A PhD position is available within the Mathematics Group in the School of Mathematics, Statistics and Actuarial Science (SMSAS), University of Kent, UK. The project is entitled " Multiple orthogonal polynomials ", and will be supervised by Dr Ana Loureiro.
The classical orthogonal polynomials of Hermite, Laguerre, Bessel and Jacobi have been widely applied in many different areas of mathematics and physics. The concept has been extended to different directions. The vast number of hot applications has made this subject very attractive and in the last decade there have been significant advances in the theory. The proposal here is to work on the modern theory of multiple orthogonality, which is a very powerful extension of the concept of orthogonality that has been widely and effectively applied in various fields of mathematics including numerical analysis, rational approximation, number theory (to prove irrationality and transcendence of certain constants), combinatorics, nonlinear (discrete) dynamical systems and operator theory (see A. Martínez-Finkelshtein and http://W.Van Assche , “WHAT IS... A Multiple Orthogonal Polynomial?” , Notices of the American Mathematical Society (2016), 63(9), 1029-1031). So, nowadays the subject is highly regarded with a number of pertinent questions.
The successful candidate will work on topics related to multiple orthogonal polynomials, chosen according to their interests and background. The student will be able to develop and tune techniques that appeal to a fruitful interplay between algebraic and analytical methods, flavored by combinatorial and integral transforms theory and therefore dealing with a number of powerful mathematical techniques and work on a very timely project. The student will learn a range of analytic and computational techniques suitable for a wide range of careers, including a research career.
This project is funded by a prestigious University of Kent Vice-Chancellor's PhD Studentship; a total of five such awards have been made to researchers across the Faculty of Sciences in the academic year 2016/17. This award includes PhD fees, as well as a scholarship of £14,553 per year (2017/18 rate) for 3.5 years, starting in September 2017. This studentship is available for all UK and EU students. (Overseas candidates are allowed to apply but will have to pay the difference in fees which is roughly £8000 per year.) More details available at https://sites.google.com/site/afilipaloureiro/home/phd-studentship .
Candidates are asked to submit their applications at https://www.kent.ac.uk/courses/postgraduate/149/mathematics. The closing date for this vacancy is 17 April 2017. Interviews are provisionally scheduled for 24 April 2017.