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Gopal Prasad
Gopal Prasad (born 31 July 1945 in Ghazipur, India) is an Indian-American mathematician. His research interests span the fields of Lie groups, their discrete subgroups, algebraic groups, arithmetic groups, geometry of locally symmetric spaces, and representation theory of reductive p-adic groups. He is the Raoul Bott Professor of Mathematics at the University of Michigan in Ann Arbor. Education Prasad earned his bachelor's degree with honors in Mathematics from Magadh University in 1963. Two years later, in 1965, he received his master's degree in Mathematics from Patna University. After a brief stay at the Indian Institute of Technology Kanpur in their Ph.D. program for Mathematics, Prasad entered the Ph.D. program at the Tata Institute of Fundamental Research (TIFR) in 1966. There he began a long and extensive collaboration with his advisor M. S. Raghunathan on several topics including the study of lattices in semi-simple Lie groups and the congruence subgroup problem. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ghazipur
Ghazipur is a city in the state of Uttar Pradesh, India. Ghazipur city is the administrative headquarters of the Ghazipur district, one of the four districts that form the Varanasi division of Uttar Pradesh. The city of Ghazipur also constitutes one of the seven distinct tehsils, or subdivisions, of the Ghazipur district. Ghazipur is well known for its opium factory, established by the British East India Company in 1820 and still the biggest legal opium factory in the world, producing the drug for the global pharmaceutical industry. Ghazipur lies close to the Uttar Pradesh- Bihar border, about east of Varanasi. History As per the verbal and folk history. Ghazipur was covered with dense forest during the Vedic era and it was a place for ashrams of saints during that period. The place is related to the Ramayana period. Maharshi Jamadagni, the father of Maharshi Parashurama, is said to have resided here. The famous Gautama Maharishi and Chyavana were given teaching and s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discrete Subgroup
In mathematics, a topological group ''G'' is called a discrete group if there is no limit point in it (i.e., for each element in ''G'', there is a neighborhood which only contains that element). Equivalently, the group ''G'' is discrete if and only if its identity is isolated. A subgroup ''H'' of a topological group ''G'' is a discrete subgroup if ''H'' is discrete when endowed with the subspace topology from ''G''. In other words there is a neighbourhood of the identity in ''G'' containing no other element of ''H''. For example, the integers, Z, form a discrete subgroup of the reals, R (with the standard metric topology), but the rational numbers, Q, do not. Any group can be endowed with the discrete topology, making it a discrete topological group. Since every map from a discrete space is continuous, the topological homomorphisms between discrete groups are exactly the group homomorphisms between the underlying groups. Hence, there is an isomorphism between the category of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shrawan Kumar (mathematician)
Shrawan Kumar is the John R. and Louise S. Parker distinguished professor of mathematics at the University of North Carolina at Chapel Hill. He has written two books: ''Kac-Moody groups, their flag varieties, and representation theory'' and ''Frobenius splitting methods in geometry and representation theory'' (jointly with ). Born and raised in Ghazipur, India, Shrawan Kumar earned a Ph.D. in mathematics from the University of Mumbai and the Tata Institute of Fundamental Research (TIFR), Mumbai in 1986. His advisor was S. Ramanan. Shrawan Kumar is the younger brother of Gopal Prasad, a professor of mathematics at the University of Michigan, and the elder brother of Dipendra Prasad, a professor of mathematics at the Tata Institute of Fundamental Research. In 2012 he became a fellow of the American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ila Fiete
Ila Fiete is an Indian-American physicist and computational neuroscientist as well as a Professor in the Department of Brain and Cognitive Sciences within the McGovern Institute for Brain Research at the Massachusetts Institute of Technology. Fiete builds theoretical models and analyses neural data and to uncover how neural circuits perform computations and how the brain represents and manipulates information involved in memory and reasoning. Early life and education Fiete was born in Mumbai, India. Her parents, Gopal Prasad and Indu Devi, moved to Michigan in 1992. She pursued her undergraduate studies at the University of Michigan, majoring in mathematics and physics. Fiete then moved to Boston to pursue her master's degree and graduate studies at Harvard University in the Department of Physics. Fiete was mentored in computational neuroscience by Sebastian Seung at MIT and in physics by Daniel Fisher at Harvard. In her graduate degree, Fiete explored the principles of lear ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Deoria, Uttar Pradesh
Deoria is a city in the state of Uttar Pradesh, India. It is one of five tehsils of the Deoria district. Deoria is located 45 km east of Gorakhpur, Uttar Pradesh, Gorakhpur and about 317 km from the state capital Lucknow. It shares its east border with Bihar. Demographics As of 2011 Indian Census, Deoria had a total population of 129,479, of which 67,462 were males and 62,017 were females. Population within the age group of 0 to 6 years was 14,779. The total number of literates in Deoria was 99,562, which constituted 76.9% of the population with male literacy of 81.1% and female literacy of 72.3%. The effective literacy rate of 7+ population of Deoria was 86.8%, of which male literacy rate was 91.6% and female literacy rate was 81.6%. The Scheduled Castes and Scheduled Tribes population was 8,177 and 2,228 respectively. Deoria had 20076 households in 2011. According to the 2001 census Deoria had 104,222 inhabitants (54,737 men, 49,485 women). Religion As of 2011, Hin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Mumbai
