As of September 2022, I am a PhD candidate at the Mathematical Institute of Utrecht University, working under the supervision of Gunther Cornelissen.
My research interests lie in number theory, in particular the algebraic structure and Mahler measures of (random) polynomials.
Research
Irreducibility and Galois groups of random reciprocal polynomials of large degree
With Dimitris Koukoulopoulos
Submitted. arXiv:2510.18857
The asymptotic Mahler measure of Gaussian periods
With Gunther Cornelissen and Berend Ringeling
Submitted. arXiv:2507.09303
Topology of zero sets of polynomials with square discriminant
To appear in C. R. Math. Acad. Sci. Paris. arXiv:2412.08815
Irreducibility of Littlewood polynomials of special degrees
With Lior Bary-Soroker, Gady Kozma, and Bjorn Poonen
Int. Mat. Res. Not. IMRN 2025, no. 21, rnaf326. journal arXiv:2308.04878
Counting (skew-)reciprocal Littlewood polynomials with square discriminant
To appear in Israel J. Math. arXiv:2301.05656
Contact
d.p.t.hokken (at) uu (dot) nl
Hans Freudenthalgebouw, room 7.03
Budapestlaan 6, 3584 CD Utrecht