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DTSTART;TZID=America/New_York:20260415T160000
DTEND;TZID=America/New_York:20260415T170000
DTSTAMP:20260704T140735
CREATED:20260113T194408Z
LAST-MODIFIED:20260324T201819Z
UID:10000025-1776268800-1776272400@mathstats.uncg.edu
SUMMARY:Helen Barton Lecture: "Constructing Features from Data: Geometry\, Dimension\, Reduction\, and Invariants"
DESCRIPTION:This talk explores how to construct meaningful features from noisy\, high-dimensional data by leveraging geometric and invariant structures. First\, we introduce a geometric framework for dimension reduction using a power-weighted path metric\, which effectively de-noises high-dimensional data while preserving its intrinsic geometric structure. This framework is particularly useful for analyzing single-cell RNA data and for multi-manifold clustering\, and we provide theoretical guarantees for the convergence of the associated graph Laplacian operators.  \n\n\n\nWe then turn to the problem of constructing features invariant to group actions in the multi-reference alignment (MRA) data model. In this setting one has many noisy observation of a hidden signal corrupted by both a group action(s) and additive noise\, and one wants to recover the hidden signal from the noisy data. By formulating MRA in function space\, we uncover a new connection to deconvolution: the hidden signal can be recovered from second-order Fourier statistics via an approach analogous to Kotlarski’s identity. We extend this identity to general dimensions\, analyze recovery in the presence of vanishing Fourier transforms\, and validate the resulting deconvolution framework with both theoretical guarantees and numerical experiments. \n\n\n\n\n\nVirtual Lecture on Teams\n\n\n\n\n\nAbout the Speaker\n\n\n\nAnna Little is an Assistant Professor of Mathematics at the University of Utah and a core member of the Utah Center for Data Science and AI. She received a PhD in mathematics from Duke University in 2011 and was an Assistant Professor of Mathematics at Jacksonville University from 2012-2017\, a primarily undergraduate liberal arts institution. \n\n\n\nMotivated by a desire to focus more of her professional energy on research\, she left Jacksonville University in 2018 to complete a research postdoc at Michigan State University. After completing her postdoc\, she began a tenure-track position at the University of Utah in 2021. She has been the principal investigator on multiple grants from the National Science Foundation\, including an NSF CAREER award in 2025. Her research interests include geometric and graph-based methods forhigh-dimensional data analysis and signal processing with group invariant features.
URL:https://mathstats.uncg.edu/event/helen-barton-lecture-4/
LOCATION:North Carolina
CATEGORIES:Helen Barton Lecture Series
ATTACH;FMTTYPE=image/png:https://mathstats.uncg.edu/wp-content/uploads/2026/03/sqHB_Lecture_AnnaLittle_041526.png
ORGANIZER;CN="UNCG Mathematics & Statistics Department":MAILTO:mathstats@uncg.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260318T160000
DTEND;TZID=America/New_York:20260318T170000
DTSTAMP:20260704T140735
CREATED:20260113T194004Z
LAST-MODIFIED:20260305T150144Z
UID:10000024-1773849600-1773853200@mathstats.uncg.edu
SUMMARY:Helen Barton Lecture: The Math and Politics of Counting People
DESCRIPTION:Professor Moon Duchin\, University of Chicago \n\n\n\nTitle: The Math and Politics of Counting People \n\n\n\nAbstract: The Census is our most fundamental tool for measuring who lives in the United States\, and where. Ever since the founding of the country\, the categories have reflected how Americans think about ourselves\, and the data gets used for everything from funding allocations to political districting. So\, it might be surprising that the most recent Decennial Census included intentional injections of random numbers to noise the data for privacy protection. This was hugely controversial! In this talk\, Moon Duchin will explain some of the history and the impacts of how we enumerate the country. \n\n\n\nMoon Duchin is a Professor of Computer Science and Data Science at the University of Chicago. Her background in pure math centers on geometry\, topology\, groups\, and dynamics; her applied work uses these tools to build algorithms and models to study the mechanisms of democracy. She runs a multidisciplinary lab bringing math and computing into conversation with law\, policy\, and geography. Duchin has served as an expert In numerous voting rights court cases around the country\, and she is the co-editor of the volume Political Geometry. She is also an external faculty member at the Santa Fe Institute\, which is dedicated to the study of complex systems. Duchin is a Fellow of the American Mathematical Society.
