# Browse Dissertations and Theses - Mathematics by Title

• (1959)

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• (1980)
It is known that many decision problems are unsolvable in the class of all finitely presented groups. When the class of groups is restricted, problems previously unsolvable can become solvable. In this work we investigate ...

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• (1977)

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• (1967)

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• (1969)

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• (1973)

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• (1968)

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• (1954)

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• (1971)

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• (1992)
A theory T admits elimination of imaginaries (EI) if every definable equivalence relation $\sim$ is the kernel of a definable map f. (I.e., $\vec{x}\sim\vec{y}\Longleftrightarrow f(\vec{x})=f(\vec{y}).)$ This term was ...

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• (2014-05-30)
The Hilbert scheme of $n$ points in a smooth del Pezzo surface $S$ parameterizes zero-dimensional subschemes with length $n$ on $S$. We construct a flat family of deformations of Hilb$^n S$ which can be conceptually ...

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• (2012-09-18)
We examine several problems in extremal graph theory, emphasizing problems involving games on graphs. In Chapter 2, we study a variant of Ramsey theory, seeking Ramsey hosts with small maximum degree. We focus on finding ...

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• (1987)
Consider the second order non-linear differential operator ${\cal L}y$ = Ly + $\eta y\sp3$, where $\eta$ = $\pm$1 and L, the linear part of ${\cal L}$, is of the form Ly = $y\sp{\prime\prime}$ + $p(x)y\sp\prime$ + q(x)y. ...

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• (1977)

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• (2012-09-18)
For finite group presentations, the word problem is solvable if and only if the Dehn function is computable. Additionally, the bounded word problem is always solvable. For finitely generated decidable group presentations, ...

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• (1960)

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• (1967)

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• (1961)

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• (1968)

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• (1970)

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