Marta Macho Stadler
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Marta Macho Stadler
Marta Macho Stadler (Bilbao, 1962) is a Basque mathematician, expert in scientific divulgation. She teaches undergraduate courses on geometry and topology at the University of the Basque Country UPV/EHU and her research area is the Geometric Theory of Foliations and Noncommutative Geometry. She is editor in chief of the digital blog ''Mujeres con Ciencia'' (Women with Science) of the Scientific Culture Chair UPV/EHU and has been awarded several prizes, among others the Emakunde Equality Prize 2006. Professional career Macho obtained a degree in mathematics from the University of the Basque Country in 1985, and started working as a lecturer in the Department of Mathematics at the same university. In 1987, she did research with Professor Gilbert Hector at the University Claude Bernard in Lyon, where she finished her 1996 Ph.D. thesis ''Isomorphisme de Thom pour les feuilletages presque sans holonomie'' (Thom isomorphism for foliation almost without holonomy). She is now associat ...
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Bilbao
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Basques
The Basques ( or ; eu, euskaldunak ; es, vascos ; french: basques ) are a Southwestern European ethnic group, characterised by the Basque language, a common culture and shared genetic ancestry to the ancient Vascones and Aquitanians. Basques are indigenous to, and primarily inhabit, an area traditionally known as the Basque Country ( eu, Euskal Herria) — a region that is located around the western end of the Pyrenees on the coast of the Bay of Biscay and straddles parts of north-central Spain and south-western France. Etymology The English word ''Basque'' may be pronounced or and derives from the French ''Basque'' (), itself derived from Gascon ''Basco'' (pronounced ), cognate with Spanish ''Vasco ''(pronounced ). Those, in turn, come from Latin ''Vascō'' (pronounced ; plural '' Vascōnes''—see history section below). The Latin generally evolved into the bilabials and in Gascon and Spanish, probably under the influence of Basque and the related Aquita ...
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University Of The Basque Country
The University of the Basque Country ( eu, Euskal Herriko Unibertsitatea, ''EHU''; es, Universidad del País Vasco, ''UPV''; UPV/EHU) is a Spanish public university of the Basque Autonomous Community. Heir of the University of Bilbao, initially it was made up of the Faculty of Economic and Business Sciences of Sarriko (1955), Medicine (1968) and Sciences (1968). Following the General Law of Education (1970), the Nautical School (1784), the School of Business Studies of Bilbao (1818) and the Technical Schools of Engineers (1897) joined in, until it grew into the complex of thirty centers that compose it presently. It has campuses over the three provinces of the autonomous community: Biscay Campus (in Leioa, Bilbao, Portugalete and Barakaldo), Gipuzkoa Campus (in San Sebastián and Eibar), and Álava Campus in Vitoria-Gasteiz. It stands out as the main research institution in the Basque Country, carrying out 90% of the basic research carried out in that territory and benefitin ...
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Foliation
In mathematics (differential geometry), a foliation is an equivalence relation on an ''n''-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension ''p'', modeled on the decomposition of the real coordinate space R''n'' into the cosets ''x'' + R''p'' of the standardly embedded subspace R''p''. The equivalence classes are called the leaves of the foliation. If the manifold and/or the submanifolds are required to have a piecewise-linear, differentiable (of class ''Cr''), or analytic structure then one defines piecewise-linear, differentiable, or analytic foliations, respectively. In the most important case of differentiable foliation of class ''Cr'' it is usually understood that ''r'' ≥ 1 (otherwise, ''C''0 is a topological foliation). The number ''p'' (the dimension of the leaves) is called the dimension of the foliation and is called its codimension. In some papers on general relativity by mathematical physicists, ...
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Noncommutative Geometry
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions (possibly in some generalized sense). A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which xy does not always equal yx; or more generally an algebraic structure in which one of the principal binary operations is not commutative; one also allows additional structures, e.g. topology or norm, to be possibly carried by the noncommutative algebra of functions. An approach giving deep insight about noncommutative spaces is through operator algebras (i.e. algebras of bounded linear operators on a Hilbert space). Perhaps one of the typical examples of a noncommutative space is the " noncommutative tori", which played a key role in the early development of this field in 1980s and lead to noncommutativ ...
