Lewis Topley's Homepage

Contact information

Office 431
Archiemedes' tower
Via Trieste, 63
35121-I Padova (Italy)

My email address is my first name followed by "@math.unipd.it"

About me

I am a Marie Curie PISCOPIA fellow in the department of mathematics at the University of Padova. I am interested in Lie algebras, algebraic groups, representation theory in positive characteristics and finite W-algebras.

My current research aims to build the theory of modular finite W-algebras with a view to making progress the representation theory of restricted Lie algebras. A secondary goal will be to relate the representation theory of these two families of algebras to the sheets and decomposition classes of the coadjoint representation. As well as following these two themes my research interests are branching out rapidly and I am starting to research properties of quantum algebras and Poisson algebras.

Publications

``Minimal modules for general linear Lie algebras'', in preparation, joint with Simon Goodwin
``Structure theory for modular finite W-algebras'', in preparation, joint with Simon Goodwin
``Transfer results for free Frobenius extensions'', in preparation, joint with Stephane Launois
``A non-restricted counterexample to the first Kac--Weisfeiler conjecture'', to appear in Proceedings of the American Mathematical Society, (2016)
``Harish-Chandra invariants and the centre of the reduced enveloping algebra'', to appear in the Journal of Pure and Applied Algebra, (2016)
``A Morita theorem for modular finite W-algebras'', to appear in Mathematische Zeitschrift , (2015)
``Centralisers in Classical Lie Algebras'', PhD. Thesis (2014)
``Derived subalgebras of centralisers and finite W-algebras'', Compositio Mathematica, Vol 150, pp. 1485 -- 1548 (2014), joint with Alexander Premet
``Invariants of centralisers in positive characteristic'', Journal of Algebra, Vol 399, pp. 1021--1050 (2014)

view here