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Browsing Department of Mathematics by Title
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(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 ...
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(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 ...
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(Massachusetts Institute of Technology, 1999)
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(Massachusetts Institute of Technology, 1937)
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1996)
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(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 ...
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(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 ...
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(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 ...
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(Massachusetts Institute of Technology, 2005)Delzant's theorem for symplectic toric manifolds says that there is a one-to-one correspondence between certain convex polytopes in ... and symplectic toric 2n-manifolds, realized by the image of the moment map. I present ...
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(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. ...
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(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, ...
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(Massachusetts Institute of Technology, 1966)
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(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 ...
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(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 ...
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(Massachusetts Institute of Technology, 1989)
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(Massachusetts Institute of Technology, 1986)
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(Massachusetts Institute of Technology, 1987)
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(Massachusetts Institute of Technology, 1982)
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(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 ...
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