The Korteweg-de Vries Institute for Mathematics (KdVI) is the institute for mathematical research at the

University of Amsterdam The University of Amsterdam (abbreviated as UvA, nl, Universiteit van Amsterdam) is a public research university located in Amsterdam, Netherlands. The UvA is one of two large, publicly funded research universities in the city, the other being ...

. The KdVI is located in

Amsterdam Amsterdam ( , , , lit. ''The Dam on the River Amstel'') is the capital and most populous city of the Netherlands, with The Hague being the seat of government. It has a population of 907,976 within the city proper, 1,558,755 in the urban ar ...

at the

Amsterdam Science Park __NOTOC__ Amsterdam Science Park is a science park in the Oost city district of Amsterdam, Netherlands with foci on physics, mathematics, information technology and the life sciences. The 70 hectare (175 acre) park provides accommodations for sci ...

Robbert Dijkgraaf Robertus Henricus "Robbert" Dijkgraaf FRSE (Dutch: born 24 January 1960) is a Dutch theoretical physicist, mathematician and string theorist, and the current Minister of Education, Culture and Science in the Netherlands. From July 2012 unti ...

Alexander Schrijver Alexander (Lex) Schrijver (born 4 May 1948 in Amsterdam) is a Dutch mathematician and computer scientist, a professor of discrete mathematics and optimization at the University of Amsterdam and a fellow at the Centrum Wiskunde & Informatica in ...

Nicolai Reshetikhin Nicolai Yuryevich Reshetikhin (russian: Николай Юрьевич Решетихин, born October 10, 1958 in Leningrad, Soviet Union) is a mathematical physicist, currently a professor of mathematics at Tsinghua University, China and a prof ...

Jacob Korevaar Jacob "Jaap" Korevaar (born 25 January 1923) is a Dutch mathematician. He was part of the faculty of the University of California San Diego and University of Wisconsin–Madison, as well as the University of Amsterdam ( Korteweg-de Vries Institut ...

, Miranda Cheng, Harry Buhrman and Jan van de Craats are notable researchers connected to the institute. The KdVI is an institutional member of the

Royal Dutch Mathematical Society The Royal Dutch Mathematical Society (Koninklijk Wiskundig Genootschap in Dutch, abbreviated as KWG) was founded in 1778. Its goal is to promote the development of mathematics, both from a theoretical and applied point of view. The society publi ...

and the

European Mathematical Society The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current ...

Research

Among the core research directions of the KdVI are: * Algebraic geometry, prof.dr. Lenny Taelman *

Representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

Lie theory In mathematics, the mathematician Sophus Lie ( ) initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called Lie theory. For instance, the latter subject is ...

and

algebraic group In mathematics, an algebraic group is an algebraic variety endowed with a group structure which is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. Ma ...

s, prof.dr. Jasper Stokman and prof.dr.

Eric Opdam Eric Marcus Opdam (born 1960) is a Dutch mathematician, specializing in algebra and harmonic analysis. He is one of the two namesakes of Heckman–Opdam polynomials. Opdam received his PhD from Leiden University in 1988 under the supervision of G ...

Theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experim ...

and

mathematical physics Mathematical physics refers to the development of mathematical methods for application to problems in physics. The '' Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the developme ...

, prof.dr. Sergey Shadrin * Discrete mathematics, algebraic combinatorics and

graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conn ...

, prof.dr.

Jo Ellis-Monaghan Joanna Anthony Ellis-Monaghan is an American mathematician and mathematics educator whose research interests include graph polynomials and topological graph theory. She is a professor of mathematics at the Korteweg-de Vries Institute for Mathema ...

* Pure analysis and

dynamical system In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in ...

s, prof.dr. Han Peters *

Numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods ...

and applied analysis, prof.dr. Rob Stevenson *

Mathematical statistics Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical an ...

and

machine learning Machine learning (ML) is a field of inquiry devoted to understanding and building methods that 'learn', that is, methods that leverage data to improve performance on some set of tasks. It is seen as a part of artificial intelligence. Machine ...

, prof.dr. Joris Mooij *

Probability theory Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set ...

and

queueing theory Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted. Queueing theory is generally considered a branch of operations research because the ...

, prof.dr. Michel Mandjes *

History of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments ...

, dr. Gerard Alberts *

Didactics A didactic method ( el, διδάσκειν ''didáskein'', "to teach") is a teaching method that follows a consistent scientific approach or educational style to present information to students. The didactic method of instruction is often contr ...

, dr. André Heck The institute is involved in several interdisciplinary research collaborations, including The Amsterdam String Theory Group, the NETWORKS programme and the QuSoft research center for quantum software

Education

Besides its research activities, the KdVI runs the education programmes in mathematics at the University of Amsterdam, namely the bachelor programme ''Mathematics'' and the master programmes ''Mathematics'' and ''Stochastics and Financial Mathematics'', and jointly organises interdisciplinary double bachelor programmes ''Mathematics and Physics'' and ''Mathematics and Computer Science''.

Name

The institute is named after the mathematicians Diederik Johannes Korteweg and

Gustav de Vries Gustav de Vries (22 January 1866 – 16 December 1934) was a Dutch mathematician, who is best remembered for his work on the Korteweg–de Vries equation with Diederik Korteweg. He was born on 22 January 1866 in Amsterdam, and studied at th ...

. Korteweg was professor of mathematics at the University of Amsterdam from 1881 to 1918, and De Vries was Korteweg's student. Together they worked on the Korteweg–de Vries equation.

Directors

References

External links