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Mikhail Khovanov
Mikhail Khovanov (russian: Михаил Гелиевич Хованов; born 1972) is a Russian-American professor of mathematics at Columbia University who works on representation theory, knot theory, and algebraic topology. He is known for introducing Khovanov homology for links, which was one of the first examples of categorification. Education and career Khovanov graduated from Moscow State School 57 mathematical class in 1988. He earned a PhD in mathematics from Yale University in 1997, where he studied under Igor Frenkel. Khovanov was a faculty member at UC Davis before moving to Columbia University. 4 April 2007. "Mikhail Khovanov was in the department when he developed the famous homology theory that bears his name."He is a half-brother of |
Russia
Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the world, with its internationally recognised territory covering , and encompassing one-eighth of Earth's inhabitable landmass. Russia extends across Time in Russia, eleven time zones and shares Borders of Russia, land boundaries with fourteen countries, more than List of countries and territories by land borders, any other country but China. It is the List of countries and dependencies by population, world's ninth-most populous country and List of European countries by population, Europe's most populous country, with a population of 146 million people. The country's capital and List of cities and towns in Russia by population, largest city is Moscow, the List of European cities by population within city limits, largest city entirely within E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moscow State School 57
Moscow State School 57 (russian: Пятьдесят седьмая школа) is a public school located in the Khamovniki District of Moscow, Russia. The school was founded in 1877 and is best known for its specialized secondary program in mathematics and its alumni. History Founding and School 4 (1877–1968) In 1877, , a Russian engineer and educator, founded a realschule in Maly Znamensky Lane, which soon became one of the most progressive vocational schools in Russia. After the October Revolution, the realschule was converted into a boarding school with courses in aesthetic arts and renamed to School 4. It became popular with the Soviet establishment, with top government officials sending their children there. In 1936, the school was transformed again, converting back to a vocational school and acquiring the number 57 in Moscow's educational system. Math classes and new campuses (1968–present) In 1968, Nikolay Konstantinov, a Russian educator in mathematics, ... [...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] |
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] |
1972 Births
Within the context of Coordinated Universal Time (UTC) it was the longest year ever, as two leap seconds were added during this 366-day year, an event which has not since been repeated. (If its start and end are defined using mean solar time he legal time scale its duration was 31622401.141 seconds of Terrestrial Time (or Ephemeris Time), which is slightly shorter than 1908). Events January * January 1 – Kurt Waldheim becomes Secretary-General of the United Nations. * January 4 - The first scientific hand-held calculator (HP-35) is introduced (price $395). * January 7 – Iberia Airlines Flight 602 crashes into a 462-meter peak on the island of Ibiza; 104 are killed. * January 9 – The RMS ''Queen Elizabeth'' is destroyed by fire in Hong Kong harbor. * January 10 – Independence leader Sheikh Mujibur Rahman returns to Bangladesh after spending over nine months in prison in Pakistan. * January 11 – Sheikh Mujibur Rahman declares a new constitutional governme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tanya Khovanova
Tanya Khovanova (Russian: Татьяна Гелиевна Хованова, also spelled Tatyana Hovanova; born 25 January 1959) is a Soviet-American mathematician who became the second female gold medalist at the International Mathematical Olympiads. She is a lecturer in mathematics at the Massachusetts Institute of Technology. Education As a high school student, Khovanova became a member of the Soviet team for the International Mathematical Olympiad (IMO). In the summer of 1975, Valery Senderov gave the team a list of difficult mathematical problems used in the entrance exams of Moscow State University to discriminate against Soviet Jews, a topic she later wrote about. Khovanova won the silver medal at the 1975 IMO, and a gold medal at the 1976 Olympiad. Her finish at the 1976 Olympiad was second among all competitors, the highest achievement for female students until 1984, when Karin Gröger from East Germany tied for the first place. Khovanova graduated with honors from Mos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
UC Davis
The University of California, Davis (UC Davis, UCD, or Davis) is a public land-grant research university near Davis, California. Named a Public Ivy, it is the northernmost of the ten campuses of the University of California system. The institution was first founded as an agricultural branch of the system in 1905 and became the seventh campus of the University of California in 1959. The university is classified among "R1: Doctoral Universities – Very high research activity". The UC Davis faculty includes 23 members of the National Academy of Sciences, 30 members of the American Academy of Arts and Sciences, 17 members of the American Law Institute, 14 members of the Institute of Medicine, and 14 members of the National Academy of Engineering. Among other honors that university faculty, alumni, and researchers have won are two Nobel Prizes, one Fields Medal, a Presidential Medal of Freedom, three Pulitzer Prizes, three MacArthur Fellowships, and a National Medal of Science. Fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Igor Frenkel
Igor Borisovich Frenkel (russian: Игорь Борисович Френкель; born April 22, 1952) is a Russian-American mathematician at Yale University working in representation theory and mathematical physics. Frenkel emigrated to the United States in 1979. He received his PhD from Yale University in 1980 with a dissertation on the "Orbital Theory for Affine Lie Algebras". He held positions at the IAS and MSRI, and a tenured professorship at Rutgers University, before taking his current job of tenured professor at Yale University. He was elected to the National Academy of Sciences in 2018. He is also a Fellow of the American Academy of Arts and Sciences. Mathematical work In collaboration with James Lepowsky and Arne Meurman, he constructed the monster vertex algebra, a vertex algebra which provides a representation of the monster group. Around 1990, as a member of the School of Mathematics at the Institute for Advanced Study, Frenkel worked on the mathematical the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yale University
Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the world. It is a member of the Ivy League. Chartered by the Connecticut Colony, the Collegiate School was established in 1701 by clergy to educate Congregational ministers before moving to New Haven in 1716. Originally restricted to theology and sacred languages, the curriculum began to incorporate humanities and sciences by the time of the American Revolution. In the 19th century, the college expanded into graduate and professional instruction, awarding the first PhD in the United States in 1861 and organizing as a university in 1887. Yale's faculty and student populations grew after 1890 with rapid expansion of the physical campus and scientific research. Yale is organized into fourteen constituent schools: the original undergraduate col ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Categorification
In mathematics, categorification is the process of replacing set-theoretic theorems with category-theoretic analogues. Categorification, when done successfully, replaces sets with categories, functions with functors, and equations with natural isomorphisms of functors satisfying additional properties. The term was coined by Louis Crane. The reverse of categorification is the process of ''decategorification''. Decategorification is a systematic process by which isomorphic objects in a category are identified as equal. Whereas decategorification is a straightforward process, categorification is usually much less straightforward. In the representation theory of Lie algebras, modules over specific algebras are the principal objects of study, and there are several frameworks for what a categorification of such a module should be, e.g., so called (weak) abelian categorifications. Categorification and decategorification are not precise mathematical procedures, but rather a class o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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