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Jeremy Kahn
Jeremy Adam Kahn (born October 26, 1969) is an American mathematician. He works on hyperbolic geometry, Riemann surfaces and complex dynamics. Education Kahn grew up in New York City and attended Hunter College High School. He was a child prodigy who mastered quadratic equations at the age of 7, at the age of 8 designed an equation identical to the one Carl Gauss designed at the age of 9, and proved the Pythagorean Theorem at the age of 10. Kahn was part of the Johns Hopkins University Study of Mathematically Precocious Youth longitudinal cohort. At the age of 11, he scored a 780 out of a possible 800 on the math portion of the SAT-I exam. At the age of 13, he became the youngest person ever to make the United States International Mathematical Olympiad team He participated in the Olympiad four times, winning silver medals in 1983 and 1984, and gold medals in 1985 and 1986. On the basis of his success in the Putnam competition, he became a Putnam Fellow in 1988. He received a ba ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 contiguous states border Canada to the north and Mexico to the south, with the semi-exclave of Alaska in the northwest and the archipelago of Hawaii in the Pacific Ocean. The United States asserts sovereignty over five Territories of the United States, major island territories and United States Minor Outlying Islands, various uninhabited islands in Oceania and the Caribbean. It is a megadiverse country, with the world's List of countries and dependencies by area, third-largest land area and List of countries and dependencies by population, third-largest population, exceeding 340 million. Its three Metropolitan statistical areas by population, largest metropolitan areas are New York metropolitan area, New York, Greater Los Angeles, Los Angel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johns Hopkins University
The Johns Hopkins University (often abbreviated as Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland, United States. Founded in 1876 based on the European research institution model, Johns Hopkins is considered to be the first research university in the U.S. The university was named for its first benefactor, the American entrepreneur and Quakers, Quaker philanthropist Johns Hopkins. Hopkins's $7 million bequest (equivalent to $ in ) to establish the university was the largest Philanthropy, philanthropic gift in U.S. history up to that time. Daniel Coit Gilman, who was inaugurated as :Presidents of Johns Hopkins University, Johns Hopkins's first president on February 22, 1876, led the university to revolutionize higher education in the U.S. by integrating teaching and research. In 1900, Johns Hopkins became a founding member of the Association of American Universities. The university has led all Higher education in the U ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Invited Speaker At The International Congress Of Mathematicians
An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to websites and other technology-related organisations, the term refers to a more specific situation whereby invitations are sent, but there is never any approval needed from other members. Popular alternatives to this specific version are open registration and closed registration. Open registration is where any user can freely join. Closed registration involves an existing member recommending a new member and approval is sought amongst existing members. The basis of the invitation system is that a member can grant approval to a new user without having to consult any other members. Existing members may receive a set number of invitations (sometimes in the form of tokens) to allow others to join the service. Those invited to a website are typi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ehrenpreis Conjecture
In mathematics, the Ehrenpreis conjecture of Leon Ehrenpreis states that for any ''K'' greater than 1, any two closed Riemann surfaces of genus at least 2 have finite-degree covers which are ''K''- quasiconformal: that is, the covers are arbitrarily close in the Teichmüller metric. A proof was announced by Jeremy Kahn and Vladimir Markovic in January 2011, using their proof of the Surface subgroup conjecture and a newly developed "good pants homology" theory. In June 2012, Kahn and Markovic were given the Clay Research Awards for their work on these two problems by the Clay Mathematics Institute at a ceremony at Oxford University. See also * Surface subgroup conjecture * Virtually Haken conjecture In topology, an area of mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group is ''virtually Haken''. That is, it has a finite cover (a covering s ... * Virtually fibered ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Annals Of Mathematics
The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the founding editor-in-chief. It was "intended to afford a medium for the presentation and analysis of any and all questions of interest or importance in pure and applied Mathematics, embracing especially all new and interesting discoveries in theoretical and practical astronomy, mechanical philosophy, and engineering". It was published in Des Moines, Iowa, and was the earliest American mathematics journal to be published continuously for more than a year or two. This incarnation of the journal ceased publication after its tenth year, in 1883, giving as an explanation Hendricks' declining health, but Hendricks made arrangements to have it taken over by new management, and it was continued from March 1884 as the ''Annals of Mathematics''. T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Surface Subgroup Conjecture
