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February 2019

Jose Figueroa-Lopez, Utility Maximization in Hidden Regime-Switching Markets with Default Risk

February 8, 2019 | 3:00 pm - 4:00 pm EST
SAS 4201,

We consider the problem of maximizing expected utility from terminal wealth for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by…

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March 2019

Sarah Yeakel, University of Maryland, Isovariant Homotopy Theory

March 20, 2019 | 4:00 pm - 5:00 pm EDT
SAS 4201,

Fixed point theory studies the extent to which fixed points of a self map of a space are intrinsic. In many mathematical settings, the existence of a solution can be rephrased in terms of the existence of a fixed point…

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April 2019

Sherli Koshy-Chenthittayil, University of Connecticut, Mathematical modeling in biological scenarios

April 4, 2019 | 2:00 pm - 3:00 pm EDT
SAS 4201,

My research has been in two broad areas namely mathematical biology and disability studies. This talk will touch upon three of my projects in mathematical biology and one project in disability studies. The mathematical biology section will cover the work…

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November 2019

Antonio De Rosa,Courant Institute of Mathematical Sciences, New York University, Elliptic integrands in variational problems

November 13, 2019 | 3:00 pm - 4:00 pm EST
SAS 4201,

Elliptic integrands are used to model anisotropic energies in variational problems. These energies are employed in a variety of applications, such as crystal structures, capillarity problems and gravitational fields, to account for preferred inhomogeneous and directionally dependent configurations. After a…

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Blair Davey, City College of New York, New York, How to obtain parabolic theorems from their elliptic counterparts

November 14, 2019 | 4:15 pm - 5:15 pm EST
SAS 4201,

Experts have long realized the parallels between elliptic and parabolic theory of partial differential equations. It is well known that elliptic theory may be considered a static, or steady-state, version of parabolic theory. And in particular, if a parabolic estimate…

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Ruimeng Hu, Columbia University, Deep Fictitious Play for Stochastic Differential Games

November 18, 2019 | 3:00 pm - 4:00 pm EST
SAS 4201,

Differential games, as an offspring of game theory and optimal control, provide the modeling and analysis of conflict in the context of a dynamical system. Computing Nash equilibria is one of the core objectives in differential games, with a major…

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Wenpin Tang, University of California, Berkeley, Discrete and continuous ranking models

November 19, 2019 | 4:15 pm - 5:15 pm EST
SAS 4201,

In this talk, I will discuss two different 'ranking' models: Mallows' ranking model and rank-dependent diffusions. In the first part, I will discuss the rank-dependent diffusions. I will focus on two models: Up the River model, and N-player games with…

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January 2020

Alexander Shapiro, Univ. of California, Berkeley, Modular functor from higher Teichmüller theory

January 7, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

Quantized higher Teichmüller theory, as described by Fock and Goncharov, assigns an algebra and its representation to a surface and a Lie group. This assignment is equivariant with respect to the action of the mapping class group of the surface,…

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Maria-Veronica Ciocanel, Ohio State University, Stochastic and continuum dynamics in cellular transport

January 10, 2020 | 1:00 pm - 2:00 pm EST
SAS 4201,

The cellular cytoskeleton is essential in proper cell function as well as in organism development. These filaments represent the roads along which most protein transport occurs inside cells. I will discuss examples where questions about filament-motor protein interactions require the…

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Corey Jones, Ohio State University, Fusion categories and their applications in mathematical physics

January 10, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

Fusion categories are rich mathematical structures generalizing the representation categories of finite groups. They arise in many areas of mathematics and physics. Most strikingly, they have emerged as models for particle-like excitations with exotic exchange statistics in low dimensional quantum…

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Peter McGrath, Univ. of Pennsylvania, Existence and Uniqueness Results for Minimal Surfaces

January 13, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

A hypersurface in a Riemannian manifold is called minimal if its mean curvature vanishes identically.  Minimal surfaces have fascinated mathematicians since the time of Euler, and tremendous progress has been made in understanding the structure of the space of embedded minimal surfaces…

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Charles Puelz, Courant Institute, Computer models and numerical methods for mathematical cardiology

January 21, 2020 | 4:15 pm - 5:15 pm EST
SAS 4201,

This talk will cover two approaches for modeling blood flow in the human body.  The first approach describes blood transport in elastic vessels and requires the numerical solution of a nonlinear hyperbolic system on branching vessel networks.  I will discuss some…

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Teemu Saksala, Rice University, Geometric Inverse Problems arising from Seismology

January 22, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

What can we tell about the interior structure of our planet, if we observe the travel time of a large number of earthquakes? This is the time it takes for a seismic wave to travel from the epicenter of the  earthquake to…

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Andrew Sageman-Furnas, Technical University of Berlin, Navigating the space of Chebyshev nets

January 23, 2020 | 3:00 pm - 4:00 pm EST
SAS 1102,

Many materials are built from a grid of flexible but nearly inextensible rods that behaves as a shell-like structure. Everyday examples range from fabrics made of 1000s of interwoven yarns; to kitchen strainers made of 100s of plastically deforming wires;…

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Lauren Childs, Virginia Tech, Modeling the waning and boosting of immunity: A case study of pertussis in Sweden

January 27, 2020 | 4:15 pm - 5:15 pm EST
SAS 4201,

Pertussis, commonly known as whooping cough, is caused by the bacterial pathogen Bordetella pertussis. Completely susceptible individuals experience severe disease, with the hallmark whooping cough, but those with partial immunity have milder, if any symptoms. Immunity following natural infection (or immunization)…

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Lucas Castle, Developing Non-Calculus Service Courses that Showcase the Applicability of Mathematics

January 28, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

Students often take precalculus or college algebra as a terminal math course, leaving them with the impression that mathematics lacks real meaning. Due to the increasingly interdisciplinary nature of the mathematical sciences, we are well-poised to intervene and design inspiring…

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Ellie Dannenberg, An Introduction to Circle Packing

January 30, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

A circle packing is the mathematical name for a collection of circles. I am interested in circle packings with a fixed pattern of tangencies between the circles. Given a tangency pattern, one might ask questions like, "Can I find a…

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February 2020

Rachel Neville, University of Arizona, Orthogonal Transformations and Symmetry Groups

February 3, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

In this demo, we will discover some interesting properties about symmetry by starting with some special transformation matrices. This talk will be a combination of interactive work with the material and some discussion of teaching strategies.

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Stepan Paul, Harvard, Isoptics, or how to design the perfect stadium

February 4, 2020 | 3:00 pm - 4:00 pm EST
SAS 4201,

How could you design a stadium so that a rectangular playing field looks the same size to every spectator? What about for a circular wrestling ring? In this talk, we study these and related questions, which can all be viewed…

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Guang Lin, Uncertainty Quantification and Scientific Machine Learning for Complex Engineering and Physical Systems

February 10, 2020 | 3:00 pm - 4:00 pm EST
SAS 1102,

Experience suggests that uncertainties often play an important role in quantifying the performance of complex systems. Therefore, uncertainty needs to be treated as a core element in the modeling, simulation, and optimization of complex systems. In this talk, I will…

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