Faculty interested in undergraduate research
David Clark
Contact information: [email protected]
Office: MAK A-2-104
Website: https://sites.google.com/mail.gvsu.edu/clarkdav/
Research areas: Discrete mathematics, error-correcting codes, and finite geometry, often investigated through games.
Current projects: Guessing Games: I'm thinking of a number from 1 to 1,000,000. Can you guess it with only yes-or-no questions? How many questions do you need? What if I'm allowed to lie? Maybe I'm even thinking of TWO numbers and I'll only tell you how many of them satisfy your questions, but not which ones. I'm interested in all of these questions and more. They are all secretly related to cell phones, satellites, and how we can get beautiful photos from Mars and beyond.
Misére Tic-Tac-Toe on finite geometries: Did you know that you can play tic-tac-toe on different kinds of boards? Some of the most interesting come from a special type of geometry where there are only a few points and lines. I’m interested in understanding which player can win, and how.
I would be interested in doing an independent study, including reading papers and trying several related extension problems. If you'd like to do an S3, Modified S3, or Alayont Fellowship on these types of problems, we should complete an independent study first.
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