Dr Calum Horrobin BSc, PhD

Dr Calum Horrobin

School of Mathematics
Postdoctoral Research Associate

Contact details

Address
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Calum Horrobin is a postdoctoral research associate of Professor Marta Mazzocco. His research interests include integrable systems, the analytic theory of differential equations, the Riemann-Hilbert correspondence and the interactions of these topics with geometry and mathematical physics. His current work is primarily concerned with solving the direct monodromy problem for some of the Painlevé equations, as a continuation of the results in his PhD.

Calum is a passionate speaker about mathematics and has frequently presented his research results at national and international conferences. Prior to this position, Calum secured funding from EPSRC to complete his PhD at Loughborough University and was awarded his degree in 2018. He is also a part of the Geometry and Mathematical Physics Group here at the University of Birmingham.

Qualifications

  • July 2018: PhD in Mathematics, Loughborough University, UK.
  • July 2014: BSc in Mathematics, Aston University, UK.  

Biography

In 2014 Calum was presented with the Institute of Mathematics and its Applications award for his outstanding performance and achieving highest overall mark in his BSc degree in Mathematics at Aston University. Calum went on to secure funding from EPSRC to complete his PhD at Loughborough University and graduated in 2018.

He is currently is a postdoctoral research associate of Professor Marta Mazzocco, working on solving the direct monodromy problem for some of the Painlevé equations and extending these results to the Garnier system, as a continuation of the results in his PhD.

Research

Main research areas

  • Integrable systems
  • Special functions
  • Geometry and Mathematical Physics

Calum Horrobin’s research interests include: analytic and asymptotic aspects of differential equations, Painlevé-type equations, the isomonodromic deformations method, the Riemann-Hilbert correspondence and extensions of these topics to discrete or quantum cases.

Publications

  • Horrobin, C., and Mazzocco, M., Confluences of the Painlevé equations PVI, PV and PIII(D6) and the direct monodromy problem, In Preparation (2018).
  • Horrobin,C., Directly Calculating the Stokes’ data in the Confluence of Gauss’ Hypergeometric Differential Equation, In Preparation (2018).