26 Sep 2024
The Department of Pure Mathematics of School of Mathematics and Physics at XJTLU is excited to welcome new faculty members, Dr Yuguang Zhang and Dr Stephen Moore.
Dr Yuguang Zhang
Senior Associate Professor
Career
Dr Yuguang Zhang received his PhD in Science from Nankai University in 2006. After graduation, he successively engaged in postdoctoral, lecturer, and associate professor positions at Capital Normal University, Tsinghua University, the University of Bath, and the Gottfried Wilhelm Leibniz Universitaet Hannover, focusing on research and teaching. In addition, he has also visited the University of California, San Diego, the Institute des Hautes Etudes Scientifiques in France, and the Max Planck Institute in Germany.
Module
MTH117 Analysis I
Research interest
Differential geometry, Geometric analysis, Complex geometry etc.
Pure mathematics, theorical research.
Dr Yuguang Zhang's primary research focus is on differential geometry and geometric analysis. His interests primarily encompass Kaehler-Einstein metrics, metric geometry, 4-manifolds, and the interplay between them, particularly the interaction between Ricci-flat Kaehler-Einstein metrics and the algebraic geometric properties of Calabi-Yau manifolds. He also investigates a variety of other topics, such as negatively curved Kähler-Einstein metrics, Kähler-Ricci flow, and 4-manifolds.
He has published over 20 articles in internationally renowned academic journals, including the "Journal of Differential Geometry," "Duke Mathematical Journal," "Geometry and Topology," and "Mathematical Research Letters." These include both collaborative and solo works.
Over the past two decades, he has independently or in collaboration conducted research at an international level. This includes the proof of the Candelas de la Ossa's extremal transitions conjecture (in collaboration with Professor Xiaochun Rong and Professor Mark Gross) and the collapse of Ricci-flat Kahler-Einstein metrics on fibered Calabi-Yau manifolds (in collaboration with Professor Mark Gross and Professor Valentino Tosatti). Some of these achievements have been supported by the National Natural Science Foundation of China, the Beijing Municipal Fund, and the National Education Commission's Visiting Scholar Program.
Dr Stephen Moore
Assistant Professor
Career
I obtained my PhD in mathematics from Cardiff University in Wales, after previously completing a joint Masters degree in mathematics and theoretical physics at the University of St Andrews in Scotland. After my studies, I spent a few months at the Isaac Newton Institute in Cambridge, before undertaking postdoctoral positions at Ben Gurion University of the Negev in Israel, Vrije Universiteit Brussel in Belgium, and the Polish Academy of Sciences.
Module
I am currently teaching MTH107, advanced linear algebra.
I try to be very flexible in my teaching to benefit as many students as possible. So for example I may introduce a topic in the rigorous way expected in advanced mathematics, but at the same time try to add explanations, motivations and examples so that the rigorous approach doesn’t become overwhelming.
Research interest
My research is in the are of representation theory and quantum algebra. I’m also interested in connections and applications to other areas of mathematics, such as operator algebras, mathematical physics, and knot theory.
A lot of the algebraic structures I study were originally defined in physics, with relation to quantum integrable systems and statistical mechanics, and there is currently great interest in finding novel materials whose properties are described by these algebraic structures. Probably the biggest potential application of these materials is a new way of constructing quantum computers, in what is known as topological quantum computation.
Reason to join XJTLU
I like to travel and visit new countries, and have always wanted to visit Asian countries such as China. I thought a position at XJTLU would give me the perfect opportunity to do that, whilst the unique joint UK setup of the university would mean the day-to-day academic life would be more familiar to me and easier to settle into.
Wishes
“Work hard, and always keep learning and trying to improve yourself.”
By Yuguang Zhang and Stephen Moore
Translated by Qinru Liu
26 Sep 2024