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Students
PhD Students
- Marcus Wagner, Endomorphism rings of jacobian varieties via correspondences, 2008.
- Thorsten Lagemann, Asymptotics of Galois extensions: Wildly ramified abelian extensions of global function fields, 2010.
- Moritz Minzlaff, Zeta functions of curves over finite fields: Frobenius-stable lattices in the rigid cohomology of curves, 2013.
- Gerriet Möhlmann, Mordell-Weil groups and S-integral points of elliptic curves over function fields, 2014.
- Keno Eilers, Explicit formulae for higher genus hyperelliptic curves, 2018. Published papers out of this see here.
- Matthias Junge, Asymptotically Fast Arithmetic in the Picard Group of Algebraic Curves & Related Topics, 2022.
- Dietrich Kuhn, Recursive towers over finite fields, 2022..
- Konstantin Meiwald, Algorithms for Picards groups.
Diploma and Master Students
- Anita Krahmann, Computation of isogenies between elliptic curves over finite fields, 2007.
- Adolphe Elvis Lontchi, Application software protection against reverse engineering and illegal copy, 2007.
- Patrick Schweitzer, Pairing friendly elliptic and hyperelliptic curves, 2008.
- Anika Frischwasser, Efficient Pairings, 2008.
- Gerriet Möhlmann, Embedding algorithms for function fields, 2008.
- Markus Böttle, Zeta functions of g=3 curves over finite fields via the Cartier operator, 2008.
- Robert Klinzmann, Normalisation and blow ups of arithmetic surfaces, 2009
- Maike Massierer, Aspects of class field theory for global function fields, 2009.
- Jens Bauch, computation of divisor class groups via the Tate-Lichtenbaum pairing, 2009.
- Juliane Krämer, Algorithms for invertible ideals in rings of dimension two, 2010.
- Michael Mertke, Irregular primes for base extensions of curves, 2010.
- Stefan Hellbusch, Riemann-Roch Theory on Graphs and further topics, 2014.
- Maria Trei, Computational Aspects of L-series and Zeta functions of abelian extensions of global function fields, 2015.
- Matthias Junge, Asymptotically fast algorithms for Jacobians of algebraic curves, 2016.
- Dietrich Kuhn, Recursive towers of function fields, 2017.
- Linda Feeken, Fourier Analysis on Locally Compact Abelian Groups and Applications, 2017.
- Johanna Kenkel, Motzkin sets and euclidean number rings, 2017.
- Philipp Schläger. Deterministic canonical curves and applications, 2021.
- Lara Bargmann. Euclidean number rings - on a theorem of Weinberger, 2021.
- Robert Nowak. Cohomology, GAGA Theorems and Explicit Periods of Algebraic Curves, 2021.
- Konstantin Meiwald. Gluing curves from irreducible components, 2022.
- Maximilian Ciszek. Isogeny based post quantum cryptography, 2023.
- René Schult. Cartesian closed categories of relative topological spaces, 2024.
- Sören Hollmann. A description of morphisms of curves via their Jacobian varieties, 2024.
- Joris Dannemann. Galois Module Structure of Riemann-Roch Spaces on Curves with a Focus on Applications, 2026