Nicolas Dupré

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I am a PhD student (started October 2014) in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. My research supervisor is Dr Simon Wadsley.

I am a member of Girton College, where I've also taken my undergraduate degree and Part III. Girton is an absolutely lovely place, but sadly it is a bit far from the centre of Cambridge and many students never go there. That's a shame as it is a very beautiful college.

Here's a link to my Part III Essay on subgroups of linear algebraic groups, which I wrote under the supervision of Dr David Stewart. There may or may not be typos in it.

Teaching

Since the start of my PhD, I have supervised Cambridge third year undergraduates for the courses "Representation Theory", "Galois Theory", "Number Theory" and "Coding and Cryptography". In addition, I am also supervising second year students on Linear Algebra this year (2016-17).

I wrote this in an attempt to explain Mackey theory to my students.

In October 2015 I gave a two-hour "Catch-up Workshop" on Representation Theory to new Part III students (basically it was a lecture covering background material). Here are notes for this, along with exercises.

In November 2014, I supervised a student for the Part III course "Commutative Algebra". This year (2016-2017), I gave example classes to Part III students for the course "Lie Algebras and their Representations".

Postgraduate Group Theory Conference

I am one of the co-organisers for the Postgraduate Group Theory Conference 2017. It is a conference aimed at PhD students in group/representation theory.

Research Interests

I am an algebraist working in representation theory over p-adic fields. More specifically, I study representations of certain completions of quantum groups when working over non-archimedean fields, using techniques and/or ideas from non-commutative algebra, group theory, homological algebra, non-archimedean analysis and rigid geometry.

Contact Information

Department of Pure Mathematics and Mathematical Statistics
Centre for Mathematical Sciences
Wilberforce Road
Cambridge
CB3 0WB
United Kingdom

Many thanks to Matthew Cheetham for improving my code for this webpage.