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Department of Mathematics

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Fred Xavier, emeritus TCU professor, will lecture on Entire polynomial homeomorphisms. The talk will be in Rees-Jones Hall 112, and refreshments will be served beforehand at 3:30 pm in Tucker Technology Center 300.

Abstract: A polynomial map F: Rn → Rn is invertible if and only if its fibers are discrete, the Jacobian of F does not change sign, and an auxiliary polynomial system has only the trivial solution. When F is linear these three hypotheses coalesce into det F≠ 0.
Several TCU students participated in the "My Favorite Theorem" podcast, co-hosted by our recent Green Honors Chair Dr. Kevin Knudson. Listen to the episode here!