Biography

I studied Mathematics as an undergraduate at Gonville and Caius College, Cambridge, and did my PhD at King's College London, under the supervision of Prof. Colin Bushnell. After postdoctoral positions in Paris and Münster, and a junior position in Oxford, I joined the University of East Anglia in 2002.

My research is at the interface of Algebra and Number Theory, in an area known as the local Langlands correspondence. In 2009 I was awarded a five-year EPSRC Leadership Fellowship on “Explicit Correspondences in Number Theory” to work in this area.

I have taught most of the core pure mathematics modules at the UEA, as well as more advanced modules in Algebra and Number Theory. I have supervised, either jointly or solely, five PhD students to completion and am currently supervising five more, at various stages of completion.

I am on the EPSRC Peer Review College and am co-editor of the Bulletin of the London Mathematical Society (2009-14).

Website: http://www.uea.ac.uk/~h008/

Follow this link for details of current PhD opportunities in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.

Career History

  • Apr 2010–Mar 2015, EPSRC Leadership Fellow, University of East Anglia.
  • Aug 2010–, Professor in Pure Mathematics, University of East Anglia.
  • Aug 2007–Jul 2010, Reader in Pure Mathematics, University of East Anglia.
  • Sep 2002–Jul 2007, Lecturer in Pure Mathematics, University of East Anglia.
  • Oct 2000–Aug 2002, Junior Lecturer in Mathematics, Oxford University and Merton College.
  • Jan 2000–Sep 2002, Postdoctoral Researcher, Westfälische Welhelms-Universität, Münster, Germany.
  • Jan 1999–Dec 1999, Postdoctoral Researcher, Université de Paris-Sud, Orsay, France.

Highlighted Publications

See All

Sécherre, V., Stevens, S.

(2016)

Block decomposition of the category of l-modular smooth representations of GL(n,F) and its inner forms,

in Annales Scientifiques de l’École Normale Supérieure

49.

pp. 669-709

UEA Repository

(Article)

(Published)


Miyauchi, M., Stevens, S.

(2014)

Semisimple types for p -adic classical groups,

in Mathematische Annalen

358.

pp. 257-288

Full Text UEA Repository

(Article)

(Published)


Broussous, P., Secherre, V., Stevens, S.

(2012)

Smooth representations of GL_m(D), V: Endo-classes,

in Documenta Mathematica

17.

pp. 23-77

UEA Repository

(Article)

(Published)


Secherre, V., Stevens, S.

(2012)

Smooth Representations of GLm(D) VI: Semisimple Types,

in International Mathematics Research Notices

2012.

pp. 2994-3039

Full Text UEA Repository

(Article)

(Published)


Blondel, C., Stevens, S.

(2009)

Genericity of supercuspidal representations of p-adic Sp4,

in Compositio Mathematica

145.

pp. 213-246

Full Text UEA Repository

(Article)

(Published)


Paskunas, V., Stevens, S.

(2008)

On the realisation of maximal simple types and epsilon factors of pairs,

in American Journal of Mathematics

130.

pp. 1211-1261

Full Text UEA Repository

(Article)

(Published)


Stevens, S.

(2008)

The supercuspidal representations of p-adic classical groups,

in Inventiones Mathematicae

172.

pp. 289-352

Full Text UEA Repository

(Article)

(Published)


Sécherre, V., Stevens, S.

(2008)

Représentations lisses de GLm(D) IV : représentations supercuspidales,

in Journal of the Institute of Mathematics of Jussieu

7.

pp. 527-574

Full Text UEA Repository

(Article)

(Published)


All Publications

See Highlights
<- Page 1 of 2 ->

Sécherre, V., Stevens, S.

(2016)

Block decomposition of the category of l-modular smooth representations of GL(n,F) and its inner forms,

in Annales Scientifiques de l’École Normale Supérieure

49

(3)

pp. 669-709

UEA Repository

(Article)

(Published)


Stevens, S., Ward, T., Zegowitz, S.

(2016)

Halving dynamical systems,

in Contemporary Mathematics

669

Full Text UEA Repository

(Article)

(Published)


Adrian, M., Liu, B., Stevens, S., Xu, P.

(2016)

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n,

in Representation Theory

20

pp. 1-13

Full Text UEA Repository

(Article)

(Published)


Jiang, D., Nien, C., Stevens, S.

(2015)

Towards the Jacquet conjecture on the local converse problem for p-adic GL(n),

in Journal of the European Mathematical Society

17

(4)

pp. 991-1007

Full Text UEA Repository

(Article)

(Published)


Miyauchi, M., Stevens, S.

(2014)

Semisimple types for p -adic classical groups,

in Mathematische Annalen

358

(1-2)

pp. 257-288

Full Text UEA Repository

(Article)

(Published)


Baier, S., Jaidee, S., Stevens, S., Ward, T.

