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**Egbert Valentin Brieskorn** (7 July 1936, in Rostock – 11 July 2013, in Bonn) was a German mathematician who introduced Brieskorn spheres and the Brieskorn–Grothendieck resolution.^{ [1] }

**Rostock** is a city in the north German state Mecklenburg-Vorpommern. Rostock is on the Warnow river; the district of Warnemünde, 12 kilometres north of the city centre, is directly on the Baltic Sea coast. Rostock is the largest city in Mecklenburg-Vorpommern, as well as its only regiopolis.

The Federal City of **Bonn** is a city on the banks of the Rhine in the German state of North Rhine-Westphalia, with a population of over 300,000. About 24 km (15 mi) south-southeast of Cologne, Bonn is in the southernmost part of the Rhine-Ruhr region, Germany's largest metropolitan area, with over 11 million inhabitants. It is famously known as the birthplace of Ludwig Van Beethoven in 1770. Beethoven spent his childhood and teenage years in Bonn.

In mathematics, a **Brieskorn–Grothendieck resolution** is a resolution conjectured by Alexander Grothendieck, that in particular gives a resolution of the universal deformation of a Kleinian singularity. Egbert Brieskorn (1971) announced the construction of this resolution, and Peter Slodowy (1980) published the details of Brieskorn's construction.

Brieskorn was born in 1936 as the son of a mill construction engineer in East Prussia. He grew up in Freudenberg (Siegerland) and studied mathematics and physics at the Ludwig-Maximilians-Universität München and the Rheinische Friedrich-Wilhelms-Universität Bonn. In 1963 he received his doctorate at Bonn under Friedrich Hirzebruch with thesis *Zur differentialtopologischen und analytischen Klassifizierung gewisser algebraischer Mannigfaltigkeiten*,^{ [2] } followed by his habilitation in 1968.

**Friedrich Ernst Peter Hirzebruch** ForMemRS was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. He has been described as "the most important mathematician in Germany of the postwar period."

**Habilitation** defines the qualification to conduct self-contained university teaching and is the key for access to a professorship in many European countries. Despite all changes implemented in the European higher education systems during the Bologna Process, it is the highest qualification level issued through the process of a university examination and remains a core concept of scientific careers in these countries.

From 1969 until 1973 he was professor ordinarius at Georg-August-Universität Göttingen and from 1973 to 1975 at the Sonderforschungsbereich Theoretische Mathematik in Bonn (since 1980 called the Max-Planck-Institut für Mathematik). From 1975 until his retirement as professor emeritus in 2001 he was a professor ordinarius at Bonn. He held temporary academic positions at the Massachusetts Institute of Technology (MIT) (where in 1965 he was Moore Instructor), the Institut des Hautes Études Scientifiques (IHES), the Eidgenössische Technische Hochschule Zürich (ETH Zürich), the University of Leiden, the University of Oxford, the University of Warwick, the University of Liverpool, and the University of Nice.

The **Massachusetts Institute of Technology** (**MIT**) is a private research university in Cambridge, Massachusetts. Founded in 1861 in response to the increasing industrialization of the United States, MIT adopted a European polytechnic university model and stressed laboratory instruction in applied science and engineering. The institute is a land-grant, sea-grant and space-grant university with campus extends more than a mile along side the Charles river. Its tremendous impact in the physical sciences, engineering and architecture, and more recently in biology, economics, linguistics, management, and social science and art, has made it one of the most prestigious universities in the world. MIT is often ranked among the world's top universities.

The **University of Oxford** is a collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the world's second-oldest university in continuous operation. It grew rapidly from 1167 when Henry II banned English students from attending the University of Paris. After disputes between students and Oxford townsfolk in 1209, some academics fled north-east to Cambridge where they established what became the University of Cambridge. The two 'ancient universities' are frequently jointly called 'Oxbridge'. The history and influence of the University of Oxford has made it one of the most prestigious universities in the world.

Brieskorn was one of the editors of the collected works of Felix Hausdorff. In 1970 he was an invited speaker at the International Congress of Mathematicians in Nice (*Singular elements of semi-simple algebraic groups*). His doctoral students include Wolfgang Ebeling, Gert-Martin Greuel, Horst Knörrer, Peter Slodowy, and Kyoji Saito.

**Felix Hausdorff** was a German mathematician who is considered to be one of the founders of modern topology and who contributed significantly to set theory, descriptive set theory, measure theory, function theory, and functional analysis.

