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 Like most other cities in the region, Herne (ancient Haranni) was a tiny village until the ...

) is a German mathematician. From 1955, Kiehl studied mathematics, physics and astronomy at the

University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...

and 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, ...

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

with thesis ''Äquivalenzrelationen in analytischen Räumen''. He was from 1966 to 1968 a research assistant and in 1968–1969 a

docent The title of docent is conferred by some European universities to denote a specific academic appointment within a set structure of academic ranks at or below the full professor rank, similar to a British readership, a French " ''maître de conf ...

at the University of Münster, where he received in 1968 his habilitation. From 1969 to 1972 he was a professor ordinarius at the Goethe-Universität Frankfurt am Main. From 1972 he was a professor ordinarius at the

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

, where he retired in 2003 as professor emeritus. His research deals with algebraic and arithmetic geometry and non-archimedean function theory. He wrote 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 Univer ...

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 conjecture ...

. In 1970 Kiehl was an Invited Speaker at the ICM in Nice with talk '' Grauertsche 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 Grothe ...

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