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William Messing
William Messing is an American mathematician who works in the field of arithmetic algebraic geometry. Messing received his doctorate in 1971 at Princeton University under the supervisions of Alexander Grothendieck (and Nicholas Katz) with his thesis entitled ''The Crystals Associated to Barsotti–Tate Groups: With Applications to Abelian Schemes.'' In 1972, he was a C.L.E. Moore instructor at Massachusetts Institute of Technology. He is currently a professor at the University of Minnesota (Minneapolis). In his thesis, Messing elaborated on Grothendieck's 1970 lecture at the International Congress of Mathematicians in Nice on p-divisible groups (Barsotti–Tate groups) that are important in algebraic geometry in prime characteristic, which were introduced in the 1950s by Dieudonné in his study of Lie algebras over fields of finite characteristic. Messing worked together with Pierre Berthelot, Barry Mazur and Aise Johan de Jong Aise Johan de Jong (born 30 January 1966) is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Messing
William Messing is an American mathematician who works in the field of arithmetic algebraic geometry. Messing received his doctorate in 1971 at Princeton University under the supervisions of Alexander Grothendieck (and Nicholas Katz) with his thesis entitled ''The Crystals Associated to Barsotti–Tate Groups: With Applications to Abelian Schemes.'' In 1972, he was a C.L.E. Moore instructor at Massachusetts Institute of Technology. He is currently a professor at the University of Minnesota (Minneapolis). In his thesis, Messing elaborated on Grothendieck's 1970 lecture at the International Congress of Mathematicians in Nice on p-divisible groups (Barsotti–Tate groups) that are important in algebraic geometry in prime characteristic, which were introduced in the 1950s by Dieudonné in his study of Lie algebras over fields of finite characteristic. Messing worked together with Pierre Berthelot, Barry Mazur and Aise Johan de Jong Aise Johan de Jong (born 30 January 1966) is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Dieudonné
Jean Alexandre Eugène Dieudonné (; 1 July 1906 – 29 November 1992) was a French mathematician, notable for research in abstract algebra, algebraic geometry, and functional analysis, for close involvement with the Nicolas Bourbaki pseudonymous group and the ''Éléments de géométrie algébrique'' project of Alexander Grothendieck, and as a historian of mathematics, particularly in the fields of functional analysis and algebraic topology. His work on the classical groups (the book ''La Géométrie des groupes classiques'' was published in 1955), and on formal groups, introducing what now are called Dieudonné modules, had a major effect on those fields. He was born and brought up in Lille, with a formative stay in England where he was introduced to algebra. In 1924 he was admitted to the École Normale Supérieure, where André Weil was a classmate. He began working in complex analysis. In 1934 he was one of the group of ''normaliens'' convened by Weil, which would become ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Minnesota Faculty
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university ... [...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] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...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] |
Aise Johan De Jong
Aise Johan de Jong (born 30 January 1966) is a Dutch mathematician born in Belgium. He currently is a professor of mathematics at Columbia University. His research interests include arithmetic geometry and algebraic geometry. Education De Jong attended high school in The Hague, obtained his master's degree at Leiden University and earned his doctorate at the Radboud University Nijmegen in 1992, under supervision of Frans Oort and Joseph H. M. Steenbrink. Career In 1996, de Jong developed his theory of alterations which was used by Fedor Bogomolov and Tony Pantev (1996) and Dan Abramovich and de Jong (1997) to prove resolution of singularities in characteristic 0 and to prove a weaker result for varieties of all dimensions in characteristic ''p'' which is strong enough to act as a substitute for resolution for many purposes. In 2005, de Jong started the Stacks Project, "an open source textbook and reference work on algebraic stacks and the algebraic geometry needed to define ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barry Mazur
Barry Charles Mazur (; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle in geometric topology, and the Mazur manifold in differential topology. Life Born in New York City, Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a then-present ROTC requirement. He was nonetheless accepted for graduate studies at Princeton University, from where he received his PhD in mathematics in 1959 after completing a doctoral dissertation titled "On embeddings of spheres." He then became a Junior Fellow at Harvard University from 1961 to 1964. He is the Gerhard Gade University Professor and a Senior Fellow at Harvard. He is the brother of Joseph Mazur and the father of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre Berthelot
Pierre Berthelot (; born 1943) is a mathematician at the University of Rennes. He developed crystalline cohomology and rigid cohomology. Publications *Berthelot, Pierre ''Cohomologie cristalline des schémas de caractéristique p>0.'' Lecture Notes in Mathematics, Vol. 407. Springer-Verlag, Berlin-New York, 1974. 604 pp. *Berthelot, Pierre; Ogus, Arthur ''Notes on crystalline cohomology.'' Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1978. vi+243 pp. ReferencesHome pageof Pierre Berthelot * External links Author profilein the database zbMATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastruct ... Living people École Normale Supérieure alumni Algebraic geometers 20th-century French mathematicians University of Paris alumni Academic staff ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barsotti–Tate Group
In algebraic geometry, Barsotti–Tate groups or ''p''-divisible groups are similar to the points of order a power of ''p'' on an abelian variety in characteristic ''p''. They were introduced by under the name equidimensional hyperdomain and by under the name p-divisible groups, and named Barsotti–Tate groups by . Definition defined a ''p''-divisible group of height ''h'' (over a scheme ''S'') to be an inductive system of groups ''G''''n'' for ''n''≥0, such that ''G''''n'' is a finite group scheme over ''S'' of order ''p''''hn'' and such that ''G''''n'' is (identified with) the group of elements of order divisible by ''p''''n'' in ''G''''n''+1. More generally, defined a Barsotti–Tate group ''G'' over a scheme ''S'' to be an fppf sheaf of commutative groups over ''S'' that is ''p''-divisible, ''p''-torsion, such that the points ''G''(1) of order ''p'' of ''G'' are (represented by) a finite locally free scheme. The group ''G''(1) has rank ''p''''h'' for some locally c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arithmetic Algebraic Geometry
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. In more abstract terms, arithmetic geometry can be defined as the study of schemes of finite type over the spectrum of the ring of integers. Overview The classical objects of interest in arithmetic geometry are rational points: sets of solutions of a system of polynomial equations over number fields, finite fields, p-adic fields, or function fields, i.e. fields that are not algebraically closed excluding the real numbers. Rational points can be directly characterized by height functions which measure their arithmetic complexity. The structure of algebraic varieties defined over non-algebraically closed fields has become a central area of interest that arose with the modern abstract development of algebraic geometry. Over finite fiel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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