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Browsing Department of Mathematics by Title

Yin, Jingbin
(Massachusetts Institute of Technology, 2009)
The main result of this work is a qanalogue relationship between nilpotent transformations and spanning trees. For example, nilpotent endomorphisms on an ndimensional vector space over Fq is a qanalogue of rooted spanning ...

Ackerman, Nathaniel Leedom
(Massachusetts Institute of Technology, 2006)
In Part A we will study the quantifier rank spectrum of sentences of L!1,!. We will show that there are scattered sentences with models of arbitrarily high but bounded quantifier rank. We will also consider the case of ...

Mihov, Diko
(Massachusetts Institute of Technology, 1996)

Jordan, David Andrew
(Massachusetts Institute of Technology, 2011)
In this thesis, a new class of algebras called quantized multiplicative quiver varieties A (Q), is constructed, depending upon a quiver Q, its dimension vector d, and a certain "moment map" parameter . The algebras Ad(Q) ...

Piunikhin, Serguei
(Massachusetts Institute of Technology, 1996)

Travkin, Roman (Roman Mikhailovich)
(Massachusetts Institute of Technology, 2012)
Let C be a smooth connected projective curve of genus > 1 over an algebraically closed field k of characteristic p > 0, and c [epsilon] k \ Fp. Let BunN be the stack of rank N vector bundles on C and Ldet the line bundle ...

Abolfathe Beikidezfuli, Salman
(Massachusetts Institute of Technology, 2009)
Quantum complexity theory is important from the point of view of not only theory of computation but also quantum information theory. In particular, quantum multiprover interactive proof systems are defined based on ...

Frankland, Martin
(Massachusetts Institute of Technology, 2010)
We use the obstruction theory of BlancDwyerGoerss to study the realization space of certain  algebras with 2 nontrivial groups. The main technical tool is a result on the Quillen cohomology of truncated algebras, which ...

Peskin, Barbara R
(Massachusetts Institute of Technology, 1980)

Wang, Fang, Ph. D. Massachusetts Institute of Technology
(Massachusetts Institute of Technology, 2010)
The radiation field introduced by Friedlander provides a direct approach to the asymptotic expansion of solutions to the wave equation near null infinity. We use this concept to study the asymptotic behavior of solutions ...

Helgason, S.
(American Mathematical Society, 1965)

Saias, Alain Isaac
(Massachusetts Institute of Technology, 1995)

Smith, Warren Douglas
(Massachusetts Institute of Technology, 1984)

Castravet, AnaMaria, 1975
(Massachusetts Institute of Technology, 2002)
We find and describe the irreducible components of the space of rational curves on moduli spaces M of rank 2 stable vector bundles with odd determinant on curves C of genus g [greater than or equal to] 2. We prove that the ...

Scott, Richard A. (Richard Allan)
(Massachusetts Institute of Technology, 1993)

Lange, Kenneth Lamar
(Massachusetts Institute of Technology, 1971)

Beyer, Wendell Terry
(Massachusetts Institute of Technology, 1969)

Friedman, Sy David
(Massachusetts Institute of Technology, 1976)

Jockusch, Carl Groos, Jr
(Massachusetts Institute of Technology, 1966)

Zanger, Daniel Zvi
(Massachusetts Institute of Technology, 1997)