Browsing Mathematics - Master's degree by Title
Now showing items 13-32 of 44
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Delzant-type classification of near-symplectic toric 4-manifolds
(Massachusetts Institute of Technology, 2005)Delzant's theorem for symplectic toric manifolds says that there is a one-to-one correspondence between certain convex polytopes in ... and symplectic toric 2n-manifolds, realized by the image of the moment map. I present ... -
Differential posets and dual graded graphs
(Massachusetts Institute of Technology, 2008)In this thesis I study r-differential posets and dual graded graphs. Differential posets are partially ordered sets whose elements form the basis of a vector space that satisfies DU-UD=rI, where U and D are certain ... -
Enumerative problems in intersection theory
(Massachusetts Institute of Technology, 2003)We develop and describe some of the basic tools of intersection theory in algebraic geometry. Some classical enumerative problems are then solved using these methods. In particular, we discuss the Fano variety of a cubic ... -
Equivalent statements to exotic p.1. structures on the 4-sphere.
(Massachusetts Institute of Technology, 1973) -
Examining the validity of sample clusters using the bootstrap method
(Massachusetts Institute of Technology, 1983) -
Example of solvable quantum groups and their representations
(Massachusetts Institute of Technology, 1994) -
Existence and uniqueness theorems for ordinary differential equations
(Massachusetts Institute of Technology, 1959) -
Extremal problems for polynomials and power series
(Massachusetts Institute of Technology, 1951) -
Gauge-fixing and equivariant cohomology
(Massachusetts Institute of Technology, 1994) -
The generalized Harish-Chandra homomorphism for Hecke algebras of real reductive Lie groups
(Massachusetts Institute of Technology, 2005)For complex reductive Lie algebras g, the classical Harish-Chandra homomorphism allows to link irreducible finite dimensional representations of g to those of certain subalgebras l. The Casselman-Osborne theorem establishes ... -
Graded rings, modules and algebras.
(Massachusetts Institute of Technology, 1970) -
Graph polynomials and statistical physics
(Massachusetts Institute of Technology, 2007)We present several graph polynomials, of which the most important one is the Tutte polynomial. These various polynomials have important applications in combinatorics and statistical physics. We generalize the Tutte polynomial ... -
Homotopy colimits
(Massachusetts Institute of Technology, 1997) -
Introductory study of hypercomplex number systems and their applications in geometry
(Massachusetts Institute of Technology, 1931) -
A Legendre spectral element method for the rotational Navier-Stokes equations
(Massachusetts Institute of Technology, 1995) -
List coloring in general graphs
(Massachusetts Institute of Technology, 2015)In this thesis we explore some of the relatively new approaches to the problem of list-coloring graphs. This is a problem that has its roots in classical graph theory, but has developed an entire theory of its own, that ... -
A mathematical survey of computing devices with an appendix on an error analysis of differential analyzers
(Massachusetts Institute of Technology, 1947) -
A model of efficiency and trading opportunities in financial markets
(Massachusetts Institute of Technology, 1996) -
Model order reduction for nonlinear systems
(Massachusetts Institute of Technology, 1999)This thesis presents some practical methods for doing model order reduction for a general type of nonlinear systems. Based on quadratic or even higher degree approximation and tensor reduction with assistance of Arnoldi ... -
On a construction of Helgason and a theorem of Kostant.
(Massachusetts Institute of Technology, 1975)
