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Applied Math Seminar: Measurement Error Modeling using Empirical Phase Functions (Prof. Cornelis Potgieter, Southern Methodist University)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

Measurement error, formally defined as the difference between the measured value and the true value of a quantity of interest, is ubiquitous. When a doctor takes your blood pressure, the instrumentation may not be properly calibrated and the reading is subject to error. When completing an online Harry Potter Sorting Hat quiz, you may accidentally […]

When is the product of Siegel eigenforms an eigenform? (Jim Brown, Occidental College)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Modular forms are ubiquitous in modern number theory.  For instance, showing that elliptic curves are secretly modular forms was the key to the proof of Fermat's Last Theorem.  In addition to number theory, modular forms show up in diverse areas such as coding theory and particle physics.  Roughly speaking, a modular form is a complex-valued […]

Pull Out All The Stops: Textual Analysis via Punctuation Sequences (Mason Porter, UCLA)

Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

Abstract: Whether enjoying the lucid prose of a favorite author or slogging through some other writer's cumbersome, heavy-set prattle (full of parentheses, em-dashes, compound adjectives, and Oxford commas), readers will notice stylistic signatures not only in word choice and grammar, but also in punctuation itself. Indeed, visual sequences of punctuation from different authors produce marvelously […]

Applying Quantum Representations of Mapping Class Groups (Wade Bloomquist, UCSB)

Roberts North 104, CMC 320 E. 9th St., Claremont, CA, United States

One foundational pillar of low dimensional topology is the connection between link invariants and 3-manifold invariants.  One generalization of this has been given by Reshetikhin and Turaev to a surgery theory for colored ribbon graphs.  Then to complete the analogy rather than 3-manifold invariants we now have a 2+1 dimensional topology quantum field theory (TQFT).  […]

Job Talk – Howard Levinson – Candidate for Assistant Professor in Mathematics

Candidate for Assistant Professor in Mathematics Howard Levinson, University of Michigan Seeing Clearly Through a Microscope The goal of microscope imaging is to obtain high-resolution images of cells.  However, due to the underlying physics involved, the resulting images are often blurred.  In this talk, I will develop the mathematical framework to describe this blurring, which […]

Applied Math Seminar: Eulerian Approaches based on the Level Set Method for Visualizing Continuous Dynamical Systems (Shingyu Leung, Department of Mathematics, HKUST)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

One very important concept in understanding a dynamical system is coherent structure. Such structure segments the domain into different regions with similar behavior according to a quantity. When we try to partition space-time into regions according to a Lagrangian quantity advected along with passive tracers, such class of coherent structure is called the Lagrangian coherent […]

GEMS Workshop: Graph Theory, Part II with Professor Michael Orrison, from Harvey Mudd College

Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

TOPIC: Graph Theory, Part II On the surface, graphs seem to be some of the simplest objects you might encounter in mathematics. After all, they are made up of just two kinds of parts, vertices and edges, and those parts fit together in simple ways. But appearances can be deceiving! In this series of two […]

Free

Applied Math Seminar: Fluid mechanics at the microscale (Prof. Amy Buchmann, University of San Diego)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

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)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

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)

Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

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 […]