Research topics:

(Very much outdated...)

• Topics of my PhD Thesis Modular Forms of Weight One Over Finite Fields
• Serre's conjecture, dihedral representations and Katz modular forms
• Modular symbols over arbitrary rings
• Hecke algebras of modular forms over finite fields
• Algorithms for computing mod p modular forms (of weight one)
• Images of Galois representations, inverse Galois theory (some computational results)
• Gorenstein property of Hecke algebras (with Lloyd Kilford)
• The transfer operator for Hecke triangle groups (with Tobias Mühlenbruch and Dieter Mayer)

Last modification: 27 March 2006.