The Diamant symposium of Fall 2024 will take place on Thursday 21 and Friday 22 November in De Werelt (Lunteren).
Confirmed invited speakers are Krystal Guo (UvA), Jan van de Heuvel (LSE), Erik Jan van Leeuwen (UU) and Alina Ostafe (UNSW Sydney).
How to contribute a talk
PhD students and postdocs are warmly welcomed to submit a contributed talk (15-20 mins.) to the symposium. In the registration form (see below) there is an option to submit title and abstract. Alternatively, after registration, a title and abstract can be sent at a later date.
Conference fee & Accommodation
The symposium hotel is De Werelt in Lunteren. There is full DIAMANT support for DIAMANT members, meaning that we cover lunches and coffee breaks on both days, dinner on Thursday, accommodation, and breakfast on Friday. DIAMANT members are those people listed here, as well as their research group members.
Speakers and abstracts
INVISIBLE
Krystal Guo (University of Amsterdam)
TBA
TBA
Jan van de Heuvel (London School of Economics and Political Science)
TBA
TBA
Erik Jan van Leeuwen (Utrecht University)
TBA
TBA
Alina Ostafe (The University of New South Wales)
On some arithmetic statistics for integer matrices
We consider the set $\mathcal{M}_n(\mathbb{Z}; H))$ of $n\times n$-matrices with integer elements of size at most $H$ and obtain a new upper bound on the number of matrices from $\mathcal{M}_n(\mathbb{Z}; H)$ with a given characteristic polynomial $f \in\mathbb{Z}[X]$, which is uniform with respect to $f$. This complements the asymptotic formula of A. Eskin, S. Mozes and N. Shah (1996) in which $f$ has to be fixed and irreducible. We use our result to address various other questions of arithmetic statistics for matrices from $\mathcal{M}_n(\mathbb{Z}; H)$, eg satisfying certain multiplicative relations. Some of these problems generalise those studied in the scalar case $n=1$ by F. Pappalardi, M. Sha, I. E. Shparlinski and C. L. Stewart (2018) with an obvious distinction due to the non-commutativity of matrices.
Joint works with Kamil Bulinski, Philipp Habegger and Igor Shparlinski.
Sign up for this event
Registration will open soon.