Günter Harder
   HOME

TheInfoList



OR:

Günter Harder (14 March 1938 – 10 June 2025) was a German mathematician, specializing in
arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...
and
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
.


Education

Harder studied mathematics and physics in
Hamburg Hamburg (, ; ), officially the Free and Hanseatic City of Hamburg,. is the List of cities in Germany by population, second-largest city in Germany after Berlin and List of cities in the European Union by population within city limits, 7th-lar ...
and
Göttingen Göttingen (, ; ; ) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. According to the 2022 German census, t ...
. Simultaneously with the ''
Staatsexamen The ("state examination" or "exam by state"; pl.: ''Staatsexamina'') is a German government licensing examination that future physicians, dentists, physical therapists, teachers, research librarians, archivists, pharmacists, food chemists, psyc ...
'' in 1964 in Hamburg, he received his doctoral degree (Dr. rer. nat.) under
Ernst Witt Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. Biography Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the f ...
with a thesis ''Über die Galoiskohomologie der Tori''. Two years later, 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 ...
.


Career

After a one-year postdoctorate position at
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
and a position as an assistant professor at 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 became a professor ordinarius at the
University of Bonn The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...
. With the exception of a six-year stay at the former Universität-Gesamthochschule Wuppertal, Harder remained at the University of Bonn until his retirement in 2003. From 1995 to 2006, he was one of the directors of the
Max-Planck-Institut für Mathematik The Max Planck Institute for Mathematics (, MPIM) is a research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association of ...
in Bonn. He was a visiting professor at
Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
,
Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...
, at Princeton's Institute for Advanced Study (IAS) (for the academic years 1966–1967, 1972–1973, 1986–1987, autumn of 1983, autumn of 2006), at the
Institut des Hautes Études Scientifiques The Institut des hautes études scientifiques (IHÉS; English: Institute of Advanced Scientific Studies) is a French research institute supporting advanced research in mathematics and theoretical physics (also with a small theoretical biology g ...
(I.H.É.S.) in Paris, at the
Tata Institute of Fundamental Research Tata Institute of Fundamental Research (TIFR) is a leading research Institute under the Department of Atomic Energy of the Government of India. It is a public deemed university located at Navy Nagar, Colaba in Mumbai. It also has a centres in ...
in Mumbai, and at the
Mathematical Sciences Research Institute The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Califor ...
(MSRI) at the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
. For decades, Harder was known to German mathematicians as the ''Spiritus Rector'' for a mathematical workshop held for one week in spring and one week in autumn; the workshop, sponsored by the
Mathematical Research Institute of Oberwolfach The Oberwolfach Research Institute for Mathematics () is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and ...
, introduced young mathematicians and scientists to important new developments in pure mathematics and mathematical sciences. Harder's doctoral students include
Kai Behrend Kai Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada. His work is in algebraic geometry and he has made important contributions in the theory of algebraic stacks, ...
,
Jörg Bewersdorff Jörg Bewersdorff (born 1 February 1958 in Neuwied) is a German mathematician who is working as mathematics writer and game designer. Life and work After obtaining his ''Abitur'' from the Werner-Heisenberg-Gymnasium in Neuwied Bewersdorff studie ...
,
Joachim Schwermer Joachim Schwermer (26 May 1950, Kulmbach) is a German mathematician, specializing in number theory. Education Schwermer received his ''Abitur'' in 1969 at Aloisiuskolleg in Bad Godesberg and then studied mathematics at the University of Bonn. Af ...
, and
Maria Heep-Altiner Maria Heep-Altiner (born 29 December 1959 in Niederzeuzheim) is a German mathematician, actuary and university lecturer. Life After graduating from the Prince Johann Ludwig School  in Hadamar in 1978, Heep-Altiner studied mathematics an ...
. Harder died on 10 June 2025, at the age of 87.


Research

His research deals with arithmetic geometry,
automorphic form In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G o ...
s,
Shimura varieties In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties are n ...
, motives, and
algebraic number theory Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic ob ...
. He made foundational contributions to the Waldspurger formula. With
Ina Kersten Ina Kersten (born 1946) is a German mathematician and former president of the German Mathematical Society. Her research concerns abstract algebra including the theory of field extensions and algebraic groups. She is a professor emerita at the Univ ...
, he was a co-editor of the collected works of
Ernst Witt Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. Biography Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the f ...
.


Awards and honors

Harder was an
invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...
in 1970 and gave a talk titled ''Semisimple group schemes over curves and automorphic functions'' and in 1990 with a talk titled ''Eisenstein cohomology of arithmetic groups and its applications to number theory''. In 1988, he was awarded the Leibniz Prize by the
Deutsche Forschungsgemeinschaft The German Research Foundation ( ; DFG ) is a German research funding organization, which functions as a self-governing institution for the promotion of science and research in the Federal Republic of Germany. In 2019, the DFG had a funding bu ...
. In 2004, Harder received, with
Friedhelm Waldhausen Friedhelm Waldhausen (born 1938 in Millich, Hückelhoven, Rhine Province, died 2024) was a German mathematician known for his work in algebraic topology. He made fundamental contributions in the fields of 3-manifolds and (algebraic) K-theory. ...
, the von Staudt Prize.


Selected publications

*
online
. * *
online
*
online
. * * * * * * (contains Harder's contribution: )


References


External links


Homepage of Günter Harder at the Hausdorff Center of the University of Bonn

Homepage of Günter Harder at the University of Bonn
{{DEFAULTSORT:Harder, Gunter 1938 births 2025 deaths 20th-century German mathematicians 21st-century German mathematicians Algebraists Number theory University of Hamburg alumni Academic staff of the University of Bonn Academic staff of the University of Wuppertal Institute for Advanced Study visiting scholars People from Ratzeburg