Theses  Pure Mathematics and Mathematical Statistics
About this collection
Recent Submissions

Embedded contact knot homology and a surgery formula
(20181020)Embedded contact homology is an invariant of closed oriented contact 3manifolds first defined by Hutchings, and is isomorphic to both Heegard Floer homology (by the work of Colin, Ghiggini and Honda) and SeibergWitten ... 
Extremal Combinatorics and Universal Algorithms
(20181015)In this dissertation we solve several combinatorial problems in different areas of mathematics: automata theory, combinatorics of partially ordered sets and extremal combinatorics. Firstly, we focus on some new automata ... 
Dcap modules on rigid analytic spaces
(20180720)Following the notion of $p$adic analytic differential operators introduced by ArdakovWadsley, we establish a number of properties for coadmissible $\wideparen{\mathcal{D}}$modules on rigid analytic spaces. Our main ... 
Automorphism Groups of Quadratic Modules and Manifolds
(20180720)In this thesis we prove homological stability for both general linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, ...