Combinatorial Problems Related to Optimal Transport and Parking Functions Mr. Jan Kretschmann University of Wisconsin-Milwaukee Dissertator In the first part, we show contributions to optimal transport through work on the discrete Earth Mover's Distance (EMD). We provide a new formula... Read More
Is ax+b a Unimodular Group? Mrs. Jinchun Chen University of Wisconsin-Milwaukee PhD Graduate Student - Dissertator “In this talk, we will answer this question by talking about Haar measure on a locally compact group. In the process, we will give... Read More
Dynamic Pricing with Variable Order Sizes Nyles Breecher University of Wisconsin-Milwaukee PhD Graduate Student - Dissertator “Dynamic Pricing is the practice of adjusting prices based on market conditions in order to maximize profit. One example is airline pricing, where prices... Read More
Golden Cantor Set Mr. Mark Carthon III University of Wisconsin-Milwaukee MS Graduate Student “What is it that makes the Golden Ratio so interesting? For mathematics, the Golden Ratio gets its interest from its amazing collection of self-reproducing properties. We will... Read More
Birthday Paradox Prayagdeep Parija University of Wisconsin-Milwaukee PhD Graduate Student “We revisit the celebrated birthday paradox(in a group of more than 23 people, there is at least a 50% chance that 2 people share the same birthday) and look at... Read More
The Probability that Two Lines Meet Four in F_q P^3 Adam Buck University of Wisconsin-Milwaukee PhD Graduate Student “In projective 3-space over ℝ, there are exactly two lines which meet four “random” lines with probability 1. If we change ℝ... Read More
Emmy Noether: Symmetry and Conservation Laws Alexander Heaton University of Wisconsin-Milwaukee PhD Graduate Student “Whenever the laws of motion of some physical system have a symmetry, there is some corresponding conserved quantity. For example, an asteroid tumbling through outer space... Read More
Numerical Solutions of Fractional Nonlinear Advection-Reaction-Diffusion Equations Sophia Vorderwuelbecke University of Wisconsin-Milwaukee MS Graduate Student “In this thesis non-linear differential equations containing advection, reaction and diffusion terms are solved numerically, where the diffusion term is modelled by a fractional derivative.... Read More
Optimal Trading Under the American Perpetual Put Option for Geometric Brownian Motion and Mean-Reverting Processes Ines Siebigteroth University of Wisconsin-Milwaukee MS Student "This thesis is focused on the perpetual American put option under the geometric Brownian motion and mean-reverting models.... Read More
Black-Scholes Model: An Analysis of the Influence of Volatility Cornelia Krome University of Wisconsin-Milwaukee Graduate Student "In this thesis the influence of volatility in the Black-Scholes model is analyzed. The deduced Black-Scholes formula estimates the price of European options. Contrary... Read More