## Upcoming Events

## February 2019

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

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…

Find out more## March 2019

## Sarah Yeakel, University of Maryland, Isovariant Homotopy Theory

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…

Find out more## April 2019

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

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…

Find out more## November 2019

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

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…

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

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…

Find out more## Ruimeng Hu, Columbia University, Deep Fictitious Play for Stochastic Differential Games

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…

Find out more## Wenpin Tang, University of California, Berkeley, Discrete and continuous ranking models

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…

Find out more## January 2020

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

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,…

Find out more## Maria-Veronica Ciocanel, Ohio State University, Stochastic and continuum dynamics in cellular transport

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…

Find out more## Corey Jones, Ohio State University, Fusion categories and their applications in mathematical physics

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…

Find out more## Peter McGrath, Univ. of Pennsylvania, Existence and Uniqueness Results for Minimal Surfaces

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…

Find out more## Charles Puelz, Courant Institute, Computer models and numerical methods for mathematical cardiology

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…

Find out more## Teemu Saksala, Rice University, Geometric Inverse Problems arising from Seismology

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…

Find out more## Andrew Sageman-Furnas, Technical University of Berlin, Navigating the space of Chebyshev nets

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;…

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

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)…

Find out more## Lucas Castle, Developing Non-Calculus Service Courses that Showcase the Applicability of Mathematics

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…

Find out more## Ellie Dannenberg, An Introduction to Circle Packing

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…

Find out more## February 2020

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

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.

Find out more## Stepan Paul, Harvard, Isoptics, or how to design the perfect stadium

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…

Find out more## Guang Lin, Uncertainty Quantification and Scientific Machine Learning for Complex Engineering and Physical Systems

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…

Find out more