Browsing Mathematics - Master's degree by Title
Now showing items 1-20 of 42
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Adelic Fourier-Whittaker coefficients and the Casselman-Shalika formula
(Massachusetts Institute of Technology, 2009)In their paper Metaplectic Forms, D. A. Kazhdan and S. J. Patterson developed a generalization of automorphic forms that are defined on metaplectic groups. These groups are non-trivial covering groups of usual algebraic ... -
Analytical differentiation on a digital computer
(Massachusetts Institute of Technology, 1953) -
Application of random codes to the gathering of statistical information
(Massachusetts Institute of Technology, 1948) -
Applications of 3-manifold Floer Homology
(Massachusetts Institute of Technology, 2007)In this thesis we give an exposition of some of the topological preliminaries necessary to understand 3-manifold Floer Homology constructed by Peter Kronheimer and Tomasz Mrowka in [16], along with some properties of this ... -
Approximate solutions of the Poincaré problem,
(Massachusetts Institute of Technology, 1968) -
Arithmetic properties and decomposability of Jacobians
(Massachusetts Institute of Technology, 2018)We first give an overview of methods used to study the decomposability of Jacobians of curves over the complex numbers. This involves studying the action of a finite group on an abelian variety in general. Next, we use ... -
Atiya-Bott theory for orbifolds and Dedkind sums
(Massachusetts Institute of Technology, 1994) -
Bounds for the nonlinear filtering problem.
(Massachusetts Institute of Technology, 1976) -
Branching from K to M for split classical groups
(Massachusetts Institute of Technology, 2005)We provide two algorithms to solve branching from K to M for the real split reductive group of type A, one inductive and one related to semistandard Young tableaux. The results extend to branching from Ke to M Ke for the ... -
Cluster analysis
(Massachusetts Institute of Technology, 1953) -
Coloring with defects
(Massachusetts Institute of Technology, 1995) -
The Compression Theorem of Rourke and Sanderson
(Massachusetts Institute of Technology, 2006)This is an exposition of the Compression Theorem of Colin Rourke and Brian Sanderson, which leads to a new proof of the Immersion Theorem. -
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) -
Extremal problems for polynomials and power series
(Massachusetts Institute of Technology, 1951) -
Gauge-fixing and equivariant cohomology
(Massachusetts Institute of Technology, 1994)
