Browsing Mathematics - Ph.D. / Sc.D. by Title
Now showing items 152-171 of 746
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Day convolution and the Hodge filtration on THH
(Massachusetts Institute of Technology, 2015)This thesis is divided into two chapters. In the first, given symmetric monoidal oc-categories C and D, subject to mild hypotheses on D, we define an oc-categorical analog of the Day convolution symmetric monoidal structure ... -
Decidable prime models
(Massachusetts Institute of Technology, 2001)A set S of types over a theory T is strongly free if for all subsets X [strict subset] S, there is a countable model of T which realizes X and omits S\X. Throughout, all theories are assumed complete and consistent unless ... -
Decomposition and enumeration in partially ordered sets
(Massachusetts Institute of Technology, 1999) -
Deformation of orders
(Massachusetts Institute of Technology, 1997) -
Deformation quantization of symplectic fibrations
(Massachusetts Institute of Technology, 1996) -
Deformations of characters, metaplectic Whittaker functions, and the Yang-Baxter equation
(Massachusetts Institute of Technology, 2011)Recently, unexpected connections have been discovered between characters of representations and lattice models in statistical mechanics. The bridge was first formed from Kuperberg's solution to the alternating sign matrix ... -
Degenerate Monge-Ampere equations over projective manifolds
(Massachusetts Institute of Technology, 2006)In this thesis, we study degenerate Monge-Ampere equations over projective manifolds. The main degeneration is on the cohomology class which is Kähler in classic cases. Our main results concern the case when this class is ... -
Deligne categories and representation stability in positive characteristic
(Massachusetts Institute of Technology, 2017)We study the asymptotic behavior of the representation theory of symmetric groups Sn, in positive characteristic as n grows to [infinity], with the goal of understanding and generalizing the Deligne categories Rep(St) as ... -
Delooping the Quillen map.
(Massachusetts Institute of Technology, 1971) -
Derived algebraic geometry
(Massachusetts Institute of Technology, 2004)The purpose of this document is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. ... -
Derived algebraic geometry over En̳-rings
(Massachusetts Institute of Technology, 2008)We develop a theory of less commutative algebraic geometry where the role of commutative rings is assumed by En-rings, that is, rings with multiplication parametrized by configuration spaces of points in Rn. As n increases, ... -
Derived functors.
(Massachusetts Institute of Technology, 1966) -
Derived mapping spaces as models for localizations by Jennifer E. French.
(Massachusetts Institute of Technology, 2010)This work focuses on a generalization of the models for rational homotopy theory developed by D. Sullivan and D. Quillen and p-adic homotopy developed by M. Mandell to K(1)-local homotopy theory. The work is divided into ... -
Detection of non-coding RNA with comparative genomics and the sequential closure of smooth graphs in Cartesian currents
(Massachusetts Institute of Technology, 2003)In the field of genomics, this thesis presents algorithms for identifying non-coding RNA (ncRNA) genes. It describes a rapid and highly reliable comparative statistical method for identification of functionally significant ... -
Determinants of elliptic operators
(Massachusetts Institute of Technology, 1989) -
Determinants of laplacians
(Massachusetts Institute of Technology, 1986) -
The determination of the admissible nilpotent orbits in real classical groups
(Massachusetts Institute of Technology, 1987) -
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- Greene-Reiner-Shimozono, 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)
