Branches of Mathematics

Pure mathematics

• Algebra
• Calculus
• Geometry
• Topology
• Trignometry
• Combinatorics
• Logic
• Number theory

Applied mathematics

• Dynamical systems and differential equations
• Mathematical physics
• Computing
• Information theory and signal processing
• Probability and statistics
• Game theory
• Operations research

Related Topics

• Electromagnetic Spectrum
• Linear Equations
• Applied Physics
• Nano Technology
• Engineering Sciences
• Mathematical Medicine
• Fluid dynamics
• Computational Mathematics
• Gamma Ray Optics
• Onfrared Optics
• Relative Velocity
• Iciam
• Intelligent Imaging Neuroscience
• Biomedical Engineering
• Neuroscience Research
• Quantum Cosmology
• Brain Research

• Alma mater
• Andrei Okounkov
• Apple Daily
• Arithmetic
• Atle Selberg
• Australia
• Australian
• Authority control
• Autistic savant
• Book Fields Medal
• California
• Cantonese people
• Charles Fefferman
• Child prodigy
• Chinese language
• Circular law
• Clay Research Award
• CNN
• Combinatorics
• Crafoord Prize
• Curtis T. McMullen
• Cédric Villani
• Daniel Quillen
• David Mumford
• Doctor of Philosophy
• Doctoral advisor
• Edward Witten
• Efim Zelmanov
• Elias M. Stein
• Elias Stein
• Elon Lindenstrauss
• English language
• Enrico Bombieri
• F.R.S.
• Fields Medal
• Flinders University
• Gerd Faltings
• Google Australia
• Google Wave
• Green-Tao theorem
• Green–Tao theorem
• Grigori Perelman
• Grigory Margulis
• Harmonic analysis
• Heisuke Hironaka
• Hong Kong
• Horn conjecture
• Information theory
• Jean Bourgain
• Jean-Pierre Serre
• Jesse Douglas
• John G. Thompson
• John Milnor
• JSTOR
• Kakeya conjecture
• Klaus Roth
• Kunihiko Kodaira
• Lars Ahlfors
• Lars Hörmander
• Lars Onsager
• Lars Onsager lecture
• Laurent Lafforgue
• Laurent Schwartz
• Lenhard Ng
• Levi L.Conant Prize
• Los Angeles
• MacArthur Award
• MacArthur Fellowship
• Madrid
• Mathematician
• Mathematics
• Maxim Kontsevich
• Memphis, Tennessee
• Michael Atiyah
• Michael Freedman
• Miraca Gross
• Name Authority File
• NASA
• New Scientist
• Ngo Bao Chau
• Norway
• Onsager Medal
• Oriental Daily
• Ostrowski Prize
• Pierre Deligne
• Pierre-Louis Lions
• Pinyin
• Popular Science
• Portal Mathematics
• Prime number
• Prime numbers
• Princeton University
• Pólya Prize (SIAM)
• René Thom
• Research papers
• Richard Borcherds
• Salem Prize
• Sesame Street
• Shanghai
• Shigefumi Mori
• Shing-Tung Yau
• Simon Donaldson
• Sina.com
• Stanislav Smirnov
• Stephen Smale
• Tao's inequality
• Terence Tao
• The New York Times
• Timothy Gowers
• United States
• USA Today
• Van H. Vu
• Vaughan Jones
• Vladimir Drinfeld
• Vladimir Voevodsky
• Wave map
• Wen Wei Po
• Wendelin Werner
• Wikipedia Persondata
• William Thurston
• Yale Romanization
• YouTube
• Yue Chinese
• 
  

