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Ofer Gabber
Ofer Gabber (עופר גאבר; born May 16, 1958) is a mathematician working in algebraic geometry. Life In 1978 Gabber received a Ph.D. from Harvard University for the thesis ''Some theorems on Azumaya algebras,'' written under the supervision of Barry Mazur. Gabber has been at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette in Paris since 1984 as a CNRS senior researcher. He won the Erdős Prize in 1981 and the Prix Thérèse Gautier from the French Academy of Sciences in 2011. In 1981 Gabber with Victor Kac published a proof of a conjecture stated by Kac in 1968. Books * With Lorenzo Ramero: ''Almost Ring Theory'', Springer, Lecture Notes in Computer Science, vol 1800, 2003. * With Brian Conrad, Gopal Prasad: ''Pseudo-reductive Groups'', Cambridge University Press, 20102015, 2nd editionref> See also *almost ring theory *Theorem of absolute purity In algebraic geometry, the theorem of absolute (cohomological) purity is an important theorem in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ofer Gabber
Ofer Gabber (עופר גאבר; born May 16, 1958) is a mathematician working in algebraic geometry. Life In 1978 Gabber received a Ph.D. from Harvard University for the thesis ''Some theorems on Azumaya algebras,'' written under the supervision of Barry Mazur. Gabber has been at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette in Paris since 1984 as a CNRS senior researcher. He won the Erdős Prize in 1981 and the Prix Thérèse Gautier from the French Academy of Sciences in 2011. In 1981 Gabber with Victor Kac published a proof of a conjecture stated by Kac in 1968. Books * With Lorenzo Ramero: ''Almost Ring Theory'', Springer, Lecture Notes in Computer Science, vol 1800, 2003. * With Brian Conrad, Gopal Prasad: ''Pseudo-reductive Groups'', Cambridge University Press, 20102015, 2nd editionref> See also *almost ring theory *Theorem of absolute purity In algebraic geometry, the theorem of absolute (cohomological) purity is an important theorem in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brian Conrad
Brian Conrad (born November 20, 1970) is an American mathematician and number theorist, working at Stanford University. Previously, he taught at the University of Michigan and at Columbia University. Conrad and others proved the modularity theorem, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with Christophe Breuil, Fred Diamond and Richard Taylor, while holding a joint postdoctoral position at Harvard University and the Institute for Advanced Study in Princeton, New Jersey. Conrad received his bachelor's degree from Harvard in 1992, where he won a prize for his undergraduate thesis. He did his doctoral work under Andrew Wiles and went on to receive his Ph.D. from Princeton University in 1996 with a dissertation titled ''Finite Honda Systems And Supersingular Elliptic Curves''. He was also featured as an extra in Nova's ''The Proof''. His identical twin brother Keith Conrad, also a number theorist, is a professor at the University of Connecticut. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1958 Births
Events January * January 1 – The European Economic Community (EEC) comes into being. * January 3 – The West Indies Federation is formed. * January 4 ** Edmund Hillary's Commonwealth Trans-Antarctic Expedition completes the third overland journey to the South Pole, the first to use powered vehicles. ** Sputnik 1 (launched on October 4, 1957) falls to Earth from its orbit, and burns up. * January 13 – Battle of Edchera: The Moroccan Army of Liberation ambushes a Spanish patrol. * January 27 – A Soviet-American executive agreement on cultural, educational and scientific exchanges, also known as the "Lacy-Zarubin Agreement, Lacy–Zarubin Agreement", is signed in Washington, D.C. * January 31 – The first successful American satellite, Explorer 1, is launched into orbit. February * February 1 – Egypt and Syria unite, to form the United Arab Republic. * February 6 – Seven Manchester United F.C., Manchester United footballers are among the 21 people killed i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometers
Algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings. Algebraic may also refer to: * Algebraic data type, a datatype in computer programming each of whose values is data from other datatypes wrapped in one of the constructors of the datatype * Algebraic numbers, a complex number that is a root of a non-zero polynomial in one variable with integer coefficients * Algebraic functions, functions satisfying certain polynomials * Algebraic element, an element of a field extension which is a root of some polynomial over the base field * Algebraic extension, a field extension such that every element is an algebraic element over the base field * Algebraic definition, a definition in mathematical logic which is given using only equalities between terms * Algebraic structure, a set with one or more finitary operations defined on it * Algebraic, the order of ent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Israeli Mathematicians
Israeli may refer to: * Something of, from, or related to the State of Israel * Israelis, citizens or permanent residents of the State of Israel * Modern Hebrew, a language * ''Israeli'' (newspaper), published from 2006 to 2008 * Guni Israeli (born 1984), Israeli basketball player See also * Israelites, the ancient people of the Land of Israel * List of Israelis Israelis ( he, ישראלים ''Yiśraʾelim'') are the citizens or permanent residents of the State of Israel, a multiethnic state populated by people of different ethnic backgrounds. The largest ethnic groups in Israel are Jews (75%), foll ... {{disambiguation Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theorem Of Absolute Purity