**Nice** is the seventh most populous urban area in France and the capital of the Alpes-Maritimes *département*. The metropolitan area of Nice extends beyond the administrative city limits, with a population of about 1 million on an area of 721 km^{2} (278 sq mi). Located in the French Riviera, on the south east coast of France on the Mediterranean Sea, at the foot of the Alps, Nice is the second-largest French city on the Mediterranean coast and the second-largest city in the Provence-Alpes-Côte d'Azur region after Marseille. Nice is approximately 13 kilometres (8.1 mi) from the principality of Monaco and 30 kilometres (19 mi) from the French-Italian border. Nice's airport serves as a gateway to the region.

**Horst Knörrer** is a German mathematician, who studies algebraic geometry and mathematical physics.

- ↑ "Egbert Brieskorn, 1936–2013 :: commalg.org :: the commutative algebra community". commalg.org. Retrieved 2013-07-16.
- ↑ Egbert Brieskorn at the Mathematics Genealogy Project

**Singular** is a computer algebra system for polynomial computations with special emphasis on the needs of commutative and non-commutative algebra, algebraic geometry, and singularity theory. Singular is free software released under the GNU General Public License. Problems in non-commutative algebra can be tackled with the Singular offspring Plural. Singular is developed under the direction of Wolfram Decker, Gert-Martin Greuel, Gerhard Pfister, and Hans Schönemann, who head Singular's core development team within the Department of Mathematics of the Technische Universität Kaiserslautern. In the DFG Priority Program 1489, interfaces to GAP, Polymake and Gfan are being developed in order to cover recently established areas of mathematics involving convex and algebraic geometry, such as toric and tropical geometry.

**Wilfried Brauer** was a German computer scientist and professor emeritus at Technical University of Munich.

**Werner Müller** is a German mathematician. His research focuses on global analysis and automorphic forms.

**Wolfgang Lück** is a German mathematician who is an internationally recognized expert in Algebraic topology.

**Karl-Theodor "Theo" Sturm** is a German mathematician working in stochastic analysis.

**Joachim von zur Gathen** is a German mathematician and computer scientist. His research spans several areas in mathematics and computer science, including computational complexity, cryptography, finite fields, and computer algebra.

**Matthias Kreck** is a German mathematician who works in the areas of Algebraic Topology and Differential topology. From October 2006 to September 2011 he was the director of the Hausdorff Research Institute for Mathematics at the University of Bonn where he is currently a professor.

**Peter Slodowy** was a German mathematician who worked on singularity theory and algebraic geometry.

**Friedrich Karl Schmidt** was a German mathematician, who made notable contributions to algebra and number theory.

**Peter Scholze** is a German mathematician known for his work in algebraic geometry. He has been a professor at the University of Bonn since 2012, and director at the Max Planck Institute for Mathematics since 2018. He has been called one of the leading mathematicians in the world. He won the Fields Medal in 2018, which is regarded as the highest professional honor in mathematics.

**Eric Mark Friedlander** is an American mathematician who is working in algebraic topology, algebraic geometry, algebraic K-theory and representation theory.

**Günter Harder** is a German mathematician, specializing in arithmetic geometry and number theory.

**Frédéric Pham** is a Vietnamese-French mathematician and mathematical physicist. He is known for the Brieskorn-Pham manifolds.

**Reinhardt Kiehl** is a German mathematician.

**Eberhard Freitag** is a German mathematician, specializing in complex analysis and especially modular forms.

**Hans Jörg Stetter** is a German mathematician, specializing in numerical analysis.

**Carl Friedrich Geiser** was a Swiss mathematician, specializing in algebraic geometry. He is known for the Geiser involution and Geiser's minimal surface.

**Joseph Henri Maria Steenbrink** is a Dutch mathematician, specializing in algebraic geometry.

- Greuel, Gert-Martin (1998), "Aspects of Brieskorn's mathematical work", in Steenbrink, Joseph H.M.; Greuel, Gert-Martin; Arnold, Vladimir I.,
*Singularities: The Brieskorn Anniversary Volume*, Birkhäuser Basel, p. xv, ISBN 978-3-7643-5913-3, MR 1652462

The **International Standard Book Number** (**ISBN**) is a numeric commercial book identifier which is intended to be unique. Publishers purchase ISBNs from an affiliate of the International ISBN Agency.

* Mathematical Reviews* is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also publishes an associated online bibliographic database called MathSciNet which contains an electronic version of

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