# Simon Wadsley's homepage

## Status

I am a College Teaching Officer and fellow of Homerton College, Cambridge where I also direct studies for the Maths students. I am also an affiliated lecturer under the Newton Trust scheme.
My CV can be found here
## Research interests

My research interests are in non-commutative algebra. I use techniques from representation theory, group theory, geometry, homological algebra and non-archimedean analysis to better understand the theory of modules for classes of Noetherian algebras.
## Papers and Preprints

- D-modules on rigid analytic spaces II, with K. Ardakov, this version posted 7th August 2015 pdf
- D-modules on rigid analytic spaces I, with K. Ardakov, this version posted 7th August 2015 pdf
- Verma modules for Iwasawa algebras are faithful, with K. Ardakov Münster Journal of Mathematics 7 (2014) 5-26 pdf ps
- On irreducible representations of compact p-adic analytic groups, joint with K. Ardakov Annals of Mathematics 178 (2013), no. 2 453-557 pdf
- Euler Characteristics, Akashi series and compact p-adic Lie groups Proceedings of the American Mathmatical Society 138 (2010), no. 10 3455-3465 ps pdf
- On the Cartan map for crossed products and Hopf-Galois extensions, joint with K. Ardakov, Algebras and Representation Theory 13 (2010), no. 1 33-41 ps pdf
- Gamma-invariant ideals in Iwasawa algebras, joint with K. Ardakov, Journal of Pure and Applied Algebra 213 (2009), 1852-1864 ps pdf
- K_0 and the dimension filtration for p-torsion Iwasawa modules, joint with K. Ardakov, Proceedings of the London Mathematical Society 97 (2008) 31-59 ps pdf
- A Bernstein-type inequality for Heisenberg pro-p groups Quarterly Journal of Mathematics 58 (2007), 265-277 ps pdf
- Characteristic elements for p-torsion Iwasawa modules, joint with K. Ardakov Journal of Algebraic Geometry 15 (2006) 339-377 ps pdf
- Homogeneity and Rigidity of the Brookes-Groves invariant for the non-commutative torus Journal of Algebra 297 (2006) 417-437 ps pdf
- Polyhedrality of the Brookes-Groves invariant for the non-commutative torus Journal of Algebra 293 (2005), 543-560 ps pdf

## Teaching

Comments/corrections on any of the notes or examples sheets below are welcome
### Michaelmas 2015: IB Linear Algebra

My notes for the first twenty-two lectures pdf. These notes will not be updated after every lecture but I hope to update them at least once a week.
Examples Sheets 1 2 3 4

### Michaelmas 2014: IB Linear Algebra

My notes pdf.
Examples Sheets 1 2 3 4

### Michealmas 2012: IID Representation Theory

My notes for the first twenty-three lectures pdf.
Examples Sheets 1 2 3 4

### Lent 2012: IID Representation Theory

My lecture notes for the course: pdf.
Examples Sheets 1 2 3 4