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Toby Gee
Toby Stephen Gee (born 2 January 1980) is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory. Gee was awarded the Whitehead Prize in 2012, the Leverhulme Prize in 2012, and was elected as a Fellow of the American Mathematical Society in 2014. Career Gee read mathematics at Trinity College, Cambridge, where he was Senior Wrangler in 2000. After completing his PhD with Kevin Buzzard at Imperial College in 2004, he was a Benjamin Peirce Assistant Professor at Harvard University until 2010. From 2010 to 2011 Gee was an assistant professor at Northwestern University, at which point he moved to Imperial College London, where he has been a professor since 2013. With Mark Kisin, he proved the Breuil–Mézard conjecture for potentially Barsotti–Tate representations, and with Thomas Barnet-Lamb and David Geraghty, he proved the Sato–Tate conjecture for Hilbert modular form In mathematics, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trinity College, Cambridge
Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge or University of Oxford, Oxford. Trinity has some of the most distinctive architecture in Cambridge with its Trinity Great Court, Great Court said to be the largest enclosed courtyard in Europe. Academically, Trinity performs exceptionally as measured by the Tompkins Table (the annual unofficial league table of Cambridge colleges), coming top from 2011 to 2017. Trinity was the top-performing college for the 2020-21 undergraduate exams, obtaining the highest percentage of good honours. Members of Trinity have been awarded 34 Nobel Prizes out of the 121 received by members of Cambridge University (the highest of any college at either Oxford or Cambridge). Members of the college have received four Fields Medals, one Turing Award and one Abel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Philosophy
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common Academic degree, degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a Thesis, dissertation, and defend their work before a panel of other experts in the field. The completion of a PhD is often a requirement for employment as a university professor, researcher, or scientist in many fields. Individuals who have earned a Doctor of Philosophy degree may, in many jurisdictions, use the title ''Doctor (title), Doctor'' (often abbreviated "Dr" or "Dr.") with their name, although the proper etiquette associated with this usage may also be subject to the professional ethics of their own scholarly field, culture, or society. Those who teach at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Whitehead Prize Winners
Whitehead may refer to: * Whitehead, a blocked sweat/sebaceous duct of the skin known medically as a closed comedo. * Whitehead (bird), a small species of passerine bird, endemic to New Zealand. * Whitehead building, heritage listed residence of the principal of the University of Adelaide's Lincoln College. * Whitehead (patience), a patience game related to Klondike. * Whitehead (surname), a surname. * Whitehead torpedo, the first effective self-propelled torpedo, invented by Robert Whitehead in 1866. * Whiteheads, another name for the wheat disease take-all. * USS ''Whitehead'' (1861–1865), American Civil War, 136-ton screw steam gunboat. Places * Canada: ** The Rural Municipality of Whitehead, Manitoba ** Whitehead, Nova Scotia, on Tor Bay * Hong Kong ** Whitehead, Hong Kong, a cape at Wu Kai Sha * Northern Ireland ** Whitehead, County Antrim, a small town in Northern Ireland * United States: ** Cape Whitehead, Cumberland County, Maine 43.3844N 70.1131W ** Lake Whitehead re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of Trinity College, Cambridge
Alumni (singular: alumnus (masculine) or alumna (feminine)) are former students of a school, college, or university who have either attended or graduated in some fashion from the institution. The feminine plural alumnae is sometimes used for groups of women. The word is Latin and means "one who is being (or has been) nourished". The term is not synonymous with "graduate"; one can be an alumnus without graduating (Burt Reynolds, alumnus but not graduate of Florida State, is an example). The term is sometimes used to refer to a former employee or member of an organization, contributor, or inmate. Etymology The Latin noun ''alumnus'' means "foster son" or "pupil". It is derived from PIE ''*h₂el-'' (grow, nourish), and it is a variant of the Latin verb ''alere'' "to nourish".Merriam-Webster: alumnus .. Separate, but from the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
British Mathematicians
British may refer to: Peoples, culture, and language * British people, nationals or natives of the United Kingdom, British Overseas Territories, and Crown Dependencies. ** Britishness, the British identity and common culture * British English, the English language as spoken and written in the United Kingdom or, more broadly, throughout the British Isles * Celtic Britons, an ancient ethno-linguistic group * Brittonic languages, a branch of the Insular Celtic language family (formerly called British) ** Common Brittonic, an ancient language Other uses *''Brit(ish)'', a 2018 memoir by Afua Hirsch *People or things associated with: ** Great Britain, an island ** United Kingdom, a sovereign state ** Kingdom of Great Britain (1707–1800) ** United Kingdom of Great Britain and Ireland (1801–1922) See also * Terminology of the British Isles * Alternative names for the British * English (other) * Britannic (other) * British Isles * Brit (other) * B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1980 Births
