Browsing Department of Mathematics by Title
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Determinants of laplacians
(Massachusetts Institute of Technology, 1986) 
The determination of the admissible nilpotent orbits in real classical groups
(Massachusetts Institute of Technology, 1987) 
Development of a continuous noninvasive extracorporeal blood pressure monitoring device
(Massachusetts Institute of Technology, 1982) 
The Development of Intersection Homology Theory
(American Society for Microbiology, 200806)This historical introduction is in two parts. The first is reprinted with permission from "A century of mathematics in America, Part II," Hist. Math., 2, Amer. Math. Soc., 1989, pp.543585. Virtually no change has been ... 
Diagrams of affine permutations and their labellings
(Massachusetts Institute of Technology, 2013)We study affine permutation diagrams and their labellings with positive integers. Balanced labellings of a Rothe diagram of a finite permutation were defined by Fomin GreeneReinerShimozono, and we extend this notion to ... 
Differential geometric and symplectic interpretations of stability in the sense of Gieseker
(Massachusetts Institute of Technology, 1993) 
Differential operators on varieties,
(Massachusetts Institute of Technology, 1972) 
Differential posets and dual graded graphs
(Massachusetts Institute of Technology, 2008)In this thesis I study rdifferential posets and dual graded graphs. Differential posets are partially ordered sets whose elements form the basis of a vector space that satisfies DUUD=rI, where U and D are certain ... 
Digital signatures from probabilistically checkable proofs
(Massachusetts Institute of Technology, 1995) 
The dimension of causal sets
(Massachusetts Institute of Technology, 1989) 
Dirac operators and monopoles with singularities
(Massachusetts Institute of Technology, 2007)This thesis consists of two parts. In the first part of the thesis, we prove an index theorem for Dirac operators of conic singularities with codimension 2. One immediate corollary is the generalized Rohklin congruence ... 
Dispersion of mass and the complexity of geometric problems
(Massachusetts Institute of Technology, 2007)How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a notion of dispersion and connect it to asymptotic ... 
Distance matrices of trees
(Massachusetts Institute of Technology, 1986) 
Distinguishing open symplectic mapping tori via their wrapped Fukaya categories
(Massachusetts Institute of Technology, 2019)The main goal of this thesis is to use homological methods as a step towards the classification of symplectic mapping tori. More precisely, we exploit the dynamics of wrapped Fukaya categories to distinguish an open version ... 
Domino tiling, gene recognition and mice
(Massachusetts Institute of Technology, 1999) 
Donsker classes, VapnikChervonenkis classes, and chisquared tests of fit with random cells
(Massachusetts Institute of Technology, 1980) 
Double affine Hecke algebras and noncommutative geometry
(Massachusetts Institute of Technology, 2005)In the first part we study Double Affine Hecke algebra of type An1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical subalgebra eH(t, 1)e of the Double Affine Hecke algebra H(t, ... 
Duality and Radon transform for symmetric spaces
(American Mathematical Society, 196307) 
Duality for projective varieties
(Massachusetts Institute of Technology, 1985) 
Duality for the local Euler obstruction with applications to real and complex singularities
(Massachusetts Institute of Technology, 1993)