# Browse Dissertations and Theses - Mathematics by Title

• (1991)
We determine the existence of 1-factorizations of certain tensor products of graphs. The properties of these 1-factorizations are of interest; to study them, we develop results about the automorphism group of tensor products ...

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• (1991)
We determine the existence of 1-factorizations of certain tensor products of graphs. The properties of these 1-factorizations are of interest; to study them, we develop results about the automorphism group of tensor products ...

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• (2016-06-21)
We give an explicit construction of extended topological field theories over a manifold taking values in the deloopings of U(1) from the data of differential forms on the manifold. More specifically, for a manifold M, using ...

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• (2016-08-25)
One of the widely studied topics in singular integral operators is T1 theorem. More precisely, it asks if one can extend a Calder\'on-Zygmund operator to a bounded operator on $L^p$. In addition, Tb theorem was raised when ...

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• (2016-07-08)
We introduce a technique for obtaining the Bergman kernel on certain Hartogs domains. To do so, we apply a differential operator to a known kernel function on a domain in lower dimensional space. We rediscover some known ...

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• (2017-06-20)
We study the almost everywhere pointwise convergence of the solutions to Schrödinger equations in $\mathbb{R}^2$. It is shown that $\lim_{t \to 0} e^{it\Delta}f(x) = f(x)$ almost everywhere for all $f \in H^s (\mathbb{R}^2)$ ...

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• (2016-07-13)
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0 of a K(h)-local E∞-E-algebra in terms of a small amount of algebraic data. This involves only the E-cohomology of two ...

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• (2018-06-29)
The end goal of this work is to define and study an elementary higher topos. We will achieve this by going through several steps. First we review complete Segal spaces. Then we study various fibrations of complete Segal ...

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• (1998)
We focus on the A° sets and show that abstract complexity theory can be applied to the degrees of unsolvability simply by relativizing the notion of a complexity measure to 0'. Since the Gap Theorem holds in our context, ...

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• (1964)

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• (1963)

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• (1958)

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• (1964)

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• (1964)

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• (1969)

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• (1999)
For a commutative algebra A, the algebraic K-theory of A, K*(A), and the Hochschild homology of A, HH*(A), are graded rings, and the Dennis trace map D : K *(A) → HH*( A) is a graded ring map. Since Hochschild homology ...

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• (1972)

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• (2003)
In this work we are concerned with algebraic curves over supersimple fields. First it is proved that an elliptic curve defined over a supersimple field K whose j-invariant is s-generic over empty has a rational point ...

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• (1973)

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• (1976)

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