title: Jürgen Herzog
text: # Jürgen Herzog
  
  Jürgen Reinhard Gerhard Herzog (German:; born 21 December 1941) is an Emeritus Professor of Mathematics at University of Duisburg-Essen, in Essen, Germany. From 1969 to 1975, he was Lecturer at University of Regensburg and from 1975 to 2009 a professor of Mathematics at University of Duisburg-Essen.
  
  ## Life
  
  Herzog was born in Heidelberg and raised in Eberbach. After military service in the German Army, he enrolled at the University of Kiel from 1963 and began studying mathematics and physics. Herzog transferred to the University of Heidelberg in 1964, and completed his undergraduate studies there. He received his Ph.D. with a thesis titled, Generators and Relations of Abelian Semigroups and Semigroup Rings at Louisiana State University in 1969 under the supervision of Ernst A. Kunz [de]. He completed his habilitation at the University of Regensburg in 1974. He is an expert in the field of commutative algebra and its interactions to other mathematical fields such as combinatorics.
  
  ## Selected publications
  
  * Bruns, Winfred, Herzog, Jürgen, (1993). Cohen-Macaulay rings, Cambridge studies in advanced mathematics 39, Cambridge University Press.
  * Herzog, Jürgen, Hibi, Takayuki, (2011). Monomial Ideals, Graduate Text in Mathematics.
  * Ene, Viviana, Herzog, Jürgen] (2012). Gröbner Bases in Commutative Algebra, Graduate Studies in Mathematics, 130. American Mathematical Society, Providence, RI.
  * Herzog, Jürgen, Hibi, Takayuki, Ohsugi, Hidefumi, (2018). Binomial Ideals, Springer Graduate Texts in Mathematics.
  