# Exploring modular forms and the cohomology of local systems on moduli spaces by counting points

@article{Geer2016ExploringMF, title={Exploring modular forms and the cohomology of local systems on moduli spaces by counting points}, author={Gerard van der Geer}, journal={arXiv: Algebraic Geometry}, year={2016} }

This is a report on a joint project in experimental mathematics with Jonas Bergstr\"om and Carel Faber where we obtain information about modular forms by counting curves over finite fields.

## One Citation

### Siegel modular forms of genus 2 and level 2 (with an appendix by Shigeru Mukai)

- Mathematics
- 2015

We study vector-valued Siegel modular forms of genus 2 on the three level 2 groups Γ[2] ◁ Γ1[2] ◁ Γ0[2] ⊂ Sp(4, ℤ). We give generating functions for the dimension of spaces of vector-valued modular…

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