Mathematics around the Heisenberg Group Prof. Roger Howe Professor Emeritus Yale University In the mid 1920s, Werner Heisenberg formulated the CCR – canonical commutation relations – describing the relationship between the operations of measuring position and of measuring momentum of... Read More
Coarse Homotopy Extension Property and its Applications Mr. William Braubach University of Wisconsin-Milwaukee A pair (X, A) has the homotopy extension property if any homotopy of A can be extended to a homotopy of X. The main goal of this... Read More
Counting Orbits of Defective Parking Functions Alex Moon PhD Student University of Wisconsin-Milwaukee Parking functions are well-studied objects in combinatorics and representation theory which constitute tuples of preferred parking spots for cars under a linear parking scheme. This talk will... Read More
Markov Chain Model of Three-Dimensional Daphnia Magna Movement Ms. Helen Kafka University of Wisconsin-Milwaukee Daphnia magna make turns through an antennae-whipping action. This action occurs every few seconds, hence, during the intervening time, the animal either remains in place or... Read More
Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin Mr. Russell Latterman University of Wisconsin-Milwaukee Changepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. We take a Bayesian... Read More
Utilizing ARMA Models for Non-Independent Replications of Point Processes Mr. Lucas Fellmeth University of Wisconsin-Milwaukee The use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated... Read More
Adding a Third Normal to CLUBB Mr. Sven Bergmann University of Wisconsin-Milwaukee The Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer... Read More
Contraction Rates For McKean-Vlassov Stochastic Differential Equations Mr. Dan Noelck University of Wisconsin-Milwaukee This work focuses on the contraction rates for McKean-Vlasov stochastic differential equations (SDEs), McKean-Vlasov Stochastic differential delay equations (SDDEs), and path dependent McKean-Vlasov stochastic differential equations. Under... Read More
Hyperbolic groups, their boundaries and drilling Prof. Genevieve Walsh Professor of Mathematics Tufts University We will define and describe groups with a particular geometry, hyperbolic groups. We will define the boundary of a hyperbolic group and give many examples. If... Read More