Texas A&M Mathematics Graduate Student Organization
Texas A&M Mathematics Graduate Student Organization
MGSO exists to encourage communication among students and to contribute to a rich social life in the department through cultural and scientific dialogue. We would like to provide an environment where students in the mathematics department can practice their presentation skills and observe the techniques of others. It is our goal to be a source of support and information for all graduate students.
The main activity of the MGSO is the Graduate Student Seminar. This seminar is for grad students, (largely) by grad students: Volunteer to give a talk!
We study a Nim-adjacent poset game, where chips are arranged in a pyramid and two players take turns removing chips that do not currently support chips to the upper-left and upper-right; upon removing this chip, all supported chips above are also removed. Play continues until the final chip is removed. We use a bijection between the game states and proper interval graphs to count the number of possible game states, as well as methods from algebraic combinatorics and graph theory. We build on unsolved questions from Curran, Gray, Locke, and Lowe's 2022 paper over the same game.