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Applied Math Seminar: Jahrul Alum (Memorial University of Newfoundland)

Shanahan 2407 at Harvey Mudd College Claremont, CA

Title: Data-driven large eddy simulation of atmospheric turbulence Abstract: Over the last few years, machine learning has been critical in science and engineering and emerged as a data-driven turbulence model. However, machine learning depends on training data from previous experiments on turbulent flows. Typically, training data capture only a fraction of the active scales of […]

Minimal Mahler measure in number fields (Kate Petersen, University of Minnesota Duluth)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA

The Mahler measure of a polynomial is the modulus of its leading term multiplied by the moduli of all roots outside the unit circle.  The Mahler measure of an algebraic number b, M(b) is the Mahler measure of its minimal polynomial. By a result of Kronecker, an algebraic number b satisfies M(b)=1 if and only […]

Prof. Kate Petersen

Humanities Auditorium, Scripps College, and Zoom Claremont, CA

Title: Decision Problems in Low-Dimensional Topology Speaker: Kate Petersen, Department of Mathematics and Statistics, CSU, University of Minnesota Duluth Abstract: Due to Perelman’s proof of the Geometrization conjecture every closed 3-manifold can be decomposed into geometric pieces. These pieces exhibit one of Thurston’s eight model geometries.  This gives rise to the natural question: Given a 3-manifold how (quickly) […]

Confronting the Legacy of the Human Betterment Foundation at Caltech 

Avery 202, Pitzer College 1050 N Mills Ave, Claremont, CA

The Human Betterment Foundation was a pro-eugenics think-tank operating in the 1930s and early 1940s out of Pasadena, California. Its aim was to influence public and medical opinion in favor of sterilization of "socially undesirable elements": disabled, poor, and racialized people. Many board members had ties to Caltech, most notably Caltech's then-president Robert Millikan. Upon […]

Applied Math Seminar: Juergen Kritschgau (Carnegie Mellon)

Shanahan 2407 at Harvey Mudd College Claremont, CA

Title: Using Mutual Information of Hypergraph Compressions for Clustering Abstract: Hypergraphs are often used to represent higher order observed relationships between subjects of study. In particular, the vertices of a hypergraph could represent the basic elements of study, and edges represent observed relationships between the vertices. Implicitly, the assumption is that observed edges are more […]

Partial orders on standard Young tableaux( Gizem Karaali, Pomona)

On Zoom

Young diagrams are all possible arrangements of n boxes into rows and columns, with the number of boxes in each subsequent row weakly decreasing. For a partition λ of n, a standard Young tableau S of shape λ is built from the Young diagram of shape λ by filling it with the numbers 1 to […]

Prof. Jack Wesley

Humanities Auditorium, Scripps College, and Zoom Claremont, CA

Speaker: Jack Wesley, Department of Mathematics, UC Davis

On discrete subgroups of Euclidean spaces (Lenny Fukshansky, CMC)

Roberts North 105, CMC 320 E. 9th St., Claremont, CA

Let x_1,...,x_n be an overdetermined spanning set for the Euclidean space R^k, where n > k. Let L be the integer span of these vectors. Then L is an additive subgroup of R^n. When is it discrete in R^n? Naturally, this depends on the choice of the spanning set, but in which way? We will […]

Positive semigroups in lattices and totally real number fields (Lenny Fukshansky, CMC)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA

Let  L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive if it is contained in L+. There are infinitely many such bases, and each of them spans a conical semigroup S(X) consisting of all nonnegative […]

No-arbitrage Pricing in a Market for Position on a Multilane Freeway (Prof. Henry Schellhorn, CGU)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA

Title: No-arbitrage Pricing in a Market for Position on a Multilane Freeway Speaker: Henry Schellhorn, Department of Mathematics, Claremont Graduate University Abstract:  We introduce a trading mechanism allowing cars to change position in a multilane congested freeway by doing peer-to-peer transactions. For the car initiating the operation, or incoming car, the goal can be to […]