Next week I'll be presenting a poster at the ICMS workshop "The higher-genus sigma function and applications" (link) on computing bitangent lines of quartic curves. There's an amazing connection between these bitangents and a quartic curve's corresponding Riemann theta function.
Thanks to Bernd Sturmfels and Cynthia Vinzant at UC Berkeley for suggesting this project and fascinating application of Riemann theta. Hopefully it will grow into other future projects down the road.