn

With Gábor Czédli, 2008 Szeged

January 2016