• 
  Australia
  {{Infobox country
  http://wn.com/Australia
• Australian
  http://wn.com/Australian
• 
  California
  California (pronounced ) is the most populous state in the United States and the third-largest by land area, after Alaska and Texas. California is also the most populous sub-national entity in North America. It's on the U.S. West Coast, bordered by the Pacific Ocean to the west and by the states of Oregon to the north, Nevada to the east, Arizona to the southeast, Baja California, Mexico, to the south. Its 5 largest cities are Los Angeles, San Diego, San Jose, San Francisco, and Long Beach, with Los Angeles, San Diego, and San Jose each having at least 1 million residents. Like many populous states, California's capital, Sacramento is smaller than the state's largest city, Los Angeles. The state is home to the nation's 2nd- and 6th-largest census statistical areas and 8 of the nation's 50 most populous cities. California has a varied climate and geography and a multi-cultural population.
  http://wn.com/California
• 
  Hong Kong
  Hong Kong () is one of two special administrative regions (SARs) of the People's Republic of China (PRC), the other being Macau. Situated on China's south coast and enclosed by the Pearl River Delta and South China Sea, it is renowned for its expansive skyline and deep natural harbour. With a land mass of and a population of seven million people, Hong Kong is one of the most densely populated areas in the world. Hong Kong's population is 95 percent ethnic Chinese and 5 percent from other groups. Hong Kong's Han Chinese majority originate mainly from the cities of Guangzhou and Taishan in the neighbouring Guangdong province.
  http://wn.com/Hong_Kong
• 
  Los Angeles
  Los Angeles ( ; , Spanish for "The Angels") is the second most populous city in the United States, the most populous city in the state of California and the western United States, with a population of 3.83 million within its administrative limits on a land area of . The urban area of Los Angeles extends beyond the administrative city limits with a population of over 14.8 million and it is the 14th largest urban area in the world, affording it megacity status. The metropolitan statistical area (MSA) is home to nearly 12.9 million residents while the broader Los Angeles-Long Beach-Riverside combined statistical area (CSA) contains nearly 17.8 million people. Los Angeles is also the seat of Los Angeles County, the most populated and one of the most multicultural counties in the United States. The city's inhabitants are referred to as "Angelenos" ().
  http://wn.com/Los_Angeles
• Madrid
  http://wn.com/Madrid
• 
  Memphis, Tennessee
  Memphis is a city in the southwest corner of the U.S. state of Tennessee, and the county seat of Shelby County. The city is located on the 4th Chickasaw Bluff, south of the confluence of the Wolf and Mississippi rivers.
  http://wn.com/Memphis_Tennessee
• 
  NASA
  The National Aeronautics and Space Administration (NASA, ) is an Executive Branch agency of the United States government, responsible for the nation's civilian space program and aeronautics and aerospace research. Since February 2006, NASA's self-described mission statement is to "pioneer the future in space exploration, scientific discovery and aeronautics research."
  http://wn.com/NASA
• Norway
  http://wn.com/Norway
• 
  Princeton University
  Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution.
  http://wn.com/Princeton_University
• Shanghai
  http://wn.com/Shanghai
• 
  United States
  The United States of America (also referred to as the United States, the U.S., the USA, or America) is a federal constitutional republic comprising fifty states and a federal district. The country is situated mostly in central North America, where its forty-eight contiguous states and Washington, D.C., the capital district, lie between the Pacific and Atlantic Oceans, bordered by Canada to the north and Mexico to the south. The state of Alaska is in the northwest of the continent, with Canada to the east and Russia to the west across the Bering Strait. The state of Hawaii is an archipelago in the mid-Pacific. The country also possesses several territories in the Caribbean and Pacific.
  http://wn.com/United_States

