Michael Freedman (other)
   HOME

TheInfoList



OR:

Michael Hartley Freedman (born April 21, 1951) is an American mathematician at
Microsoft Station Q Microsoft Research (MSR) is the research subsidiary of Microsoft. It was created in 1991 by Richard Rashid, Bill Gates and Nathan Myhrvold with the intent to advance state-of-the-art computing and solve difficult world problems through technologi ...
, a research group at the University of California, Santa Barbara. In 1986, he was awarded a
Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award ho ...
for his work on the 4-dimensional
generalized Poincaré conjecture In the mathematical area of topology, the generalized Poincaré conjecture is a statement that a manifold which is a homotopy sphere a sphere. More precisely, one fixes a category of manifolds: topological (Top), piecewise linear (PL), or differe ...
. Freedman and Robion Kirby showed that an exotic R4 manifold exists.


Life and career

Freedman was born in Los Angeles, California, in the United States. His father, Benedict Freedman, was an American Jewish aeronautical engineer, musician, writer, and mathematician. His mother, Nancy Mars Freedman, performed as an actress and also trained as an artist. His parents cowrote a series of novels together.. He entered the University of California, Berkeley, but dropped out after two semesters. In the same year he wrote a letter to Ralph Fox, a Princeton University professor at the time, and was admitted to the university's graduate school, where in 1968 he continued his studies and received a Ph.D. in 1973 for his doctoral dissertation titled ''Codimension-Two Surgery'', written under the supervision of William Browder. After graduating, Freedman returned to Berkeley, where he was a lecturer in the department of mathematics until 1975. He left Berkeley to become a member of the Institute for Advanced Study (IAS) in Princeton. In 1976 he was appointed assistant professor in the department of mathematics at the University of California, San Diego. He spent the year 1980/81 at IAS, then returned to UCSD, where in 1982 he was promoted to professor. He was appointed the Charles Lee Powell chair of mathematics at UCSD in 1985. Freedman has received numerous awards and honors including Sloan and
Guggenheim Fellowship Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...
s, a MacArthur Fellowship, and the National Medal of Science. He is an elected member of the
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nati ...
, and a fellow of the American Academy of Arts and Sciences and of the American Mathematical Society. In addition to winning a
Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award ho ...
at the
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 rename ...
(ICM) in 1986 in Berkeley, he was an Invited Speaker at the ICM in 1983 in Warsaw and at the ICM in 1998 in Berlin. He currently works at
Microsoft Station Q Microsoft Research (MSR) is the research subsidiary of Microsoft. It was created in 1991 by Richard Rashid, Bill Gates and Nathan Myhrvold with the intent to advance state-of-the-art computing and solve difficult world problems through technologi ...
at the University of California, Santa Barbara, where his team is involved in the development of the topological quantum computer.


Publications

* * Michael H. Freedman and Frank Quinn, ''Topology of 4-manifolds'', Princeton Mathematical Series, vol 39, Princeton University Press, Princeton, New Jersey, 1990. * * Freedman, Michael H.: Z2-systolic-freedom. Proceedings of the Kirbyfest (Berkeley, California, 1998), 113–123, Geom. Topol. Monogr., 2, Geom. Topol. Publ., Coventry, 1999. * Freedman, Michael H.; Meyer, David A.; Luo, Feng: Z2-
systolic freedom In differential geometry, systolic freedom refers to the fact that closed Riemannian manifolds may have arbitrarily small volume regardless of their systolic invariants. That is, systolic invariants or products of systolic invariants do not in gener ...
and
quantum code Quantum error correction (QEC) is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum error correction is theorised as essential to achieve fault tolerant quantum computing that ...
s. Mathematics of quantum computation, 287–320, Comput. Math. Ser., Chapman & Hall/CRC, Boca Raton, Florida, 2002.


See also

*
4-manifold In mathematics, a 4-manifold is a 4-dimensional topological manifold. A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different. T ...
* 5-manifold * Casson handle * Exotic R4 * Fake 4-ball *
Intersection form of a 4-manifold In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd (co)homology group of the 4-manifold. It reflects much of the topology of the 4-manifolds, including information on the existen ...
*
Möbius energy In mathematics, the Möbius energy of a knot (mathematics), knot is a particular knot energy, i.e., a Functional (mathematics), functional on the space of knots. It was discovered by Jun O'Hara, who demonstrated that the energy blows up as the kno ...


References


External links


Michael H. Freedman, Microsoft Technical Fellow and Director of Station Q
* {{DEFAULTSORT:Freedman, Michael Members of the United States National Academy of Sciences 20th-century American mathematicians 21st-century American mathematicians American people of Romanian-Jewish descent Fields Medalists National Medal of Science laureates MacArthur Fellows Microsoft technical fellows University of California, Santa Barbara faculty Princeton University alumni Institute for Advanced Study visiting scholars 1951 births Living people People from Los Angeles Fellows of the American Mathematical Society Fellows of the American Academy of Arts and Sciences Sloan Research Fellows Mathematicians from California University of California, Berkeley College of Letters and Science faculty