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SnapPea
SnapPea is free software designed to help mathematicians, in particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks, who created the first version as part of his doctoral thesis, supervised by William Thurston. It is not to be confused with the unrelated Android malware with the same name. The latest version is 3.0d3. Marc Culler, Nathan Dunfield and collaborators have extended the SnapPea kernel and written Python extension modules which allow the kernel to be used in a Python program or in the interpreter. They also provide a graphical user interface written in Python which runs under most operating systems (see external links below). The following people are credited in SnapPea 2.5.3's list of acknowledgments: Colin Adams, Bill Arveson, Pat Callahan, Joe Christy, Dave Gabai, Charlie Gunn, Martin Hildebrand, Craig Hodgson, Diane Hoffoss, A. C. Manoharan, Al Marden, Dick McGehee, Rob Meyerhoff, Lee Moshe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nathan Dunfield
Nathan Michael Dunfield (born 1975) is an American mathematician, specializing in Topology. Career Dunfield did his undergraduate studies at Oregon State University, obtaining a B.S. in mathematics in 1994. For his graduate studies, he went to the University of Chicago, obtaining his Ph.D. in 1999, with a thesis on ''Cyclic Surgery, Degrees of Maps of Character Curves, and Volume Rigidity for Hyperbolic Manifolds'' written under the supervision of Peter Shalen and Melvin Rothenberg. He then was a Benjamin Peirce Assistant Professor at Harvard University (1999–2003) and an associate professor at the California Institute of Technology (2003–2007), after which he moved to the University of Illinois at Urbana–Champaign, where he was promoted to professor in 2018. Work Dunfield is an expert in group theory, low-dimensional topology, three-manifolds, and computer science, computational aspects of these fields. He is also, with Marc Culler, one of the key developers of the prog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic 3-manifold
In mathematics, more precisely in topology and differential geometry, a hyperbolic 3-manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to −1. It is generally required that this metric be also complete: in this case the manifold can be realised as a quotient of the 3-dimensional hyperbolic space by a discrete group of isometries (a Kleinian group). Hyperbolic 3-manifolds of finite volume have a particular importance in 3-dimensional topology as follows from Thurston's geometrisation conjecture proved by Perelman. The study of Kleinian groups is also an important topic in geometric group theory. Importance in topology Hyperbolic geometry is the most rich and least understood of the eight geometries in dimension 3 (for example, for all other geometries it is not hard to give an explicit enumeration of the finite-volume manifolds with this geometry, while this is far from bein ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jeffrey Weeks (mathematician)
Jeffrey Renwick Weeks (born December 10, 1956) is an American mathematician, a geometric topologist and cosmologist. Weeks is a 1999 MacArthur Fellow. Biography Weeks received his BA from Dartmouth College in 1978, and his PhD in mathematics from Princeton University in 1985, under the supervision of William Thurston. Since then he has taught at Stockton State College, Ithaca College, and Middlebury College, but has spent much of his time as a free-lance mathematician. Research Weeks' research contributions have mainly been in the field of 3-manifolds and physical cosmology. The Weeks manifold, discovered in 1985 by Weeks, is the hyperbolic 3-manifold with the minimum possible volume. Weeks has written various computer programs to assist in mathematical research and mathematical visualization. His SnapPea program is used to study hyperbolic 3-manifolds, while he has also developed interactive software to introduce these ideas to middle-school, high-school, and college st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Thurston
William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds. Thurston was a professor of mathematics at Princeton University, University of California, Davis, and Cornell University. He was also a director of the Mathematical Sciences Research Institute. Early life and education William Thurston was born in Washington, D.C., to Margaret Thurston (), a seamstress, and Paul Thurston, an aeronautical engineer. William Thurston suffered from congenital strabismus as a child, causing issues with depth perception. His mother worked with him as a toddler to reconstruct three-dimensional images from two-dimensional ones. He received his bachelor's degree from New College in 1967 as part of its inaugural class. For his undergraduate thesis, he developed an intuitionist foundation for topology. Following th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carlo Petronio
Carlo is a given name. It is an Italian form of Charles. It can refer to: *Carlo (name) *Monte Carlo *Carlingford, New South Wales, a suburb in north-west Sydney, New South Wales, Australia *A satirical song written by Dafydd Iwan about Prince Charles. *A former member of Dion and the Belmonts best known for his 1964 song, Ring A Ling. * Carlo (submachine gun), an improvised West Bank gun. * Carlo, a fictional character from Animal Crossing: Pocket Camp * It can be confused with Carlos * Carlo means “man” (from Germanic “karal”), “free man” (from Middle Low German “kerle”) and “warrior”, “army” (from Germanic “hari”). See also *Carl (name) *Carle (other) Carle may refer to: *Carle, a surname * Carle (given name) See also *Carl (other) Carl may refer to: * Carl, Georgia, city in USA * Carl, West Virginia, an unincorporated community *Carl (name), includes info about the name, variations o ... * Carlos (given name) {{disambig Ital ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dick McGehee
