Nontrivial zeros of the Riemann zeta function (2023)
Working Paper
Austin, J. Nontrivial zeros of the Riemann zeta function

The Riemann hypothesis, stating that all nontrivial zeros of the Riemann zeta function have real parts equal to 1/2, is one of the most important conjectures in mathematics. In this paper we prove the Riemann hypothesis by solving an integral form of... Read More about Nontrivial zeros of the Riemann zeta function.

Exploring the usage of edge gradients within images to perform coarse localisation (2021)
Thesis
Jarvis, D. G. (2021). Exploring the usage of edge gradients within images to perform coarse localisation. (Thesis). Keele University

With the rise in autonomous systems being integrated into the world around us, it has become increasingly important that theses systems have functions that allow the navigation of environments. One of the key functions is the recognition of the envir... Read More about Exploring the usage of edge gradients within images to perform coarse localisation.

Imaging shape and strain in nanoscale engineered semiconductors for photonics by coherent x-ray diffraction (2020)
Journal Article
Felici, M., Patané, A., Polimeni, A., Clark, J., Balakrishnan, N., Clark, J. N., …Pettinari, G. (2020). Imaging shape and strain in nanoscale engineered semiconductors for photonics by coherent x-ray diffraction. communications materials, 1, Article 19. https://doi.org/10.1038/s43246-020-0021-6

Coherent x-ray diffractive imaging is a nondestructive technique that extracts three-dimensional electron density and strain maps from materials with nanometer resolution. It has been utilized for materials in a range of applications, and has signifi... Read More about Imaging shape and strain in nanoscale engineered semiconductors for photonics by coherent x-ray diffraction.