The University of Mumbai is a collegiate, state-owned, 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 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 privileges to the university. The first degrees awarded in 1862 were Bachelor of Arts and Licentiate in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tata Institute Of Fundamental Research
Tata Institute of Fundamental Research (TIFR) is a public deemed research university located in Mumbai, India that is dedicated to basic research in mathematics and the sciences. It is a Deemed University and works under the umbrella of the Department of Atomic Energy of the Government of India. It is located at Navy Nagar, Colaba, Mumbai, with a campus in Bangalore, International Centre for Theoretical Sciences (ICTS), and an affiliated campus in Serilingampally near Hyderabad. TIFR conducts research primarily in the natural sciences, mathematics, the biological sciences and theoretical computer science. History In 1944, Homi J. Bhabha, known for his role in the development of the Indian atomic energy programme, wrote to the Sir Dorabji Tata Trust requesting financial assistance to set up a scientific research institute. With support from J.R.D. Tata, then chairman of the Tata Group, TIFR was founded on 1 June 1945, and Homi Bhabha was appointed its first director. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian Institute Of Technology Kanpur
The Indian Institute of Technology Kanpur (IIT Kanpur) Hindi: भारतीय प्रौद्योगिकी संस्थान कानपुर) is a public institute of technology located in Kanpur, Uttar Pradesh, India. It was declared to be an Institute of National Importance by the Government of India under the Institutes of Technology Act. The institution was established in 1959. As one of the first Indian Institutes of Technology, the institute was created with the assistance of a consortium of nine US research universities as part of the Kanpur Indo-American Programme (KIAP). History IIT Kanpur was established by an Act of Parliament in 1960 by the Government of India. The institute was started in December 1959 in a room in the canteen building of the Harcourt Butler Technological Institute at Agricultural Gardens in Kanpur. In 1963, the institute moved to its present location, on the Grand Trunk Road near Kalyanpur locality in Kanpur district. The cam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magadh University
Magadh University is a public state university and institution of higher education in Bodhgaya, Bihar, India. It is recognised by the University Grants Commission (UGC). The university is governed by the Bihar State University Act 1976. It provides facilities for higher learning and research in the faculties of science, social sciences, humanities and commerce. With 19 constituent colleges, 22 PG departments and 39 affiliated colleges, Magadh University is the largest university in Bihar. After years of discussion and thought, Magadh University was finally split in 2018 and another university i.e. Pataliputra University came into being which covered under its jurisdiction all colleges located within the geographic area of Patna and Nalanda district that were earlier under Magadh University. Due to division of the university and other associated issues examination of the university were delayed. For this, MULEA CAMPAIGN was launched. History Magadh University was establis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ann Arbor, Michigan
Ann Arbor is a city in the U.S. state of Michigan and the county seat of Washtenaw County. The 2020 census recorded its population to be 123,851. It is the principal city of the Ann Arbor Metropolitan Statistical Area, which encompasses all of Washtenaw County. Ann Arbor is also included in the Greater Detroit Combined Statistical Area and the Great Lakes megalopolis, the most populated and largest megalopolis in North America. Ann Arbor is home to the University of Michigan. The university significantly shapes Ann Arbor's economy as it employs about 30,000 workers, including about 12,000 in the medical center. The city's economy is also centered on high technology, with several companies drawn to the area by the university's research and development infrastructure. Ann Arbor was founded in 1824, named after the wives of the village's founders, both named Ann, and the stands of bur oak trees.Marwil, pp. 1–2 The city's population grew at a rapid rate in the early to t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Raoul Bott
Raoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous basic contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem. Early life Bott was born in Budapest, Hungary, the son of Margit Kovács and Rudolph Bott. His father was of Austrian descent, and his mother was of Hungarian Jewish descent; Bott was raised a Catholic by his mother and stepfather. Bott grew up in Czechoslovakia and spent his working life in the United States. His family emigrated to Canada in 1938, and subsequently he served in the Canadian Army in Europe during World War II. Career Bott later went to college at McGill University in Montreal, where he studied electrical engineering. He then earned a PhD in mathematics from Carnegie Mellon University in Pittsburgh in 1949. His thesis, titled ''Electrical Network Theory'', w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
P-adic Lie Group
In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional properties it must have to be thought of as a "transformation" in the abstract sense, for instance multiplication and the taking of inverses (division), or equivalently, the concept of addition and the taking of inverses (subtraction). Combining these two ideas, one obtains a continuous group where multiplying points and their inverses are continuous. If the multiplication and taking of inverses are smooth (differentiable) as well, one obtains a Lie group. Lie groups provide a natural model for the concept of continuous symmetry, a celebrated example of which is the rotational symmetry in three dimensions (given by the special orthogonal group \text(3)). Lie groups are widely used in many parts of modern mathematics and physics. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
