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Annamalai Ramanathan
Annamalai Ramanathan (29 August 1946 – 12 March 1993) was an Indian mathematician in the field of algebraic geometry, who introduced the notion of Frobenius splitting of algebraic varieties jointly with Vikram Bhagvandas Mehta in . The notion of Frobenius splitting led to the solution of many classical problems, in particular a proof of the Demazure character formula and results on the equations defining Schubert varieties in general flag manifolds. Research career Ramanathan got his B.Sc in Mathematics at Ramakrishna Mission Vivekananda College, and was recruited to attend TIFR, where he got his Ph.D. in Mathematics in 1976. His thesis on moduli for principal bundles was published in 1996 in two papers in Proc. Indian Acad. Sci. three years after his death. Ramanathan, was a Professor of Mathematics at the TIFR in Bombay, India. He has also been employed at University of Bonn, Johns Hopkins University and University of Illinois at Urbana-Champaign. Ramanathan made significa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
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, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, 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 Pythagoreans, 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 mathemat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Representation Theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations (for example, matrix addition, matrix multiplication). The theory of matrices and linear operators is well-understood, so representations of more abstract objects in terms of familiar linear algebra objects helps glean properties and sometimes simplify calculations on more abstract theories. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1949 Births
Events January * January 1 – A United Nations-sponsored ceasefire brings an end to the Indo-Pakistani War of 1947. The war results in a stalemate and the division of Kashmir, which still continues as of 2022. * January 2 – Luis Muñoz Marín becomes the first democratically elected Governor of Puerto Rico. * January 11 – The first "networked" television broadcasts take place, as KDKA-TV in Pittsburgh, Pennsylvania goes on the air, connecting east coast and mid-west programming in the United States. * January 16 – Şemsettin Günaltay forms the new government of Turkey. It is the 18th government, last One-party state, single party government of the Republican People's Party. * January 17 – The first Volkswagen Beetle, VW Type 1 to arrive in the United States, a 1948 model, is brought to New York City, New York by Dutch businessman Ben Pon Sr., Ben Pon. Unable to interest dealers or importers in the Volkswagen, Pon sells the sample car to pay his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1993 Deaths
File:1993 Events Collage.png, From left, clockwise: The Oslo I Accord is signed in an attempt to resolve the Israeli–Palestinian conflict; The White House (Moscow), Russian White House is shelled during the 1993 Russian constitutional crisis; Czechoslovakia is peacefully Dissolution of Czechoslovakia, dissolved into the Czech Republic and Slovakia; In the United States, the ATF Waco siege, besieges a compound belonging to David Koresh and the Branch Davidians in a search for illegal weapons, which ends in the building being set alight and killing most inside; Eritrea gains independence; A major 1993 Storm of the Century, snow storm passes over the United States and Canada, leading to over 300 fatalities; Drug lord and narcoterrorism, narcoterrorist Pablo Escobar is killed by Military Forces of Colombia, Colombian special forces; Ramzi Yousef and other Islamic terrorism, Islamic terrorists 1993 World Trade Center bombing, detonate a truck bomb in the subterranean garage of List of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inventiones Mathematicae
''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors are Camillo De Lellis (Institute for Advanced Study, Princeton) and Jean-Benoît Bost Jean-Benoît Bost (born 27 July 1961, in Neuilly-sur-Seine) is a French mathematician. Early life and education In 1977, Bost graduated from the Lycée Louis-le-Grand and finished first in the Concours général, the national competition for the ... ( University of Paris-Sud). Abstracting and indexing The journal is abstracted and indexed in: References External links *{{Official website, https://www.springer.com/journal/222 Mathematics journals Publications established in 1966 English-language journals Springer Science+Business Media academic journals Monthly journals ... [...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''. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chicago
(''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = List of sovereign states, Country , subdivision_name = United States , subdivision_type1 = U.S. state, State , subdivision_type2 = List of counties in Illinois, Counties , subdivision_name1 = Illinois , subdivision_name2 = Cook County, Illinois, Cook and DuPage County, Illinois, DuPage , established_title = Settled , established_date = , established_title2 = Municipal corporation, Incorporated (city) , established_date2 = , founder = Jean Baptiste Point du Sable , government_type = Mayor–council government, Mayor–council , governing_body = Chicago City Council , leader_title = Mayor of Chicago, Mayor , leader_name = Lori Lightfo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tamil People
The Tamil people, also known as Tamilar ( ta, தமிழர், Tamiḻar, translit-std=ISO, in the singular or ta, தமிழர்கள், Tamiḻarkaḷ, translit-std=ISO, label=none, in the plural), or simply Tamils (), are a Dravidian peoples, Dravidian ethno-linguistic group who trace their ancestry mainly to India’s South India, southern state of Tamil Nadu, union territory of Puducherry (union territory), Puducherry and to Sri Lanka. Tamils who speak the Tamil Language and are born in :Social groups of Tamil Nadu, Tamil clans are considered Tamilians. Tamils constitute 5.9% of the population in India (concentrated mainly in Tamil Nadu and Puducherry), 15% in Sri Lanka (excluding Sri Lankan Moors), 7% in Tamil Malaysians, Malaysia, 6% in Tamil Mauritians, Mauritius, and 5% in Indian Singaporeans, Singapore. From the 4th century BCE, urbanisation and mercantile activity along the western and eastern coasts of what is today Kerala and Tamil Nadu led to the develo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shanti Swarup Bhatnagar Prize For Science And Technology
The Shanti Swarup Bhatnagar Prize for Science and Technology (SSB) is a science award in India given annually by the Council of Scientific and Industrial Research (CSIR) for notable and outstanding research, applied or fundamental, in biology, chemistry, environmental science, engineering, mathematics, medicine, and physics. The prize recognizes outstanding Indian work (according to the view of CSIR awarding committee) in science and technology Technology is the application of knowledge to reach practical goals in a specifiable and reproducible way. The word ''technology'' may also mean the product of such an endeavor. The use of technology is widely prevalent in medicine, scie .... It is the most coveted award in multidisciplinary science in India. The award is named after the founder Director of the Council of Scientific & Industrial Research, Shanti Swarup Bhatnagar. It was first awarded in 1958. Any citizen of India engaged in research in any field of scienc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Council Of Scientific And Industrial Research
The Council of Scientific and Industrial Research ( IAST: ''vaigyanik tathā audyogik anusandhāna pariṣada''), abbreviated as CSIR, was established by the Government of India in September 1942 as an autonomous body that has emerged as the largest research and development organisation in India. CSIR is also among the world's largest publicly funded R&D organisation which is pioneering sustained contribution to S&T human resource development in the country. , it runs 37 laboratories/institutes, 39 outreach centres, 3 Innovation Centres and 5 units throughout the nation, with a collective staff of over 14,000, including a total of 4,600 scientists and 8,000 technical and support personnel. Although it is mainly funded by the Ministry of Science and Technology, it operates as an autonomous body through the Societies Registration Act, 1860. The research and development activities of CSIR include aerospace engineering, structural engineering, ocean sciences, life sciences and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gauge Theory
In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups). The term ''gauge'' refers to any specific mathematical formalism to regulate redundant degrees of freedom in the Lagrangian of a physical system. The transformations between possible gauges, called ''gauge transformations'', form a Lie group—referred to as the ''symmetry group'' or the ''gauge group'' of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises a corresponding field (usually a vector field) called the ''gauge field''. Gauge fields are included in the Lagrangian to ensure its invariance under the local group transformations (called ''gauge invariance''). When such a theory is quantized, the quanta of the gauge fields are called '' gauge boson ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
