August 2017

## Daniel Scofield, NC State, Patterns in Khovanov homology

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…

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## Jichun Li, University of Nevada Las Vegas, Electromagnetic cloaking: mathematical analysis and simulation

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…

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September 2017

## Joey Hart, NCSU, SIAM Tutorial Series: Introduction to Monte Carlo Methods

In this lecture we will present basis theoretical and algorithmic properties of Monte Carlo methods. In particular, their convergence properties and implementational simplicity will be highlighted. There are a variety of Monte Carlo methods but we will focus on two,…

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## Adam Levine, Duke, Heegaard Floer invariants for homology $S^1 \times S^3$s

Using Heegaard Floer homology, we construct a numerical invariant for any smooth, oriented 4-manifold X with the homology of $S^1 \times S^3$. Specifically, we show that for any smoothly embedded 3-manifold Y representing a generator of H_3(X), a suitable version…

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October 2017

November 2017