Piotr Bacik
Contact
Emails in decreasing order of preference:- piotr.bacik(at)stcatz.ox.ac.uk
- pbacik(at)mpi-sws.org
- ppbacik(at)gmail.com
About me
I'm a first year DPhil student on the
Oxford-Max-Planck Doctoral Program
(joint with the MPI-SWS institute at Saarland University, Saarbrücken)
under the supervision of Joel Ouaknine
and James Worrell.
My current research interests lie mainly in linear dynamical systems,
in particular the Skolem Problem and questions surrounding zeros of linear recurrence sequences.
Most of my work uses techniques in algebraic number theory,
which mostly involves bashing linear recurrence sequences with a p-adic hammer
until something interesting pops out.
Previously, I completed a Bachelor's and Master's in Mathematics at the University of Cambridge.
If I have kept this up to date, I am currently in Saarbrücken :)
Publications
- On the p-adic Skolem Problem [arxiv]
P. Bacik, J. Ouaknine, D. Purser, J. Worrell
Submitted- On the Complexity of the Skolem Problem at Low Orders [arxiv]
P. Bacik, J. Ouaknine, J. Worrell
Submitted- Completing the picture for the Skolem Problem on order-4 linear recurrence sequences [arxiv]
P. Bacik
Submitted - On the Complexity of the Skolem Problem at Low Orders [arxiv]