In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed manifold, closed, irreducible manifold, irreducible 3-manifold with infinite fundamental group has a surface subgroup. By "surface subgroup" we mean the fundamental group of a closed surface not the 2-sphere. This problem is listed as Problem 3.75 in Robion Kirby's problem list.Robion Kirby''Problems in low-dimensional topology''/ref> Assuming the geometrization conjecture, the only open case was that of closed hyperbolic 3-manifolds. A mathematical proof, proof of this case was announced in the summer of 2009 by Jeremy Kahn and Vladimir Markovic and outlined in a talk August 4, 2009 at the FRG (Focused Research Group) Conference hosted by the University of Utah. A preprint appeared in the arxiv.org server in October 2009. Their paper was published in the ''Annals of Mathematics'' in 2012. In June 2012, Kahn and Markovic were given the Clay Research Awards by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Clay Research Award
__NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievements in mathematical research. The following mathematicians have received the award: See also * List of mathematics awards This list of mathematics awards contains articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the world. Som ... External links Official web page {{Webarchive, url=https://web.archive.org/web/20180111180359/http://ww ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vladimir Markovic
Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D. MacArthur Professor at the California Institute of Technology (2013–2020) and Sadleirian Professor of Pure Mathematics at the University of Cambridge (2013–2014). Education Marković was educated at the University of Belgrade where he was awarded a Bachelor of Science degree in 1995 and a PhD in 1998. Career and research Previously, Marković has held positions at the University of Warwick, Stony Brook University and the University of Minnesota. Marković is editor of ''Proceedings of the London Mathematical Society''. Marković's research interests are in low-dimensional geometry, topology and dynamics and functional and geometric analysis. Awards and honours Marković was elected a Fellow of the Royal Society (FRS) in 2014. His nomination reads: Marković was also awarded the Clay Research Award in 2012, Whitehead Prize and Philip Leverhulme Prize in 2004. In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Financial Mathematics
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the Finance#Quantitative_finance, financial field. In general, there exist two separate branches of finance that require advanced quantitative techniques: Derivative (finance), derivatives pricing on the one hand, and risk management, risk and Investment management#Investment managers and portfolio structures, portfolio management on the other. Mathematical finance overlaps heavily with the fields of computational finance and financial engineering. The latter focuses on applications and modeling, often with the help of stochastic asset models, while the former focuses, in addition to analysis, on building tools of implementation for the models. Also related is quantitative investing, which relies on statistical and numerical models (and lately machine learning) as opposed to traditional fundamental analysis when investment ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Highbridge Capital Management
Highbridge Capital Management, LLC is a multi-strategy alternative investment management firm founded by Glenn Dubin and Henry Swieca in 1992. In 2004, it was purchased by JPMorgan Chase; as of 2019, it had about $3.9 billion in assets under management, out of $150 billion in JPMorgan's global alternatives division. History The firm was founded in 1992, by childhood friends Glenn Dubin and Henry Swieca. The company started with $35 million in capital and is named after the 19th-century aqueduct that connects Washington Heights and the Bronx. In 2004, J.P. Morgan Asset Management purchased 55% ownership of the firm, and then substantially all the remaining shares in 2009. The company maintains offices in New York and London. The firm operates as a subsidiary of J.P. Morgan Asset Management. In October 2015, it was reported that JPMorgan Chase was nearing a deal to sell the firm's private equity business.Chung, Juliet, and Emily Glazer"J.P. Morgan Near Deal to Sell Majority ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Toronto
The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by royal charter in 1827 as King's College, the first institution of higher learning in Upper Canada. Originally controlled by the Church of England, the university assumed its present name in 1850 upon becoming a secular institution. It has three campuses: University of Toronto Mississauga, Mississauga, #St. George campus, St. George, and University of Toronto Scarborough, Scarborough. Its main campus, St. George, is the oldest of the three and located in Downtown Toronto. U of T operates as a collegiate university, comprising 11 #Colleges, colleges, each with substantial autonomy on financial and institutional affairs and significant differences in character and history. The University of Toronto is the largest university in Canada with a t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Putnam Competition
The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities). It awards a scholarship and cash prizes ranging from $250 to $2,500 for the top students and $5,000 to $25,000 for the top schools, plus one of the top five individual scorers (designated as ''Putnam Fellows'') is awarded a scholarship of up to $12,000 plus tuition at Harvard University (Putnam Fellow Prize Fellowship), the top 100 individual scorers have their names mentioned in the American Mathematical Monthly (alphabetically ordered within rank), and the names and addresses of the top 500 contestants are mailed to all participating institutions. It is widely considered to be the most prestigious university-level mathematics competition in the world, and its difficulty is such that the median score ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
