Learn about the company's goals and business model. Learn some of the theories and techniques used in the modeling, and try to find areas of improvement. Connect the modeling data and outcome to the business and see if there is more data that could be useful, maybe another output format or type of conclusion? Try to understand the modeling as deeply as you can. Very general advice, of course, without knowing your exact application.
Even if a lot of things can be automated it often takes a human mind to make sense of the outcome and make sure that the right things are automated. For example, some machine learning algorithms that take a lot of tweaking to get right and a lot of analysis to make sense of.
Math and automation are only tools to arrive at some business value, and it takes humans to connect the dots and turn conclusions into something useful most of the time. Try to thoroughly understand the tools and the process as well as how to automate it. If you succeed, I bet you would be very useful.