Graduate Student Colloquia

Coupling of Diffusions by Reflection Mr. Daniel Noelck Dissertator University of Wisconsin - Milwaukee “Assume two independent random walks with identical transition probabilities but different starting points run until they meet. The instance they meet is called the coupling time,... Read More

Deep neural networks as kernel machines: An approach to explain the mysteriously superb performance of ANNs Ms. Gitte Kremling Graduate Teaching Assistant University of Wisconsin - Milwaukee “Due to their extremely good performance, artificial neural networks (ANNs) have been a... Read More

The Collatz Conjecture Mr. Daniel Gulbrandsen Graduate Teaching Assistant University of Wisconsin - Milwaukee “The Collatz Conjecture (Lothar Collatz, 1937) is simple to state:Begin with any positive integer. If the integer is even, divide by it 2. If the integer... Read More

The McKean-Vlassov SDE Mr. Daniel Noelck Graduate Teaching Assistant University of Wisconsin - Milwaukee “Imagine a school of fish or a flock of birds moving together. Each individual fish or bird is moving on its own, but somehow also following... Read More

A show-and-tell of generating functions Mr. William Erickson Graduate Teaching Assistant University of Wisconsin - Milwaukee “A generating function is often described as "a clothesline on which we hang up a sequence of numbers to display." Specifically, a generating function... Read More

Introduction to Coarse Homotopy Groups Mr. William Braubach Graduate Teaching Assistant University of Wisconsin - Milwaukee “In algebraic topology, homotopy groups of a space are a useful tool for various things. In large scale geometry there are analogous type of... Read More

Detection of Multidecadal Changes in Vegetation Dynamics and Association with Intra-Annual Climate Variability in the Columbia River Basin Mr. Andrew Whetten Graduate Teaching Assistant University of Wisconsin - Milwaukee “Remotely-sensed Leaf Area Index (LAI) is a useful metric for assessing... Read More

An Introduction to the Bootstrap Method Ms. Gitte Kremling Graduate Teaching Assistant University of Wisconsin - Milwaukee “Assume we are interested in the average length of fish in Lake Michigan. Since we cannot measure the length of all fish, we... Read More

Non-hyperbolic right-angled Coxeter groups with Menger curve boundary Mr. Cong He University of Wisconsin-Milwaukee Dissertator We find a class of simplicial complexes as nerves of CAT(0) right-angled Coxeter groups, with boundary homeomorphic to the Menger curve. Our nerves are triangulations... Read More