Allen Knutson | |
|---|---|
 | |
| Born | Allen Ivar Knutson |
| Academic background | |
| Education | California Institute of Technology (BS) Massachusetts Institute of Technology (PhD) |
| Academic work | |
| Discipline | Mathematics |
| Institutions | |
Allen Ivar Knutson is an American mathematician who is a professor of mathematics at Cornell University. [1]
Knutson completed his undergraduate studies at the California Institute of Technology [2] and received a Ph.D. from the Massachusetts Institute of Technology in 1996 under the joint advisorship of Victor Guillemin and Lisa Jeffrey. [3]
He was on the faculty at the University of California,Berkeley before moving to the University of California,San Diego in 2005 and then to Cornell University in 2009. [4] In 2005,he and Terence Tao won the Levi L. Conant Prize of the American Mathematical Society for their paper "Honeycombs and Sums of Hermitian Matrices". [5] He was an invited speaker at the 2022 International Congress of Mathematicians. [6]
Knutson is also known for his studies of the mathematics of juggling. [7] For five years beginning in 1990,he and fellow Caltech student David Morton held a world record for passing 12 balls. [2]
William Paul Thurston 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.
Ronald Lewis Graham was an American mathematician credited by the American Mathematical Society as "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years". He was president of both the American Mathematical Society and the Mathematical Association of America,and his honors included the Leroy P. Steele Prize for lifetime achievement and election to the National Academy of Sciences.
The Hampshire College Summer Studies in Mathematics (HCSSiM) is an American residential program for mathematically talented high school students. The program has been conducted each summer since 1971,with the exceptions of 1981 and 1996,and has more than 1500 alumni. Due to the Coronavirus pandemic,the 2020 Summer Studies ran online for a shortened program of four weeks.
Siteswap,also called quantum juggling or the Cambridge notation,is a numeric juggling notation used to describe or represent juggling patterns. The term may also be used to describe siteswap patterns,possible patterns transcribed using siteswap. Throws are represented by non-negative integers that specify the number of beats in the future when the object is thrown again:"The idea behind siteswap is to keep track of the order that balls are thrown and caught,and only that." It is an invaluable tool in determining which combinations of throws yield valid juggling patterns for a given number of objects,and has led to previously unknown patterns. However,it does not describe body movements such as behind-the-back and under-the-leg. Siteswap assumes that "throws happen on beats that are equally spaced in time."
Nima Arkani-Hamed is an American-Canadian theoretical physicist of Iranian descent,with interests in high-energy physics,quantum field theory,string theory,cosmology and collider physics. Arkani-Hamed is a member of the permanent faculty at the Institute for Advanced Study in Princeton,New Jersey. He is also director of the Carl P. Feinberg Cross-Disciplinary Program in Innovation at the Institute and director of The Center for Future High Energy Physics (CFHEP) in Beijing,China.
William Gilbert Strang is an American mathematician known for his contributions to finite element theory,the calculus of variations,wavelet analysis and linear algebra. He has made many contributions to mathematics education,including publishing mathematics textbooks. Strang was the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. He taught Linear Algebra,Computational Science,and Engineering,Learning from Data,and his lectures are freely available through MIT OpenCourseWare.
Michael Ellis Fisher was an English physicist,as well as chemist and mathematician,known for his many seminal contributions to statistical physics,including but not restricted to the theory of phase transitions and critical phenomena. He was the Horace White Professor of Chemistry,Physics,and Mathematics at Cornell University. Later he moved to the University of Maryland College of Computer,Mathematical,and Natural Sciences,where he was University System of Maryland Regents Professor,a Distinguished University Professor and Distinguished Scholar-Teacher.
Gregory Francis Lawler is an American mathematician working in probability theory and best known for his work since 2000 on the Schramm–Loewner evolution.
Karen Vogtmann (born July 13,1949 in Pittsburg,California) is an American mathematician working primarily in the area of geometric group theory. She is known for having introduced,in a 1986 paper with Marc Culler,an object now known as the Culler–Vogtmann Outer space. The Outer space is a free group analog of the Teichmüller space of a Riemann surface and is particularly useful in the study of the group of outer automorphisms of the free group on n generators,Out(Fn). Vogtmann is a professor of mathematics at Cornell University and the University of Warwick.
Sergei Gukov is a professor of mathematics and theoretical physics. Gukov graduated from Moscow Institute of Physics and Technology (MIPT) in Moscow,Russia before obtaining a doctorate in physics from Princeton University under the supervision of Edward Witten.
Sourav Chatterjee is an Indian Bengali mathematician from West Bengal,specializing in mathematical statistics and probability theory. Chatterjee is credited with work on the study of fluctuations in random structures,concentration and super-concentration inequalities,Poisson and other non-normal limits,first-passage percolation,Stein's method and spin glasses. He has received a Sloan Fellowship in mathematics,Tweedie Award,Rollo Davidson Prize,Doeblin Prize,Loève Prize,and Infosys Prize in mathematical sciences. He was an invited speaker at the International Congress of Mathematicians in 2014.
Nancy Jane Kopell is an American mathematician and professor at Boston University. She is co-director of the Center for Computational Neuroscience and Neural Technology (CompNet). She organized and directs the Cognitive Rhythms Collaborative (CRC). Kopell received her B.A. from Cornell University in 1963 and her Ph.D. from Berkeley in 1967. She held visiting positions at the Centre National de la Recherche Scientifique in France (1970),MIT,and the California Institute of Technology (1976).
Irit Dinur is an Israeli computer scientist. She is professor of computer science at the Weizmann Institute of Science. Her research is in foundations of computer science and in combinatorics,and especially in probabilistically checkable proofs and hardness of approximation.
Jianqing Fan is a statistician,financial econometrician,and data scientist. He is currently the Frederick L. Moore '18 Professor of Finance,Professor of Operations Research and Financial Engineering,Professor of Statistics and Machine Learning,and a former Chairman of Department of Operations Research and Financial Engineering (2012–2015) and a former director of Committee of Statistical Studies (2005–2017) at Princeton University,where he directs both statistics lab and financial econometrics lab since 2008.
Hee Oh is a South Korean mathematician who works in dynamical systems. She has made contributions to dynamics and its connections to number theory. She is a student of homogeneous dynamics and has worked extensively on counting and equidistribution for Apollonian circle packings,Sierpinski carpets and Schottky dances. She is currently the Abraham Robinson Professor of Mathematics at Yale University.
Megumi Harada is a mathematician who works as a professor in the department of mathematics and statistics at McMaster University,where she holds a tier-two Canada Research Chair in Equivariant Symplectic and Algebraic Geometry.
Burkard Polster is a German mathematician who runs and presents the Mathologer channel on YouTube. He is a professor of mathematics at Monash University in Melbourne,Australia.
The Princeton University Department of Mathematics is an academic department at Princeton University. Founded in 1760,the department has trained some of the world's most renowned and internationally recognized scholars of mathematics. Notable individuals affiliated with the department include John Nash,former faculty member and winner of the 1994 Nobel Memorial Prize in Economic Sciences;Alan Turing,who received his doctorate from the department;and Albert Einstein who frequently gave lectures at Princeton and had an office in the building. Fields Medalists associated with the department include Manjul Bhargava,Charles Fefferman,Gerd Faltings,Michael Freedman,Elon Lindenstrauss,Andrei Okounkov,Terence Tao,William Thurston,Akshay Venkatesh,and Edward Witten. Many other Princeton mathematicians are noteworthy,including Ralph Fox,Donald C. Spencer,John R. Stallings,Norman Steenrod,John Tate,John Tukey,Arthur Wightman,and Andrew Wiles.
