Shreeram Shankar Abhyankar
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Shreeram Shankar Abhyankar
Shreeram Shankar Abhyankar (22 July 1930 – 2 November 2012) was an Indian American mathematician known for his contributions to algebraic geometry. He, at the time of his death, held the Marshall Distinguished Professor of Mathematics Chair at Purdue University, and was also a professor of computer science and industrial engineering. He is known for Abhyankar's conjecture of finite group theory. His latest research was in the area of computational and algorithmic algebraic geometry. Career Abhyankar was born in a Chitpavan Brahmin family in Ujjain, Madhya Pradesh, India. He earned his B.Sc. from Royal Institute of Science of University of Mumbai in 1951, his M.A. at Harvard University in 1952, and his Ph.D. at Harvard in 1955. His thesis, written under the direction of Oscar Zariski, was titled ''Local uniformization on algebraic surfaces over modular ground fields''. Before going to Purdue, he was an associate professor of mathematics at Cornell University and Johns Hopkin ...
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Chauvenet Prize
The Chauvenet Prize is the highest award for mathematical expository writing. It consists of a prize of $1,000 and a certificate, and is awarded yearly by the Mathematical Association of America in recognition of an outstanding expository article on a mathematical topic. The prize is named in honor of William Chauvenet and was established through a gift from J. L. Coolidge in 1925. The Chauvenet Prize was the first award established by the Mathematical Association of America. A gift from MAA president Walter B. Ford in 1928 allowed the award to be given every 3 years instead of the originally planned 5 years. Winners *1925 G. A. Bliss *1929 T. H. Hildebrandt *1932 G. H. Hardy *1935 Dunham Jackson *1938 G. T. Whyburn *1941 Saunders Mac Lane *1944 R. H. Cameron *1947 Paul Halmos *1950 Mark Kac *1953 E. J. McShane *1956 Richard H. Bruck *1960 Cornelius Lanczos *1963 Philip J. Davis *1964 Leon Henkin *1965 Jack K. Hale & Joseph P. LaSalle *1967 Guido Weiss *1968 Mark ...
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Purdue
Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money to establish a college of science, technology, and agriculture in his name. The first classes were held on September 16, 1874, with six instructors and 39 students. It has been ranked as among the best public universities in the United States by major institutional rankings, and is renowned for its engineering program. The main campus in West Lafayette offers more than 200 majors for undergraduates, over 70 masters and doctoral programs, and professional degrees in pharmacy, veterinary medicine, and doctor of nursing practice. In addition, Purdue has 18 intercollegiate sports teams and more than 900 student organizations. Purdue is the founding member of the Big Ten Conference and enrolls the largest student body of any individual univer ...
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Master Of Arts
A Master of Arts ( la, Magister Artium or ''Artium Magister''; abbreviated MA, M.A., AM, or A.M.) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Those admitted to the degree have typically studied subjects within the scope of the humanities and social sciences, such as history, literature, languages, linguistics, public administration, political science, communication studies, law or diplomacy; however, different universities have different conventions and may also offer the degree for fields typically considered within the natural sciences and mathematics. The degree can be conferred in respect of completing courses and passing examinations, research, or a combination of the two. The degree of Master of Arts traces its origins to the teaching license or of the University of Paris, designed to produce "masters" who were graduate teachers of their subjects. Europe Czech Republic a ...
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University Of Mumbai
The University of Mumbai is a collegiate university, collegiate, State university (India), state-owned, Public university, public research university in Mumbai. The University of Mumbai is one of the largest universities in the world. , the university had 711 affiliated colleges. Ratan Tata is the appointed head of the advisory council. History In accordance with "Wood's despatch", drafted by Charles Wood, 1st Viscount Halifax, Sir Charles Wood in 1854, the University of Bombay was established in 1857 after the presentation of a petition from the Bombay Association to the British colonial government in India. The University of Mumbai was modelled on similar universities in the United Kingdom, specifically the University of London. The first departments established were the Faculty of Arts at Elphinstone College in 1835 and the Faculty of Medicine at Grant Medical College in 1845. Both colleges existed before the university was founded and surrendered their degree-granting priv ...
