George A. Grätzer ( hu, Grätzer György; born 2 August 1936, in

Budapest Budapest (, ; ) is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and the second-largest city on the Danube river; the city has an estimated population ...

) 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 themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of stu ...

. He is known for his books on

LaTeX Latex is an emulsion (stable dispersion) of polymer microparticles in water. Latexes are found in nature, but synthetic latexes are common as well. In nature, latex is found as a milky fluid found in 10% of all flowering plants (angiosperms ...

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 in 1960 under the supervision of

László Fuchs László Fuchs (born June 24, 1924) is a 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 lattice In mathematics, a quotient algebra is the result of partitioning the elements of an algebraic structure using a congruence relation. Quotient algebras are also called factor algebras. Here, the congruence relation must be an equivalence relation ...

s of algebras. In 1963 Grätzer left Hungary and became a professor at Pennsylvania State University. In 1966 he became a professor at the

University of Manitoba The University of Manitoba (U of M, UManitoba, or UM) is a Canadian public research university in the province of Manitoba.Algebra Universalis ''Algebra Universalis'' is an international scientific journal focused on universal algebra and lattice theory. The journal, founded in 1971 by George Grätzer, is currently published by Springer-Verlag. Honorary editors in chief of the journal ...

''. 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 David George Gratzer (born September 5, 1974) is a physician, columnist, author, Congressional expert witness; he was a senior fellow at both the Manhattan Institute and the Montreal Economic Institute. Though he has written essays on topics as dive ...

) and five grandchildren.

Awards and honours

* Grünwald Memorial Prize (1967) *

Steacie Prize The Steacie Prize is a scientific prize awarded to a person of 40 years or younger who has made notable contributions to research in Canada. It was first awarded in 1964, to Jan Van Kranendonk, and it has since been given annually. The award is nam ...

(1971)The Steacie Prize – Recipients
/ref> * Fellow of the Royal Society of Canada (1973) *

Jeffery–Williams Prize The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was present ...

(1978) * Zubek Prize (1987) * Elected Foreign Member of

Magyar Tudományos Akadémia The Hungarian Academy of Sciences ( hu, Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. Its ma ...

(1997)

Publications

More than 260 research articles in mathematics, and 31 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

1999 * ''The Congruences of a Finite Lattice: A Proof-by-Picture Approach'' 2006 * ''Math into LaTeX, second edition'' 2000

fourth edition 2007 * ''Lattice Theory: Foundation'' 2011 * ''Practical LaTeX'' 2014

fifth edition 2016 * ''The Congruences of a Finite Lattice: A Proof-by-Picture Approach, second edition'' 2016

References

External links

George Grätzer's homepage 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 University of Manitoba faculty 1936 births Living people