URL:https://mathstats.uncg.edu/event/helen-barton-lecture-3/
LOCATION:Petty Science Building Room 150\, 317 College Ave\, Greensboro\, North Carolina\, 27412
CATEGORIES:Helen Barton Lecture Series
ATTACH;FMTTYPE=image/png:https://mathstats.uncg.edu/wp-content/uploads/2026/01/Moon-Duchin.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260211T160000
DTEND;TZID=America/New_York:20260211T170000
DTSTAMP:20260704T140735
CREATED:20260113T195134Z
LAST-MODIFIED:20260324T190354Z
UID:10000026-1770825600-1770829200@mathstats.uncg.edu
SUMMARY:Helen Barton Lecture: "Real Numerical Algebraic Geometry and Applications"
DESCRIPTION:Professor Jonathan Hauenstein\, University of Notre Dame \n\n\n\nTitle: Real Numerical Algebraic Geometry and Applications \n\n\n\nAbstract: Nonlinear polynomial equations naturally arise throughout mathematics\, science\, and engineering with their solutions describing various phenomena including the motion of a mechanical linkage such as a robotic arm and steady states of a dynamical system arising from a biochemical reaction network. Polynomials are central to some of the deepest mathematics and have been studied for millennia. The advent of modern computers has ushered in a new wave of algorithms for computing solution sets to systems of polynomial equations\, both from an algebraic and geometric perspective. Since the physically-meaningful solutions in most applications are real\, this talk will highlight recent developments for numerical computing and representing real solutions to systems of polynomial equations\, collectively called real numerical algebraic geometry\, along with demonstrating them on several applications in science and engineering. 
URL:https://mathstats.uncg.edu/event/helen-barton-lecture-2/
LOCATION:Petty Science Building Room 150\, 317 College Ave\, Greensboro\, North Carolina\, 27412
CATEGORIES:Helen Barton Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://mathstats.uncg.edu/wp-content/uploads/2025/09/Hauenstein-scaled.jpg
ORGANIZER;CN="UNCG Mathematics & Statistics Department":MAILTO:mathstats@uncg.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260128T160000
DTEND;TZID=America/New_York:20260128T170000
DTSTAMP:20260704T140735
CREATED:20260113T192339Z
LAST-MODIFIED:20260324T190520Z
UID:10000023-1769616000-1769619600@mathstats.uncg.edu
SUMMARY:Helen Barton Lecture: "Optimal Transport and Topological Data Analysis for single-cell biology"
DESCRIPTION:Professor Zixuan Cang\, North Carolina State University \n\n\n\nTitle: “Optimal Transport and Topological Data Analysis for single-cell biology” \n\n\n\nAbstract: Single-cell and spatial transcriptomics data examines high-throughput gene expression profiles at fine resolutions providing an unprecedented opportunity to elucidate the underlying complex biological processes. Optimal transport and Topological Data Analysis has proven to be an effective tool for exploiting complex structures in high-dimensional data. In this talk\, we will discuss several optimal transport variants motivated by the biological applications\, where there are detailed application-specific constraints\, multiple distribution species\, and multiple embedding spaces of the same system. We will illustrate the applications of these tools for addressing multi-compatible molecular species in cell-cell communication analysis and devising coherent trajectories of the same biological system from multi-omics datasets. We will also discuss some applications of topological data analysis to single-cell data analysis.
