Casey Mann is an American mathematician, specializing indiscrete andcomputational geometry, in particulartessellation andknot theory. He is Professor of Mathematics atUniversity of Washington Bothell[2], and received the PhD at theUniversity of Arkansas in 2001.
He is known for his 2015 discovery, withJennifer McLoud-Mann and undergraduate student David Von Derau, of the 15th and last class ofconvexpentagons totile the plane.[3][4][5][6][7]
Mann is also known for his work onHeesch's problem, to which he contributed a polygon withHeesch number 5. This problem is closely related to theeinstein problem, of whether there exists a shape that can tessellate space, but only in a non-periodic way.[1][8]
Mann received his B.S. in mathematics atEast Central University inAda, Oklahoma, and completed his Ph.D. in 2001 from theUniversity of Arkansas. His dissertation indiscrete geometry, supervised byChaim Goodman-Strauss, wasHeesch's Problem and Other Tiling Problems.[9]
Upon completing his doctorate, Mann joined theUniversity of Texas at Tyler faculty for eleven years.[2]. He joined the faculty of University of Washington Bothell in 2013, where he is active in engaging undergraduate students in research.
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