Fletcher 110, Pitzer College
1050 N Mills Ave, Claremont, CA, United States
The relation of accessible points in a projective incidence plane defined by Coxeter in the 1960s is the focus of my narrative. It reveals historical pathways bookending the 19th and 20th centuries that bring G.K.C. von Staudt, Mario Pieri, Marvin Greenberg and others into the conversation. The published references to Coxeter’s theory, including his own, […]
Shanahan 2407 at Harvey Mudd College
Claremont, CA, United States
Title: Kolmogorov, Onsager and a Dyadic Model for Turbulence Abstract: We will briefly review Kolmogorov’s ( 41) theory of homogeneous turbulence and Onsager’s ( 49 ) conjecture that in 3-dimensional turbulent flows energy dissipation might exist even in the limit of vanishing viscosity. Although over the past 70 years there is a vast body of […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
Markov chains have become widely-used to generate random political districting plans. These random districting plans can be used to form a baseline for comparison, and any proposed districting plans that differ significantly from this baseline can be flagged as potentially gerrymandered. However, very little is rigorously known about these Markov chains - Are they irreducible? […]
Humanities Auditorium, Scripps College, and Zoom
Claremont, CA, United States
Title: Frequentist Model Averaging in the Generalized Multinomial Logit Model Speaker: Tonia Zeng, Applied Business Sciences and Economics, University of La Verne Abstract: The generalized multinomial logit (GMNL) model accommodates scale heterogeneity to the random parameters logit (RPL) model. It has been often used to study people's preferences and predict people's decisions in many areas, […]
Shanahan 2407 at Harvey Mudd College
Claremont, CA, United States
Title: Mathematical modeling of polymerization processes in physiology Abstract: Polymerization, or aggregation, is essential for many physiological systems. For example, the emergence of a fibrin polymer mesh during the formation of a blood clot is required for a stable clot and long-term, sustained intracellular transport in neurons rely on persistent yet dynamic polymers that comprise the […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
"A Tale of Two Cities" is a novel told in three books/parts. Here we describe three projects related both to published work and ongoing pieces: PROJECT 1: In the world of combinatorics, parking functions are combinatorial objects arising from the situation of parking cars under a parking strategy. In this part of the talk, we […]
Humanities Auditorium, Scripps College, and Zoom
Claremont, CA, United States
Title: Packing lines, minimizing energy, and applications to communications Speaker: Josiah Park, Department of Mathematics, Texas A&M University Abstract: Structured geometric point sets play important roles in coding theory, mathematical biology, computational chemistry, wireless communications, compressed sensing, and 'big data' applications due to their often desirable statistical properties for measurement and transmission. Best packings of […]
Fletcher 110, Pitzer College
1050 N Mills Ave, Claremont, CA, United States
The members of the “Invisible College” and the early Royal Society championed an experimental approach to the study of nature as the proper path to the advancement of knowledge and the preservation of civic peace. Mathematics, while admired, was also viewed with suspicion, as potentially dogmatic and coercive. John Wallis, the leading mathematician in the […]
Shanahan 2407 at Harvey Mudd College
Claremont, CA, United States
Title: Randomized Sums of Graph Spectra Abstract: The adjacency matrix of an Erdős-Rényi-Gilbert graph is a random symmetric matrix whose entries are Bernoulli random variables. These entries, modulo the constraints imposed by symmetry, are independent. We aim to understand the asymptotic behavior of randomized sums of the spectra and singular spectra of these matrices. In […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
Given a degree d polynomial f(x) in Q, consider the subset S_f of Q consisting of rational numbers t for which the translated polynomial f(x) - t factors completely in Q. For example, if f is linear or quadratic then S_f is always infinite, but if degree of f is at least 3, then interesting […]
Humanities Auditorium, Scripps College, and Zoom
Claremont, CA, United States
Title: Shape Optimization: Old and New Speaker: Edouard Oudet, LJK, Université Grenoble Alpes Abstract: We first introduce what is shape Optimization and the most classical problems of the field like the isoperimetric problem, the study of minimal surfaces, the characterization of irrigation networks, etc. In a second step we focus on a more recent question related […]
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