## Upcoming Events

## Harm Derksen, University of Michigan, Matrix Invariants and Complexity

We consider the action of the group SL_n x SL_n on the space of m-tuples of n x n matrices by simultaneous left-right multiplication. Visu Makam and the speaker recently proved that invariants of degree at most mn^4 generate the invariant ring. This…

Find out more »## Tao Pang, NCSU, Some Topics on Financial Mathematics

Several topics will be presented in this talk. In the first part, we consider some portfolio optimization problems with stochastic dividends, stochastic volatility or delays. The Hamilton-Jacobi-Bellman (HJB) equations are derived, which are second order nonlinear PDEs. We then establish…

Find out more »## Grey Ballard, Wake Forest University, Tensor Decompositions for Multidimensional Data Analysis

An increasing number of scientific and enterprise data sets are multidimensional, where data is gathered for every configuration of three or more parameters. For example, physical simulations often track a set of variables in two or three spatial dimensions over…

Find out more »## Allison Miller, UT Austin, Winding number of satellite operators and concordance

Historically, the study of the collection of concordance classes of knots has focused on understanding its group structure while devoting relatively little attention to the natural metric induced by the 4-genus. Cochran and Harvey investigated the metric properties of the maps on concordance induced…

Find out more »## 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 »## Antonio Marigonda, University of Verona, Italy, Sovereign debt management problem with currency devaluation

We propose a model of sovereign debt management, where a state trade some bonds to service the debt with a pool of risk-neutral competitive foreign investors. At each instant of time, the government decides which fraction of the GDP (subject…

Find out more »## Michael Ruddy, NC State, What is Inquiry-Based Learning?

There is an increased interest in alternatives to the traditional lecture-based instruction in math courses. Inquiry-Based Learning (IBL) is a teaching philosophy that challenges students to think more like mathematicians by posing questions rather than presenting established facts. In this…

Find out more »## Cynthia Vincent, NC State, Convex sets and the geometry of numbers

Quite a large polygon can squeeze between the integer points in the plane, but what if it has to be symmetric bout the origin (and avoid all other integer points)? In this talk, I’ll discuss Minkowski’s theorem, which bounds the area of such shapes,…

Find out more »## Seth Sullivant, NC State, Algebraic Statistical Models in Phylogenetics

Phylogenetics is the branch of mathematical biology concerned with constructing evolutionary relationships between collections of species. These lectures will introduce these models, in particular emphasizing the ways that algebraic statistics can be used to analyze properties of the models. Viewed…

Find out more »## Nathan Reading, NC State, To scatter or to cluster?

Scattering diagrams arose in the algebraic-geometric theory of mirror symmetry. Recently, Gross, Hacking, Keel, and Kontsevich applied scattering diagrams to prove many longstanding conjectures about cluster algebras. Scattering diagrams are certain collections of codimension-1 cones, each weighted with a formal power series. In this…

Find out more »## Wilkins Aquino, Duke University, A Locally Adapted Reduced Basis Method for Solving Risk-Averse PDE-Constrained Optimization Problems

The numerical solution of large-scale risk-averse PDE-constrained optimization problems requires substantial computational effort due to the discretization in physical and stochastic dimensions. Managing the cost is essential to tackle such problems with high dimensional uncertainties. In this work, we combine an inexact trust-region…

Find out more »## Jennifer Hom, Georgia Tech, Heegaard Floer and homology cobordism

We study applications of Heegaard Floer homology to homology cobordism. In particular, to a homology sphere Y, we associate a module HF_conn(Y), called the connected Heegaard Floer homology of Y, and show that this module is invariant under homology cobordism…

Find out more »## 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 »## Elmas Irmark, University of Michigan, Simplicial Maps of Complexes of Curves and Mapping Class Groups of Surfaces

I will talk about recent developments on simplicial maps of complexes of curves on both orientable and nonorientable surfaces. I will also talk about joint work with Prof. Luis Paris. We prove that on a compact, connected, nonorientable surface of genus…

Find out more »## 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 »## Gabor Pataki, UNC-Chapel Hill, Bad semidefinite programs, linear algebra, and short proofs

Semidefinite programs (SDPs) -- optimization problems with linear constraints, linear objective, and semidefinite matrix variables -- are some of the most useful, versatile, and pervasive optimization problems to emerge in the last 30 years. They find applications in combinatorial optimization, machine learning, and statistics, to…

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