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Albert Marden
Albert Marden (born 18 November 1934) is an American mathematician, specializing in complex analysis and hyperbolic geometry. Education and career Marden received his PhD in 1962 from Harvard University with thesis advisor Lars Ahlfors. Marden has been a professor at the University of Minnesota since the 1970s, where he is now professor emeritus. He was a member of the Institute for Advanced Study (IAS) in the academic year 1969–70, Fall 1978, and Fall 1987. His research deals with Riemann surfaces, quadratic differentials, Teichmüller spaces, hyperbolic geometry of surfaces and 3-manifolds, Fuchsian groups, Kleinian groups, complex dynamics, and low-dimensional geometric analysis. Concerning properties of hyperbolic 3-manifolds, Marden formulated in 1974 the tameness conjecture, which was proved in 2004 by Ian Agol and independently by a collaborative effort of Danny Calegari and David Gabai. In 1962, he gave a talk (as an approved speaker but not an invited speaker) on ''A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Milwaukee
Milwaukee ( ), officially the City of Milwaukee, is both the most populous and most densely populated city in the U.S. state of Wisconsin and the county seat of Milwaukee County. With a population of 577,222 at the 2020 census, Milwaukee is the 31st largest city in the United States, the fifth-largest city in the Midwestern United States, and the second largest city on Lake Michigan's shore behind Chicago. It is the main cultural and economic center of the Milwaukee metropolitan area, the fourth-most densely populated metropolitan area in the Midwest. Milwaukee is considered a global city, categorized as "Gamma minus" by the Globalization and World Cities Research Network, with a regional GDP of over $102 billion in 2020. Today, Milwaukee is one of the most ethnically and culturally diverse cities in the U.S. However, it continues to be one of the most racially segregated, largely as a result of early-20th-century redlining. Its history was heavily influenced ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tameness Theorem
In mathematics, the tameness theorem states that every complete hyperbolic 3-manifold with finitely generated fundamental group is topologically tame, in other words homeomorphic to the interior of a compact 3-manifold. The tameness theorem was conjectured by . It was proved by and, independently, by Danny Calegari and David Gabai. It is one of the fundamental properties of geometrically infinite hyperbolic 3-manifolds, together with the density theorem for Kleinian groups and the ending lamination theorem. It also implies the Ahlfors measure conjecture. History Topological tameness may be viewed as a property of the ends of the manifold, namely, having a local product structure. An analogous statement is well known in two dimensions, that is, for surfaces. However, as the example of Alexander horned sphere shows, there are wild embeddings among 3-manifolds, so this property is not automatic. The conjecture was raised in the form of a question by Albert Marden, who proved ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vladimir Markovic
Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D. MacArthur Professor at the California Institute of Technology (2013–2020) and Sadleirian Professor of Pure Mathematics at the University of Cambridge (2013–2014). Education Marković was educated at the University of Belgrade where he was awarded a Bachelor of Science degree in 1995 and a PhD in 1998. Career and research Previously, Marković has held positions at the University of Warwick, Stony Brook University and the University of Minnesota. Marković is editor of ''Proceedings of the London Mathematical Society''. Marković's research interests are in low-dimensional geometry, topology and dynamics and functional and geometric analysis. Awards and honours Marković was elected a Fellow of the Royal Society (FRS) in 2014. His nomination reads: Marković was also awarded the Clay Research Award in 2012, Whitehead Prize and Philip Leverhulme Prize in 2004. In F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Kapovich
Michael Kapovich (also ''Misha Kapovich'', Михаил Эрикович Капович, transcription Mikhail Erikovich Kapovich, born 1963) is a Russian-American mathematician. Kapovich was awarded a doctorate in 1988 at the Sobolev Institute of Mathematics in Novosibirsk with thesis advisor Samuel Leibovich Krushkal and thesis "Плоские конформные структуры на 3-многообразиях" (Flat conformal structures on 3-manifolds, Russian lang. thesis). Kapovich is now a professor at University of California, Davis, where he has been since 2003. His research deals with low-dimensional geometry and topology, Kleinian groups, hyperbolic geometry, geometric group theory, geometric representation theory in Lie groups, , and Configuration space (mathematics), configuration spaces of arrangements and mechanical linkages. in 2006 in Madrid he was an Invited Speaker at the International Congress of Mathematicians with talk ''Generalized triangle inequalitie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burton Rodin
