Jerry Kazdan
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Jerry Kazdan
Jerry Lawrence Kazdan (born 31 October 1937 in Detroit, Michigan) is an American mathematician noted for his work in differential geometry and the study of partial differential equations. His contributions include the Berger–Kazdan comparison theorem, which was a key step in the proof of the Blaschke conjecture and the classification of Wiedersehen manifolds. His best-known work, done in collaboration with Frank Warner, dealt with the problem of prescribing the scalar curvature of a Riemannian metric. Biography Kazdan received his bachelor's degree in 1959 from Rensselaer Polytechnic Institute and his master's degree in 1961 from NYU. He obtained his PhD in 1963 from the Courant Institute of Mathematical Sciences at New York University; his thesis was entitled ''A Boundary Value Problem Arising in the Theory of Univalent Functions'' and was supervised by Paul Garabedian. He then took a position as a Benjamin Peirce Instructor at Harvard University. Since 1966, he has been ...
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Jerry Kazdan
Jerry Lawrence Kazdan (born 31 October 1937 in Detroit, Michigan) is an American mathematician noted for his work in differential geometry and the study of partial differential equations. His contributions include the Berger–Kazdan comparison theorem, which was a key step in the proof of the Blaschke conjecture and the classification of Wiedersehen manifolds. His best-known work, done in collaboration with Frank Warner, dealt with the problem of prescribing the scalar curvature of a Riemannian metric. Biography Kazdan received his bachelor's degree in 1959 from Rensselaer Polytechnic Institute and his master's degree in 1961 from NYU. He obtained his PhD in 1963 from the Courant Institute of Mathematical Sciences at New York University; his thesis was entitled ''A Boundary Value Problem Arising in the Theory of Univalent Functions'' and was supervised by Paul Garabedian. He then took a position as a Benjamin Peirce Instructor at Harvard University. Since 1966, he has been ...
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Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher learning in the United States and one of the most prestigious and highly ranked universities in the world. The university is composed of ten academic faculties plus Harvard Radcliffe Institute. The Faculty of Arts and Sciences offers study in a wide range of undergraduate and graduate academic disciplines, and other faculties offer only graduate degrees, including professional degrees. Harvard has three main campuses: the Cambridge campus centered on Harvard Yard; an adjoining campus immediately across Charles River in the Allston neighborhood of Boston; and the medical campus in Boston's Longwood Medical Area. Harvard's endowment is valued at $50.9 billion, making it the wealthiest academic institution in the world. Endowment inco ...
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Fellows Of The American Mathematical Society
Fellows may refer to Fellow, in plural form. Fellows or Fellowes may also refer to: Places * Fellows, California, USA * Fellows, Wisconsin, ghost town, USA Other uses * Fellows Auctioneers, established in 1876. *Fellowes, Inc., manufacturer of workspace products *Fellows, a partner in the firm of English canal carriers, Fellows Morton & Clayton * Fellows (surname) See also *North Fellows Historic District, listed on the National Register of Historic Places in Wapello County, Iowa *Justice Fellows (other) Justice Fellows may refer to: * Grant Fellows (1865–1929), associate justice of the Michigan Supreme Court * Raymond Fellows (1885–1957), associate justice of the Maine Supreme Judicial Court {{disambiguation, tndis ...
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Mathematicians At The University Of Pennsylvania
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia ...
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University Of Pennsylvania 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 ...
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Rensselaer Polytechnic Institute Alumni
Rensselaer may refer to: Places *Rensselaer, Indiana, a city ** Rensselaer (Amtrak station), serving the city * Rensselaer, Missouri, a village *Rensselaer County, New York * Rensselaer, New York, a city in Rensselaer County * Rensselaer Falls, New York, a village in St. Lawrence County * Rensselaerville, New York, a town in Albany County *Manor of Rensselaerswyck, the Van Rensselaer family's estate during colonial times People * Van Rensselaer (surname) * Rensselaer Morse Lewis (1820-1888), Wisconsin state legislator * Rensselaer Nelson (1826-1904), U.S. federal judge * Rensselaer Westerlo (1776–1851), U.S. Congressman from New York * Bret Rensselaer, an American-born, British spy in the Bernard Samson novels Other * Rensselaer Polytechnic Institute, a university in Troy, New York See also * Van Rensselaer (other) Van Rensselaer may refer to: *Van Rensselaer family, a prominent Dutch American family *Van Rensselaer (surname), a surname (including a list of people ...
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Courant Institute Of Mathematical Sciences Alumni
Courant may refer to: * ''Hexham Courant'', a weekly newspaper in Northumberland, England * ''The New-England Courant'', an American newspaper, founded in Boston in 1721 * ''Hartford Courant'', a newspaper in the United States, founded in 1764 *Courant (surname) *Courant, Charente-Maritime, a commune in France *Courant, in heraldry, signifying a running animal with all four paws raised - see Attitude (heraldry)#Courant * The Courant Institute of Mathematical Sciences at New York University * Courant, an alternative spelling for the Baroque dance form, courante * The Courant–Friedrichs–Lewy condition (CFL condition) in mathematics * Richard Courant, German mathematician See also * Corante ''Corante: or, Newes from Italy, Germany, Hungarie, Spaine and France'' was the first newspaper printed in England. The earliest of the seven known surviving copies is dated 24 September 1621 (although John Chamberlain is on record as having c ... {{disambiguation ru:Курант ...
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Harvard University Faculty
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher learning in the United States and one of the most prestigious and highly ranked universities in the world. The university is composed of ten academic faculties plus Harvard Radcliffe Institute. The Faculty of Arts and Sciences offers study in a wide range of undergraduate and graduate academic disciplines, and other faculties offer only graduate degrees, including professional degrees. Harvard has three main campuses: the Cambridge campus centered on Harvard Yard; an adjoining campus immediately across Charles River in the Allston neighborhood of Boston; and the medical campus in Boston's Longwood Medical Area. Harvard's endowment is valued at $50.9 billion, making it the wealthiest academic institution in the world. Endowment inco ...
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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 emperor ...
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Prescribed Scalar Curvature Problem
In Riemannian geometry, a branch of mathematics, the prescribed scalar curvature problem is as follows: given a closed, smooth manifold ''M'' and a smooth, real-valued function ''ƒ'' on ''M'', construct a Riemannian metric on ''M'' whose scalar curvature equals ''ƒ''. Due primarily to the work of J. Kazdan and F. Warner in the 1970s, this problem is well understood. The solution in higher dimensions If the dimension of ''M'' is three or greater, then any smooth function ''ƒ'' which takes on a negative value somewhere is the scalar curvature of some Riemannian metric. The assumption that ''ƒ'' be negative somewhere is needed in general, since not all manifolds admit metrics which have strictly positive scalar curvature. (For example, the three-dimensional torus is such a manifold.) However, Kazdan and Warner proved that if ''M'' does admit some metric with strictly positive scalar curvature, then any smooth function ''ƒ'' is the scalar curvature of some Riemannian metric ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ...
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