Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive ....Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive roots to signal processing, cryptography and cybersecurity.Read moreRead less
Automatic control systems for low-energy pipelines in irrigation networks. Automatic control systems for low-energy pipelines in irrigation networks. This project aims to design automated pipelines to distribute irrigation water from backbone open-channels to end-users. Automation can make irrigation networks more efficient, which is important for food security and the environment. Automation is expected to achieve low-energy distribution, in line with the gravity-powered operation of typical op ....Automatic control systems for low-energy pipelines in irrigation networks. Automatic control systems for low-energy pipelines in irrigation networks. This project aims to design automated pipelines to distribute irrigation water from backbone open-channels to end-users. Automation can make irrigation networks more efficient, which is important for food security and the environment. Automation is expected to achieve low-energy distribution, in line with the gravity-powered operation of typical open-channel networks. The main challenges are the development of suitable models for designing outlet-flow control systems, optimization-based outlet-flow scheduling methods for ensuring operation within hydraulic constraints, and system monitoring techniques. This project will design automatic control systems to enable low-energy water distribution from open-channels to end-users by pipes.Read moreRead less