George Grätzer
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George A. Grätzer (; born 2 August 1936, in
Budapest Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
) is a Hungarian-Canadian mathematician, specializing in
lattice theory A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bou ...
and
universal algebra Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures in general, not specific types of algebraic structures. For instance, rather than considering groups or rings as the object of stud ...
. He is known for his books on
LaTeX Latex is an emulsion (stable dispersion) of polymer microparticles in water. Latices are found in nature, but synthetic latices are common as well. In nature, latex is found as a wikt:milky, milky fluid, which is present in 10% of all floweri ...
and his proof with E. Tamás Schmidt of the Grätzer–Schmidt theorem.


Biography

His father József Grätzer was famous in Hungary as the "Puzzle King" ("rejtvénykirály"). George Grätzer received his PhD from
Eötvös Loránd University Eötvös Loránd University (, ELTE, also known as ''University of Budapest'') is a Hungarian public research university based in Budapest. Founded in 1635, ELTE is one of the largest and most prestigious public higher education institutions in ...
in 1960 under the supervision of
László Fuchs László Fuchs (born June 24, 1924) is a Hungary, Hungarian-born American mathematician, the Evelyn and John G. Phillips Distinguished Professor Emeritus in Mathematics at Tulane University.
. In 1963 Grätzer and Schmidt published their theorem on the characterization of congruence lattices of algebras. In 1963 Grätzer left Hungary and became a professor at
Pennsylvania State University The Pennsylvania State University (Penn State or PSU) is a Public university, public Commonwealth System of Higher Education, state-related Land-grant university, land-grant research university with campuses and facilities throughout Pennsyl ...
. In 1966 he became a professor at the
University of Manitoba The University of Manitoba (U of M, UManitoba, or UM) is a public research university in Winnipeg, Manitoba, Canada. Founded in 1877, it is the first university of Western Canada. Both by total student enrolment and campus area, the University of ...
and later a Canadian citizen. In 1970 Grätzer became the founder and editor-in-chief of the journal '' Algebra Universalis''. His mathematical articles—over 260, all listed on Research Gate—are widely cited, and he has written several influential books. Grätzer has received several awards and honours. He is married and has two children (Tom Gratzer and David Gratzer) and five grandchildren.


Awards and honours

* Grünwald Memorial Prize (1967) * Steacie Prize (1971) * Fellow of the
Royal Society of Canada The Royal Society of Canada (RSC; , SRC), also known as the Academies of Arts, Humanities, and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bilingual council of distinguishe ...
(1973) * Jeffery–Williams Prize (1978) * Zubek Prize (1987) * Elected Foreign Member of Magyar Tudományos Akadémia (1997)


Publications

More than 270 research articles in mathematics, and 36 books including * ''Elmesport egy esztendőre'' 1959 (2008-as kiadása: ); trans. into English a
''Train your brain: A year's worth of puzzles''
2011 * ''Universal Algebra'' 1960 * ''Lattice Theory'' 1971

'VP-Info Database Language'' 1986
''First Steps in LaTeX''
1999

sixth edition 2007 * ''Lattice Theory: Foundation'' 2011 * ''Practical LaTeX'' 2014 * ''The Congruences of a Finite Lattice: A Proof-by-Picture Approach, third edition'' 2023 * ''Math into LaTeX, sixth edition'' 2024 * ''Math into English,'' 2024 * ''Write Better,'' 2024


References


External links


George Grätzer at U. of Manitoba


by Gábor Czédli, Categories and General Algebraic Structures with Applications, Volume 11, Special Issue Dedicated to Prof. George A. Grätzer. {{DEFAULTSORT:Gratzer, George 20th-century Hungarian mathematicians 21st-century Hungarian mathematicians Fellows of the Royal Society of Canada Canadian mathematicians Hungarian emigrants to Canada Eötvös Loránd University alumni Academic staff of the University of Manitoba 1936 births Living people