| Modern computational power and computer algebra programs like Magma, Sage, and GAP have transformed the way we gather information about mathematical objects. Automorphism groups of Riemann surfaces are one example where we have been able to explore the objects and form new conjectures by using computation. We talk about an online database of these group actions. Then we discuss ways we've used this data and other computational methods to help solve problems such as how Jacobian varieties decompose to classifying groups which act in particular ways. |
