Uwe Storch (born 12 July 1940, Leopoldshall–

Lanzarote Lanzarote (, , ) is a Spanish island, the easternmost of the Canary Islands in the Atlantic Ocean. It is located approximately off the north coast of Africa and from the Iberian Peninsula. Covering , Lanzarote is the fourth-largest of the i ...

, 17 September 2017) was a German

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

. His field of research was

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 analytic and

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

, in particular

derivation Derivation may refer to: Language * Morphological derivation, a word-formation process * Parse tree or concrete syntax tree, representing a string's syntax in formal grammars Law * Derivative work, in copyright law * Derivation proceeding, a proc ...

divisor class group In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil by David Mumfo ...

resultant In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients, which is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (over t ...

s. Storch studied

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...

and

mathematical logic Mathematical logic is the study of logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of for ...

Münster Münster (; nds, Mönster) is an independent city (''Kreisfreie Stadt'') in North Rhine-Westphalia, Germany. It is in the northern part of the state and is considered to be the cultural centre of the Westphalia region. It is also a state distr ...

and 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 ...

. He got his PhD 1966 under the supervision of

Heinrich Behnke Heinrich Adolph Louis Behnke (Horn, 9 October 1898 – Münster, 10 October 1979) was a German mathematician and rector at the University of Münster. Life and career He was born into a Lutheran family in Horn, a suburb of Hamburg. He att ...

with a

thesis A thesis ( : theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: ...

on almost (or Q)

factorial In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \t ...

ring Ring may refer to: * Ring (jewellery), a round band, usually made of metal, worn as ornamental jewelry * To make a sound with a bell, and the sound made by a bell :(hence) to initiate a telephone connection Arts, entertainment and media Film and ...

s. 1972

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 ...

Bochum Bochum ( , also , ; wep, Baukem) is a city in North Rhine-Westphalia. With a population of 364,920 (2016), is the sixth largest city (after Cologne, Düsseldorf, Dortmund, Essen and Duisburg) of the most populous Germany, German federal state o ...

, 1974 professor in

Osnabrück Osnabrück (; wep, Ossenbrügge; archaic ''Osnaburg'') is a city in the German state of Lower Saxony. It is situated on the river Hase in a valley penned between the Wiehen Hills and the northern tip of the Teutoburg Forest. With a population ...

and since 1981 professor for algebra and geometry in

. 2005 Emeritation. Uwe Storch is married and has four sons.

Theorem of Eisenbud–Evans–Storch

The

Theorem In mathematics, a theorem is a statement that has been proved, or can be proved. The ''proof'' of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of th ...

of Eisenbud-

Evans Evans may refer to: People *Evans (surname) *List of people with surname Evans Places United States *Evans Island, an island of Alaska *Evans, Colorado *Evans, Georgia *Evans County, Georgia *Evans, New York *Evans Mills, New York *Evans City, ...

-Storch states that every

algebraic variety Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Mo ...

in n-

dimension In physics and mathematics, the dimension of a Space (mathematics), mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any Point (geometry), point within it. Thus, a Line (geometry), lin ...

affine space In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties relate ...

is given geometrically (i.e. up to

radical Radical may refer to: Politics and ideology Politics *Radical politics, the political intent of fundamental societal change *Radicalism (historical), the Radical Movement that began in late 18th century Britain and spread to continental Europe and ...

) by n

polynomial In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An exa ...

Selected publications

Günther Scheja and Uwe Storch, ''Lehrbuch der Algebra'', 2 volumes, Stuttgart 1980 (1st edition was in 3 volumes), 1988. Uwe Storch and Hartmut Wiebe, ''Lehrbuch der Mathematik'', 4 volumes.

External links

* {{DEFAULTSORT:Storch, Uwe 1940 births 2017 deaths 20th-century German mathematicians 21st-century German mathematicians Algebraists People from Staßfurt