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OREGON STATE UNIVERSITY
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Michael Kupperman conducts Summer Undergraduate Research Internship
Math in the Valley, 2019-2020
Elise Lockwood to Improve K-12 computer science education in Oregon
Math major Rachel Sousa models biological and ecological phenomena
Congratulations to Malgo Peszynska!
We shall consider a stochastic model, which is used to analyze competitive population dynamics. This cyclic and non-transitive model is based on the well-known rock-paper-scissors game. It can be viewed as the stochastic analog of the Lotka-Volterra deterministic model for predator-prey interactions. It has been observed that in order to maintain species richness it is essential for the system to be nonhierarchical in nature. One of the central goals of ecology is to figure out strategies that help to maintain biodiversity or species richness in the long term.
Ada, a modern math student, joins forces with Sir Isaac Newton in a buddy comedy for the ages! Archimedes, Robert Hooke, Gottfried Leibniz, L’Hopital and Riemann are part of the action. Musical parodies that span genres introduce and illuminate concepts of limits, integration and differentiation. Hilarious, catchy songs deliver powerful mnemonic content proven to get stuck in students’ heads, bringing the instantaneous rate of change and the area under the curve vividly alive with an unforgettable soundtrack.
Motivated by the study of the five Platonic solids, we trace the geometric ideas of points, lines, polygons, polyhedra and higher-dimensional polytopes, and the parallel combinatorial ideas of abstract polytopes and maniplexes.
Hidden agenda: I want to talk about symmetry as it applies to each of these ideas.
Unitary Shimura varieties are moduli spaces of abelian
varieties with extra structure. Rapoport-Zink spaces (moduli spaces of
p-divisible groups with extra structure) are key tools in studying the
supersingular loci of these Shimura varieties. In this talk, we'll
discuss the geometry of the GL(4) Rapoport-Zink space. As an
application, we'll also discuss the geometry of the supersingular loci
of some particular unitary Shimura varieties.