• Alain Connes
  http://wn.com/Alain_Connes
• 
  Andrei Okounkov
  Andrei Yuryevich Okounkov () (born 1969) is a Russian mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions. He is currently a professor at Columbia University.
  http://wn.com/Andrei_Okounkov
• 
  Atle Selberg
  Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory. He was awarded the Fields Medal in 1950.
  http://wn.com/Atle_Selberg
• 
  Charles Fefferman
  Charles Louis Fefferman (born April 18, 1949 in Silver Spring, Maryland to Jewish parents, is an American mathematician at Princeton University. His primary field of research is mathematical analysis.
  http://wn.com/Charles_Fefferman
• Curtis T. McMullen
  http://wn.com/Curtis_T_McMullen
• Cédric Villani
  http://wn.com/Cédric_Villani
• Daniel Quillen
  Daniel Gray "Dan" Quillen (born June 22, 1940) is an American mathematician and a Fields Medalist.
  http://wn.com/Daniel_Quillen
• 
  David Mumford
  David Bryant Mumford (born 11 June 1937) is a mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. He is currently a University Professor in the Division of Applied Mathematics at Brown University, having previously had a long academic career at Harvard University.
  http://wn.com/David_Mumford
• Edward Witten
  http://wn.com/Edward_Witten
• Efim Zelmanov
  http://wn.com/Efim_Zelmanov
• Elias M. Stein
  Elias Menachem Stein (born January 13, 1931) is a mathematician and a leading figure in the field of harmonic analysis. He is the Albert Baldwin Dod Professor of Mathematics at Princeton University. His honors include the Steele Prize (1984 and 2002), the Schock Prize in Mathematics (1993), the Wolf Prize in Mathematics (1999), and the National Medal of Science (2002). In addition, he has fellowships to National Science Foundation, Sloan Foundation, Guggenheim, and National Academy of Sciences. In 2005, Stein was awarded the Stefan Bergman prize in recognition of his contributions in real, complex, and harmonic analysis.
  http://wn.com/Elias_M_Stein
• Elias Stein
  http://wn.com/Elias_Stein
• Enrico Bombieri
  Enrico Bombieri (born 26 November 1940 born in Milan, Italy) is a mathematician who has been working at the Institute for Advanced Studies in Princeton, New Jersey. Bombieri research in number theory, algebraic geometry, and mathematical analysis have earned him many international prizes --- a Fields Medal in 1974 and the Balzan Prize in 1980. In 2010 he received the King Faisal International Prize (jointly with Terence Tao).
  http://wn.com/Enrico_Bombieri
• 
  Gerd Faltings
  Gerd Faltings (born July 28, 1954 in Gelsenkirchen-Buer) is a German mathematician known for his work in arithmetic algebraic geometry.
  http://wn.com/Gerd_Faltings
• Grigori Perelman
  http://wn.com/Grigori_Perelman
• 
  Grigory Margulis
  Gregori Aleksandrovich Margulis (; first name often given as Gregory, Grigori or Grigory) (born February 24, 1946) is a Russian and former Soviet mathematician known for his far-reaching work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978 and a Wolf Prize in Mathematics in 2005, becoming the seventh mathematician to receive both prizes. In 1991, he joined the faculty of Yale University, where he is currently the Erastus L. DeForest Professor of Mathematics.
  http://wn.com/Grigory_Margulis
• Heisuke Hironaka
  http://wn.com/Heisuke_Hironaka
• 
  Hong Kong
  Hong Kong () is one of two special administrative regions (SARs) of the People's Republic of China (PRC), the other being Macau. Situated on China's south coast and enclosed by the Pearl River Delta and South China Sea, it is renowned for its expansive skyline and deep natural harbour. With a land mass of and a population of seven million people, Hong Kong is one of the most densely populated areas in the world. Hong Kong's population is 95 percent ethnic Chinese and 5 percent from other groups. Hong Kong's Han Chinese majority originate mainly from the cities of Guangzhou and Taishan in the neighbouring Guangdong province.
  http://wn.com/Hong_Kong
• Jean Bourgain
  Jean Bourgain (born February 28, 1954) is a Belgian mathematician. He has been a faculty member at the University of Illinois, Urbana-Champaign and now at the Institute for Advanced Study in Princeton, New Jersey.
  http://wn.com/Jean_Bourgain
• 
  Jean-Pierre Serre
  Jean-Pierre Serre (born 15 September 1926) is a French mathematician in the fields of algebraic geometry, number theory and topology. He has received numerous awards and honors for his mathematical research and exposition, including the Fields Medal in 1954 and the Abel Prize in 2003.
  http://wn.com/Jean-Pierre_Serre
• Jesse Douglas
  http://wn.com/Jesse_Douglas
• 
  John G. Thompson
  John Griggs Thompson (born October 13, 1932, in Ottawa, Kansas, USA) is a mathematician noted for his work in the field of finite groups. He was awarded the Fields Medal in 1970, the Wolf Prize in 1992 and the 2008 Abel Prize.
  http://wn.com/John_G_Thompson
• 
  John Milnor
  John Willard Milnor (born February 20, 1931, in Orange, New Jersey) is an American mathematician known for his work in differential topology, K-theory and dynamical systems, and for his influential books. He won the Fields Medal in 1962 and Wolf Prize in 1989. As of 2005, Milnor is a distinguished professor at the State University of New York at Stony Brook. His wife, Dusa McDuff, is a professor of mathematics at Barnard College.
