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Education

Courses taught by members of the group on a regular basis

Bachelor courses in mathematics

Master courses in mathematics, e.g. in the Specialization Number Theory and Algebraic Geometry:

We take part in the Research Seminar in Mathematics. In 2024/25, we're organizing a learning seminar on Riemann surfaces together with the DSGMP group. In addition, we run a weekly research group seminar.

Members of the group also teach various service courses.

Bachelor and Master topics in the Research Group

If you are interested in a Bachelor or Master project in one of the research areas of our group, contact one of the faculty members of the group for specific topics.

Recent Master theses in our group

You can find these here.

  • Schipper, Floor (2024) Kontsevich (micro-)graph invariants in the geometry of Nambu-Poisson brackets: their nature and constraints.
  • Veltman, Niek (2024) Arakelov and Minkowski Theory for S-Integers.
  • Pruim, Jefta (2024) Is there a fake function field analogue for the Ankeny-Artin-Chowla Conjecture?
  • Dijk, Ruben van (2024) On Howard's Kolyvagin systems for residue characteristic 2.
  • Straaten, M.A. van (2024) Vertical Brauer Elements on del Pezzo Surfaces of degree 3.
  • Posthumus, Max (2023) Computing the torsion subgroup of Jacobian surfaces over number fields.
  • Bootsma, Sven (2023) On Certain Elliptic Surfaces With j-Invariant Zero Over Prime Fields of Positive Characteristic
  • Trip, Manoy (2022) A naive p-adic height function on the Jacobians of curves of genus 2.
  • Harmke van der Laan (2022) The CM class number one problem for sextic CM-fields with Galois group (C_2)^3 ⋊ C_3.
  • Dogger, Floor (2021) Classifying abelian threefolds of p-rank 0, 1, 2 and 3.
  • Kok, Willem Adriaan, de (2021) The relation between Feynman diagrams and Kontsevich graphs in non-commutative star products.
  • Tuijp, Anne (2021) McEliece variation under attack: Cryptanalysis of a public key cryptosystem based on algebraic geometry codes.
  • Berno Reitsma (2020) Computing the rational torsion subgroup of Jacobians of hyperelliptic curves.
  • Dwarshuis, Arjan (2020) Finding a pointless rational genus one curve with specified automorphism group.
  • Evink, Tim (2020) Two-descent on hyperelliptic curves of genus 2.
  • Groen, Steven (2019) Descent by 3-isogeny on elliptic curves.
  • Mak, Richard (2019) The generating series of a walk in the quarter plane.
  • Westerbeek, Roosje (2019) Belyi's Theorem in Characteristic Two.
  • Los, Leendert (2018) On finding imaginary quadratic fields where the class group has higher p-rank.
  • Roelfszema, Majken (2018) Finite groups of automorphisms on genus one curves without rational points.

Recent Bachelor theses in our group

You can find many of these here.

