Browsing Department of Mathematics by Title
Now showing items 422441 of 829

Modeling and prediction of sunspot cycles
(Massachusetts Institute of Technology, 2001)Solar activity, as indexed by sunspots, has a cycle of length varying from about 9 to 13 years. Statisticians have fitted several models to predict sunspot numbers one year ahead. We instead focus on predicting the magnitudes ... 
Modeling of fluids and waves with analytics and numerics
(Massachusetts Institute of Technology, 2013)Capillary instability (PlateauRayleigh instability) has been playing an important role in experimental work such as multimaterial fiber drawing and multilayer particle fabrication. Motivated by complex multifluid geometries ... 
Models of high rank for weakly scattered theories
(Massachusetts Institute of Technology, 2006)The Scott rank of a countable structure A, denoted sr(A), was observed by Nadel to be at most wA + 1, where wA4 is the least ordinal not recursive in A. Let T be weakly scattered and L(a,T) be E2admissible. We give a ... 
Modular bootstrap data
(20200603)This data set includes the numerical data from the papers "Highdimensional sphere packing and the modular bootstrap" (by AfkhamiJeddi, Cohn, Hartman, de Laat, and Tajdini) and "Free partition functions and an averaged ... 
Modular invariance for vertex operator superalgebras
(Massachusetts Institute of Technology, 2012)We generalize Zhu's theorem on modular invariance of characters of vertex operator algebras (VOAs) to the setting of vertex operator superalgebras (VOSAs) with rational, rather than integer, conformal weights. To recover ... 
Modules over affine lie algebras at critical level and quantum groups by Qian Lin.
(Massachusetts Institute of Technology, 2010)There are two algebras associated to a reductive Lie algebra g: the De Concini Kac quantum algebra and the KacMoody Lie algebra. Recent results show that the principle block of De Concini Kac quantum algebra at an odd ... 
Modules over regular algebras and quantum planes
(Massachusetts Institute of Technology, 1994) 
Moduli for pairs of elliptic curves with isomorphic Ntorsion
(Massachusetts Institute of Technology, 1998) 
Moduli of twisted sheaves and generalized Azumaya algebras
(Massachusetts Institute of Technology, 2004)We construct and describe compactified moduli stacks of Azumaya algebras on a smooth projective morphism X [right arrow] S. These stacks are the algebrogeometric version of the (suitably compactified) stacks of principal ... 
The moduli space of hypersurfaces whose singular locus has high dimension
(Massachusetts Institute of Technology, 2011)Fix integers n and b with n =/> 3 and 1 =/< b < n  1. Let k be an algebraically closed field. Consider the moduli space X of hypersurfaces in P" of fixed degree I whose singular locus is at least bdimensional. We prove ... 
Monomization of power Ideals and parking functions
(Massachusetts Institute of Technology, 2010)A zonotopal algebra is the quotient of a polynomial ring by an ideal generated by powers of linear forms which are derived from a zonotope, or dually it's hyperplane arrangement. In the case that the hyperplane arrangement ... 
Monopoles and Pin(2)symmetry
(Massachusetts Institute of Technology, 2016)In this thesis we generalize the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with MorseBott singularities. Focusing then on the special case of a threemanifold ... 
The Morse index of mean curvature flow selfshrinkers
(Massachusetts Institute of Technology, 2016)In this thesis, we will introduce a notion of index of shrinkers of the mean curvature flow. We will then prove a gap theorem for the index of rotationally symmetric immersed shrinkers in R3, namely, that such shrinkers ... 
Morse inequalities, a probabilistic approach
(Massachusetts Institute of Technology, 2004)In this thesis we give a probabilistic proof of the Morse inequalities in the nondegenerate and degenerate case. For the nondegenerate case the kernel associated with the Witten Laplacian has an expression via the Malliavin ... 
Multidimensional wavelets
(Massachusetts Institute of Technology, 1997) 
Multiple gamma functions and derivatives of Lfunctions at nonpositive integers
(Massachusetts Institute of Technology, 1996) 
Multiplicity formulas for orbifolds
(Massachusetts Institute of Technology, 1996) 
Multiplicityfree Hamiltonian actions and existence of invariant Kähler structure
(Massachusetts Institute of Technology, 1996) 
Multiscale modeling in granular flow
(Massachusetts Institute of Technology, 2007)Granular materials are common in everyday experience, but have longresisted a complete theoretical description. Here, we consider the regime of slow, dense granular flow, for which there is no general model, representing ... 
Multiwaveletstheory and applications
(Massachusetts Institute of Technology, 1996)