Browsing College of Arts and Sciences (MU) by Thesis Advisor "Segert, Jan"
Now showing items 1-3 of 3
-
Complex and almost-complex structures on six dimensional manifolds
(University of Missouri--Columbia, 2006)We investigate the properties of hypothetical exotic complex structures on three dimensional complex projective space CP³. This is motivated by the long standing question in differential geometry of whether or not the six ... -
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 ... -
Structural features of persistent homology and their algorithmic transformations
(University of Missouri--Columbia, 2021)We re-examine the theory and orthodox methods that underlie the study of persistent homology, particularly in its calculation of homological cycle representatives that are associated to persistence diagrams. A common ...