Date Event Type Event Name Abstract
02/14/2018 Mathematics Education Seminar Discussion of "Content Knowledge for Teaching : What Makes It Special?" by Ball, Thames and Phelps
02/12/2018 Analysis Seminar No seminar this week
02/12/2018 Geometry-Topology Seminar The topology of moduli spaces of planar pentagons with singularities. We consider the topology of the space of polygons with fixed edge-lengths in the Euclidean plane, modulo orientation preserving isometries. The topology of such spaces does depend on the combinatorics of the fixed edge-lengths, but these spaces are generically manifolds. Kapovich and Millson...
02/09/2018 Applied Mathematics and Computation Seminar Modeling hydrate across the scales This talk is the second part of our introduction to modeling multiple phases and phase transitions in fluids. We start by introducing models of multiple component multiphase flow and transport in porous media. Such phenomena occur in applications to environmental engineering or petroleum and gas...
02/07/2018 Mathematical Biology Seminar No seminar
02/07/2018 Mathematics Education Seminar A perspective on the impact of Erlwanger's "Benny" paper by Keith Leatham
02/06/2018 Number Theory Seminar The Pollard Rho algorithm and randomness in discrete dynamical systems A polynomial with integer coefficients yields a family of dynamical systems indexed by primes as follows: for any prime, reduce its coefficients modulo that prime and consider its action on the (finite) residue field. The effectiveness of the Pollard Rho factorization algorithm relies on the ”...
02/06/2018 Mathematics Education Seminar Impacting students’ practice of mathematics, especially at critical moments We discuss a dozen years of experience in course development with an aim of changing students' perceptions of what mathematics is and what success in mathematics classes ought to entail. Key components are identifying important common student misunderstandings and designing activities, often in-...
02/05/2018 Analysis Seminar No seminar this week
02/05/2018 Geometry-Topology Seminar Non-negatively curved 6-manifolds with almost maximal symmetry rank. In joint work with Catherine Searle we classify closed, simply-connected, non-negatively curved 6-manifolds of almost maximal symmetry rank up to equivariant diffeomorphism. I will describe the classification result and give an outline of the proof.
02/02/2018 Applied Mathematics and Computation Seminar A Dynamically Driven Paradigm for Data Assimilation in Geophysical Models In physical applications, dynamical models and observational data play dual roles in prediction and uncertainty quantification, each representing sources of incomplete and inaccurate information. In data rich problems, first-principle physical laws constrain the degrees of freedom of massive data...
01/31/2018 Mathematical Biology Seminar Persistent vs. consistent homology from point clouds This talk is a recording made by the MBI at Ohio State University: https://mbi.osu.edu/video/player/?id=4080&title=Persistent+vs.+Consisten... Persistent homology has become a standard tool in modern data analysis, identifying homology generators at various scales as a parameter representing...
01/31/2018 Mathematics Education Seminar Discussion of Erlwanger's paper about Benny's Conceptions
01/30/2018 Number Theory Seminar Higher Eisenstein Congruences In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms of prime level are locally principal. In this talk, we re-examine Eisenstein...
01/29/2018 Colloquium Applied topological data analysis Topological data analysis aims to understand the shape of data sets, especially “large” ones, using tools from the relatively modern field of algebraic topology. We highlight two tools: the Reeb graph, which organizes data graphically (as in, “with a graph,” but also as in “producing a picture”)...
01/29/2018 Geometry-Topology Seminar Linking invariants for rational homotopy groups A wonderful theorem of Hilton and Milnor implies that the rational homotopy groups of a wedge of spheres is a free Lie algebra. But given two maps from a sphere to a wedge of spheres, how could we tell whether or not they were homotopic module torsion? That is, what theory plays the role for...
01/29/2018 Analysis Seminar Stochastic explosion pathway to non-uniqueness in non-linear PDE: the case study of the α-Riccati equation. Part II. This is the second part of the talk from last Monday: The α-Riccati equation is a differential equation that features a non-local quadratic nonlinearity coupled with a dissipative linear term and can be viewed as a toy problem for Navier-Stokes-like systems. In this series of talks I will discuss...
01/27/2018 Number Theory Seminar Oregon Number Theory Days This is the second meeting of Oregon Number Theory Days, a triannual number theory seminar rotating between the University of Oregon, Oregon State University, and Portland State University. The main speaker will be Ken Ono of Emory University, who will give two talks. Lunch will be provided and...
01/26/2018 Applied Mathematics and Computation Seminar Signal Analysis and Reconstruction Algorithms in 2D Computed Tomography Computed tomography produces images from the interior of opaque objects. A variety of data acquisition geometries and reconstruction algorithms are available for practical use. In this talk we will use Signal Analysis in the sense of applying the Shannon Sampling Theorem and its generalizations in...
01/24/2018 Mathematical Biology Seminar Relationships, Relatedness, and the Co-ancestry of Genome This talk is a recording made by the MBI at Ohio State University: https://mbi.osu.edu/event/?id=1071 A major goal of genetic analysis is to find the genes that underlie traits of medical or economic importance. The associations between trait data and marker DNA arise from the descent of genome to...

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