Christopher Voll, PhD (cantab)

Welcome to this page. I am a Reader in Pure Mathematics at the University of Southampton.

Contact

CV

Research

I welcome enquiries about possible PhD projects from suitably qualified candidates. I am also happy to consider sponsoring postdoc applications, e.g. under the Marie Curie Actions or the Newton Fellowship scheme.

Papers (submitted for publication)

1. Representation zeta functions of some compact p-adic analytic groups, with N. Avni, B. Klopsch and U. Onn, arxiv.
2. Representation zeta functions of compact p-adic analytic groups and arithmetic groups, with N. Avni, B. Klopsch and U. Onn, arxiv.

Book chapters

1. A newcomer's guide to zeta functions of groups and rings, in B. Klopsch, N. Nikolov, C. Voll, Lectures on profinite topics in group theory, editor D. Segal, London Mathematical Society Student Texts 77, Cambridge University Press, 2011, see CUP, also arxiv.
2. Zeta functions of groups - singular pfaffians, in Essays in Geometric Group Theory, editor N. S. N. Sastry, Ramanujan Mathematical Society Lecture Notes Series, No. 9, 2009, see also arxiv.

Papers (published or accepted for publication)

1. On representation zeta functions of groups and a conjecture of Larsen-Lubotzky, with N. Avni, B. Klopsch and U. Onn, C. R. Math. Acad. Sci. Paris, Ser. I 348 (2010), 363--367, arxiv.
2. Enumerating finite class-2-nilpotent groups on 2 generators}, C. R. Math. Acad. Sci. Paris, Ser. I 347 (2009), 1347-1350 arxiv.
3. Zeta function of 3-dimensional p-adic Lie algebras, with B. Klopsch, Math. Z. 263, No. 1 (2009), 195--210, pdf, arxiv.
4. Functional equations for zeta functions of groups and rings, to appear in Ann. of Math., pdf, arxiv.
5. Igusa-type functions associated to finite formed spaces and their functional equations, with B. Klopsch, Trans. Amer. Math. Soc. 361 (2009), 4405--4436, pdf, arxiv.
6. Counting subgroups in a family of nilpotent semidirect products, Bull. London Math. Soc., No. 38 (2006), 743--752, pdf, arxiv.
7. Normal subgroup growth in free class-2-nilpotent groups, Math. Ann. 332, No. 1 (2005), 67--79, pdf, arxiv.
8. Functional equations for local normal zeta functions of nilpotent groups, with an appendix by A. Beauville, Geom. Func. Anal. (GAFA) 15 (2005), 274--295, pdf, arxiv.
9. Zeta functions of groups and enumeration in Bruhat-Tits buildings, Amer. J. Math. 126 (2004), 1005--1032, pdf, arxiv.

Grants

• EPSRC Small Grant EP/H044779/1 (with B. Klopsch, PI) to collaborate with Uri Onn, Ben-Gurion University of the Negev, Beersheva, Israel.
• EPSRC Overseas Travel Grant EP/H044779/1 to visit Eamonn O'Brien, Auckland, NZ.
• EPSRC Small Grant EP/G055408/1 (with B. Klopsch) for workshop Representations and Asymptotic Group Theory, 6-7 April 2009 in Southampton.
• EPSRC First Grant EP/F044194/1 "Zeta functions of groups and rings and Igusa's local zeta function", 04/2009-03/2012.
• Nuffield Foundation Newly Appointed Lecturers Grant, 09/2006-04/2009.
• Royal Society Outgoing Short Visits grant to visit E. O'Brien (Auckland, NZ) and B. Martin (Christchurch, NZ), 07/2008.
• Fonds National Suisse Individual Short Visit to visit L. Bartholdi (then EPFL, Switzerland), 03-04/2006.
• Max-Planck-Institut für Mathematik, Bonn, Weiterbildungsstipendium, 10/2005-03/2006.
• Deutsche Forschungsgemeinschaft Forschungsstipendium, Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, 10/2004-09/2005.
• EPSRC Postdoctoral Fellowship in Mathematics GR/R93827/01 "Bruhat - Tits buildings and functional equations of zeta functions of nilpotent groups", Mathematical Institute, University of Oxford, 10/2002-09/2004.

Research group

Meetings organised

• With Benjamin Klopsch, I organised a two-day workshop on Representations and Asymptotic Group Theory, 6-7 April 2009 in Southampton.
• With Nir Avni and Uri Onn, I was involved in the organisation of the Batsheva seminar on Representation Growth, 21-26 June 2009 in Sde-Boker, Israel.

Postdoc

• Alexander Stasinski, funded by EPSRC First Grant EP/F044194/1, 2009 - 2012

PhD students

• Robert Snocken, 2008 - present
• Michele Zordan, 2010 - present

Teaching and administration