Welcome!

As of September 2022, I am a PhD candidate at the Mathematical Institute of Utrecht University, working under the supervision of Gunther Cornelissen. In September 2026, I will start with a postdoc at the Max Planck Institute in Bonn.

My research interests lie in number theory, in particular the algebraic structure and Mahler measures of (random) polynomials.

On May 26, 2026, I defended my PhD thesis titled Randomness and symmetry of polynomials. An online copy can be found here.

Research

Relating Mahler measures and Dirichlet L-values: new evidence for Chinburg's conjectures
With Mahya Mehrabdollahei and Berend Ringeling
Submitted. arXiv:2603.20820
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
To appear in Proceedings of the London Mathematical Society
arXiv:2507.09303
Topology of zero sets of polynomials with square discriminant
C. R. Math. Acad. Sci. Paris 364 (2026), pp. 101-106. journal
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
Isr. J. Math. (2026). journal
arXiv:2301.05656

Contact

d.p.t.hokken (at) uu (dot) nl

Hans Freudenthalgebouw, room 7.03

Budapestlaan 6, 3584 CD Utrecht

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