# Past Events

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## February 2022

### Modeling the waning and boosting of immunity (Prof. Lauren Childs)

Title: Modeling the waning and boosting of immunity Speaker: Dr. Lauren Childs Assistant Professor and the Cliff and Agnes Lilly Faculty Fellow Virgina Tech Abstract: Infectious disease often leads to significant loss of life and burden on society. Understanding disease dynamics is essential to the development and implementation of earlier and more effective interventions. Traditionally, perfect, long-lasting protection against disease is assumed to be acquired, but this need not always be the case. Immunity following natural infection (or immunization) may wane,…

Find out more »### Solving the Race in Backgammon (Prof. Arthur Benjamin)

Title: Solving the Race in Backgammon Speaker: Prof. Arthur Benjamin Smallwood Family Professor of Mathematics Harvey Mudd College Abstract: Backgammon is perhaps the oldest game that is still played today. It is a game that combines luck with skill, where two players take turns rolling dice and decide how to move their checkers in the best possible way. It is the ultimate math game, where players who possess a little bit of mathematical knowledge can have a big…

Find out more »### Modeling Zoonotic Infectious Diseases from Wildlife to Humans (Prof. Linda J. S. Allen)

Title: Modeling Zoonotic Infectious Diseases from Wildlife to Humans Speaker: Prof. Linda J. S. Allen, P. W. Horn Distinguished Professor Emeritus Texas Tech University Abstract: Zoonotic infectious diseases are diseases transmitted from animals to humans. It is estimated that over 60% of human infectious diseases are zoonotic. The Centers for Disease Control and Prevention has identified eight priority zoonoses in the US. Three of the priority zoonoses are avian influenza, Lyme disease, and emerging coronaviruses. Spillover of infections from animals to humans depends on a complex…

Find out more »## March 2022

### On sparse geometry of numbers (Prof. Lenny Fukshansky)

Title: On sparse geometry of numbers Speaker: Prof. Lenny Fukshansky, Department of Mathematics, Claremont McKenna College Abstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end of the 19th century. He achieved stunning success introducing a novel geometric framework into the study of algebraic numbers, prompting mathematicians of later generations to compare his work to ``the story of Saul, who set out to look for his father's asses and discovered a Kingdom" (J. V. Armitage). In this…

Find out more »### CCMS Field Committee Meeting

The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2022-2023). Please come to discuss course offerings and other synergistic items. Refreshments in the Shanahan sunken courtyard at HMC starting at 4:00, meeting in Shanahan B460 at 4:20. We will be back in person for this meeting. A Zoom link will also be sent out, for those unable to attend physically.

Find out more »### The 6 Cs – Covid and the 5 Claremont Colleges (Prof. Maryann E. Hohn)

Title: The 6 Cs - Covid and the 5 Claremont Colleges Speaker: Maryann E. Hohn, Department of Mathematics and Statistics, Pomona College Abstract: The Claremont Colleges' (5Cs) environment consists of students, faculty, and staff that congregate together in indoor spaces, creating a higher risk for possible COVID-19 infection. Additionally, a majority of the students live on campus, presenting a relatively closed campus environment that limits students’ interactions with their greater community. However, the close knit quarters in which students live may…

Find out more »### Voronoi Tessellations: Optimal Quantization and Modeling Collective Behavior (Prof. Rustum Choksi)

Title: Voronoi Tessellations: Optimal Quantization and Modeling Collective Behavior Speaker: Prof. Rustum Choksi, Department of Mathematics and Statistics, McGill University Abstract: Given a set of N distinct points (generators) in a domain (a bounded subset of Euclidean space or a compact Riemannian manifold), a Voronoi tessellation is a partition of the domain into N regions (Voronoi cells) with the following property: all points in the interior of the ith Voronoi cell are closer to the ith generating point than to any…

Find out more »## April 2022

### Geometry of continued fractions (Prof. Oleg Karpenkov)

Title: Geometry of continued fractions Speaker: Oleg Karpenkov, Department of Mathematical Sciences, University of Liverpool Abstract: In this talk we introduce a geometrical model of continued fractions and discuss its appearance in rather different research areas: -- values of quadratic forms (Perron Identity for Markov spectrum) -- the 2nd Kepler law on planetary motion -- Global relation on singularities of toric varieties Oleg Karpenkov is a mathematician at the University of Liverpool (UK), working in the general area of discrete geometry. Specifically,…

Find out more »### Linear independence, counting, and Hilbert’s syzygy theorem (Prof. Youngsu Kim)

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.…

Find out more »### Contact topology and geometry in high dimensions (Prof. Bahar Acu)

Title: Contact topology and geometry in high dimensions Speaker: Bahar Acu, Department of Mathematics, Pitzer College Abstract: A very useful strategy in studying topological manifolds is to factor them into ``smaller" pieces. An open book decomposition of an n-manifold (the open book) is a special map (fibration) that helps us study our manifold in terms of its (n-1)-dimensional submanifolds (i.e. fibers=the pages) and (n-2)-dimensional boundary of these submanifolds (the binding). Open books provide a natural framework for studying topological properties of certain geometric structures on…

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