Date Event Type Event Name Abstract
02/25/2020 Student Event 5 Under 5 Alumni Panel You’re up next. Discover what’s in store after graduation. Come see 5 College of Science Alumni who have graduated in the last 5 years discuss their path to career, including our very own Morgan Pearson! While earning a B.S. in Mathematics with a statistics option, Morgan served as an assistant...
02/24/2020 Department Colloquium Topology and Neuroscience (the talk is cancelled) Experimental techniques in neuroscience are evolving rapidly, and modern labs produce unprecedented amounts of data about the structure and function of the brain at every level. The complexity, nonlinearity, and multiscale nature of the neural systems being studied makes many traditional methods...
02/24/2020 Analysis Seminar Blowup solutions of a Navier-Stokes-like equation – A probabilistic perspective I will continue my talk last week. I will first go over what I presented last time.
02/24/2020 Geometry-Topology Seminar No seminar this week. Talk cancelled due to illness.
02/21/2020 Applied Mathematics and Computation Seminar Mathematical Modeling of Infectious Diseases (Case Study: Within-host Influenza infection dynamics) Influenza is a viral infectious disease of high importance and widely studied around the world. In this study we model the within-host transmission of influenza in a continuous deterministic setting (system of ordinary differential equations) and a discrete stochastic framework (discrete-time...
02/20/2020 Applied Mathematics and Computation Seminar The power spectrum of passive scalar turbulence in the Batchelor regime (SIAM PNW distinguished online seminar) In 1959, Batchelor predicted that passive scalars advected in fluids at finite Reynolds number with small diffusivity ? should display a |k|?1 power spectrum over a small-scale inertial range in a statistically stationary experiment. This prediction has been experimentally and numerically tested...
02/19/2020 Mathematical Biology Seminar Blowup solutions of a Navier-Stokes-like equation – A probabilistic perspective Although it is not known if an L^3-initial datum can produce a blowup solution of the 3-dimensional Navier-Stokes equations, various results have been established based on the assumption that there is such a blowup-generating datum. One of the results is the existence of a blowup-generating datum...
02/18/2020 Number Theory Seminar Moments of zeta and the vertical distribution of its zeros (VaNTAGe virtual seminar)
02/17/2020 Analysis Seminar Blowup solutions of a Navier-Stokes-like equation – A probabilistic perspective Although it is not known if an L^3-initial datum can produce a blowup solution of the 3-dimensional Navier-Stokes equations, various results have been established based on the assumption that there is such a blowup-generating datum. One of the results is the existence of a blowup-generating datum...
02/17/2020 Geometry-Topology Seminar Graph Laplacians and their higher dimensional variants Discrete Laplace de Rham operators are a sequence of matrices defined on simplicial complexes. The first matrix in this sequence, the graph Laplacian, has been extensively studied in the last couple of decades. These studies resulted in a series of simple and elegant algorithms that helped...
02/14/2020 Number Theory Seminar Understanding Galois groups via covers of Riemann surfaces Special guest in class, as seminar talk: In this talk I'll begin by discussing covers of Riemann surfaces, with some concrete examples which are covers of the projective line branched at three points. A famous theorem of Belyi says that any smooth projective curve defined over a number field can be...
02/14/2020 Applied Mathematics and Computation Seminar Computational modeling of phase transitions geared towards permafrost modeling Recent changes in weather patterns have made modeling of freezing and thawing of groundwater in cold regions of particular interest to study and model. The Stefan problem models ice and water domains and the free boundary between these domains. The interface condition on the free boundary involves...
02/12/2020 Mathematical Biology Seminar Special EECB seminar titled "Ecological Detection in the Arctic: Three Vignettes" Ecological Detection in the Arctic: Three Vignettes Dr. Marc Mangel is a biologist who is broadly interested in using mathematical methods to solve biological and ecological problems. He currently works on projects ranging from how human disturbance of foraging habitats will affect marine mammals...
02/11/2020 Number Theory Seminar On the zeros of some families of modular functions
02/10/2020 Department Colloquium Area-minimizing surfaces and the one-phase free boundary problem Geometric measure theory and the study of free boundary problems in PDE share many methods and techniques. Indeed, the one phase free boundary problem shares a well-known connection to area-minimizing surfaces. In this talk we review this connection and explain how many results for area minimizing...
02/10/2020 Analysis Seminar A new boundary Harnack principle The boundary Harnack principle allows one to compare the behavior of two harmonic solutions when they both vanish on the boundary. This principle has proven useful in PDE, harmonic analysis, and free boundary problems. In this talk I will review the principle and some of its applications. I will...
02/10/2020 Geometry-Topology Seminar Introduction to JAVAPLEX and data set reduction in TDA JAVAPLEX is an easy to use, free software package to compute the persistent homology of data sets. While coded in Java, it can be easily accessed and used via other means such as Matlab, Matematica or Python. After a short introduction to the software we will look into methods to deal with the...
02/07/2020 Applied Mathematics and Computation Seminar On the Modeling of Particle-laden Fluid Flows Particle-laden fluid flows, wherein a large number of small size particles are dispersed in a fluid, often undergoing turbulent motions, are widely encountered in nature, biological and industrial applications. These flows are commonly modeled using an Euler-Lagrange (EL) approach wherein the...
02/05/2020 Mathematical Biology Seminar No seminar TBD
02/04/2020 Number Theory Seminar Conjectures for number field counting (VaNTAGe virtual seminar)