Yuri Bazlov

Lecturer Pure Mathematics

Yuri Bazlov

I champion clarity and precision, and I enjoy seeing how my teaching helps students to develop their critical thinking skills.

 

How would you summarise your research?

My area of research is representation theory. This topic aims to realise an algebraic structure, such as a group, explicitly as a collection of symmetries of a space or a manifold. Representation theory is beautiful in its own right and provides ways to harness the power of abstract algebra in physics and natural sciences. 

My research mainly concerns Hopf algebras. They can be thought of as symmetries of a quantum space and are often called 'quantum groups'. This is an area of modern algebra largely inspired by theoretical physics. I am especially interested in using representations of Hopf algebras to obtain new results in group theory and Lie theory.

What do you think makes the School distinctive?

We are made distinctive by our extremely high level of expertise in both pure and applied mathematics.

What do you enjoy most about teaching?

I champion clarity and precision, and I enjoy seeing how my teaching helps students to develop their critical thinking skills.

How do you make your teaching up-to-date, innovative and inspirational?

My belief is that teaching should be informed by research and should aim to communicate the beauty of mathematics. I show the students how mathematical software can help to master abstract concepts, and I use computer-based quizzes for both practice and assessment.

What do you enjoy most about research?

I enjoy the freedom to do things that I am passionate about.

What have been the highlights of your career?

Speaking at the Joint Mathematics Meeting in Boston, USA - a conference attended by 7,000 delegates.

When a student completes their course, what for you are the measures of success?

A successful graduate is someone who can use the skills they have gained at the University to do the work they enjoy doing.



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