In algebraic geometry, the theorem of absolute (cohomological) purity is an important theorem in the theory of étale cohomology. It states:A version of the theorem is stated at given *a regular scheme ''X'' over some base scheme, *i: Z \to X a closed immersion of a regular scheme of pure codimension ''r'', *an integer ''n'' that is invertible on the base scheme, *\mathcal a locally constant étale sheaf with finite stalks and values in \mathbb/n\mathbb, for each integer m \ge 0, the map :\operatorname^m(Z_; \mathcal) \to \operatorname^_Z(X_; \mathcal(r)) is bijective, where the map is induced by cup product with c_r(Z). The theorem was introduced in SGA 5 Exposé I, § 3.1.4. as an open problem. Later, Thomason proved it for large ''n'' and Gabber in general. See also *purity (algebraic geometry) In the mathematical field of algebraic geometry, purity is a theme covering a number of results and conjectures, which collectively address the question of proving that "when something ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Almost Ring Theory
In mathematics, almost modules and almost rings are certain objects interpolating between rings and their fields of fractions. They were introduced by in his study of ''p''-adic Hodge theory. Almost modules Let ''V'' be a local integral domain with the maximal ideal ''m'', and ''K'' a fraction field of ''V''. The category of ''K''-modules, ''K''-Mod, may be obtained as a quotient of ''V''-Mod by the Serre subcategory of torsion modules, i.e. those ''N'' such that any element ''n'' in ''N'' is annihilated by some nonzero element in the maximal ideal. If the category of torsion modules is replaced by a smaller subcategory, we obtain an intermediate step between ''V''-modules and ''K''-modules. Faltings proposed to use the subcategory of almost zero modules, i.e. ''N'' ∈ ''V''-Mod such that any element ''n'' in ''N'' is annihilated by ''all'' elements of the maximal ideal. For this idea to work, ''m'' and ''V'' must satisfy certain technical conditions. Let ''V'' be a ring (not ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gopal Prasad
Gopal Prasad (born 31 July 1945 in Ghazipur, India) is an Indian-American mathematician. His research interests span the fields of Lie groups, their discrete subgroups, algebraic groups, arithmetic groups, geometry of locally symmetric spaces, and representation theory of reductive p-adic groups. He is the Raoul Bott Professor of Mathematics at the University of Michigan in Ann Arbor. Education Prasad earned his bachelor's degree with honors in Mathematics from Magadh University in 1963. Two years later, in 1965, he received his master's degree in Mathematics from Patna University. After a brief stay at the Indian Institute of Technology Kanpur in their Ph.D. program for Mathematics, Prasad entered the Ph.D. program at the Tata Institute of Fundamental Research (TIFR) in 1966. There he began a long and extensive collaboration with his advisor M. S. Raghunathan on several topics including the study of lattices in semi-simple Lie groups and the congruence subgroup problem. In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lorenzo Ramero
Lorenzo Ramero is an Italian mathematician living in France, specialized in algebraic and arithmetic geometry. He is currently a professor of mathematics at the University of Lille. Ramero obtained his Laurea in Matematica from the University of Pisa and his Diploma from the Scuola Normale Superiore di Pisa in 1989. He completed his Ph.D. at the Massachusetts Institute of Technology in 1994 under the supervision of Alexander Beilinson, with a thesis titled ''An \ell-adic Fourier transform over local fields''. Together with Ofer Gabber, Ramero developed the algebraic geometry based on almost rings extending earlier ideas of Gerd Faltings on "almost mathematics". This theory extends already classical algebraic geometry formalism of Alexander Grothendieck's school in order to treat new phenomena in p-adic Hodge theory. This work is systematized in their monograph ''Almost ring theory''. More foundational material was developed after the first book, and especially an extended theor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topology of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victor Kac
Victor Gershevich (Grigorievich) Kac (russian: link=no, Виктор Гершевич (Григорьевич) Кац; born 19 December 1943) is a Soviet and American mathematician at MIT, known for his work in representation theory. He co-discovered Kac–Moody algebras, and used the Weyl character formula#Weyl.E2.80.93Kac character formula, Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite-dimensional simple Lie superalgebras, and found the Kac determinant formula for the Virasoro algebra. He is also known for the Kac–Weisfeiler conjectures with Boris Weisfeiler. Biography Kac studied mathematics at Moscow State University, receiving his MS in 1965 and his PhD in 1968. From 1968 to 1976, he held a teaching position at the Moscow Institute of Electronic Machine Building (MIEM). He left the Soviet Union in 1977, becoming an associate professor of mathematics at MIT. In 1981, he was promoted to full professor. Kac received a Sloa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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