September 2017

## Joey Hart, NC State, 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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## Tye Lidman, NC State, Band surgeries and lens space surgeries

Dehn surgery is a fundamental operation in three-manifold topology which turns a knot into a new three-manifold. We characterize Dehn surgeries between certain lens spaces and relate this to an elementary question in knot theory. This is joint work with…

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## What Is?

Lie Algebras, manifolds, varieties. We have all heard terms like these, but may not know quite what they mean. This week we will have introductory "What Is?" talks. These talks are intended to build your vocabulary/intuition for future talks. This…

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## Richard Rimanyi, UNC Chapel Hill, Counting partitions and quantum dilogarithm identities

In the theory of Donaldson-Thomas invariants for quivers one finds identities for quantum dilogarithm series. The combinatorial interpretation of the simplest of these identities is equivalent to a clever way of counting partitions. The combinatorial interpretation of more involved dilogarithm…

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## Nik Bravo, Data-Driven Model Development and Feedback Control Design for PZT Bimorph Actuators and Lider Leon, Parameter and Active Subspace Analysis for a Polydomain Ferroelectric Phase Field Model

Nik Bravo: Title: Data-Driven Model Development and Feedback Control Design for PZT Bimorph Actuators Abstract: In the talk, we discuss the development of a high-fidelity and surrogate model for a PZT bimorph used as an actuator for micro-air vehicles including…

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## AWM weekly brown bag lunch

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…

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## Xiao Bao Lin, NC State, Chaotic Traveling Wave Solutions In Coupled Circuits

Coupled array of Chua's circuits has been studied for many years. Some experimental and numerical study of traveling waves were conducted by Perez and Chua in 1993. Existence of periodic traveling waves were proved by S.-N. Chow, M. Jiang and…

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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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## Hamid Krim, SIAM Student Chapter Data Science Lecture Series: Convexity, Sparsity, Nullity and all that in Machine Learning

High dimensional data exhibit distinct properties compared to its low dimensional counterpart; this causes a common performance decrease and a formidable computational cost increase of traditional approaches. Novel methodologies are therefore needed to characterize data in high dimensional spaces. Considering…

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## Davis Atkinson, Graham Pash, and Jaye Sudweeks, Modeling the New Jersey Turnpike in 99 Hours

“When am I going to use this?”      It’s a question every student has asked at least once. The Modeling Contest in Mathematics (MCM), held annually by COMAP, provides a way for undergraduates to apply the knowledge gained from…

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## Math Doesn’t Bug Me

Discover the beauty of mathematics and its wide applicability in everyday life. Enjoy math games and poster presentations, and interact with NCSU mathematicians

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## Leonardo Mihalcea, Chern-Schwartz-MacPherson classes for Schubert cells: geometry and representation theory

A compact manifold has a tangent bundle, and a natural question is to find a replacement for the Chern classes of the tangent bundle, in the case when the space is singular. The Chern-Schwartz-MacPherson (CSM) classes are homology classes which…

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## Shu-Cherng Fang, NC State ISE, Linear Reformulation of Polynomial Discrete Programming for Fast Computation

Optimization models involving a polynomial objective function and multiple polynomial constraints with discrete variables are often encountered in engineering, management and systems. Treating the non-convex cross-product terms is the key. State-of- the-art methods usually convert such a problem into a…

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## Erdal Imamoglu, NC State, Algorithms for Solving Linear Differential Equations with Rational Function Coefficients

We present two algorithms for computing hypergeometric solutions of a second order linear differential equation with rational function coefficients. Our first algorithm uses quotients of formal solutions, modular reduction, Hensel lifting, and rational reconstruction. Our second algorithm first tries to…

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## AWM weekly brown bag lunch

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…

Find out more »