Eric Marcus Opdam (born 1960) is a Dutch mathematician, specializing in

algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...

and

harmonic analysis Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fo ...

. He is one of the two namesakes of

Heckman–Opdam polynomials In mathematics, Heckman–Opdam polynomials (sometimes called Jacobi polynomials) ''P''λ(''k'') are orthogonal polynomials in several variables associated to root systems. They were introduced by . They generalize Jack polynomials when the roots ...

. Opdam received his PhD from

Leiden University Leiden University (abbreviated as ''LEI''; nl, Universiteit Leiden) is a Public university, public research university in Leiden, Netherlands. The university was founded as a Protestant university in 1575 by William the Silent, William, Prince o ...

in 1988 under the supervision of Gerrit van Dijk. Opdam is a professor 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 ...

. He has been at the

Korteweg-de Vries Institute for Mathematics The Korteweg-de Vries Institute for Mathematics (KdVI) is the institute for mathematical research at the University of Amsterdam. The KdVI is located in Amsterdam at the Amsterdam Science Park. Robbert Dijkgraaf, Alexander Schrijver, Nicolai Resh ...

(KdVI) since 1999. From 2015 he is the KdVI's director as the successor to Jan Wiegerinck. Opdam's research deals with analytic aspects of

Iwahori–Hecke algebra In mathematics, the Iwahori–Hecke algebra, or Hecke algebra, named for Erich Hecke and Nagayoshi Iwahori, is a deformation of the group algebra of a Coxeter group. Hecke algebras are quotients of the group rings of Artin braid groups. This ...

s, with hypergeometric functions associated with Lie algebra root systems (Heckman-Opdam hypergeometric functions), and with

Dunkl operator In mathematics, particularly the study of Lie groups, a Dunkl operator is a certain kind of mathematical operator, involving differential operators but also reflections in an underlying space. Formally, let ''G'' be a Coxeter group with reduced ro ...

s on complex reflection groups. Opdam was an invited speaker in 2000 with talk ''Hecke algebras and harmonic analysis'' at the

European Congress of Mathematics The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely betwee ...

in Barcelona. In 2006 he was an invited speaker at

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

in Madrid. He was elected a member of the

Royal Netherlands Academy of Arts and Sciences The Royal Netherlands Academy of Arts and Sciences ( nl, Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed ...

in 2012. In 2010 he received an Advanced Grant from the

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 ...

(ERC). He is one of four managing editors of

Compositio Mathematica ''Compositio Mathematica'' is a monthly peer-reviewed mathematics journal established by L.E.J. Brouwer in 1935. It is owned by the Foundation Compositio Mathematica, and since 2004 it has been published on behalf of the Foundation by the London M ...

References

{{DEFAULTSORT:Opdam, Eric M. 1960 births Living people 20th-century Dutch mathematicians 21st-century Dutch mathematicians Leiden University alumni Members of the Royal Netherlands Academy of Arts and Sciences Academic staff of the University of Amsterdam