Jürgen Reinhard Gerhard Herzog (; 21 December 1941 – 23 April 2024) was an Emeritus Professor of Mathematics at

University of Duisburg-Essen The University of 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 194th place in the world. It was originally ...

, in

Essen Essen () 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 Dortmund, as well as ...

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

University of Regensburg The University of Regensburg () is a public research university located in the city of Regensburg, Germany. The university was founded on 18 July 1962 by the Landtag of Bavaria as the fourth full-fledged university in Bavaria. Following groundbr ...

and from 1975 to 2009 a professor of Mathematics at

Biography

Herzog was born in

Heidelberg Heidelberg (; ; ) is the List of cities in Baden-Württemberg by population, fifth-largest city in the States of Germany, German state of Baden-Württemberg, and with a population of about 163,000, of which roughly a quarter consists of studen ...

on 21 December 1941 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, (, abbreviated CAU, known informally as Christiana Albertina) is a public research university in the city of Kiel, Germany. It was founded in 1665 as the ''Academia Holsator ...

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

University of Heidelberg Heidelberg University, officially the Ruprecht Karl University of Heidelberg (; ), is a public university, public research university in Heidelberg, Baden-Württemberg, Germany. Founded in 1386 on instruction of Pope Urban VI, Heidelberg is List ...

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 and Agricultural and Mechanical College, commonly referred to as Louisiana State University (LSU), is an American Public university, public Land-grant university, land-grant research university in Baton Rouge, Louis ...

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 Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...

at the

in 1974. He was 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 ideal (ring theory), ideals, and module (mathematics), modules over such rings. Both algebraic geometry and algebraic number theo ...

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 as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...

Personal life

Herzog died on 23 April 2024 in Germany, following a sudden heart attack.

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 21st-century German mathematicians 1941 births 2024 deaths 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