Browsing Mathematics  Ph.D. / Sc.D. by Title
Now showing items 183202 of 746

Erecursively enumerable degrees
(Massachusetts Institute of Technology, 1980) 
Economic behavior from an evolutionary perspective
(Massachusetts Institute of Technology, 2015)The conflict between rational models of economic behavior and their systematic deviations, often referred to as behavioral economics, is one of the most hotly debated issues in social sciences. This thesis reconciles the ... 
Edge labellings of partially ordered sets
(Massachusetts Institute of Technology, 2003)It is well known that if a finite graded lattice of rank n is supersolvable, then it has an ELlabelling where the labels along any maximal chain form a permutation of [1, 2,..., n]. We call such a labelling an Sn ELlabelling ... 
Effective Chabauty for symmetric powers of curves
(Massachusetts Institute of Technology, 2014)Faltings' theorem states that curves of genus g > 2 have finitely many rational points. Using the ideas of Faltings, Mumford, Parshin and Raynaud, one obtains an upper bound on the upper bound on the number of rational ... 
Efficient distributed medium access algorithm
(Massachusetts Institute of Technology, 2010)Allocation or scheduling of resources among various entities contending for their access is one of the fundamental problem in engineering and operations research. To design a large, scalable networked systems, scheduling ... 
Efficient holographic proofs
(Massachusetts Institute of Technology, 1996) 
Efficient multiwavelet representation of the projector on divergencefree functions
(Massachusetts Institute of Technology, 2000) 
Eigenvalue statistics for betaensembles
(Massachusetts Institute of Technology, 2003)Random matrix theory is a maturing discipline with decades of research in multiple fields now beginning to converge. Experience has shown that many exact formulas are available for certain matrices with real, complex, or ... 
Eigenvalues and condition numbers of random matrices
(Massachusetts Institute of Technology, 1989) 
Eigenvalues and low energy eigenvectors of quantum manybody systems
(Massachusetts Institute of Technology, 2012)I first give an overview of the thesis and Matrix Product States (MPS) representation of quantum spin systems on a line with an improvement on the notation. The rest of this thesis is divided into two parts. The first part ... 
The eleven dimensional supergravity equations, resolutions and Lefschetz fiber metrics
(Massachusetts Institute of Technology, 2015)This thesis consists of three parts. In the first part, we study the eleven dimensional supergravity equations on B 7 x S 4 considered as an edge manifold. We compute the indicial roots of the linearized system using the ... 
Embedding theorems in the reducibility ordering of partial degrees.
(Massachusetts Institute of Technology, 1971) 
Enumeration in algebra and geometry
(Massachusetts Institute of Technology, 1997) 
Enumerative algebraic geometry via techniques of symplectic topology and analysis of local obstructions
(Massachusetts Institute of Technology, 2002)Enumerative geometry of algebraic varieties is a fascinating field of mathematics that dates back to the nineteenth century. We introduce new computational tools into this field that are motivated by recent progress in ... 
Enumerative and algebraic aspects of matroids and hyperplane arrangements
(Massachusetts Institute of Technology, 2003)This thesis consists of three projects on the enumerative and algebraic properties of matroids and hyperplane arrangements. In particular, a central object of study is the Tutte polynomial, which stores much of the enumerative ... 
Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
(Massachusetts Institute of Technology, 2001)Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finitedimensional ... 
Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras
(Massachusetts Institute of Technology, 2011)In this thesis, we examine three different versions of "categorification" of the affine Hecke algebra and its periodic module: the first is by equivariant coherent sheaves on the Grothendieck resolution (and related objects), ... 
Equivariant cohomology, homogeneous spaces and graphs
(Massachusetts Institute of Technology, 2002)The focus of this thesis is manifolds with group actions, in particular symplectic manifolds with Hamiltonian torus actions. We investigate the relationship between the equivariant cohomology of the manifold M and the fixed ... 
Equivariant elliptic cohomology and rigidity
(Massachusetts Institute of Technology, 1999) 
Equivariant quantum cohomology and the geometric Satake equivalence
(Massachusetts Institute of Technology, 2016)Recent work on equivariant aspects of mirror symmetry has discovered relations between the equivariant quantum cohomology of symplectic resolutions and Casimirtype connections (among many other objects). We provide a new ...