Browsing Department of Mathematics by Title
Now showing items 323342 of 829

The heat kernel for manifolds with conic singularities
(Massachusetts Institute of Technology, 1996) 
A Hecke algebra quotient and properties of commutative elements of a Weyl group
(Massachusetts Institute of Technology, 1995) 
A heuristic program that solves symbolic integration problems in freshman calculus : symbolic automatic integrator (SAINT)
(Massachusetts Institute of Technology, 1961) 
Hidden Markov chains : convergence rates and the complexity of inference
(Massachusetts Institute of Technology, 1993) 
Highperformance computing with PetaBricks and Julia
(Massachusetts Institute of Technology, 2011)We present two recent parallel programming languages, PetaBricks and Julia, and demonstrate how we can use these two languages to reexamine classic numerical algorithms in new approaches for highperformance computing. ... 
Higher canonical asymptotics of KählerEinstein metrics on quasiprojective manifolds
(Massachusetts Institute of Technology, 2005)In this thesis, we derive the asymptotic expansion of the KiihlerEinstein metrics on certain quasiprojective varieties, which can be compactified by adding a divisor with simple normal crossings. The weighted ChengYau ... 
Higher limits via subgroup complexes
(Massachusetts Institute of Technology, 2000) 
Hochschild homology / cohomology of preprojective algebras of ADET quivers
(Massachusetts Institute of Technology, 2008)Preprojective algebras [Pi]q of quivers Q were introduced by Gelfand and Ponomarev in 1979 in order to provide a model for quiver representations (in the special case of finite Dynkin quivers). They showed that in the ... 
Hodge cohomology of negatively curved manifolds
(Massachusetts Institute of Technology, 1986) 
Homological mirror symmetry for a CalabiYau hypersurface in projective space
(Massachusetts Institute of Technology, 2012)This thesis is concerned with Kontsevich's Homological Mirror Symmetry conjecture. In Chapter 1, which is based on [1], we consider the ndimensional pair of pants, which is defined to be the complement of n + 2 generic ... 
Homotopy colimits
(Massachusetts Institute of Technology, 1997) 
Homotopy theory and topoi
(Massachusetts Institute of Technology, 1998) 
A homotopy theory for stacks
(Massachusetts Institute of Technology, 2001)We give a homotopy theoretic characterization of stacks on a site C which allows one to think of stacks as the homotopy sheaves of groupoids on C. We use this characterization to construct a model category, that is a formal ... 
The homotopy type of the matroid Grassmannian
(Massachusetts Institute of Technology, 2002)In this thesis, I establish a homotopy equivalence between the matroid Grassmannian [parallel] MacP(k, n) [parallel] and the real Grassmannian G(k, n) of kplanes in [Real set]n. This is accomplished by finding a Schubert ... 
Howe's rank and dual pair correspondence in semistable range
(Massachusetts Institute of Technology, 1998) 
Hydrodynamic analogues of quantum corrals and Friedel oscillations
(Massachusetts Institute of Technology, 2019)We consider the walking droplet (or 'walker') system discovered in 2005 by Yves Couder and coworkers. We investigate experimentally and theoretically the behaviour of this hydrodynamic pilotwave system in both closed and ... 
The hydrodynamics of waterwalking insects and spiders
(Massachusetts Institute of Technology, 2006)We present a combined experimental and theoretical investigation of the numerous hydrodynamic propulsion mechanisms employed by waterwalking arthropods (insects and spiders). In our experimental study, high speed ... 
HyperKaehler fibrations and Hilbert schemes
(Massachusetts Institute of Technology, 2006)In this thesis, I consider hyperKähler manifolds of complex dimension 4 which are fibrations. It is known that the fibers are abelian varieties and the base is P2. We assume that the general fiber is isomorphic to a product ... 
Hyperbolicpseudodifferential operators with double characteristics.
(Massachusetts Institute of Technology, 1976) 
I. A pressure Poisson method for the incompressible NavierStokes equations : II. Long time behavior of the KleinGordon equations
(Massachusetts Institute of Technology, 2011)In this thesis, we address two problems involving partial differential equations. In the first problem, we reformulate the incompressible NavierStokes equations into an equivalent pressure Poisson system. The new system ...