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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 Mosher, Wal ... [...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 computational aspects of these fields. He is also, with Marc Culler, one of the key developers of the program SnapPy, the mo ... [...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 f ... [...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 student ... [...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 this, he r ... [...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) *Carlos (given name) Carlos is a masculine given name, and is the Portuguese and Spanish variant of the English name ''Charles'', from the Germanic ''Carl''. Notable people with the name include: Royalty *Carlos I of Portugal (1863–1908), second to last King of P ... {{disambig Italian ... [...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 Names * Dick (nickname), an index of people nicknamed Dick * Dick (surname) * Dicks (surname) * Dick, a diminutive for Richard * Dicks (writer) (1823–1891), a pen name of Edmond de la Fontaine of Luxembourg * Dicks., botanical author abbreviation for James Dickson (1738–1822) Places * Dicks Butte, a mountain in California * 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 Other uses * Dick (slang), a dysphemism for the penis as well as a pejorative epithet * Detective, in early 20th century or 19th century English * Democratic Indira Congress (Karunakaran), or DIC(K), a political party ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rob Meyerhoff
Rob or ROB may refer to: Places * Rob, Velike Lašče, a settlement in Slovenia * Roberts International Airport (IATA code ROB), in Monrovia, Liberia 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 Fictional characters * Rob, a character from the Cartoon Network series ''The Amazing World of Gumball'' * ROB 64, a character in the ''Star Fox'' video game series Arts, entertainment, and media Gaming * '' Castlevania: Rondo of Blood'', a 1993 video game nicknamed ''Castlevania: ROB'' * R.O.B., an accessory for the Nintendo Entertainment System Reports * ''ISM Report On Business'' (informally, "The R.O.B."), an economic report issued by the Institute for Supply Management * ''Report on Business'', or "ROB", a section of the ''Globe and Mail'' newspaper Other uses in arts, entertainment, and media ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lee Mosher
Lee may refer to: Name Given name * Lee (given name), a given name in English Surname * Chinese surnames romanized as Li or Lee: ** Li (surname 李) or Lee (Hanzi ), a common Chinese surname ** Li (surname 利) or Lee (Hanzi ), a Chinese surname *Lý (Vietnamese surname) or Lí (李), a common Vietnamese surname * Lee (Korean surname) or Rhee or Yi (Hanja , Hangul or ), a common Korean surname * Lee (English surname), a common English surname * List of people with surname Lee **List of people with surname Li ** List of people with the Korean family name Lee Geography United Kingdom * Lee, Devon * Lee, Hampshire * Lee, London * Lee, Mull, a location in Argyll and Bute * Lee, Northumberland, a location * Lee, Shropshire, a location * Lee-on-the-Solent, Hampshire * Lee District (Metropolis) * The Lee, Buckinghamshire, parish and village name, formally known as Lee * River Lee - alternative name for River Lea United States * Lee, California * Lee, Florida * Lee, Illinoi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Walter Neumann
Walter David Neumann (born 1 January 1946) is a British mathematician who works in topology, geometric group theory, and singularity theory. He is an emeritus 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 is a son of the mathematicians Bernhard Neumann and Hanna Neumann. His brother Peter M. Neumann was also a mathematician. He is in the Inaugural Class of Fellows 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, and serves the national and international community through its publications, meetings, .... References External linksGoogle Scholar Profile [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mark Phillips (mathematician)
Captain 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; 1926–1988); they married in 1946. Anne was educated at Downe House and served in the Women's Royal Naval Service during the Second World War. Her father John Gerhard Edward Tiarks (1896–1962), who served in the First and Second World Wars, attained the rank of Brigadier. John Tiarks was '' aide-de-camp'' to King George VI from 1947 to 1950. Mark had a younger sister, Sarah Anne Staples (''née'' Phillips; 1951–2014). Philli ... [...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. 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 Kleinian groups which are determined by their finite quotients among finitely generated residually finite groups. Notable publications * with Co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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