I recently started working with Joel Hamkins on a new project on infinite chess. We think that we will be able to improve on some results from his previous paper on transfinite game values in infinite chess to demonstrate a position with game value $\omega^4$. We made a lot of progress during January and February, as I was not teaching during that time. Teaching starts again for me next week. I hope that I will be able to find time to continue working on this project while I’m teaching during the spring semester. If not, then I will work on it more in the summer. Stay tuned to see a really cool infinite chess position 🙂