  http://wn.com/John_Milnor
• Klaus Roth
  Klaus Friedrich Roth, () (born 29 October 1925) is a British mathematician known for work on diophantine approximation, the large sieve, and irregularities of distribution. He was born in Breslau (then in Prussia, now in Poland) but raised and educated in the UK. He graduated from Peterhouse, Cambridge in 1945. In 1946 he began research at University College London, under the supervision of Theodor Estermann.
  http://wn.com/Klaus_Roth
• Lars Ahlfors
  http://wn.com/Lars_Ahlfors
• Lars Hörmander
  http://wn.com/Lars_Hörmander
• 
  Lars Onsager
  Lars Onsager (November 27, 1903 – October 5, 1976) was a Norwegian-born American physical chemist and theoretical physicist, winner of the 1968 Nobel Prize in Chemistry.
  http://wn.com/Lars_Onsager
• Laurent Lafforgue
  Laurent Lafforgue (born 6 November 1966, in Antony, Hauts-de-Seine, France) is a French mathematician.
  http://wn.com/Laurent_Lafforgue
• Laurent Schwartz
  http://wn.com/Laurent_Schwartz
• Lenhard Ng
  Lenhard Ng (born December 8, 1976, United States) is an American mathematician working primarily on symplectic geometry. Ng is currently a professor of mathematics at Duke University, North Carolina, but is currently on leave while working at the Mathematical Sciences Research Institute at Berkeley, California.
  http://wn.com/Lenhard_Ng
• Maxim Kontsevich
  http://wn.com/Maxim_Kontsevich
• Michael Atiyah
  http://wn.com/Michael_Atiyah
• Miraca Gross
  Miraca Una Murdoch Gross AM is an Australian author and scholar recognized as an authority on the academic, social and emotional needs of gifted children.
  http://wn.com/Miraca_Gross
• Ngo Bao Chau
  http://wn.com/Ngo_Bao_Chau
• Pierre Deligne
  http://wn.com/Pierre_Deligne
• Pierre-Louis Lions
  http://wn.com/Pierre-Louis_Lions
• René Thom
  http://wn.com/René_Thom
• Richard Borcherds
  Richard Ewen Borcherds (born 29 November 1959) is a British mathematician specializing in lattices, number theory, group theory, and infinite-dimensional algebras. He was awarded the Fields Medal in 1998.
  http://wn.com/Richard_Borcherds
• Shanghai
  http://wn.com/Shanghai
• Shigefumi Mori
  http://wn.com/Shigefumi_Mori
• 
  Shing-Tung Yau
  Shing-Tung Yau (; born April 4, 1949) is a Chinese American mathematician working in differential geometry. He was born in Shantou, Guangdong Province, China into a family of scholars from Jiaoling, Guangdong Province.
  http://wn.com/Shing-Tung_Yau
• Simon Donaldson
  Simon Kirwan Donaldson (born 20 August 1957, in Cambridge, England), is an English mathematician famous for his work on the topology of smooth (differentiable) four-dimensional manifolds. He is now Royal Society research professor in Pure Mathematics and President of the Institute for Mathematical Science at Imperial College London. In 2010, he was elected a foreign member of the Royal Swedish Academy of Sciences.
  http://wn.com/Simon_Donaldson
• Sina.com
  Sina.com is the largest Chinese-language infotainment web portal. It is run by SINA Corporation () which was founded in 1999. The company was founded in Mainland China, and its global financial headquarters have been based in Shanghai since October 1, 2001.
  http://wn.com/Sinacom
• 
  Stanislav Smirnov
  Stanislav Konstantinovich Smirnov (; born 3 September 1970) is a Russian mathematician currently working at the University of Geneva, who was awarded the Fields Medal in 2010. His research focuses on the fields of complex analysis, dynamical systems and probability theory.
  http://wn.com/Stanislav_Smirnov
• Stephen Smale
  http://wn.com/Stephen_Smale
• Terence Tao
  http://wn.com/Terence_Tao
• 
  Timothy Gowers
  William Timothy Gowers FRS (born 20 November 1963, Wiltshire) is a British mathematician. He is Rouse Ball Professor of Mathematics in the Department of Pure Mathematics and Mathematical Statistics at Cambridge University and a Fellow of Trinity College. In 1998 he received the Fields Medal for his research connecting the fields of functional analysis and combinatorics.
  http://wn.com/Timothy_Gowers
• 
  Vaughan Jones
  Sir Vaughan Frederick Randal Jones, KNZM, FRS, FRSNZ (born 31 December 1952) is a New Zealand mathematician, known for his work on von Neumann algebras, knot polynomials and conformal field theory. He was awarded a Fields Medal in 1990, and famously wore a New Zealand rugby jersey when he accepted the prize. Jones is a professor at the University of California, Berkeley and a Distinguished Alumni Professor at the University of Auckland.
  http://wn.com/Vaughan_Jones
• Vladimir Drinfeld
  http://wn.com/Vladimir_Drinfeld
• Vladimir Voevodsky
  Vladimir Voevodsky (, born 4 June 1966) is a Russian mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002.
  http://wn.com/Vladimir_Voevodsky
• Wendelin Werner
  http://wn.com/Wendelin_Werner
• 
  William Thurston
  William Paul Thurston (born October 30, 1946) is an American mathematician. He is a pioneer in the field of low-dimensional topology. In 1982, he was awarded the Fields Medal for the depth and originality of his contributions to mathematics. He is currently a professor of mathematics and computer science at Cornell University (since 2003).
  http://wn.com/William_Thurston

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