Browsing Mathematics - Ph.D. / Sc.D. by Title
Research and Teaching Output of the MIT Community
- Home
- →
- Department of Mathematics
- →
- Theses - Mathematics
- →
- Mathematics - Ph.D. / Sc.D.
- →
- Browsing Mathematics - Ph.D. / Sc.D. by Title
JavaScript is disabled for your browser. Some features of this site may not work without it.
Browsing Mathematics - Ph.D. / Sc.D. by Title
-
(Massachusetts Institute of Technology, 2010)In this thesis, we introduce the odd dimensional symplectic manifolds. In the first half we study the Hodge theory on the basic symplectic manifolds. We can define two cohomology theories on them, the standard basic de ...
-
(Massachusetts Institute of Technology, 1972)
-
(Massachusetts Institute of Technology, 2011)In this thesis, we study the properties and the classification of embeddings of homogeneous spaces, especially the case of affine normal embeddings of reductive groups. We might guess that as in the case of toric varieties, ...
-
(Massachusetts Institute of Technology, 1997)
-
(Massachusetts Institute of Technology, 2003)In this thesis, I study pseudo-holomorphic curves in symplectisation of the unit cotangent bundle of a Riemann surface of genus greater than 1. The contact form and compatible almost complex structure are both constructed ...
-
(Massachusetts Institute of Technology, 2009)This thesis has two parts. In Part I, we present the results of a combined experimental and theoretical investigation of the vertical impact of spheres on a water surface. Particular attention is given to characterizing ...
-
(Massachusetts Institute of Technology, 1994)
-
(Massachusetts Institute of Technology, 2005)In an online decision problem, an algorithm performs a sequence of trials, each of which involves selecting one element from a fixed set of alternatives (the "strategy set") whose costs vary over time. After T trials, the ...
-
(Massachusetts Institute of Technology, 1993)
-
(Massachusetts Institute of Technology, 2007)We develop the basic theory of quasi-categories (a.k.a. weak Kan complexes or ([infinity], 1)- categories as in [BV73], [Joy], [Lur06]) from first principles, i.e. without reference to model categories or other ideas from ...
-
(Massachusetts Institute of Technology, 1984)
-
(Massachusetts Institute of Technology, 2011)In the first part of the thesis, we study quantum groups associated to a semisimple Lie algebra g. The classical Chevalley theorem states that for [ a Cartan subalgebra and W the Weyl group of g, the restriction of g-invariant ...
-
(Massachusetts Institute of Technology, 1992)
-
(Massachusetts Institute of Technology, 1941)
-
(Massachusetts Institute of Technology, 2004)In this thesis we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We describe this complex for the rings Z and Z(2), for the log-ring (Z(2), M) with the canonical ...
-
(Massachusetts Institute of Technology, 1994)
-
(Massachusetts Institute of Technology, 1998)
-
(Massachusetts Institute of Technology, 1968)
-
(Massachusetts Institute of Technology, 2008)The quantum information theory is the counterpart of the classical information theory in quantum computation, and it has raised many questions regarding the transmission and security of the information in quantum computers. ...
-
(Massachusetts Institute of Technology, 1992)
Browse
My Account
MIT-Mirage