(2013)

Automorphisms with exotic orbit growth,

in Acta Arithmetica

158

pp. 173-197

Full Text UEA Repository

(Article)

(Published)


Broussous, P., Secherre, V., Stevens, S.

(2012)

Smooth representations of GL_m(D), V: Endo-classes,

in Documenta Mathematica

17

pp. 23-77

UEA Repository

(Article)

(Published)


Secherre, V., Stevens, S.

(2012)

Smooth Representations of GLm(D) VI: Semisimple Types,

in International Mathematics Research Notices

2012

(13)

pp. 2994-3039

Full Text UEA Repository

(Article)

(Published)


Jaidee, S., Stevens, S., Ward, T.

(2011)

Mertens' theorem for toral automorphisms,

in Proceedings of the American Mathematical Society

139

(5)

pp. 1819-1824

Full Text UEA Repository

(Article)

(Published)


Everest, G., Miles, R., Stevens, S., Ward, T.

(2010)

Dirichlet series for finite combinatorial rank dynamics,

in Transactions of the American Mathematical Society

362

(1)

pp. 199-227

Full Text UEA Repository

(Article)

(Published)


Everest, G., Ingram, P., Stevens, S.

(2009)

Primitive divisors on twists of the Fermat cubic,

in LMS Journal of Computation and Mathematics

12

pp. 54-81

UEA Repository

(Article)

(Published)


Broussous, P., Stevens, S.

(2009)

Buildings of classical groups and centralizers of Lie algebra elements,

in Journal of Lie Theory

19

(1)

pp. 55-78

UEA Repository

(Article)

(Published)


Blondel, C., Stevens, S.

(2009)

Genericity of supercuspidal representations of p-adic Sp4,

in Compositio Mathematica

145

(01)

pp. 213-246

Full Text UEA Repository

(Article)

(Published)


Everest, G., Ingram, P., Mahé, V., Stevens, S.

(2008)

The uniform primality conjecture for elliptic curves,

in Acta Arithmetica

134

(2)

pp. 157-181

Full Text UEA Repository

(Article)

(Published)


Paskunas, V., Stevens, S.

(2008)

On the realisation of maximal simple types and epsilon factors of pairs,

in American Journal of Mathematics

130

(5)

pp. 1211-1261

Full Text UEA Repository

(Article)

(Published)


Stevens, S.

(2008)

The supercuspidal representations of p-adic classical groups,

in Inventiones Mathematicae

172

(2)

pp. 289-352

Full Text UEA Repository

(Article)

(Published)


Sécherre, V., Stevens, S.

(2008)

Représentations lisses de GLm(D) IV : représentations supercuspidales,

in Journal of the Institute of Mathematics of Jussieu

7

(03)

pp. 527-574

Full Text UEA Repository

(Article)

(Published)


Everest, G., Miles, R., Stevens, S., Ward, T.

(2007)

Orbit-counting in non-hyperbolic dynamical systems,

in Journal für die reine und angewandte Mathematik (Crelles Journal)

2007

(608)

pp. 155-182

Full Text UEA Repository

(Article)

(Published)


Everest, G., Reynolds, J., Stevens, S.

(2007)

On the denominators of rational points on elliptic curves,

in Bulletin of the London Mathematical Society

39

(5)

pp. 762-770

Full Text UEA Repository

(Article)

(Published)


Everest, G., Stevens, S., Tamsett, D., Ward, T.

(2007)

Primes generated by recurrence sequences,

in American Mathematical Monthly

114

(5)

pp. 417-431

UEA Repository

(Article)

(Published)


<- Page 1 of 2 ->

Key Research Interests

The main focus of my research is at the interface of two areas of Pure Mathematics: Representation Theory, which seeks to understand groups via their actions on vector spaces - that is, to see the different ways in which abstract groups can be thought of as matrix groups; and Number Theory, which seeks, amongst other things, to understand the integers, the rational numbers, and numbers which are roots of integer polynomials. The bridge which joins these two areas is given by the Langlands Correspondence, which is actually a broad web of (mostly) conjectures connecting global fields (for example, finite extensions of the rationals) to the representation theory of certain groups (more precisely, to automorphic representations).  

My research has concentrated on understanding the Representation Theory side of this correspondence (or rather, a local version of it) in a very explicit way, the hope being that this may eventually allow one to make the correspondence explicit. This has already been done in many cases for the full group of invertible matrices; however, for other groups, notably the orthogonal and symplectic groups, although the correspondence is now known to exist, there is no explicit version.

RESEARCH KEYWORDS:

Number Theory; Representation theory; representations of p-adic groups; local Langlands conjectures; Hecke algebras; buildings.

External Activities and Indicators of Esteem

  • Editor of the Bulletin of the London Mathematical Society (2009-14).
  • Member of the EPSRC Peer Review College (2010-present).