Paper Strip Knots (David Bachman)
I will discuss joint work with Jim Hoste, where we prove that a unique folded strip of paper can follow any polygonal knot with odd stick number. In the even […]
12 events found.
Events
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Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States
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Science for the Greater Good: How a Math Professor Saved the Italian Coastline from Big Oil
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesIn 2007, Dr. Maria D'Orsogna learned of proposed oil activities in her home region of Abruzzo, Italy. Century-old wineries were to be uprooted to build clusters of oil wells, refineries […]
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Applied Math Talk: Stochastic similarity matrices and data clustering given by Prof. Denis Gaidashev (Uppsala University)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaClustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices, and an algorithm […]
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Counting stuff with quantum Airy structures (Vincent Bouchard, University of Alberta)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaMathematicians like to count things. Often in very complicated and fancy ways. In this talk I will explain how we can use quantum Airy structures -- an abstract formalism recently […]
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Topology Triple-Header!
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesThis triple-header of topology talks will include three speakers: First, Hyeran Cho from The Ohio State University will speak about Derivation of Schubert normal forms of 2-bridge knots from (1,1)-diagrams. In this talk, we show that the dual (1, 1)-diagram of a (1, 1)-diagram (a.k.a. a two pointed genus one Heegaard diagram) D(a, 0, 1, […]
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Let’s count points!
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesA fascinating fact on mathematics is that there are many interesting connections between seemingly different mathematical disciplines. In this talk, I will present a surprising formula counting integral points on polygons and sketch its proof. We will see a delightful interaction between algebra, combinatorics, and geometry. This talk aims primarily for undergraduate students. No prerequisite […]
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Recent developments biquandle brackets (Sam Nelson, CMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaWe review some recent developments in the study of biquandle brackets and other quantum enhancements.
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Topological index and square plat projections (Puttipong Pongtanapaisan)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesThe bridge distance and the topological index are measures of the complexity of the bridge splitting of a knot. In 2016, Johnson and Moriah gave a formula for the bridge distance of the canonical bridge sphere of a knot in a highly twisted plat projection in terms of the height and the width of the […]
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Silica-based glasses: Realizing process-structure-property connections through computational modeling
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesSilica-based glasses are increasingly becoming vital components in our current technology, from optical data transmission lines, to electronics, to optical lenses, to smartphone screens. These materials are inherently brittle and subject to failure under shock, non-equilibrium stress states, or corrosive environments. Identifying new compositions and processing conditions that result in improved fracture resistance (i.e. a […]
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Dynamics of a childhood disease model with isolation
Millikan 2141, Pomona CollegeJoan Ponce Purdue University Abstract: One of the main challenges of mathematical modeling is the balance between simplifying assumptions and incorporating sufficient complexity for the model to provide more accurate and reliable outcomes. For mathematical simplicity, many commonly used epidemiological models make restrictive modeling assumptions. Although models under such assumptions are capable of producing useful insights into […]
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Applied Math Talk: Patterns deformed by spatial inhomogeneity give by Prof. Jasper Weinburd (HMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaAt the turn of the twentieth century, physicist Henri Bénard heated a shallow plate of fluid from below. For temperatures above a critical value, the fluid’s evenly heated state became unstable as thermal convection took hold; heated fluid rose in localized areas while cooler fluid fell nearby. The rising and falling fluid created hexagonal convection cells, […]
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Exponential domination in grids (Michael Young, Iowa State University)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaDomination in graphs has been an important and active topic in graph theory for over 40 years. It has immediate applications in visibility and controllability. In this talk we will discuss a generalization of domination called exponential domination. A vertex $v$ in an exponential dominating set assigns weight $2^{1−dist(v,u)}$ to vertex $u$. An exponential dominating […]