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Claude Bernard University Lyon 1
Claude Bernard University Lyon 1 (french: link=no, Université Claude-Bernard Lyon 1, UCBL) is one of the three public universities of Lyon, France. It is named after the French physiologist Claude Bernard and specialises in science and technology, medicine, and sports science. It was established in 1971 by the merger of the 'faculté des sciences de Lyon' with the 'faculté de médecine'. The main administrative, teaching and research facilities are located in Villeurbanne, with other campuses located in Gerland, Rockefeller, and Laennec in the 8th arrondissement of Lyon. Attached to the University are the Hospices Civils de Lyon, including the 'Centre Hospitalier Lyon-Sud', which is the largest teaching hospital in the Rhône-Alpes region and the second-largest in France. The university has been independent since January 2009. In 2020 it managed an annual budget of over €420 million and had 2857 faculty. History On 17 March 1808, Napoleon I founded the University of ...
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Isomorphism
In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. The word isomorphism is derived from the Ancient Greek: ἴσος ''isos'' "equal", and μορφή ''morphe'' "form" or "shape". The interest in isomorphisms lies in the fact that two isomorphic objects have the same properties (excluding further information such as additional structure or names of objects). Thus isomorphic structures cannot be distinguished from the point of view of structure only, and may be identified. In mathematical jargon, one says that two objects are . An automorphism is an isomorphism from a structure to itself. An isomorphism between two structures is a canonical isomorphism (a canonical map that is an isomorphism) if there is only one isomorphism between the two structures (as it is the case for solutions of a uni ...
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Foliation
In mathematics (differential geometry), a foliation is an equivalence relation on an ''n''-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension ''p'', modeled on the decomposition of the real coordinate space R''n'' into the cosets ''x'' + R''p'' of the standardly embedded subspace R''p''. The equivalence classes are called the leaves of the foliation. If the manifold and/or the submanifolds are required to have a piecewise-linear, differentiable (of class ''Cr''), or analytic structure then one defines piecewise-linear, differentiable, or analytic foliations, respectively. In the most important case of differentiable foliation of class ''Cr'' it is usually understood that ''r'' ≥ 1 (otherwise, ''C''0 is a topological foliation). The number ''p'' (the dimension of the leaves) is called the dimension of the foliation and is called its codimension. In some papers on general relativity by mathematical physicists, ...
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Holonomy
In differential geometry, the holonomy of a connection on a smooth manifold is a general geometrical consequence of the curvature of the connection measuring the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported. For flat connections, the associated holonomy is a type of monodromy and is an inherently global notion. For curved connections, holonomy has nontrivial local and global features. Any kind of connection on a manifold gives rise, through its parallel transport maps, to some notion of holonomy. The most common forms of holonomy are for connections possessing some kind of symmetry. Important examples include: holonomy of the Levi-Civita connection in Riemannian geometry (called Riemannian holonomy), holonomy of connections in vector bundles, holonomy of Cartan connections, and holonomy of connections in principal bundles. In each of these cases, the holonomy of the connection can be identified with a Lie g ...
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Topology
In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set endowed with a structure, called a '' topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopies. A property that is invariant under such deformations is a topological property. Basic examples of topological properties are: the dimension, which allows distinguishing between a line and a surface; compactness, which allows distinguishing between a line and a circle; co ...
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University Of Alicante
The University of Alicante ( ca-valencia, Universitat d'Alacant, italic=no, ; es, Universidad de Alicante, italic=no, ; also known by the acronym ''UA'') was established in 1979 on the basis of the Center for University Studies (CEU), which was founded in 1968. The university main campus is located in San Vicente del Raspeig/Sant Vicent del Raspeig, bordering the city of Alicante to the north. As of 2011/12 academic year, there are approximately 27,500 students studying there. History The university inherits the legacy of the University of Orihuela that was established by Papal Bull in 1545 and remained open for two centuries (1610-1808). Studies The University of Alicante offers courses in more than fifty degrees. It comprises over seventy departments and research groups in areas of Social Science and Law, Experimental science, Technology, Liberal Arts, Education and Health Sciences, and five research institutes. Almost all classes are taught in Spanish language, some are in ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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