astronomy

Uffe Haagerup

Uffe Haagerup is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Uffe Haagerup rather than just read about it. In short: Uffe Valentin Haagerup (19 December 1949 – 5 July 2015) was a mathematician from Denmark. Biography Uffe Haagerup was born in Kolding, but grew up on the island of Funen, in the small town of Fåborg.

Key takeaways

Uffe Haagerup belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Uffe Haagerup to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Uffe Haagerup from memory before moving on to harder problems.

Reference excerpt

Uffe Valentin Haagerup (19 December 1949 – 5 July 2015) was a mathematician from Denmark.

Biography Uffe Haagerup was born in Kolding, but grew up on the island of Funen, 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, sparked a lasting interest in the mathematical field of operator algebras, in particular von Neumann algebras 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 close to Fåborg where his family owned a cabin.

Work Uffe Haagerup's mathematical focus has been on the fields of operator algebra, group theory and geometry, 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 and later at the UCLA 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 on von Neumann algebras. 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. 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.

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 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 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, ECNU (Shanghai)

Works (selection) Uffe Haagerup: Principal graphs and subfactors in the index range 4 < M:N < 3 + sqrt{2} Archived 2015-05-18 at the Wayback Machine; 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: Interview with Uffe Haagerup Archived 2005-08-27 at the Wayback Machine, Matilde (2002), DMF Aarhus University (in Danish)

Illustrations

Worked examples

Example 1 — a first encounter with Uffe Haagerup

Start with the simplest possible case. Write down what Uffe Haagerup claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Uffe Haagerup before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Uffe Haagerup ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Uffe Haagerup

In research: Uffe Haagerup appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Uffe Haagerup in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Uffe Haagerup is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1949 births, 2015 deaths, Academic staff of the University of Copenhagen, so understanding it makes those chapters shorter.
In everyday life: Look for Uffe Haagerup outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Uffe Haagerup” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Uffe Haagerup in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Uffe Haagerup means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Uffe Haagerup out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Uffe Haagerup in simple terms?

Uffe Valentin Haagerup (19 December 1949 – 5 July 2015) was a mathematician from Denmark. Biography Uffe Haagerup was born in Kolding, but grew up on the island of Funen, in the small town of Fåborg.

Why does Uffe Haagerup matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Uffe Haagerup?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Uffe Haagerup.