# Simon Wadsley's homepage

## Status

I am an Associate College Professor and Fellow of Homerton College, Cambridge where I also direct studies for the Maths students. I am also an Affiliated Lecturer in the University of Cambridge.
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

- Global sections of equivariant line bundles on the p-adic upper half plane (on ArXiv), with K. Ardakov pdf
- Equivariant line bundles with connection on the p-adic upper half plane (on ArXiv), with K. Ardakov pdf
- D-modules on rigid analytic spaces III: weak holomonicity and operations, with K. Ardakov and A. Bode Compositio Mathematica 157 (2021) Issue 12 2553-2584 pdf
- D-modules on rigid analytic spaces II:Kashiwara Equivalence, with K. Ardakov Journal of Algebraic Geometry 27 (2018) 647-701 pdf
- D-modules on rigid analytic spaces I, with K. Ardakov Journal für die reine und angewandte Mathematik 747 (2019) 221-276 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 2023: IID Representation Theory

Lecture notes pdf

Examples Sheets 1 2 3 4

### Michaelmas 2022: IID Representation Theory

Lecture notes pdf.

Examples Sheets 1 2 3 4

### Michaelmas 2021: IID Representation Theory

Lecture notes pdf.

Examples Sheets 1 2 3 4

### Michaelmas 2019: IID Representation Theory

For some lecture notes for this course see either set of my notes from 2012 below. I will be loosely following these whilst preparing these lectures but will not be further updating the printed notes.
Examples Sheets 1 2 3 4

### Lent 2019: III Iwasawa Algebras

My notes for the first twenty-three lectures pdf. The final lecture will be on non-examinable material and will not be typed up.
Examples Sheets 1 2 3 4 Note the correction to the final question of Sheet 4 after the printed versions were circulated.

### Michaelmas 2017: IA Groups

My notes pdf. Another version with all the proofs removed pdf.
Examples Sheets 1 2 3 4

### Michaelmas 2016: IB Linear Algebra

My notes pdf
Examples Sheets 1 2 3 4

### Michaelmas 2015: IB Linear Algebra

My notes pdf.
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