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Madhya Pradesh
Madhya Pradesh (, ; meaning 'central province') is a state in central India. Its capital is Bhopal, and the largest city is Indore, with Jabalpur, Ujjain, Gwalior, Sagar, and Rewa being the other major cities. Madhya Pradesh is the second largest Indian state by area and the fifth largest state by population with over 72 million residents. It borders the states of Uttar Pradesh to the northeast, Chhattisgarh to the east, Maharashtra to the south, Gujarat to the west, and Rajasthan to the northwest. The area covered by the present-day Madhya Pradesh includes the area of the ancient Avanti Mahajanapada, whose capital Ujjain (also known as Avantika) arose as a major city during the second wave of Indian urbanisation in the sixth century BCE. Subsequently, the region was ruled by the major dynasties of India. The Maratha Empire dominated the majority of the 18th century. After the Anglo-Maratha Wars in the 19th century, the region was divided into several princel ...
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Brahmin
Brahmin (; sa, ब्राह्मण, brāhmaṇa) is a varna as well as a caste within Hindu society. The Brahmins are designated as the priestly class as they serve as priests (purohit, pandit, or pujari) and religious teachers (guru or acharya). The other three varnas are the Kshatriya, Vaishya and Shudra. The traditional occupation of Brahmins is that of priesthood at the Hindu temples or at socio-religious ceremonies, and rite of passage rituals such as solemnising a wedding with hymns and prayers.James Lochtefeld (2002), Brahmin, The Illustrated Encyclopedia of Hinduism, Vol. 1: A–M, Rosen Publishing, , page 125 Traditionally, the Brahmins are accorded the highest ritual status of the four social classes. Their livelihood is prescribed to be one of strict austerity and voluntary poverty ("A Brahmin should acquire what just suffices for the time, what he earns he should spend all that the same day"). In practice, Indian texts suggest that some Brahmins historicall ...
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Chitpavan
The Chitpavan Brahmin or Konkanastha Brahmin is a Hindu Maharashtrian Brahmin community inhabiting Konkan, the coastal region of the state of Maharashtra. Initially working as messengers and spies in the late seventeenth century, the community came into prominence during the 18th century when the heirs of Peshwa from the Bhat family of Balaji Vishwanath became the de facto rulers of the Maratha empire. Until the 18th century, the Chitpavans were held in low esteem by the Deshastha, the older established Brahmin community of Maharashtra region. As per Jayant Lele, the influence of the Chitpavans in the Peshwa era as well as the British era has been greatly exaggerated because even during the time of the most prominent Peshwas, their political legitimacy and their intentions were not trusted by all levels of the administration, not even by Shivaji's successors. He adds that after the defeat of Peshwas in the Anglo-Mahratta wars, Chitpavans were the one of the Hindu communities ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ...
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Computation
Computation is any type of arithmetic or non-arithmetic calculation that follows a well-defined model (e.g., an algorithm). Mechanical or electronic devices (or, historically, people) that perform computations are known as ''computers''. An especially well-known discipline of the study of computation is computer science. Physical process of Computation Computation can be seen as a purely physical process occurring inside a closed physical system called a computer. Examples of such physical systems are digital computers, mechanical computers, quantum computers, DNA computers, molecular computers, microfluidics-based computers, analog computers, and wetware computers. This point of view has been adopted by the physics of computation, a branch of theoretical physics, as well as the field of natural computing. An even more radical point of view, pancomputationalism (inaudible word), is the postulate of digital physics that argues that the evolution of the universe is itself ...
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Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ...
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Distinguished Professor
Distinguished Professor is an academic title given to some top tenured professors in a university, school, or department. Some distinguished professors may have endowed chairs. In the United States Often specific to one institution, titles such as "president's professor", "university professor", "distinguished professor", "distinguished research professor", "distinguished teaching professor", "distinguished university professor", or "regents professor" are granted to a small percentage of the top tenured faculty who are regarded as particularly important in their respective fields of research. Some institutions grant more university-specific, formal titles such as M.I.T.'s "Institute Professor", Yale University's " Sterling Professor", or Duke University's "James B. Duke Professor". Some academic and/or scholarly organizations may also bestow the title "distinguished professor" in recognition of achievement over the course of an academic career. For example, the Association of C ...
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