These fellowships bring in a total of £665,000 to the Department of Mathematical Sciences.
Shane Cooper, Sergey Dolgov and Joe Karmazyn will all be arriving in Bath over the next few months and will further enhance the department’s excellent research portfolio.
Ivan Graham, Head of Department, said: “This is a fantastic achievement for the department and really showcases the environment that is on offer to up and coming researchers. We are very excited about welcoming Joe, Sergey and Shane to the University.”
Sergey Dolgov - New efficient algorithms for manipulating data and solving equations
Sergey, currently a postdoctoral researcher at the Max-Planck Institute for Dynamics of Complex Technical Systems, will undertake work on contemporary mathematical models featuring many extra dimensions.
Anything more than three spatial coordinates makes numerical simulation tremendously difficult. However, often the variables have different importance and influence only from their neighbours. This is revealed and exploited by the separation of variables, a versatile data compression formalism that breaks down a high-dimensional model to a moderate set of one-dimensional problems.
Sergey is developing new efficient algorithms for manipulating data and solving equations directly in such compressed representations. This has applications across many areas of science and engineering and Sergey plans to work with colleagues in the Departments of Mechanical Engineering and Biology & Biochemistry to exploit his models.
Sergey said: "I am looking forward to starting the new level of my work in an inspiring atmosphere at Bath. Remembering how many people wished to cooperate with me after just the few days I spent at the University, I am sure that my project will be in the right place."
Shane Cooper - Mathematical analysis of metamaterials and their applications
Shane is currently a Postdoctoral Researcher at Laboratoire de Mécanique et Génie Civil in Montpelier.
The unusual properties of metamaterials, such as the ability to break the diffraction limit, arise from complex interactions across multiple spatial and temporal scales.
While the impressive catalogue of performances realised by metamaterials continues to grow, a deep mathematical understanding of the underpinning phenomena is still lacking.
Shane Cooper’s project aims to address this and determine the simplest mathematical description for such phenomena by analytically 'distilling' the essential multiscale information from the underlying governing equations.
Shane said: "I am very happy to be returning to Bath, where I completed my PhD. The department’s outstanding research activity and interdisciplinary engagements provide an ideal environment to undertake this project. In addition, I would like to thank the Research and Innovation Services at the University. I found their support and expert advice during the application process invaluable."
Joseph Karmazyn - Interactions between moduli spaces, noncommutative algebra and deformation theory
Joseph is currently a PhD student at the University of Edinburgh.
Deformation theory is used to analyse a range of different situations within algebraic geometry, with applications in areas such as the Minimal Model Program and the calculation of numerical invariants.
Joe’s research seeks to translate aspects of deformation theory from algebraic geometry into noncommutative algebra and approach them with different techniques available there. The results and insight gained can then be translated back into geometry by using moduli space techniques to construct geometric spaces parametrising data attached to the noncommutative algebras.
Joe said: "I feel very fortunate to have the opportunity to come to the University of Bath, and I look forward to joining the department in the summer. I would also like to thank the members of the department who I have spoken to throughout my PhD and who offered me advice with the application process."