Bryna Kra
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Bryna Kra
Bryna Rebekah Kra (born 1966) is an American mathematician and Sarah Rebecca Roland Professor at Northwestern University who is on the board of trustees of the American Mathematical Society and was elected the president of American Mathematical Society in 2021. As a member of American Academy of Arts and Sciences and National Academy of Sciences, Kra has made significant contributions to the structure theory of characteristic factors for multiple ergodic averages. Her academic work centered on dynamical systems and ergodic theory, and uses dynamical methods to address problems in number theory and combinatorics. Education and career Kra was born in 1966 in Boston. She graduated with a bachelor's degree from Harvard University in 1988, and obtained her Ph.D. from Stanford University in 1995 under the guidance of Yitzhak Katznelson. She held postdoctoral positions at the Hebrew University in Jerusalem, the University of Michigan, the IHÉS and the Ohio State University before j ...
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Northwestern University
Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Chartered by the Illinois General Assembly in 1851, Northwestern was established to serve the former Northwest Territory. The university was initially affiliated with the Methodist Episcopal Church but later became non-sectarian. By 1900, the university was the third largest university in the United States. In 1896, Northwestern became a founding member of the Big Ten Conference, and joined the Association of American Universities as an early member in 1917. The university is composed of eleven undergraduate, graduate, and professional schools, which include the Kellogg School of Management, the Pritzker School of Law, the Feinberg School of Medicine, the Weinberg College of Arts and Sciences, the Bienen School of Music, the McCormick ...
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Ohio State University
The Ohio State University, commonly called Ohio State or OSU, is a public land-grant research university in Columbus, Ohio. A member of the University System of Ohio, it has been ranked by major institutional rankings among the best public universities in the United States. Founded in 1870 as the state's land-grant university and the ninth university in Ohio with the Morrill Act of 1862, Ohio State was originally known as the Ohio Agricultural and Mechanical College and focused on various agricultural and mechanical disciplines, but it developed into a comprehensive university under the direction of then-Governor and later U.S. president Rutherford B. Hayes, and in 1878, the Ohio General Assembly passed a law changing the name to "the Ohio State University" and broadening the scope of the university. Admission standards tightened and became greatly more selective throughout the 2000s and 2010s. Ohio State's political science department and faculty have greatly contri ...
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Math For America
Math for America (MfA) is a nonprofit organization, founded in January 2004 by American billionaire mathematician, hedge fund manager, and philanthropist Jim Simons to promote recruitment and retention of mathematics teachers in New York City secondary schools. History According to Simons, he founded the program to address failures in the US education system to produce students highly qualified in STEM skills and knowledge, which reduces America's ability to compete in the global economy. He perceived the cause of the failure as low quality teachers, and saw that problem in turn as being caused by low salaries, lack of prestige, and lack of support and good training making the job unattractive to qualified candidates, many of whom could get jobs in lucrative fields like quantitative finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, ...
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Irwin Kra
Irwin Kra (born January 5, 1937) is an American mathematician, who works on the function (mathematics), function theory in complex analysis. Life and work Kra studied at Polytechnic Institute of Brooklyn (bachelor's degree in 1960) and at Columbia University, where he graduated in 1964 and received his doctorate in 1966 under supervision of Lipman Bers (Conformal Structure and Algebraic Structure). After that, he was from 1966 to 1968 a C.L.E. Moore instructor at Massachusetts Institute of Technology and then at the State University of New York at Stony Brook, where he chaired from 1975 to 1981 the Faculty of Mathematics. From 1991 to 1996, there, he was Dean of the Division of Physical Sciences and Mathematics. Since 2004 he has been Professor Emeritus. He was a visiting professor at the Hebrew University in Jerusalem (where he collaborated with Hershel M. Farkas), the University of Perugia in Santiago de Chile, the Tohoku University, the Fudan University in Shanghai (1987). Fr ...
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Association For Women In Mathematics
The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment of women and girls in the mathematical sciences. The AWM was founded in 1971 and incorporated in the state of Massachusetts. AWM has approximately 5200 members, including over 250 institutional members, such as colleges, universities, institutes, and mathematical societies. It offers numerous programs and workshops to mentor women and girls in the mathematical sciences. Much of AWM's work is supported through federal grants. History The Association was founded in 1971 as the Association of Women Mathematicians, but the name was changed almost immediately. As reported in "A Brief History of the Association for Women in Mathematics: The Presidents' Perspectives", by Lenore Blum: Mary Gray, an early organizer and first president, placed ...
