Week of Events
Applied Math Seminar: Fluid mechanics at the microscale (Prof. Amy Buchmann, University of San Diego)
Applied Math Seminar: Fluid mechanics at the microscale (Prof. Amy Buchmann, University of San Diego)
I will present mathematical and computational methods used to model interactions between a viscous fluid and elastic structures in biological processes. For example, microfluidic devices carry very small volumes of liquid through channels and may be used to gain insight into many biological applications including drug delivery and development, but mixing and pumping at this […]
Nonvanishing minors and uncertainty principles for Fourier analysis over finite fields (Daniel Katz, CSUN)
Nonvanishing minors and uncertainty principles for Fourier analysis over finite fields (Daniel Katz, CSUN)
Chebotarev's theorem on roots of unity says that every minor of a discrete Fourier transform matrix of prime order is nonzero. We present a generalization of this result that includes analogues for discrete cosine and discrete sine transform matrices as special cases. This leads to a generalization of the Biro-Meshulam-Tao uncertainty principle to functions with […]
Accidental Mathematics (Matt Stamps, Yale-NUs College)
Accidental Mathematics (Matt Stamps, Yale-NUs College)
Abstract: Growing up, I always loved learning about world-changing scientific breakthroughs that were discovered by accident. Penicillin, artificial sweeteners, X-rays, and synthetic dyes are just a few of the discoveries that were stumbled upon by scientists who had other goals in mind. More recently, I have come to wonder why anecdotes about accidental discoveries in […]
Non-existence of epimorphisms between certain genus two handlebody-knot groups (Ryo Nikkuni, Tokyo Woman’s Christian University)
Non-existence of epimorphisms between certain genus two handlebody-knot groups (Ryo Nikkuni, Tokyo Woman’s Christian University)
For two genus $g$ handlebody-knots $H_{1}$ and $H_{2}$, we denote $H_{1} \geq H_{2}$ if there exists an epimorphism from the fundamental group of the handlebody-knot complement of $H_{1}$ onto the one of $H_{2}$. In the case of $g = 1$, this order is a partial order on the set of prime knots and has been […]