Reinhardt Kiehl (born 31 May 1935 in

Herne, North Rhine-Westphalia Herne () is a city in North Rhine-Westphalia, Germany. It is located in the Ruhr area directly between the cities of Bochum, and Gelsenkirchen. History Herne (ancient Haranni) was a tiny village until the 19th century. When the mining of c ...

) is a German mathematician.

Education

From 1955, Kiehl studied mathematics, physics and astronomy at the

University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 ...

and 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 ...

. He received in 1965 his Ph.D. (promotion) under

Friedrich Karl Schmidt Friedrich Karl Schmidt (22 September 1901 – 25 January 1977) was a German mathematician, who made notable contributions to algebra and number theory. Schmidt studied from 1920 to 1925 in Freiburg and Marburg. In 1925 he completed his doctorate ...

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

with thesis ''Äquivalenzrelationen in analytischen Räumen''.

Career

From 1966 to 1968, he was a research assistant and in 1968–1969 a

docent The term "docent" is derived from the Latin word , which is the third-person plural present active indicative of ('to teach, to lecture'). Becoming a docent is often referred to as habilitation or doctor of science and is an academic qualifi ...

at the University of Münster, where he received his habilitation in 1968. From 1969 to 1972, he was a professor ordinarius at the

Goethe-Universität Frankfurt am Main Goethe University Frankfurt () is a public research university located in Frankfurt am Main, Germany. It was founded in 1914 as a citizens' university, which means it was founded and funded by the wealthy and active liberal citizenry of Frankfurt ...

. From 1972, he was a professor ordinarius at the

University of Mannheim The University of Mannheim (German: ''Universität Mannheim''), abbreviated UMA, is a public university, public research university in Mannheim, Baden-Württemberg, Germany. Founded in 1967, the university has its origins in the ''Palatine Aca ...

and retired in 2003 as professor emeritus.

Research

His research deals with algebraic and arithmetic geometry and non-archimedean function theory. He wrote a textbook on the

Weil conjectures In mathematics, the Weil conjectures were highly influential proposals by . They led to a successful multi-decade program to prove them, in which many leading researchers developed the framework of modern algebraic geometry and number theory. Th ...

and

étale cohomology In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil conjectu ...

with

Eberhard Freitag Eberhard Freitag (born 19 May 1942, in Mühlacker) is a German mathematician, specializing in complex analysis and especially modular forms. Education and career Freitag studied from 1961 mathematics, physics and astronomy at Heidelberg Universi ...

. In 1970 Kiehl was an Invited Speaker at the

ICM ICM may refer to: Organizations * Irish Church Missions, an Anglican mission * Institut du Cerveau, the Paris Brain Institute, a research center * Interdisciplinary Centre for Mathematical and Computational Modelling, University of Warsaw * Interna ...

in Nice, France with

Hans Grauert Hans Grauert (8 February 1930 in Haren, Emsland, Germany – 4 September 2011) was a German mathematician. He is known for major works on several complex variables, complex manifolds and the application of sheaf theory in this area, which i ...

,'' Kohärenzsätze für stetige und differenzierbare Familien komplexer Räume''.

Selected publications

*with Eberhard Freitag
''Etale Cohomology and the Weil Conjecture''
Springer Verlag 1988 *with Rainer Weissauer
''Weil Conjectures, Perverse Sheaves and ''ℓ''-adic Fourier Transform''
Springer Verlag 2001 *''De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper'', Pub. Math. IHES, vol. 33, 1967, pp. 5–20
Online ''Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie'', Inventiones Mathematicae, vol. 2, 1967, pp. 191–214''Theorem A und B in der nichtarchimedischen Funktionentheorie'', Inventiones Mathematicae, vol. 2, 1967, pp. 256–273''Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie''
J. Reine Angewandte Mathematik, vol. 235, 1969, p. 89 *mit

Jean-Louis Verdier Jean-Louis Verdier (; 2 February 1935 – 25 August 1989) was a French mathematician who worked, under the guidance of his doctoral advisor Alexander Grothendieck, on derived categories and Verdier duality. He was a close collaborator of Groth ...

br>''Ein einfacher Beweis des Kohärenzsatzes von Grauert'', Mathematische Annalen, Band 195, 1971, pp. 24–50''Äquivalenzrelationen in analytischen Räumen'', Mathematische Zeitschrift, vol. 105, 1968, pp. 1–20 ''Relativ analytische Räume'', Inventiones Mathematicae, vol. 16, 1972, pp. 40–112

References

{{DEFAULTSORT:Kiehl, Reinhardt 20th-century German mathematicians 21st-century German mathematicians Algebraic geometers People from Herne, North Rhine-Westphalia Heidelberg University alumni University of Münster alumni Academic staff of the University of Mannheim 1935 births Living people