Uffe Haagerup
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Uffe Valentin Haagerup (19 December 1949 – 5 July 2015) was a
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, mathematical structure, structure, space, Mathematica ...
from Denmark.


Biography

Uffe Haagerup was born in
Kolding Kolding () is a Denmark, Danish seaport city located at the head of Kolding Fjord in the Region of Southern Denmark. It is the seat of Kolding Municipality. It is a transportation, commercial, and manufacturing centre and has numerous industria ...
, but grew up on the island of
Funen Funen (, ), is the third-largest List of islands of Denmark, island of Denmark, after Zealand and North Jutlandic Island, Vendsyssel-Thy, with an area of . It is the List of islands by area, 165th-largest island in the world. It is located in th ...
, in the small town of Fåborg. The field of mathematics had his interest from early on, encouraged and inspired by his older brother. In fourth grade Uffe was doing trigonometric and logarithmic calculations. He graduated as a student from Svendborg Gymnasium in 1968, whereupon he relocated to Copenhagen and immediately began his studies of mathematics and physics at the University of Copenhagen, again inspired by his older brother who also studied the same subjects at the same university. Early university studies in Einstein's general theory of relativity and
quantum mechanics Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is ...
, sparked a lasting interest in the mathematical field of
operator algebra In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study o ...
, in particular
Von Neumann algebra In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra. Von Neumann al ...
and Tomita–Takesaki theory. In 1974 he received his Candidate's degree ( cand. scient.) from the University of Copenhagen and in 1981 – at the age of 31 – Uffe was appointed at the University of Odense – now University of Southern Denmark, as the youngest professor of mathematics ( dr. scient.) in the country at the time. Pregraduate summer schools at the university and later on extended professional research stays abroad, helped him discover and build a diverse and lasting international network of colleagues. Haagerup accidentally drowned on 5 July 2015, aged 65, while swimming in the
Baltic Sea The Baltic Sea is an arm of the Atlantic Ocean that is enclosed by the countries of Denmark, Estonia, Finland, Germany, Latvia, Lithuania, Poland, Russia, Sweden, and the North European Plain, North and Central European Plain regions. It is the ...
close to Fåborg where his family owned a cabin.


Work

Uffe Haagerup's mathematical focus has been on the fields of
operator algebra In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study o ...
,
group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
and
geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
, but his publications has a broad scope and also involves free probability theory and random matrices. He has participated in many international mathematical groups and networks from early on, and has worked as ordinary contributor and participator, organizer, lecturer and editor. Following his appointment as professor at Odense, Haagerup got acquainted with Vaughan Jones, when he did research in
Philadelphia Philadelphia ( ), colloquially referred to as Philly, is the List of municipalities in Pennsylvania, most populous city in the U.S. state of Pennsylvania and the List of United States cities by population, sixth-most populous city in the Unit ...
and later at the
UCLA The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
in Los Angeles. Jones inspired him to take up studies in and work on subfactor theory. Uffe Haagerup has done extensive work with fellow mathematician
Alain Connes Alain Connes (; born 1 April 1947) is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry. He was a professor at the , , Ohio State University and Vanderbilt University. He was awar ...
on Von Neumann algebra. His solution to the so-called "Champagne Problem", secured him the Samuel Friedmann Award in April 1985, although it was first published in Acta Mathematica in 1987. Uffe considered this his best work. An early contact and collaboration was established with Swedish colleagues at the Mittag-Leffler Institute and the Norwegian group on operator algebra, where Uffe Haagerup has a long history of collaboration with Erling Størmer for example. In the mathematical literature, Uffe Haagerup is known for the Haagerup property, the Haagerup subfactor, the Asaeda-Haagerup subfactor and the Haagerup list. From 2000 to 2006 Uffe served as editor-in-chief of the journal '' Acta Mathematica''. He was a member of the Royal Danish Academy of Sciences and Letters and the
Norwegian Academy of Science and Letters The Norwegian Academy of Science and Letters (, DNVA) is a learned society based in Oslo, Norway. Its purpose is to support the advancement of science and scholarship in Norway. History The Royal Frederick University in Christiania was establis ...
. He worked at the Department of Mathematics at the University of Copenhagen from 2010 to 2014, where he was involved in the Centre for Symmetry and Deformation (SYM), but was appointed professor of mathematics in 2015 at the University of Southern Denmark in
Odense Odense ( , , ) is the third largest city in Denmark (after Copenhagen and Aarhus) and the largest city on the island of Funen. As of 1 January 2025, the city proper had a population of 185,480 while Odense Municipality had a population of 210, ...
.


Prizes and honors

Uffe Haagerup received several awards and honours throughout his academic career. Amongst the most academically prestigious were the Danish Ole Rømer Medal, the international Humboldt Research Award and the European Latsis Prize. * 1985. The Samuel Friedman Award (
UCLA The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
and Copenhagen) * 1986. Invited speaker at ICM1986 (Berkeley) * 1989. The Ole Rømer Medal (Copenhagen).
The Ole Rømer Medal (est. 1944) is a Danish medal awarded by the University of Copenhagen and the municipality of Copenhagen, for outstanding research. It is considered amongst the most honourable scientific awards in the country, established in commemoration of Ole Rømer on his 300th anniversary. * 2002. Plenary speaker at ICM2002 (Beijing) * 2007. Distinguished lecturer at the Fields Institute of Mathematical Research (Toronto) * 2008. The Humboldt Research Award (Münster) * 2010–2014
European Research Council The European Research Council (ERC) is a public body for funding of scientific and technological research conducted within the European Union (EU). Established by the European Commission in 2007, the ERC is composed of an independent Scientific ...
Advanced Grant * 2012. Plenary speaker at International Congress on Mathematical Physics ICMP12 (Aalborg) * 2012. 14th European Latsis Prize from the European Science Foundation, ESF (Brussels) * 2013. Honorary Doctorate from
East China Normal University East China Normal University (ECNU) is a public university in Shanghai, China. It is affiliated with the Ministry of Education (China), Ministry of Education and co-funded with the Shanghai Municipal People's Government. The university is part of ...
, ECNU (Shanghai)


Works (selection)

* Uffe Haagerup:
Principal graphs and subfactors in the index range 4 < M:N < 3 + sqrt
'; pp. 1–38 in ''Subfactors – Proceedings of the Taniguchi Symposium Katata'' (1994).


See also

* Approximately finite-dimensional C*-algebra * Khintchine inequality * Planar algebra * Quasitrace


References


Sources

* European Science Foundation (ESF)
ESF awards 14th European Latsis Prize to Professor Uffe Haagerup for ground-breaking and important contributions to the theory of operator algebras
26 November 2012
Curriculum Vitae (Uffe Haagerup)
University of Copenhagen * Jacob Hjelmborg

''Matilde'' (2002), DMF Aarhus University {{DEFAULTSORT:Haagerup, Uffe Danish mathematicians 1949 births 2015 deaths People from Faaborg-Midtfyn Municipality Members of the Norwegian Academy of Science and Letters Members of the Royal Danish Academy of Sciences and Letters People from Kolding Academic staff of the University of Southern Denmark Academic staff of the University of Copenhagen University of Copenhagen alumni