Research group
Postdocs
PhD students
- Hsin-Yi Yang (started September 2023)
Daily supervisor
- Mar Curcó Iranzo (started October 2020)
Daily supervisor
Papers:
1. Rational torsion of generalised modular Jacobians of odd level (ArXiV, 2022).
2. Power values of power sums: a survey (accepted for publication, ArXiV, 2023, with N. Coppola, M. Khawaja, V. Patel, Ö. Ülkem)
3. Perfect powers that are sums of cubes of a nine term arithmetic progression (ArXiV, 2023, with N. Coppola, M. Khawaja, V. Patel, Ö. Ülkem)
For other members of the Rational Points consortium, please consult the consortium website.
- Leonie Scherer (started July 2023)
Second supervisor (Daily supervisor: Jakob Stix)
- Dusan Dragutinovic (started September 2021)
Co-promotor (Promotor: Carel Faber)
Papers:
1. Computing binary curves of genus five (JPAA 2024, ArXiV).
2. Supersingular curves of genus four in characteristic two (Proc. AMS 2024, ArXiV).
3. Ekedahl-Oort types of stable curves (ArXiV, 2023).
4. Oort's conjecture and automorphisms of supersingular curves of genus four (ArXiV, 2024).
![AWS 2024](images/groupatAWS2024.png)
From left to right: Soumya Sankar, Leonie Scherer, Hsin-Yi Yang, Mar Curcó Iranzo, Dusan Dragutinovic, myself.
Master's students
- Mashal Mehr (graduated June 2024)
Thesis title: Arbitrarily large torsion in Tate-Shafarevich groups
- Mees Jager (graduated July 2023)
Thesis title: The inverse Galois problem with prescribed ramification
- Anne Wouda (graduated June 2022)
Thesis title: Supersingular isogeny graphs and orientations in cryptography
- Joost Mein (graduated June 2022)
Thesis title: Entanglement of Galois representations on elliptic curves over Q
- Evie Roebroek (graduated April 2021)
Thesis title: Using class field theory to find function fields with many rational places
Bachelor's students
- Tom Sinke (graduated June 2024)
Thesis title: Het vermoeden van Malle en kransproducten van symmetrische groepen
(Malle's conjecture and wreath products of symmetric groups)
- Javier San Martín (graduated June 2024)
Thesis title: Arboreal representations and a Markov model for factorisation of PCF polynomials
- Ludo van Wieringen (co-supervision with Dirk Schuricht, graduated June 2023)
Thesis title: Spin and the representation theory of rotations
- Marlies Hoeksema (graduated June 2022)
Thesis title: Permutation rational functions over finite fields
- Wijnand van Essen (graduated June 2022)
Thesis title: Gauss factorials of polynomials over finite fields
- Ruben Vink (co-supervision with Marieke van der Wegen, graduated June 2021)
Thesis title: Chip-firing games on graphs
- Emilin van Ruiten (graduated January 2021)
Thesis title: A cryptosystem based on algebraic surfaces
- Fabienne Waanders (graduated January 2021)
Thesis title: Het gebruik van elliptische krommen bij het zetten van een digitale handtekening
(Using elliptic curves for digital signatures)
- Niels van Ee (co-supervision with Damaris Schindler, graduated June 2020)
Thesis title: Upper bounds for progression-free sets
- Emi Weel (co-supervision with Damaris Schindler, graduated June 2020)
Thesis title: Bounds on Diophantine tuples with polynomials