Dennis Barden
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Dennis Barden
Dennis Barden is a mathematician at the University of Cambridge working in the fields of geometry and topology. He is known for his classification of the simply connected compact 5-manifolds and, together with Barry Mazur and John R. Stallings, for having proved the s-cobordism theorem. Barden received his Ph.D. from Cambridge in 1964 under the supervision of C. T. C. Wall. Academic Positions Barden is a Life Fellow of Girton College, Cambridge and emeritus fellow of Pembroke College. In 1991, he became Director of Studies for mathematics at Pembroke College, succeeding Raymond Lickorish. He held the position until Michaelmas 2003, and in his time saw a great increase in the number of applicants for mathematics, with consistently high performances in Tripos At the University of Cambridge, a Tripos (, plural 'Triposes') is any of the examinations that qualify an undergraduate for a bachelor's degree or the courses taken by a student to prepare for these. For example, ...
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Cambridge
Cambridge ( ) is a university city and the county town in Cambridgeshire, England. It is located on the River Cam approximately north of London. As of the 2021 United Kingdom census, the population of Cambridge was 145,700. Cambridge became an important trading centre during the Roman and Viking ages, and there is archaeological evidence of settlement in the area as early as the Bronze Age. The first town charters were granted in the 12th century, although modern city status was not officially conferred until 1951. The city is most famous as the home of the University of Cambridge, which was founded in 1209 and consistently ranks among the best universities in the world. The buildings of the university include King's College Chapel, Cavendish Laboratory, and the Cambridge University Library, one of the largest legal deposit libraries in the world. The city's skyline is dominated by several college buildings, along with the spire of the Our Lady and the English Martyrs ...
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S-cobordism Theorem
In geometric topology and differential topology, an (''n'' + 1)-dimensional cobordism ''W'' between ''n''-dimensional manifolds ''M'' and ''N'' is an ''h''-cobordism (the ''h'' stands for homotopy equivalence) if the inclusion maps : M \hookrightarrow W \quad\mbox\quad N \hookrightarrow W are homotopy equivalences. The ''h''-cobordism theorem gives sufficient conditions for an ''h''-cobordism to be trivial, i.e., to be C-isomorphic to the cylinder ''M'' × , 1 Here C refers to any of the categories of smooth, piecewise linear, or topological manifolds. The theorem was first proved by Stephen Smale for which he received the Fields Medal and is a fundamental result in the theory of high-dimensional manifolds. For a start, it almost immediately proves the generalized Poincaré conjecture. Background Before Smale proved this theorem, mathematicians became stuck while trying to understand manifolds of dimension 3 or 4, and assumed that the higher-dimensional cases ...
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21st-century British 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 ...
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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 ...
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1936 Births
Events January–February * January 20 – George V of the United Kingdom and the British Dominions and Emperor of India, dies at his Sandringham Estate. The Prince of Wales succeeds to the throne of the United Kingdom as King Edward VIII. * January 28 – Britain's King George V state funeral takes place in London and Windsor. He is buried at St George's Chapel, Windsor Castle * February 4 – Radium E (bismuth-210) becomes the first radioactive element to be made synthetically. * February 6 – The 1936 Winter Olympics, IV Olympic Winter Games open in Garmisch-Partenkirchen, Germany. * February 10–February 19, 19 – Second Italo-Ethiopian War: Battle of Amba Aradam – Italian forces gain a decisive tactical victory, effectively neutralizing the army of the Ethiopian Empire. * February 16 – 1936 Spanish general election: The left-wing Popular Front (Spain), Popular Front coalition takes a majority. * February 26 – February 26 Inci ...
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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''. The n ...
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Tutorial System
The tutorial system is a method of university education where the main teaching method is regular, very small group sessions. These are the core teaching sessions of a degree, and are supplemented by lectures, practicals and larger group classes. This system is found at the collegiate universities of Oxford and Cambridge, although other universities use this method to various degrees. Oxbridge The tutorial system was established in the 1800s at the University of Oxford and the University of Cambridge in the United Kingdom. It is still practised today, and consists of undergraduate students being taught by college fellows (or sometimes doctoral students and post-docs) in groups of one to three on a weekly basis. These sessions are called "tutorials" at Oxford and "supervisions" at Cambridge, and are the central method of teaching at those universities. The student is required to undertake preparatory work for each tutorial: for example, reading, essays or working through problems, ...
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Tripos
At the University of Cambridge, a Tripos (, plural 'Triposes') is any of the examinations that qualify an undergraduate for a bachelor's degree or the courses taken by a student to prepare for these. For example, an undergraduate studying mathematics is said to be reading for the ''Mathematical Tripos'', whilst a student of English literature is reading for the ''English Tripos''. In most traditional English universities, a student registers to study one field exclusively, rather than having " majors" or " minors" as in American, Australian, Canadian, or Scottish universities. In practice, however, most degrees may be fairly interdisciplinary in nature, depending on the subject. The multi-part tripos system at Cambridge also allows substantial changes in field between parts; the Natural Sciences Tripos is especially designed to allow a highly flexible curriculum across the sciences. Etymology The word has an obscure etymology, but may be traced to the three-legged stool candid ...
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Pembroke College, Cambridge
Pembroke College (officially "The Master, Fellows and Scholars of the College or Hall of Valence-Mary") is a constituent college of the University of Cambridge, England. The college is the third-oldest college of the university and has over 700 students and fellows. It is one of the university's larger colleges, with buildings from almost every century since its founding, as well as extensive gardens. Its members are termed "Valencians". The college's current master is Chris Smith, Baron Smith of Finsbury. Pembroke has a level of academic performance among the highest of all the Cambridge colleges; in 2013, 2014, 2016, and 2018 Pembroke was placed second in the Tompkins Table. Pembroke contains the first chapel designed by Sir Christopher Wren and is one of only six Cambridge colleges to have educated a British prime minister, in Pembroke's case William Pitt the Younger. The college library, with a Victorian neo-gothic clock tower, has an original copy of the first encyclopaedia ...
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Girton College, Cambridge
Girton College is one of the 31 constituent colleges of the University of Cambridge. The college was established in 1869 by Emily Davies and Barbara Bodichon as the first women's college in Cambridge. In 1948, it was granted full college status by the university, marking the official admittance of women to the university. In 1976, it was the first Cambridge women's college to become coeducational. The main college site, situated on the outskirts of the village of Girton, about northwest of the university town, comprises of land. In a typical Victorian red brick design, most was built by architect Alfred Waterhouse between 1872 and 1887. It provides extensive sports facilities, an indoor swimming pool, an award-winning library and a chapel with two organs. There is an accommodation annexe, known as Swirles Court, situated in the Eddington neighborhood of the North West Cambridge development. Swirles opened in 2017 and provides up to 325 ensuite single rooms for graduates, an ...
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