Jürgen Reinhard Gerhard Herzog (; born 21 December 1941) is an Emeritus Professor of Mathematics at

University of Duisburg-Essen The University of Duisburg-Essen (german: link=no, Universität Duisburg-Essen) is a public research university in North Rhine-Westphalia, Germany. In the 2019 ''Times Higher Education World University Rankings'', the university was awarded ...

, in

Essen Essen (; Latin: ''Assindia'') is the central and, after Dortmund, second-largest city of the Ruhr, the largest urban area in Germany. Its population of makes it the fourth-largest city of North Rhine-Westphalia after Cologne, Düsseldorf and D ...

, Germany. From 1969 to 1975, he was Lecturer at

University of Regensburg The University of Regensburg (german: link=no, Universität Regensburg) is a public research university located in the medieval city of Regensburg, Bavaria, a city that is listed as a UNESCO World Heritage Site. The university was founded on 18 ...

and from 1975 to 2009 a professor of Mathematics at

Life

Herzog was born in

Heidelberg Heidelberg (; Palatine German language, Palatine German: ''Heidlberg'') is a city in the States of Germany, German state of Baden-Württemberg, situated on the river Neckar in south-west Germany. As of the 2016 census, its population was 159,914 ...

and raised in Eberbach. After military service in the German Army, he enrolled at the

University of Kiel Kiel University, officially the Christian-Albrecht University of Kiel, (german: Christian-Albrechts-Universität zu Kiel, abbreviated CAU, known informally as Christiana Albertina) is a university in the city of Kiel, Germany. It was founded in ...

from 1963 and began studying mathematics and physics. Herzog transferred to the

University of Heidelberg } Heidelberg University, officially the Ruprecht Karl University of Heidelberg, (german: Ruprecht-Karls-Universität Heidelberg; la, Universitas Ruperto Carola Heidelbergensis) is a public research university in Heidelberg, Baden-Württemberg, ...

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 Louisiana State University (officially Louisiana State University and Agricultural and Mechanical College, commonly referred to as LSU) is a public land-grant research university in Baton Rouge, Louisiana. The university was founded in 1860 nea ...

in 1969 under the supervision of . He completed his

habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...

at the

in 1974. He is an expert in the field of

commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent ...

and its interactions to other mathematical fields such as

combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...

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.

References

{{DEFAULTSORT:Herzog, Jürgen 20th-century German mathematicians 1941 births Living people Scientists from Heidelberg Louisiana State University alumni Purdue University alumni University of Regensburg alumni Academic staff of the University of Duisburg-Essen Academic staff of the University of Regensburg Heidelberg University alumni People from Eberbach (Baden) University of Kiel alumni