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DTSTART;TZID=America/Chicago:20240430T130000
DTEND;TZID=America/Chicago:20240430T140000
DTSTAMP:20260423T121117
CREATED:20240425T192637Z
LAST-MODIFIED:20240425T192637Z
UID:10016162-1714482000-1714485600@uwm.edu
SUMMARY:MS Thesis Defense: Ms. Helen Kafka
DESCRIPTION:Markov Chain Model of Three-Dimensional Daphnia Magna Movement\nMs. Helen Kafka\nUniversity of Wisconsin-Milwaukee \nDaphnia 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 continues movement roughly along its current course. We view their movement in three dimensions. We divide the movement in the three dimensions into the movement on a two-dimensional lattice and the movement between the different planes. For the movement on the lattice\, we construct a second-order Markov chain model to make predictions about which region of the lattice the animal moves to based on where it was at the last two time points. The movement between the different planes is simulated by a first-order Markov chain. \nAdvisor: Prof. David  Spade \nCommittee Members:\nProfs. David Spade\, Jeb Willenbring\, and Chudamani Poudyal
URL:/math/event/ms-thesis-defense-ms-helen-kafka/
LOCATION:EMS Building\, E408\, 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
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BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240502T130000
DTEND;TZID=America/Chicago:20240502T150000
DTSTAMP:20260423T121117
CREATED:20240411T204638Z
LAST-MODIFIED:20240429T133426Z
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SUMMARY:PhD Dissertation Defense: Mr. Russell Latterman
DESCRIPTION:Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin\nMr. Russell Latterman\nUniversity of Wisconsin-Milwaukee \nChangepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. We take a Bayesian approach to estimating points in time at which the parameters of an autoregressive moving average (ARMA) change\, applying a Markov Chain Monte Carlo method. We specifically assume that data may originate from one of two groups. We provide estimates of all multi-group parameters of a model of this form for both simulated and real-world data sets. We include a provision to resolve the problem of confounding ARMA parameter estimates and variance of segment data. We apply our model to identify events that may have contributed to the 2020 and 2021 outbreaks of COVID-19 in Waukesha County\, Wisconsin. \nAdvisor: Prof. David Spade \nCommittee Members:\nProfs. Richard Stockbridge\, Istvan Lauko\, Chao Zhu\, and Vytaras Brazauskas
URL:/math/event/phd-dissertation-defense-mr-russell-latterman/
LOCATION:EMS Building\, Room E424A\, E424A; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.0758771;-87.8858312
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BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240502T160000
DTEND;TZID=America/Chicago:20240502T170000
DTSTAMP:20260423T121117
CREATED:20240425T191913Z
LAST-MODIFIED:20240425T192108Z
UID:10016160-1714665600-1714669200@uwm.edu
SUMMARY:MS Thesis Defense: Mr. Lucas Fellmeth
DESCRIPTION:Utilizing ARMA Models for Non-Independent Replications of Point Processes\nMr. Lucas Fellmeth\nUniversity of Wisconsin-Milwaukee \nThe use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated point processes under the assumption of independent replications. We show these component scores can be modeled using classical autoregressive moving average (ARMA) models\, thus allowing us to also apply the FPCA model to non-independent replications. The Divvy bike-sharing system in the city of Chicago is showcased as an application. \nAdvisor: Prof. Daniel Gervini \nCommittee Members:\nProfs. Daniel Gervini\, David Spade\, and Chudamani Poudyal
URL:/math/event/ms-thesis-defense-mr-lucas-fellmeth/
LOCATION:EMS Building\, E408\, 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T083000
DTEND;TZID=America/Chicago:20240503T090000
DTSTAMP:20260423T121117
CREATED:20240425T192401Z
LAST-MODIFIED:20240425T192401Z
UID:10016161-1714725000-1714726800@uwm.edu
SUMMARY:MS Thesis Defense: Mr. Sven Bergmann
DESCRIPTION:Adding a Third Normal to CLUBB\nMr. Sven Bergmann\nUniversity of Wisconsin-Milwaukee \nThe 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 of an atmospheric model. This binormal approach\, while computationally efficient\, restricts the model’s ability to capture the full spectrum of potential shapes encountered in real-world atmospheric data. This thesis proposes to introduce a third normal pdf component strategically positioned between the existing two\, significantly enhancing the model’s representational flexibility. This trinormal representation allows for a wider range of grid-layer shapes while permitting analytic solutions for certain higher order moments. The core of this work lies in deriving the necessary mathematical transformations for incorporating the third normal pdf seamlessly into the CLUBB framework. This thesis lists all formulas\, inputs\, and outputs associated with the extended model as well as gives an outline\non how to check those equations. Additionally\, it describes certain asymptotic behavior of the trinormal pdf under various parameter settings. \nAdvisor: Prof. Vince Larson \nCommittee Members:\nProfs. Vince Larson\, Peter Hinow\, and David Spade
URL:/math/event/ms-thesis-defense-mr-sven-bergmann/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T133000
DTEND;TZID=America/Chicago:20240503T140000
DTSTAMP:20260423T121117
CREATED:20240411T204952Z
LAST-MODIFIED:20240429T181640Z
UID:10016156-1714743000-1714744800@uwm.edu
SUMMARY:PhD Dissertation Defense: Mr. Dan Noelck
DESCRIPTION:Contraction Rates For McKean-Vlassov Stochastic Differential Equations\nMr. Dan Noelck\nUniversity of Wisconsin-Milwaukee \nThis 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.\nUnder suitable conditions on the coefficients of the SDE\, this dissertation derives explicit quantitative contraction rates for the convergence in Wasserstein distances of McKean-Vlasov SDEs using the coupling method. The contraction results are then used to prove a propagation of chaos uniformly in time\, which\nprovides quantitative bounds on convergence rate of interacting particle systems\, and establishes exponential ergodicity for McKean-Vlasov SDEs. The dissertation further develops suitable conditions on the coefficients of the McKean-Vlasov SDDE to obtain a contraction in Wasserstein distance using the coupling method again. These results are used to establish exponential ergodicity for McKean-Vlasov SDDEs. Last the dissertation obtains suitable conditions on the coefficients of the path dependent McKean-Vlasov SDE for a contraction in Wasserstein distance. \nAdvisor: Prof. Chao Zhu \nCommittee Members:\nProfs. Lijing Sun\, Jeb Willenbring\, Richard Stockbridge\, and Peter Hinow
URL:/math/event/phd-dissertation-defense-mr-dan-noelck/
LOCATION:EMS Building\, Room E423\, E423; 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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GEO:43.0758771;-87.8858312
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T140000
DTEND;TZID=America/Chicago:20240503T153000
DTSTAMP:20260423T121117
CREATED:20240422T130711Z
LAST-MODIFIED:20240422T131628Z
UID:10016158-1714744800-1714750200@uwm.edu
SUMMARY:Colloquium: Prof. Genevieve Walsh
DESCRIPTION:Hyperbolic groups\, their boundaries and drilling\nProf. Genevieve Walsh\nProfessor of Mathematics\nTufts University \nWe 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 time permits\, we will define a drilling of a hyperbolic group and explore how this operation changes the boundary. Any new work is joint with Groves\, Haissinsky\, Manning\, Osajda and Sisto.
URL:/math/event/colloquium-prof-genevieve-walsh/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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