# A position in infinite chess with game value $\omega^4$

## Norman Perlmutter

### LaGuardia Community College, CUNY

I present a position in infinite chess with game value $\omega^4$. Informally speaking, this means that one side can force a win in $\omega^4$ many moves, or that the game is equivalent to the game of counting down from $\omega^4$. This result, joint with Hamkins and Evans, improved on the previous best result of $\omega^3$.

More information can be found at: http://jdh.hamkins.org/tag/infinite-chess.

Norman Lewis Perlmutter grew up in Toledo, Ohio, earned his bachelor’s degree in mathematics at Grinnell College in Grinnell, Iowa, in 2007, and earned his Ph.D. in mathematics at the CUNY Graduate Center in 2013 under the supervision of Joel David Hamkins. After a year as a visiting assistant professor at Florida Atlantic University, he returned to New York City and to CUNY, taking a position as an assistant professor of mathematics at LaGuardia Community College in 2014. Besides mathematics, his interests include theater, board games, food, travel, and science fiction.