# Uri Onn

Senior Research Fellow

ARC Future Fellow

John Dedman Building 2158

*+61 2 6125 0023*

## Publications

- Arithmetic groups, base change, and representation growth, with N. Avni, B. Klopsch and C. Voll, Geom. Funct. Anal. 26 (2016), no. 1, 67-135.
- Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A
_{2}, with N. Avni, B. Klopsch and C. Voll, Proc. Lond. Math. Soc. (3) 112 (2016), no. 2, 267-350. - On the unramified principal series of GL(3) over non-archimedean local fields, with P. Singla, J. Algebra 397, 1-17 (2014).
- Uniform cell decomposition and applications to Chevalley groups, with M. Berman, J. Derakhshan and P. Paajanen, J. Lond. Math. Soc. (2) 87, no. 2, 586-606 (2013).
- Representation zeta functions of compact p-adic analytic groups and arithmetic groups, with N. Avni, B. Klopsch and C. Voll, Duke Math. J. 162 (2013), no. 1, 111-197.
- Representation zeta functions of some compact p-adic analytic groups, with N. Avni, B. Klopsch and C. Voll, Zeta functions in algebra and geometry, 295-330, Contemp. Math., 566 (2012).
- On some geometric representations of GL(n,O), with U. Bader, Comm. Algebra 40, no. 9, 3169-3191(2012).
- Geometric Interpretation of Murphy Bases and an Application, with P. Singla, J. Pure Appl. Algebra 216, 314-322 (2012).
- On representation zeta functions of groups and a conjecture of Larsen-Lubotzky, with N. Avni, C. Voll and B. Klopsch, C. R. Math. Paris 348 (2010), no. 7-8, 363–367.
- On cuspidal representations of general linear groups over discrete valuation rings, with A-M. Aubert, A. Prasad and A. Stasinski, Israel J. Math. 175 (2010), 391–420.
- Similarity classes of 3-by-3 matrices over a local principal ideal ring, with N. Avni, A. Prasad and L. Vaserstein, Comm. Algebra 37 (2009), no. 8, 2601–2615.
- Representations of automorphism groups of finite O-modules of rank two, Adv. Math. 219 (2008), no. 6, 2058-2085.
- Geometric representations of GL(n, R), cellular Hecke algebras and the embedding problem, with U. Bader, J. Pure Appl. Algebra 208, 905-922 (2007).
- LU factorizations, q=0 limits, and p-adic interpretation of some q-hypergeometric orthogonal polynomials, with T. Koornwinder, Ramanujan J. 13, no. 1-3, 365–387 (2007).
- Quantum dimensions and their non-Archimedean degenerations, with J. Stokman, IMRP Int. Math. Res. Pap., Art. ID 54701, 53 pp. (2006).
- A note on the Bruhat decomposition of GL(n) over local principal rings, with A. Prasad and L. Vaserstein, Comm. Algebra 34, 4119–4130 (2006).
- From p-adic to real Grassmannians via the quantum, Adv. Math. 204, 152-175 (2006).
- On a projective version of Maranda’s theorem, with Y. Ginosar, Proc. RTRA conference, Murcia, Spain 189-193 (2000).
- Projective representations and relative semisimplicity, with E. Aljadeff and Y. Ginosar, J. Algebra 217, 249-274 (1999).