URL:https://mathstats.uncg.edu/event/10051/
LOCATION:Petty Science Building Room 150\, 317 College Ave\, Greensboro\, North Carolina\, 27412
CATEGORIES:Helen Barton Lecture Series
ATTACH;FMTTYPE=image/png:https://mathstats.uncg.edu/wp-content/uploads/2026/01/Zixuan-Cang.png
ORGANIZER;CN="UNCG Mathematics & Statistics Department":MAILTO:mathstats@uncg.edu
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DTSTART;TZID=America/New_York:20250409T160000
DTEND;TZID=America/New_York:20250409T170000
DTSTAMP:20260704T140735
CREATED:20250321T182246Z
LAST-MODIFIED:20260324T191705Z
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SUMMARY:Helen Barton Lecture: "Integral Tales: Some Unexpected Connections"
DESCRIPTION:Victor H. Moll is a professor of mathematics at Tulane University. \n\n\n\nDuring the process of learning calculus one observes that there is a well-defined list of rules to compute derivatives: product\, quotient\, and chain rules are among the first taught in every class. On the other hand\, when one tries to compute integrals\, the student is left with a feeling that now there is simply a collection of tricks. There is no clear reason why one can integrate ex in a simple manner\, but the integral of ex^2 is more complicated. One learns these tricks from the instructor\, by talking to older classmates\, or by searching for them online. At the end\, there seems to be no systematic way of doing this. \n\n\n\nIt is remarkable that\, in the search of producing closed-forms of definite integrals\, one finds many interesting connections with apparently disjoint parts of mathematics. Examples will include (1) properties of a collection of positive integers appearing in the evaluation of a rational function\, (2) a planar dynamical system connected with a variation of the arithmetic geometric mean and (3) a list of definite integrals involving the gamma function. The lecture will be suitable for undergraduates and it will include stories about how the speaker got involved in such projects.
URL:https://mathstats.uncg.edu/event/integral-tales-some-unexpected-connections/
LOCATION:Petty Science Building Room 219\, 317 College Avenue\, Greensboro\, North Carolina\, 27412
CATEGORIES:Helen Barton Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://mathstats.uncg.edu/wp-content/uploads/2025/03/Victor-Moll-Helen-Barton-Lecture-040925-scaled.jpg
ORGANIZER;CN="UNCG Mathematics and Statistics Department":MAILTO:mathstats@uncg.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250212T160000
DTEND;TZID=America/New_York:20250212T170000
DTSTAMP:20260704T140735
CREATED:20250114T140422Z
LAST-MODIFIED:20250311T121816Z
UID:10000002-1739376000-1739379600@mathstats.uncg.edu
SUMMARY:Helen Barton Lecture Series: Aliasing in linear regression: powerful new insights into a fundamental tool
DESCRIPTION:Professor Tyler Jarvis\nProfessor Jarvis is co-founder and director of the Applied and Computational Math (ACME) program at Brigham Young University (BYU)\, which was recognized as the American Mathematical Society’s 2024 Exemplary Program in Mathematics.\nhttps://science.byu.edu/directory/tyler-jarvis
URL:https://mathstats.uncg.edu/event/helen-barton-lecture-series-aliasing-in-linear-regression-powerful-new-insights-into-a-fundamental-tool/
LOCATION:North Carolina
CATEGORIES:Helen Barton Lecture Series
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250122T160000
DTEND;TZID=America/New_York:20250122T170000
DTSTAMP:20260704T140735
CREATED:20250114T140306Z
LAST-MODIFIED:20250114T152119Z
UID:10000001-1737561600-1737565200@mathstats.uncg.edu
SUMMARY:Helen Barton Lecture Series: The Mathematics of Doodling
DESCRIPTION:Doodling is a creative and fundamentally human activity\, resulting in doodles iwth intricate and often hidden implicit structure. We will treat doodles as an example for how mathematics is done – by starting with some doodles\, we will ask ourselves some natural questions and see where they take us. They will lead us to some unexpected places\, and to some sophisticated mathematics. \n\n\n\nSpeaker: Professor Ravi VakilRobert Grimmett Professor of Mathematics at Stanford University President of the American Mathematical Society (February 1\, 2025)https://math.stanford.edu/~vakil/
URL:https://mathstats.uncg.edu/event/helen-barton-lecture-series-the-mathematics-of-doodling/
LOCATION:North Carolina
CATEGORIES:Helen Barton Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://mathstats.uncg.edu/wp-content/uploads/2025/01/2025-01-22-helen-barton-e1736867963338.jpg
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