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Simons Foundation
The Simons Foundation is a private foundation established in 1994 by Marilyn and Jim Simons with offices in New York City. As one of the largest charitable organizations in the US with assets of over $5 billion in 2022, the foundation's mission is to advance the frontiers of research in mathematics and the basic sciences. The foundation supports science by making grants to individual researchers and their projects. In 2021, Marilyn Simons stepped down as president after 26 years at the helm, and astrophysicist David Spergel was appointed president. The Flatiron Institute In 2016, the foundation launched the Flatiron Institute, its in-house multidisciplinary research institute focused on computational science. The Flatiron Institute hosts centers for computational science in five areas: Funding Areas The foundation makes grants in four program areas: Simons Investigators awardees Among other programs, the Simons Foundation funds the Simons Investigators in MPS program ...
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National Academy Of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the National Academy of Medicine (NAM). As a national academy, new members of the organization are elected annually by current members, based on their distinguished and continuing achievements in original research. Election to the National Academy is one of the highest honors in the scientific field. Members of the National Academy of Sciences serve '' pro bono'' as "advisers to the nation" on science, engineering, and medicine. The group holds a congressional charter under Title 36 of the United States Code. Founded in 1863 as a result of an Act of Congress that was approved by Abraham Lincoln, the NAS is charged with "providing independent, objective advice to the nation on matters related to science and technology. ... to provide scien ...
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American Academy Of Arts And Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other Founding Fathers of the United States. It is headquartered in Cambridge, Massachusetts. Membership in the academy is achieved through a thorough petition, review, and election process. The academy's quarterly journal, ''Dædalus'', is published by MIT Press on behalf of the academy. The academy also conducts multidisciplinary public policy research. History The Academy was established by the Massachusetts legislature on May 4, 1780, charted in order "to cultivate every art and science which may tend to advance the interest, honor, dignity, and happiness of a free, independent, and virtuous people." The sixty-two incorporating fellows represented varying interests and high standing in the political, professional, and commercial secto ...
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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 its monocentric metropolitan area is the third-largest in the EU.United Nations Department of Economic and Social AffairWorld Urbanization Prospects (2007 revision), (United Nations, 2008), Table A.12. Data for 2007. The municipality covers geographical area. Madrid lies on the River Manzanares in the central part of the Iberian Peninsula. Capital city of both Spain (almost without interruption since 1561) and the surrounding autonomous community of Madrid (since 1983), it is also the political, economic and cultural centre of the country. The city is situated on an elevated plain about from the closest seaside location. The climate of Madrid features hot summers and cool winters. The Madrid urban agglomeration has the second-large ...
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List Of International Congresses Of Mathematicians Plenary And Invited Speakers
This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." The current list of Plenary and Invited Speakers presented here is based on the ICM's post-WW II terminology, in which the one-hour speakers in the morning sessions are called "Plenary Speakers" and the other speakers (in the afternoon sessions) whose talks are included in the ICM published proceedings are called "Invited Speakers". In the pre-WW II congresses the Plenary Speakers were called "Invited Speakers". By congress year 1897, Zürich * Jules Andrade * Léon Autonne *Émile Borel * N. V. Bougaïev *Francesco Brioschi *Hermann Brunn *Cesare Burali-Forti *Charles Jean de la Vallée Poussin *Gustaf Eneström *Federigo Enriques *Gino Fano * Zoel García de Galdeano * Francesco Gerbaldi *Paul Gordan *Jacques Hadamard * Adolf Hurwitz ...
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Green–Tao Theorem
In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number ''k'', there exist arithmetic progressions of primes with ''k'' terms. The proof is an extension of Szemerédi's theorem. The problem can be traced back to investigations of Lagrange and Waring from around 1770.. Statement Let \pi(N) denote the number of primes less than or equal to N. If A is a subset of the prime numbers such that : \limsup_ \frac>0, then for all positive integers k, the set A contains infinitely many arithmetic progressions of length k. In particular, the entire set of prime numbers contains arbitrarily long arithmetic progressions. In their later work on the generalized Hardy–Littlewood conjecture, Green and Tao stated and conditionally proved the asymptotic formula : (\mathfrak_k + o(1))\frac for the number of ''k'' tuples of primes ...
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