Browsing Mathematics - Ph.D. / Sc.D. by Title
Research and Teaching Output of the MIT Community
- Home
- →
- MIT Libraries
- →
- MIT Theses
- →
- Theses - Dept. of Mathematics
- →
- Mathematics - Ph.D. / Sc.D.
- →
- Browsing Mathematics - Ph.D. / Sc.D. by Title
JavaScript is disabled for your browser. Some features of this site may not work without it.
Browsing Mathematics - Ph.D. / Sc.D. by Title
-
(Massachusetts Institute of Technology, 1962)
-
(Massachusetts Institute of Technology, 2010)In this thesis, I investigate the index of Callias type operators on asymptotically conic manifolds (also known as asymptotically locally Euclidean manifolds or scattering manifolds) and give an application to the moduli ...
-
(Massachusetts Institute of Technology, 2008)The classical transport theory cannot explain the experimental behavior of electrochemical systems in the extreme operating conditions required by modern microfluidics devices. Some experimental puzzles include strange ...
-
(Massachusetts Institute of Technology, 2010)In recent work of Baas-Dundas-Richter-Rognes, the authors introduce the notion of the K- theory of a bimonoidal category R, and show that it is equivalent to the algebraic K-theory space of the ring spectrum KR. In this ...
-
(Massachusetts Institute of Technology, 1998)
-
(Massachusetts Institute of Technology, 2002)The central focus of my thesis is to study the instability jets of various complexity by analyzing the linear and nonlinear dynamics. We applied this methodology to four different situations in order to learn the following. ...
-
(Massachusetts Institute of Technology, 2011)We study two instanton correction problems of Hitchin's moduli spaces along with their wall crossing formulas. The hyperkahler metric of a Hitchin's moduli space can be put into an instanton-corrected form according to ...
-
(Massachusetts Institute of Technology, 2016)This thesis presents applications of differential geometry and graph theory to the design and analysis of Markov chain Monte Carlo (MCMC) algorithms. MCMC algorithms are used to generate samples from an arbitrary probability ...
-
(Massachusetts Institute of Technology, 1994)
-
(Massachusetts Institute of Technology, 1981)
-
(Massachusetts Institute of Technology, 2009)A new continuum model has been proposed by Singh, Ceder, and Bazant for the ion intercalation dynamics in a single crystal of rechargeable-battery electrode materials. It is based on the Cahn-Hilliard equation coupled to ...
-
(Massachusetts Institute of Technology, 1991)
-
(Massachusetts Institute of Technology, 2006)We define a new family of open Gromov-Witten type invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian ...
-
(Massachusetts Institute of Technology, 2016)This thesis consists of two parts. In part one of this thesis, we study the relationship between the Artin conductor and the minimal discriminant of a hyperelliptic curve defined over the fraction field K of a discrete ...
-
(Massachusetts Institute of Technology, 2001)We introduce new, readily computable invariants of Legendrian knots and links in standard contact three-space, allowing us to answer many previously open questions in contact knot theory. The origin of these invariants is ...
-
(Massachusetts Institute of Technology, 1995)
-
(Massachusetts Institute of Technology, 1996)
-
(Massachusetts Institute of Technology, 1951)
-
(Massachusetts Institute of Technology, 2001)The criterion of h-positivity corresponds to the criterion that a polynomial representation of the general linear group of V is a sum of tensor products of symmetric powers of V. Expanding the iterated exponential function ...
-
(Massachusetts Institute of Technology, 1994)
Browse
My Account
MIT-Mirage