George Grätzer

George A. Grätzer (Hungarian: Grätzer György; born 2 August 1936, in Budapest) is a Hungarian-Canadian mathematician, specializing in lattice theory and universal algebra. He is known for his books on LaTeX[1] and his proof with E. Tamás Schmidt of the Grätzer–Schmidt theorem.[2][3]


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.[4] In 1963 Grätzer and Schmidt published their theorem on the characterization of congruence lattices of algebras.[5] In 1963 Grätzer left Hungary and became a professor at Pennsylvania State University. In 1966 he became a professor at the University of Manitoba 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 honoursEdit


More than 260 research articles in mathematics, and 31 books including

  • Elmesport egy esztendőre 1959 (2008-as kiadása: ISBN 9789639725362); trans. into English as Train your brain: A year's worth of puzzles 2011
  • Universal Algebra 1960
  • Lattice Theory 1971
  • First Steps in LaTeX 1999
  • The Congruences of a Finite Lattice: A Proof-by-Picture Approach 2006
  • Math into LaTeX, second edition 2000
  • More Math into LaTeX, fourth edition 2007
  • Lattice Theory: Foundation 2011
  • Practical LaTeX 2014
  • More Math into LaTeX, fifth edition 2016
  • The Congruences of a Finite Lattice: A Proof-by-Picture Approach, second edition 2016


  1. ^ Interview with George Grätzer – TeX Users Group, 2005
  2. ^ "G. Grätzer and E. T. Schmidt, mathematicians" by Gábor Czédli
  3. ^ Fuchs, Lászlo (2008). "Reminiscences about George Grätzer and E. Tamás Schmidt". Algebra Universalis. doi:10.1007/s00012-008-2129-2.
  4. ^ George Grätzer at the Mathematics Genealogy Project
  5. ^ Czédli, Gábor (2008). "The mathematics of G. Grätzer and E. T. Schmidt". Algebra Universalis. doi:10.1007/s00012-008-2130-9.
  6. ^ The Steacie Prize – Recipients

External linksEdit