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Linear independence, counting, and Hilbert’s syzygy theorem (Prof. Youngsu Kim)
April 20, 2022 @ 4:15 pm - 5:30 pm
Title: Linear independence, counting, and Hilbert’s syzygy theorem
Speaker: Youngsu Kim, Department of Mathematics, Cal State San Bernardino
Abstract: Linear independence is an essential concept in mathematics and one of the most fundamental notions in linear algebra.
Linear algebra studies the solutions of linear equations. Algebraic geometry studies the solutions of polynomial equations (of arbitrary degree). In this talk, we explore how linear independence can help study algebraic geometry and Hilbert’s syzygy theorem.
Youngsu Kim earned his Ph.D. from Purdue University. He had visiting positions at UC Riverside and the University of Arkansas. Currently, he works at Cal State San Bernardino, and his primary research interest is in commutative algebra.