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DTSTART;TZID=America/Chicago:20240502T130000
DTEND;TZID=America/Chicago:20240502T150000
DTSTAMP:20260422T200632
CREATED:20240411T204638Z
LAST-MODIFIED:20240429T133426Z
UID:10016155-1714654800-1714662000@uwm.edu
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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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240502T160000
DTEND;TZID=America/Chicago:20240502T170000
DTSTAMP:20260422T200632
CREATED:20240425T191913Z
LAST-MODIFIED:20240425T192108Z
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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
X-TRIBE-STATUS:
GEO:43.075931;-87.885538
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T083000
DTEND;TZID=America/Chicago:20240503T090000
DTSTAMP:20260422T200632
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:20260422T200632
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
X-TRIBE-STATUS:
GEO:43.0758771;-87.8858312
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T140000
DTEND;TZID=America/Chicago:20240503T153000
DTSTAMP:20260422T200632
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
X-TRIBE-STATUS:
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240506T130000
DTEND;TZID=America/Chicago:20240506T140000
DTSTAMP:20260422T200632
CREATED:20240506T153439Z
LAST-MODIFIED:20240506T153439Z
UID:10016163-1715000400-1715004000@uwm.edu
SUMMARY:MS Thesis Defense: Mr. Silas Winnemoeller
DESCRIPTION:A Finite Element Block Modified Backward Euler Method For Solving A One-Dimensional Poisson-Nernst-Planck Ion Channel Model\nMr. Silas Winnemoeller\nUniversity of Wisconsin-Milwaukee \nIn this thesis\, a finite element block modified backward Euler method is introduced to solve a one-dimensional Poisson-Nernst-Planck ion channel (1D PNPic) model. This model is defined as a system of time-dependent nonlinear partial differential equations\, called Poisson-Nernst equations and Poisson equation\, describing the transport of charged ionic species across a cell membrane via an ion channel pore. For an electrolyte with n ionic species\, its numerical solution gives a prediction to n ionic concentration functions and an electrostatic potential function. However\, solving the 1DPNPic model numerically is challenging due to the model’s strong nonlinearity and numerical stability issues. To address the numerical stability issues\, the traditional backward Euler implicit time scheme is often selected to solve the 1DPNPic model but it may be too costly to be practical in application since it has to solve a system of n + 1 strongly nonlinear partial differential equations at each time step. Hence\, its modification becomes necessary to reduce its computing cost while retaining its numerical stability properly. In this thesis\, the new method is constructed by semi-discretization and finite element techniques such that its each time iteration only involves calculation within two blocks with each block only containing two linear differential equations. Consequently\, the new method can reduce the\ncomputing cost of the Euler scheme sharply. In this thesis\, the new method is implemented as a software package in Python based on the finite element library from the FEniCS project. Numerical tests are then done for an electrolyte with two ionic species\, demonstrating the convergence and high performance of the new method. \nAdvisor: Prof. Dexuan Xie \nCommittee Members:\nProfs. Lei Wang\, Vincent Larson\, and Dexuan Xie \n 
URL:/math/event/ms-thesis-defense-mr-silas-winnemoeller/
LOCATION:EMS Building\, Room E416\, 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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