Research group

Postdocs

Soumya Sankar (started September 2023)

PhD students

• Anouk Eggink (started September 2024)
  Daily supervisor
• 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 (Women in Numbers Europe 4, Springer, 2024, ArXiV, 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)
  4. Conductor exponents for families of hyperelliptic curves (ArXiV, 2024, with M. Azon, M. Khawaja, C. Maistret, D. Mocanu)

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).

From left to right: Soumya Sankar, Leonie Scherer, Hsin-Yi Yang, Mar Curcó Iranzo, Dusan Dragutinovic, myself.

Master's students

• René Bruin (started September 2024)
• 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

• Jonna van Liempt (co-supervision with Rogier Bos and Dirk Schuricht, started September 2024)
• 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