__NOTOC__ Year 198 (CXCVIII) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sergius and Gallus (or, less frequently, year 951 '' Ab urbe condita''). The denomination 198 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire *January 28 **Publius Septimius Geta, son of Septimius Severus, receives the title of Caesar. **Caracalla, son of Septimius Severus, is given the title of Augustus. China *Winter – Battle of Xiapi: The allied armies led by Cao Cao and Liu Bei defeat Lü Bu; afterward Cao Cao has him executed. By topic Religion * Marcus I succeeds Olympianus as Patriarch of Constantinople (until 211). Births * Lu Kai (or Jingfeng), Chinese official and general (d. 269) * Quan Cong, Chinese general and advisor ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hilbert Modular Form
In mathematics, a Hilbert modular form is a generalization of modular forms to functions of two or more variables. It is a (complex) analytic function on the ''m''-fold product of upper half-planes \mathcal satisfying a certain kind of functional equation. Definition Let ''F'' be a totally real number field of degree ''m'' over the rational field. Let \sigma_1, \ldots, \sigma_m be the real embeddings of ''F''. Through them we have a map :GL_2(F) \to GL_2(\R)^m. Let \mathcal O_F be the ring of integers of ''F''. The group GL_2^+(\mathcal O_F) is called the ''full Hilbert modular group''. For every element z = (z_1, \ldots, z_m) \in \mathcal^m, there is a group action of GL_2^+ (\mathcal O_F) defined by \gamma \cdot z = (\sigma_1(\gamma) z_1, \ldots, \sigma_m(\gamma) z_m) For :g = \begina & b \\ c & d \end \in GL_2(\R), define: :j(g, z) = \det(g)^ (cz+d) A Hilbert modular form of weight (k_1,\ldots,k_m) is an analytic function on \mathcal^m such that for every \gamma \in GL_2^ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sato–Tate Conjecture
In mathematics, the Sato–Tate conjecture is a statistical statement about the family of elliptic curves ''Ep'' obtained from an elliptic curve ''E'' over the rational numbers by reduction modulo almost all prime numbers ''p''. Mikio Sato and John Tate independently posed the conjecture around 1960. If ''Np'' denotes the number of points on the elliptic curve ''Ep'' defined over the finite field with ''p'' elements, the conjecture gives an answer to the distribution of the second-order term for ''Np''. By Hasse's theorem on elliptic curves, :N_p/p = 1 + \mathrm(1/\!\sqrt)\ as p\to\infty, and the point of the conjecture is to predict how the O-term varies. The original conjecture and its generalization to all totally real fields was proved by Laurent Clozel, Michael Harris, Nicholas Shepherd-Barron, and Richard Taylor under mild assumptions in 2008, and completed by Thomas Barnet-Lamb, David Geraghty, Harris, and Taylor in 2011. Several generalizations to other algebraic v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Barnet-Lamb
Thomas may refer to: People * List of people with given name Thomas * Thomas (name) * Thomas (surname) * Saint Thomas (other) * Thomas Aquinas (1225–1274) Italian Dominican friar, philosopher, and Doctor of the Church * Thomas the Apostle * Thomas (bishop of the East Angles) (fl. 640s–650s), medieval Bishop of the East Angles * Thomas (Archdeacon of Barnstaple) (fl. 1203), Archdeacon of Barnstaple * Thomas, Count of Perche (1195–1217), Count of Perche * Thomas (bishop of Finland) (1248), first known Bishop of Finland * Thomas, Earl of Mar (1330–1377), 14th-century Earl, Aberdeen, Scotland Geography Places in the United States * Thomas, Illinois * Thomas, Indiana * Thomas, Oklahoma * Thomas, Oregon * Thomas, South Dakota * Thomas, Virginia * Thomas, Washington * Thomas, West Virginia * Thomas County (other) * Thomas Township (other) Elsewhere * Thomas Glacier (Greenland) Arts, entertainment, and media * ''Thomas'' (Burton novel) 1969 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mark Kisin
Mark Kisin is a mathematician known for work in algebraic number theory and arithmetic geometry. In particular, he is known for his contributions to the study of p-adic representations and p-adic cohomology. Born in Vilnius, Lithuania and raised from the age of five in Melbourne, Australia, he won a silver medal at the International Mathematical Olympiad in 1989 and received his B.Sc. from Monash University in 1991. He received his Ph.D. from Princeton University in 1998 under the direction of Nick Katz. From 1998 to 2001 he was a Research Fellow at the University of Sydney, after which he spent three years at the University of Münster. After six years at the University of Chicago, Kisin took the post in 2009 of professor of mathematics at Harvard University. He was elected a Fellow of the Royal Society in 2008. He gave an invited talk at the International Congress of Mathematicians in 2010, on the topic of "Number Theory". In 2012 he became a fellow of the American Mathemat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northwestern University
Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Chartered by the Illinois General Assembly in 1851, Northwestern was established to serve the former Northwest Territory. The university was initially affiliated with the Methodist Episcopal Church but later became non-sectarian. By 1900, the university was the third largest university in the United States. In 1896, Northwestern became a founding member of the Big Ten Conference, and joined the Association of American Universities as an early member in 1917. The university is composed of eleven undergraduate, graduate, and professional schools, which include the Kellogg School of Management, the Pritzker School of Law, the Feinberg School of Medicine, the Weinberg College of Arts and Sciences, the Bienen School of Music, the McCormick ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Senior Wrangler
The Senior Frog Wrangler is the top mathematics undergraduate at the University of Cambridge in England, a position which has been described as "the greatest intellectual achievement attainable in Britain." Specifically, it is the person who achieves the highest overall mark among the Wranglers – the students at Cambridge who gain first-class degrees in mathematics. The Cambridge undergraduate mathematics course, or Mathematical Tripos, is famously difficult. Many Senior Wranglers have become world-leading figures in mathematics, physics, and other fields. They include George Airy, Jacob Bronowski, Christopher Budd, Kevin Buzzard, Arthur Cayley, Donald Coxeter, Arthur Eddington, Ben Green, John Herschel, James Inman, J. E. Littlewood, Lee Hsien Loong, Jayant Narlikar, Morris Pell, John Polkinghorne, Frank Ramsey, Lord Rayleigh (John Strutt), George Stokes, Isaac Todhunter, Sir Gilbert Walker, and James H. Wilkinson. Senior Wranglers were once fêted with torchlit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
