Browsing Department of Mathematics (MU) by Thesis Semester "2018 Spring"
Now showing items 1-5 of 5
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Asymptotic properties of deep water solitary waves with compactly supported vorticity
(University of Missouri--Columbia, 2018)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] In this thesis, we consider two-and three-dimensional gravity and capillary-gravity solitary waves propagating along the surface of a body of water ... -
Generalized Littlewood-Richardson coefficients for branching rules of GL(n) and extremal weight crystals
(University of Missouri--Columbia, 2018)This thesis is devoted to the combinatorial and geometric study of certain multiplicities, which we call generalized Littlewood-Richardson coefficients. These are sums of products of single Littlewood-Richardson coefficients, ... -
Generating sequences and semigroups of valuations on 2 dimensional normal local rings
(University of Missouri--Columbia, 2018)In this thesis we develop a method for constructing generating sequences for valuations dominating the ring of a two dimensional quotient singularity. Suppose that K is an algebraically closed field of characteristic zero, ... -
On the global Gan-Gross-Prasad conjecture for general spin groups
(University of Missouri--Columbia, 2018)In the 1990s, Benedict Gross and Dipendra Prasad formulated an intriguing conjecture connected with restriction laws for automorphic representations of a particular group. More recently, Gan, Gross, and Prasad extended ... -
Persistent homology : categorical structural theorem and stability through representations of quivers
(University of Missouri--Columbia, 2018)The purpose of this thesis is to advance the study and application of the field of persistent homology through both categorical and quiver theoretic viewpoints. While persistent homology has its roots in these topics, there ...