  • Colella, Davide (2024) Integer Factorization via Order Finding
  • Crane, Harry (2024) Normal closure and Galois group of some field extension of F2 and good error correcting codes
  • Giadresco, Naná (2024) Fruit puzzle and 2-isogeny descent
  • Goossens, Lenie (2024) Generalisation of Stange's Algorithm.
  • Haan, Tim de (2024) On authenticated key exchange protocols based on supersingular isogenies
  • Janssen, Jasper (2024) Computation of lambda-invariants of certain p-adic L-functions
  • Letina, Katrina (2024) Computation of polynomials generating abelian and GL(2, Fp) extensions of Q
  • Olszewski, Jerzy (2024) An Introduction to Arithmetic Dynamics and Lattès Maps
  • Paxton, Laura Gioanna (2024) A Cryptosystem Based on the Weil Pairing on an Elliptic Curve
  • Sikkema, Djurre Germ (2024) Probable primality testing for Wagstaff primes
  • Haastert, Jeroen van (2023) CM-fields of degree 8 and their applications
  • Hattum, Mariska van (2023) Brauer groups and the Brauer-Manin obstruction
  • Langelaan, Emiel (2023) Local and global solvability of systems of quadratic forms
  • Nomden, Stef (2023) Modular curves of genus one and their associated period lattices
  • Pudowski, Krzysztof Jan (2023) Usage of lattices in fully homomorphic encryption
  • Ree, Tijmen van der (2023) Category Theory, Watts’ Theorem and Homological Algebra
  • Villegas Sanabria, Ana (2023) Reed-Solomon and Goppa codes
  • Wiersema, Laurens (2023) Elliptic curves with Q-rational points of order n
  • Bruijn, Anna de (2022) Extremal rational elliptic surfaces with semi-stable fibers.
  • Devetak, Mitja (2022) Explicit Realization of Dihedral Galois Groups over Q.
  • Disselkamp, Kaya (2022) The supersingular isogeny Diffie-Hellman key exchange.
  • Klijn, Wouter (2022) Points of order 3 on elliptic curves in characteristic 3.
  • Kroon, Gerbrich (2022) Locally Recoverable Codes with Availability, A construction for a Locally Recoverable Code with Availability using fiber products.
  • Marjanovic, Luka (2022) An algebraic method for solving the Boolean Satisfiability Problem in Łukasiewicz logic.
  • Pruim, Jefta (2022) Finding units in Z[X]/(f) for f cubic, monic irreducible with one real root.
  • Sibma, Lisanne (2022) Bézout's theorem in P^1 x P^1.
  • Smeding, Yolanthe (2022) Decoding cyclic codes using Gröbner bases.
  • Tielman, Bo Boy (2022) The Nimbers.
  • Veltman, Niek (2022) Linear Relations for Multiple Zeta Values.
  • Davies-Batista, Dewi (2021) Efficient and secure elliptic curves.
  • Dijk, Ruben van (2021) Computing Arakelov–Green Functions on Metrized Graphs.
  • Harten, Hanneke van (2021) The quadratic reciprocity law - Proofs and generalizations.
  • Stratou, Nefeli (2021) Brauer groups of fields and quaternion algebras.
  • Bachorikova, Lenka (2020) Sextic CM-fields with Galois group (C_2)^3 ⋊ C_3 or (C_2)^3 ⋊ S_3.
  • Bootsma, Sven (2020) Mordell’s Theorem Over Rational Function Fields Via Descent by 3-Isogeny.
  • Dijk, Thomas (2020) Sieving on elliptic curves.
  • Doman, Noah (2020) The Identity of the Abelian Sandpile Group.
  • Drummond, Errol (2020) Investigation of the Circle Method: its origin and some applications.
  • Eelkema, Dominic (2020) Integer Factorisation using Conics.
  • Hoexum, Eline (2020) Revisiting the proof of the complexity of the sudoku puzzle.
  • Hofman, Sven, S. J. (2020) The Discrete Logarithm Problem on Anomalous Elliptic Curves.
  • Kerkhove, Sylvia (2020) Drawing the Kontsevich Graphs in LaTeX.
  • Laméris, C.L. (2020) (Non-)integrability of Hamiltonian systems via differential Galois theory and the Painlevé property.
  • Meer, Robert van der (2020) Zeros of the Zeta Function.
  • Reitsma, Theunis (2020) Numerically testing the Riemann hypothesis.
  • Smit, Roelien (2020) The Discrete Logarithm Problem on Supersingular Elliptic Curves.
  • Tijssen, Jada R (2020) Solving the All Pairs Shortest Path Problem using Tropical Arithmetic.
  • Visser, J (2020) Schoof's algorithm: Point counting on elliptic curves.
  • Xu, Jinsheng (2020) Wallpaper Groups.
  • Zhang, Jiayi (2020) Galois groups and monic polynomials in Z[x] of degrees at most 6.
  • Cats, Sven (2019) Applying 2-descent on elliptic curves to prove the non-existence of a certain triangle-rhombus pair.
  • Dogger, Floor (2019) Computing class numbers of orders in imaginary quadratic fields.
  • de Groot, Maarten (2019) The strong relation between, the Path Integral in Quantum Mechanics and the Gaussian Integral.
  • Greven, Anouk (2019) Singular Quartics of Genus One.
  • Kleinsmit, Alexander (2019) Probability of magnon decay when scattering off of magnetic domain walls.
  • Modderman, Robert (2019) Weighted Greatest Common Divisors.
  • Wouda, Anne (2019) Mordell's theorem for elliptic curves over rational function fields.
  • Gamboa Quintero, Guillermo (2018) Analysis of Kneser's Root Finding Algorithm for Polynomials in a Constructive Setting.
  • Jager, Robert Jan de (2018) Proofs of Transcendence.
  • Koolstra, Jori (2018) An application of Tauber theory: proving the Prime Number Theorem.
  • Los, Aarnout (2018) Constructing curves with many points over finite fields using coverings of curves with lower genus.
  • Mifsud, Paul (2018) Knot Theory, The Jones Polynomial and Chern-Simons Theory.
  • Mintjes, Maarten (2018) The Proof of Dirichlet’s Theorem on Arithmetic Progressions and its Variations.
  • Nijhof, Corine (2018) Underlying mathematical structures in Aristotelian Diagrams.
  • Pomstra, Gertjan (2018) The Constant of Champernowne.
  • Rutten, N. J. (2018) Unoriented and oriented Kontsevich graph cocycles: Finding infinitesimal deformations of Poisson structures.
  • Speek, R. (2018) Robot Mathematician Solves Nine Simultaneous Equations.
  • Trip, Manoy (2018) Torsion subgroups of elliptic curves over algebraic field extensions of Q.
  • van Oppen, Yulan (2018) Proving (in)dependence of rational points on elliptic curves.
  • van der Laan, Harmke (2018) Supersingular Isogeny Diffie-Hellman: Finding the Distribution of the Secret Key by Computation of Brandt Matrices.