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Browsing Theses  Dept. of Mathematics by Title

Korogodski, Leonid I
(Massachusetts Institute of Technology, 1996)

Latour, Frédéric
(Massachusetts Institute of Technology, 2004)
In this thesis, we first classify the irreducible representations of the rational Cherednik algebras of rank 1 in characteristic p > 0. There are two cases. One is the "quantum" case, where "Planck's constant" is nonzero ...

Lepowsky, J. (James)
(Massachusetts Institute of Technology, 1970)

Wang, Weiqiang
(Massachusetts Institute of Technology, 1995)

Moroianu, Sergiu, 1973
(Massachusetts Institute of Technology, 1999)

Amundsen, David Embury, 1972
(Massachusetts Institute of Technology, 1999)

Bauer, Tilman, 1973
(Massachusetts Institute of Technology, 2002)
We describe a natural way to associate to any [rho]compact group an element of the [rho]local stable stems, which, applied to the [rho]completion of a compact Lie group G, coincides with the element represented by the ...

Cao, Xiaodong, 1972
(Massachusetts Institute of Technology, 2002)
In this thesis, we proved that for a 3manifold S2 x S1 with warped product metric, the isoperimetric ratio on the base manifold S2 has a low positive bound away from zero, if the scalar curvature on the 3manifold is ...

Zhang, Lizhao, 1973
(Massachusetts Institute of Technology, 2002)
Given a degenerate (n + 1)simplex in a ndimensional Euclidean space Rn, which is embedded in a (n + 1)dimensional Euclidean space Rn+l. We allow all its vertices to have continuous motion in the space, either in Rn+l ...

Másson, Gísli
(Massachusetts Institute of Technology, 1991)

Suk, Tonghoon
(Massachusetts Institute of Technology, 2009)
Let G be a classical group and let g be its Lie algebra. For a nilpotent element X E g, the ring R(Ox) of regular functions on the nilpotent orbit Ox is a Gmodule. In this thesis, we will decompose it into irreducible ...

SchnallLevin, Michael (Michael Benjamin)
(Massachusetts Institute of Technology, 2011)
Modern biology is being remade by a dizzying array of new technologies, a deluge of data, and an increasingly strong reliance on computation to guide and interpret experiments. In two areas of biology, computational methods ...

Boyack, Stephen Wayne
(Massachusetts Institute of Technology, 1985)

Schick, Ä°rvin C. (Ä°rvin Cemil)
(Massachusetts Institute of Technology, 1989)

Vener, David Paul
(Massachusetts Institute of Technology, 2006)
In this thesis, I report the results of a combined experimental and theoretical investigation of a journal bearing, specifically, a cylinder suspended in a viscous fluid housed within a cylindrical shell, rolling down an ...

Mészáros, Karola
(Massachusetts Institute of Technology, 2010)
In this thesis a geometric way to understand the relations of certain noncommutative quadratic algebras defined by Anatol N. Kirillov is developed. These algebras are closely related to the FominKirillov algebra, which ...

Gerhardt, Teena Meredith
(Massachusetts Institute of Technology, 2007)
The main result of this thesis is the computation of ... for ... These RO(S¹)graded TRgroups are the equivariant homotopy groups naturally associated to the S¹spectrum THH(Fp), the topological Hochschild S¹spectrum. ...

Plass, Martha Hathaway
(Massachusetts Institute of Technology, 1939)

Bradley, William F. (William Francis), 1973
(Massachusetts Institute of Technology, 2002)
I analyze packet routing on unidirectional ring networks, with an eye towards establishing bounds on the expected length of the queues. Suppose we route packets by a greedy "hot potato" protocol. If packets are inserted ...

Deshpande, Amit Jayant
(Massachusetts Institute of Technology, 2007)
Can one compute a lowdimensional representation of any given data by looking only at its small sample, chosen cleverly on the fly? Motivated by the above question, we consider the problem of lowrank matrix approximation: ...