Dick, Dicks, or Dick's may refer to: Media * ''Dicks'' (album), a 2004 album by Fila Brazillia * Dicks (band), a musical group * ''Dick'' (film), a 1999 American comedy film * "Dick" (song), a 2019 song by Starboi3 featuring Doja Cat * '' Dicks: The Musical'', a 2023 American black comedy film Names * Dick (nickname), an index of people nicknamed Dick * Dick (surname) * Dicks (surname) * Dick, a diminutive for Richard * Dicks, the pen name of Luxembourgish poet Edmond de la Fontaine (1823–1891) * Dicks., botanical author abbreviation for James Dickson (1738–1822) Places * Dicks Butte, a mountain in California * Dick, Michigan, an unincorporated community Other uses * ''Dick'' (slang), a dysphemism for the penis as well as a pejorative epithet * Dick's Drive-In, a Seattle, Washington-based fast food chain * Dick's Sporting Goods, a major sporting goods retailer in the United States * Dick's Sporting Goods Park, a soccer stadium in Denver, Colorado * Detective, in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rob Meyerhoff
Rob or ROB may refer to: Places * Rob, Velike Lašče, a settlement in Slovenia * Republic of Belarus People * Rob (given name), a given name or nickname, e.g., for Robert(o), Robin/Robyn * Rob (surname) * ''Rob.'', taxonomic author abbreviation for William Robinson (gardener) (1838–1935), Irish practical gardener and journalist Arts and entertainment * ''Rob'' (TV series), an American comedy show * ''Rob Riley'' (comic strip), a British comic strip named after its titular character * ''Rob the Robot'' (TV series), a TV series named after its titular character * Rob, a character from the Cartoon Network series ''The Amazing World of Gumball'' * ROB 64, a character in the ''Star Fox'' video game series * '' Castlevania: Rondo of Blood'', a 1993 video game nicknamed ''Castlevania: ROB'' * R.O.B., an accessory for the Nintendo Entertainment System Science and technology * Re-order buffer (ROB), used for out-of-order execution in microprocessors * Robertsonian translocati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lee Mosher
Lee may refer to: Arts and entertainment * ''Lee'' (2007 film), Tamil-language sports action film * ''Lee'' (2017 film), Kannada-language action film * ''Lee'' (2023 film), biographical drama about Lee Miller, American photojournalist * ''Lee'' (novel), by Tito Perdue, about an angry and well-read septuagenarian * "Lee", a 1973 single by The Detroit Emeralds * "Lee", a 2001 song by Tenacious D from their eponymous album Businesses Finance *Thomas H. Lee Partners, an American private equity firm founded in 1974 ** Lee Equity Partners, a breakaway firm founded in 2006 Manufacturers * Lee Tires, a division of Goodyear *Lee Filters, a maker of lighting filters Other businesses * Lee (brand), an American clothing brand * Lee Enterprises, an American media company (NYSE: LEE) * Lee Data, a defunct American computer company Education * Lee College, Bayton, Texas, United States * Lee University, Cleveland, Tennessee, US Meteorology * List of storms named Lee * Lee w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Walter Neumann
Walter David Neumann (1 January 1946 – 24 September 2024) was a British-American mathematician who worked in topology, geometric group theory, and singularity theory. He was a professor at Barnard College, Columbia University. Neumann obtained his Ph.D. under the joint supervision of Friedrich Hirzebruch and Klaus Jänich at the University of Bonn in 1969. He was a son of the mathematicians Bernhard Neumann and Hanna Neumann. His brother Peter M. Neumann was also a mathematician. Walter Neumann was elected a member of the European Academy of Sciences in 2002. He was in the Inaugural Class of Fellows of the American Mathematical Society, starting from 2013. Neumann died on 24 September 2024, at the age of 78. Department of Mathematics, |
Mark Phillips (mathematician)
Mark Anthony Peter Phillips (born 22 September 1948) is an English Olympic gold medal-winning horseman for Great Britain and the first husband of Anne, Princess Royal, with whom he has two children. He remains a leading figure in British equestrian circles, a noted eventing course designer, and a columnist for ''Horse & Hound'' magazine. Family background and early life Mark Anthony Peter Phillips was born on 22 September 1948. He is the son of Major Peter William Garside Phillips, MC (1920–1998) and Anne Patricia Phillips (''née'' Tiarks; 1925–1988); they married in 1946. Major Peter Phillips was the younger son of Joseph Herbert Phillips and grandson of William Garside Phillips. Anne Phillips was educated at Downe House and served in the Women's Royal Naval Service during the Second World War. She was the only daughter of John Gerhard Edward Tiarks (1896–1962), who served in the First and Second World Wars, attained the rank of Brigadier, and Evelyn Florence Cripps ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alan Reid (mathematician)
Alan William Reid (born June 14, 1962) is a Scottish-American mathematician working primarily with arithmetic hyperbolic 3-manifolds. He is the Edgar Odell Lovett Chair of mathematics at Rice University, 2017—present. Biography Reid grew up in Buckie, Scotland. He obtained his doctorate from the University of Aberdeen, supervised by Colin Maclachlan, on the topic of ''Arithmetic Kleinian Groups and their Fuchsian Subgroups''. He was a Royal Society University Research Fellow at Cambridge 1992-96. He was awarded the Sloan Research Fellowship in 1997, and became one of the (inaugural) Fellows of the American Mathematical Society in 2013. Research Alan Reid's research primarily focusses on low-dimensional topology, hyperbolic manifolds and profinite groups. He proved that the figure-eight knot is the only knot whose complement is an arithmetic hyperbolic 3-manifold. With Martin Bridson, Ben McReynolds and Ryan Spitler, he found the first examples of non-elementary Klein ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
