Melissa Strait, “Phase-field models of two-fluid flow in a capillary tube and Hele-Shaw cell”
SAS 4201Advised by Michael Shearer.
Advised by Michael Shearer.
The Math Graduation Ceremony for Spring 2017 will be held on Friday, May 12th at 3:00 pm in 2203 SAS Hall.
We will describe results on the center of the universal central extension of certain Krichever-Novikov algebras. In particular we will describe how various families of classical and non-classical orthogonal polynomials appear. We will also provide certain new identities of elliptic integrals. This material we will cover was obtained in joint work with V. Futorny, J.…
The g-stable Demazure modules are a lot of interest because of their connections to representation theory of quantum affine algebras. These modules are indexed by a pair (ell, lambda) where ell is a positive integer and lambda is a dominant integral weight of g and are denoted as D(ell,lambda). Naoi proves that for m>=ell, D(ell,lambda)…
New infectious disease outbreaks have great impact on communities over the world, as recently manifested by the Ebola outbreak. An important statistical task is then to predict the future scenario with and with out preventive measures. In the current talk we will investigate such analyses and see how it can be improved. The main catch…
Advised by Bojko Bakalov.
Advised by Kazufumi Ito.
Advised by Mette Olufsen.
At 3:45 we will have ice cream in SAS 4104.
Khovanov homology is a recent link invariant that lifts the Jones polynomial. We analyze torsion in Khovanov homology by describing a related homology theory that lifts the chromatic polynomial. In particular, we describe torsion in Khovanov homology of several link families and compute the fourth extreme coefficients of the Jones polynomial for certain links.
The Association for Women in Mathematics (AWM) will be hosting a welcome event to kick off the beginning of the semester! We will talk a little bit about what our club is about and the types of events we will be hosting throughout the semester, and also play some ice breaker games so everyone can…
For models with high-dimensional input spaces, constructing accurate response surfaces can be prohibitively expensive. Additionally, the high-dimensionality of the parameter spaces can impact the computational cost of a parameter investigation. Using an active subspace construction, we can efficiently approximate complex models by constructing low-order response surfaces based on a smaller subspace of the high-dimensional parameter…
In June 23, 2006's "Science" magazine, Pendry et al and Leonhardt independently published their papers on electromagnetic cloaking. In Nov.10, 2006's Science magazine, Pendry et al demonstrated the first practical realization of such a cloak with the use of artificially constructed metamaterials. Since then, there is a growing interest in using metamaterials to design invisibility cloaks.…
The Association for Women in Mathematics (AWM) will be hosting our weekly brown bag lunch. Attendees bring their own lunches, and have the opportunity to be in a casual discussion environment, while we provide a tasty treat! AWM is NOT exclusively for women, and we would like to emphasize that everyone is welcome join us…
In the 1980’s Furuta and Fintushel-Stern applied the theory of instantons and Chern-Simons invariants to develop a criterion for a collection of Seifert fibred homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. These results, together with some 4-dimensional constructions can be used to show that iterated Whitehead doubles of positive…
A generic rectangulation is a tiling of a rectangle by rectangles, with no four rectangles sharing a single corner (think: no Arizona, Colorado, New Mexico and Utah). For example: We want to ignore lengths of edges and just look at the different configurations of rectangles. In this way of thinking, the rectangulations and are the…
Clustering is a fundamental unsupervised learning technique that aims to discover groups of objects in a dataset. Biclustering extends clustering to two dimensions where both observations and variables are grouped simultaneously, such as clustering both cancerous tumors and genes or both documents and words. In this work, we develop and study a convex formulation of the…