Geometry and Arithmetic of Surfaces is a workshop for early career researchers (undergraduates, graduate students, post docs, etc.) being held at the University of Wisconsin - Madison, February 9-10, 2019. This workshop will focus on providing a diverse group of early career researchers the opportunity to learn about interesting cutting edge topics in the arithmetic and algebraic geometry of surfaces from a diverse set of prominent active researchers: Bianca Viray, Katrina Honigs, Anthony Várilly-Alvarado, and Jesse Kass.

The goals of this workshop are:

• Introduce participants to cutting edge research topics, and senior researchers in the algebraic and arithmetic geometry of surfaces.
• Strengthen the network mathematicians from generally underrepresented groups, in particular women and non-binary researchers, in algebraic and arithmetic geometry, and the surrounding areas.
• Develop collaborative relationships that cut across standard topic-collaborations and involve diverse groups of researchers.

Towards these goals the workshop will consist of four mini-courses, five minute talks given by graduate student participants, and small group discussions.

Each mini-course will consist of two 50-minutes talks.These talks should accessible to a wide audience and practice exercises related to the topic will be provided. Additionally, during lunch there will be five minute talks that allow the graduate student participants to introduce themselves and their research. In doing this we hope to promote a sense of community amongst the participants, and open the door for collaborative conversations. Finally, the workshop will also have dedicated time for small group discussions. These discussions will give the early career researchers a more informal chance to talk to the speakers, who are experts in the area.