Burton Rodin is an American mathematician known for his research in conformal mappings and Riemann surfaces. He is a professor emeritus at the University of California, San Diego. Education Rodin received a Ph.D. at the University of California, Los Angeles in 1961. His thesis, titled ''Reproducing Formulas on Riemann Surfaces'', was written under the supervision of Leo Sario. Career He was a professor at the University of California, San Diego from 1970 to 1994. He was chair of the Mathematics Department from 1977 to 1981, and became professor emeritus in June 1994. Research Rodin's 1968 work on extremal length of Riemann surfaces, together with an observation of Mikhail Katz, yielded the first systolic geometry inequality for surfaces independent of their genus. In 1980, Rodin and Stefan E. Warschawski solved the Visser–Ostrowski problem for derivatives of conformal mappings at the boundary. In 1987 he proved the circle packing theorem#History, Thurston conjecture for circl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Troels Jørgensen
Troels Jørgensen is a Danish mathematician at Columbia University working on hyperbolic geometry and complex analysis, who proved Jørgensen's inequality. He wrote his thesis in 1970 at the University of Copenhagen under the joint supervision of Werner Fenchel and Bent Fuglede. Work He is known for Jørgensen's inequality, and for his discovery of a hyperbolic structure on certain fibered 3-manifolds which were one of the inspirations for William Thurston's Geometrisation Conjecture In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it. It is an analogue of the uniformization theorem for two-dimensi .... He is also credited with being one of the co-discoverers of the ordered structure of the set of volumes of hyperbolic 3-manifolds. References External resources* {{DEFAULTSORT:Jorgensen, Troels Danish mathematicians Living people Year of bi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David B
David Robert Jones (8 January 194710 January 2016), known professionally as David Bowie ( ), was an English singer-songwriter and actor. A leading figure in the music industry, he is regarded as one of the most influential musicians of the 20th century. Bowie was acclaimed by critics and musicians, particularly for his innovative work during the 1970s. His career was marked by reinvention and visual presentation, and his music and stagecraft had a significant impact on popular music. Bowie developed an interest in music from an early age. He studied art, music and design before embarking on a professional career as a musician in 1963. "Space Oddity", released in 1969, was his first top-five entry on the UK Singles Chart. After a period of experimentation, he re-emerged in 1972 during the glam rock era with his flamboyant and androgynous alter ego Ziggy Stardust (character), Ziggy Stardust. The character was spearheaded by the success of Bowie's single "Starman (song), Starma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Howard Masur
Howard Alan Masur is an American mathematician who works on topology, geometry and combinatorial group theory. Biography Masur was an invited speaker at the 1994 International Congress of Mathematicians in Zürich. and is a fellow of the American Mathematical Society. Along with Yair Minsky, Masur is one of the pioneers of the study of curve complex geometry. He also contributed to the understanding of the convergence of geodesic rays in Teichmüller theory. Masur was a Ph.D. student of Albert Marden at the University of Minnesota-Minneapolis. Awards and recognitions The Hubbard–Masur theorem is named after Masur and John H. Hubbard. In 2009, a conference of mathematicians honored Masur's 60th birthday in France France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of overseas regions and territories in the Americas and the Atlantic, Pacific and Indian Oceans. Its metropolitan area .... Se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stockholm
Stockholm () is the Capital city, capital and List of urban areas in Sweden by population, largest city of Sweden as well as the List of urban areas in the Nordic countries, largest urban area in Scandinavia. Approximately 980,000 people live in the Stockholm Municipality, municipality, with 1.6 million in the Stockholm urban area, urban area, and 2.4 million in the Metropolitan Stockholm, metropolitan area. The city stretches across fourteen islands where Mälaren, Lake Mälaren flows into the Baltic Sea. Outside the city to the east, and along the coast, is the island chain of the Stockholm archipelago. The area has been settled since the Stone Age, in the 6th millennium BC, and was founded as a city in 1252 by Swedish statesman Birger Jarl. It is also the county seat of Stockholm County. For several hundred years, Stockholm was the capital of Finland as well (), which then was a part of Sweden. The population of the municipality of Stockholm is expected to reach o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Gabai
David Gabai is an American mathematician and the Hughes-Rogers Professor of Mathematics at Princeton University. Focused on low-dimensional topology and hyperbolic geometry, he is a leading researcher in those subjects. Biography David Gabai received his B.S. in mathematics from MIT in 1976 and his Ph.D. in mathematics from Princeton University in 1980. Gabai completed his doctoral dissertation, titled "Foliations and genera of links", under the supervision of William Thurston. After positions at Harvard and University of Pennsylvania, Gabai spent most of the period of 1986–2001 at Caltech, and has been at Princeton since 2001. Gabai was the Chair of the Department of Mathematics at Princeton University from 2012 to 2019. Honours and awards In 2004, David Gabai was awarded the Oswald Veblen Prize in Geometry, given every three years by the American Mathematical Society. He was an invited speaker in the International Congress of Mathematicians 2010, Hyderabad on the top ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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