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Fakultät für Mathematik

Universität Bielefeld

Postfach 100131

D-33501 Bielefeld

Germany

Telephone: 0049-521-1065025

Telephone (secretary Ms Nopto): 0049-521-1065305

Email: surname at math dot uni minus bielefeld dot de

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 Alexander von Humboldt Foundation's schemes.

- Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A_2, with N. Avni, B. Klopsch and U. Onn, arxiv
- Arithmetic groups, base change, and representation growth, with N. Avni, B. Klopsch and U. Onn, arxiv

- Zeta functions of groups and rings - recent developments. A survey based on a talk at the conference Groups St Andrews 2013, to appear in the conference's proceedings volume, arxiv
- 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, CUP, arxiv

- Normal zeta functions of the Heisenberg groups over number rings I - the unramified case, with M. M. Schein, to appear in J. Lond. Math. Soc., arxiv
- Normal zeta functions of the Heisenberg groups over number rings II - the non-split case, with M. M. Schein, to appear in Israel J. Math., arxiv
- Enumerating classes and characters of
*p*-groups, with E. A. O'Brien, to appear in Trans. Amer. Math. Soc, arxiv - Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B, with A. Stasinski, Amer. J. Math. 136 (2014), 501 -- 550, pdf, arxiv
- A New Statistic on the Hyperoctahedral Groups, with A. Stasinski, Electron. J. Combin. 20, issue 3 (2013), P50, pdf, arxiv
- Representation zeta functions of compact
*p*-adic analytic groups and arithmetic groups, with N. Avni, B. Klopsch and U. Onn, Duke Math. J. 162 (2013), 111-197, pdf, arxiv - Representation zeta functions of some compact
*p*-adic analytic groups, with N. Avni, B. Klopsch and U. Onn, Cont. Math. 566 (2012), 295-330, arxiv - Functional equations for zeta functions of groups and rings, Ann. Math. 172 (2010), 1181--1218, pdf, arxiv
- 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, pdf, arxiv
- Enumerating finite class-2-nilpotent groups on 2 generators, C. R. Math. Acad. Sci. Paris, Ser. I 347 (2009), 1347-1350, pdf, arxiv
- Zeta function of 3-dimensional
*p*-adic Lie algebras, with B. Klopsch, Math. Z. 263, No. 1 (2009), 195--210, pdf, arxiv - 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
- 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, arxiv
- Counting subgroups in a family of nilpotent semidirect products, Bull. London Math. Soc., No. 38 (2006), 743--752, pdf, arxiv
- Normal subgroup growth in free class-2-nilpotent groups, Math. Ann. 332, No. 1 (2005), 67--79, pdf, arxiv
- 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
- Zeta functions of groups and enumeration in Bruhat-Tits buildings, Amer. J. Math. 126 (2004), 1005--1032, pdf, arxiv

- German-Israeli Foundation grant Subgroup and subring growth under base extension (2015-17), jointly with M. M. Schein, Bar-Ilan University, Israel.
- Alexander von Humboldt Foundation, Feodor Lynen Research Fellowship (2015-17) to visit E. A. O'Brien, Auckland, NZ.
- DFG Priority Programme "Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory" 1489 (Grant VO-1248/3-1 "Toroidal methods for computing zeta functions of groups and rings"), 07/2013-06/2016.
- DFG Sonderforschungsbereich 701 (Projects C10 "Local cohomology and support in representation theory" (co-PI with Henning Krause) and C12 "Representation growth of arithmetic groups" (sole PI)), 07/2013-06/2017.
- EPSRC Small Grant EP/H044779/1 (with B. Klopsch, PI) to collaborate with U. Onn, Ben-Gurion University of the Negev, Beersheva, Israel.
- EPSRC Overseas Travel Grant EP/H044779/1 to visit E.A. 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 Laurent 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.

- with E. Detomi, B. Klopsch, A. Lucchini, four-day workshop on Zeta functions of groups and related algebraic structures, 22-25 September 2013 in Padova
- with B. Klopsch, two-day workshop on Asymptotic Group Theory and Model Theory, 26-27 March 2012 at Royal Holloway University of London
- with B. Klopsch, two-day workshop on Representations and Asymptotic Group Theory, 6-7 April 2009 in Southampton
- with N. Avni and U. Onn, I was involved in the organisation of the Batsheva seminar on Representation Growth, 21-26 June 2009 in Sde-Boker, Israel
- From 2007 until 2013 I was involved in the South England Profinite Groups Meetings, a Joint Research Group supported by an LMS Scheme 3 grant

- Matthew Levy, 2014 - present
- Duong Hoang Dung, 2013 - present, funded by DFG Sonderforschungsbereich 701
- Tobias Roßmann, 2011 - present, funded by DFG Priority Programme "Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory" 1489
- Alexander Stasinski, funded by EPSRC First Grant EP/F044194/1, 2009 - 2012, now Lecturer at the University of Durham.

- Michele Zordan, 2010 - present
- Robert Snocken, 2008 - 2012 (degree recommended by examiners in December 2013)

- Vorlesung Algebra 1
- Seminar Local Cohomology (with H. Krause, in English)
- Proseminar Graphentheorie (Restplätze frei; bitte kontaktieren Sie mich bei Interesse)
- Arbeitsgemeinschaft Asymptotische Gruppentheorie

- Vorlesung Lineare Algebra 2
- Vorlesung Lie-Algebren

- Vorlesung Lineare Algebra 1
- Vorlesung Profinite Gruppentheorie

- Vorlesung Lineare Algebra 2
- Proseminar Lineare Algebra
- Arbeitsgemeinschaft Asymptotische Gruppentheorie

- Blockvorlesung "An Introduction to Lie groups and Lie algebras" von Dr. Uri Onn vom 16. - 27. Juli 2012. Teilfinanziert durch dasGastdozentenprogramm der Universität Bielefeld.
- Vorlesung Lineare Algebra 1
- Seminar Kommutative Algebra und Kombinatorik
- (Didaktik-)Seminar / Bachelorarbeit Gruppentheorie
- Arbeitsgemeinschaft Asymptotische Gruppentheorie

- GHR-Vertiefungsvorlesung Gruppen und Symmetrie
- Vorlesung Kommutative Algebra