## Our Alumni – Lijing Lin

In this blog post, we asked one of our alumni, Lijing Lin, a few questions about her time with the Numerical Linear Algebra Group.

**Please can you introduce yourself and tell us a bit about your experience before attending University of Manchester?**

** **I obtained my BSc from Nanjing University of Aeronautics and Astronautics and MSc from Fudan University in China, before coming to Manchester to study for my PhD in 2007.

**What was your PhD thesis on?**

** **The title of my thesis is Roots of Stochastic Matrices and Fractional Matrix Powers. Computing roots of stochastic matrices arises from Markov chain models in finance and healthcare where a transition over a certain time interval is needed but only a transition over a longer time interval may be available. Besides developing new theories, we also developed a package for computing stochastic roots. Fractional matrix powers are more general functions than matrix roots. We developed a new algorithm for computing arbitrary real powers of matrices.

**Why did you choose to study your PhD in Manchester?**

** **I had developed an interest in doing research in Numerical Linear Algebra during my MSc. The NLA group in Manchester is renowned for world-leading expertise in this area, and is one of the best places in the world to study and do research.

**How did you find Manchester?**

** **I have studied, worked and lived in Manchester for over 11 years now. It is exciting, diverse and welcoming–a city that keeps growing and never stops surprising me.

**Can you tell us about your career since leaving Manchester?**

** **After graduating, I continued working in Manchester as a Research Associate. With a solid background in NLA, my research now has moved toward machine learning, probabilistic modelling, and statistics.

**What is your current role?**

** **I am currently a Turing PDRA in predictive healthcare. We are building prognostic models that allow consideration of “what if” scenarios to explore the effects of interventions, e.g. how would a person’s risk of getting heart attack change if he started or quit smoking now.