The Institute of Mathematical Sciences (
Spanish
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: ''Instituto de Ciencias Matemáticas'' – ICMAT) is a mixed institute affiliated to the
Spanish National Research Council
The Spanish National Research Council ( es, Consejo Superior de Investigaciones CientÃficas, CSIC) is the largest public institution dedicated to research in Spain and the third largest in Europe. Its main objective is to develop and promote res ...
(CSIC) in partnership with three public universities: the
Autonomous University of Madrid
The Autonomous University of Madrid ( es, Universidad Autónoma de Madrid; UAM), commonly known as simply la Autónoma, is a Spanish public university located in Madrid, Spain. The university was founded in 1968 alongside the Autonomous Universi ...
(UAM), the
Charles III University of Madrid
University Charles III of Madrid ( es, Universidad Carlos III de Madrid) (UC3M) is a public university in the Community of Madrid, Spain. Established in 1989, UC3M is an institution with a distinctly international profile. It offers a broad rang ...
(UC3M) and the
Complutense University of Madrid
The Complutense University of Madrid ( es, Universidad Complutense de Madrid; UCM, links=no, ''Universidad de Madrid'', ''Universidad Central de Madrid''; la, Universitas Complutensis Matritensis, links=no) is a public research university loca ...
(UCM). Founded in 2010, the ICMAT headquarters is located in the Cantoblanco Campus in Northern
Madrid
Madrid ( , ) is the capital and most populous city of Spain. The city has almost 3.4 million inhabitants and a metropolitan area population of approximately 6.7 million. It is the second-largest city in the European Union (EU), and ...
.
The ICMAT is composed of the mathematicians belonging to the CSIC and researchers from the three Madrid universities. The structure and composition of the center was based on an initial selection carried out with the assistance of the National Agency for Public Education (
Agencia Nacional de Evaluación y Prospectiva – ANEP) after a public call issued to all interested parties.
Research at the ICMAT
The ICMAT is an institute where work on a broad range of mathematics is conducted, including the transfer of knowledge and results. Initially the main fields of research are as follows:
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...
,
Differential Geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...
,
Algebraic Geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
,
Partial Differential Equations
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function.
The function is often thought of as an "unknown" to be solved for, similarly to ...
,
Fluid Mechanics
Fluid mechanics is the branch of physics concerned with the mechanics of fluids ( liquids, gases, and plasmas) and the forces on them.
It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical and bio ...
,
Dynamical Systems
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 a p ...
,
Geometric Mechanics Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and rigid bodies to fluid mechanics to control theory.
Geometric mechanics applies principally to systems f ...
and
Mathematical Physics
Mathematical physics refers to the development of mathematics, 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 t ...
. In addition to the inclusion of research lines in
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777â ...
,
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
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
in 2011.
Among the research results obtained by researchers from the Institute that have so far had the greatest impact, it is worth mentioning the solution to the Nash problem in Singularity Theory by Javier Fernández de Bobadilla and MarÃa Pe; the
CSIC Institute of Mathematics and Fundamental Physics">Spanish National Research Council">CSIC
CSIC were assigned. The agreement for the creation of the center was signed in November, 2007, after assessment through the 2006–2009 Strategic Plan, to which all the centers connected with the CSIC are subject and in which the international commission recommended the establishment of a separate institute.
A look back over the long history of the
CSIC reveals what may be regarded as forerunners of the ICMAT: the Laboratorio Seminario Matemático of the Junta de Ampliación de Estudios">Spanish National Research Council">CSIC reveals what may be regarded as forerunners of the ICMAT: the Laboratorio Seminario Matemático of the Junta de Ampliación de Estudios (JAE) created in 1915, and the Instituto Jorge Juan de Matemáticas, created in 1939 by the
CSIC.
The ICMAT, Severo Ochoa Center of Excellence
In 2011 the ICMAT was chosen as one of the eight centers of excellence in the
Severo Ochoa Program call for submissions issued by the then
Spanish Ministry of Science and Technology (MICYT).
Among other distinctions, six ICMAT researchers have obtained
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)
Starting Grants, which places the Institute in the foremost position in Europe in mathematics.
Outreach at the ICMAT
Every year the ICMAT participates in the
Science and Technology Week, the
Science in Action competition (the ICMAT being one of the organizing institutions) and since 2012 has participated in
Researchers’ Night (in collaboration with the UAM).
Furthermore, the ICMAT has launched the Matemáticas en la Residencia program (in collaboration with the
Residencia de Estudiantes
The Residencia de Estudiantes, literally the "Student Residence", is a centre of Spanish cultural life in Madrid. The Residence was founded to provide accommodation for students along the lines of classic colleges at Bologna, Salamanca, Cambridge ...
and the
CSIC) in which international figures for the public understanding of science such as
Marcus du Sautoy
Marcus Peter Francis du Sautoy (; born 26 August 1965) is a British mathematician, Simonyi Professor for the Public Understanding of Science at the University of Oxford, Fellow of New College, Oxford and author of popular mathematics and popu ...
,
Jesús MarÃa Sanz-Serna,
Pierre Cartier,
Guillermo MartÃnez,
Edward Frenkel
Edward Vladimirovich Frenkel (; born May 2, 1968) is a Russian-American mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California, Berkeley, a member ...
,
Christiane Rousseau
Christiane Rousseau (born March 30, 1954 in Versailles, France) is a French and Canadian mathematician, a professor in the department of mathematics and statistics at the Université de Montréal. She was president of the Canadian Mathematical Soc ...
,
Antonio Durán
Antonio Durán (19 August 1924 – 11 January 2009) was a Spanish footballer and manager. He is most notable for managing Malmö FF, being the club's most successful manager in terms of championships.
Honours Player Atlético Madrid
*La Liga ( ...
and
John Allen Paulos
John Allen Paulos (born July 4, 1945) is an American professor of mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and ...
have taken part, as well as the Graffiti and Maths competition, which is aimed at secondary school students. The blog Mathematics and its Frontiers has an annual readership of 150,000, in addition to the presence of the Institute in social networks: Facebook and Twitter.
In March, 2013, the ICMAT officially became a Scientific Culture Unit recognized by the
FECYT (Spanish Foundation for Science and Technology), and is the only mathematical institution to enjoy this distinction.
Location and facilities
ICMAT facilities
The ICMAT is located in a new building on the UAM campus and has one auditorium with a capacity for 270 people, a lecture hall that holds 140 and another that holds 80, as well as three more with a capacity of 50, 40 and 30 people, respectively. It also has a library of 1,100 square meters, a large computation area and offices for some 200 researchers.
These facilities are ideal for the celebration of thematic programs, congresses, schools and seminars.
The ICMAT on the UAM+CSIC International Campus of Excellence
The ICMAT forms part of the Theoretical Physics and Mathematics strategic axis on the
UAM+CSIC International Campus of Excellence.
References
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Research institutes in Spain
Science and technology in Spain
Autonomous University of Madrid
Mathematical institutes