## Zhilin Li and Teemu Saksala Virtual/ Zoom

Organizer: Seth Sullivant smsulli2@ncsu.edu

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## Diversity and Inclusion Brown Bag Lunch via Zoom

Organizer: Seth Sullivant smsulli2@ncsu.edu

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## Asgar Jamneshan, UCLA, On some aspects of uncountable ergodic theory

The talk aims at providing an introduction into some basic problems occurring in the ergodic theory of uncountable group actions and a setup and a few tools on how to resolve these issues. This part of the talk shall be…

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## Yahe Yu, Machine learning approach to biological applications: STI strategies for HIV and evolutionary genetics

Chair: Hien Tran (tran@ncsu.edu, contact for Zoom access)

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## John Lagergren, Data-driven discovery and augmentation of mathematical models

Chair: Kevin Flores (kbflores@ncsu.edu, contact for Zoom access).

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## Eric Geiger, NC State, Non-congruent non-degenerate curves with identical signatures

This talk will focus on using the Euclidean Signature to determine whether two smooth planar curves are congruent under the Special Euclidean group. Work done by Emilio Musso and Lorenzo Nicolodi emphasizes that signatures must be used with caution by constructing 1-parameter families of…

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## Braxton Osting, University of Utah, Consistency of archetypal analysis

Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize multivariate data. For fixed k, the method finds a convex polytope with k vertices, called archetype points, such that the polytope is contained in the convex…

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## Panel of Faculty and Postdocs Interview Strategies Virtual/Zoom

Organizer: Seth Sullivant smsulli2@ncsu.edu

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## Kasso Okoudjou, Tufts University, On the HRT Conjecture

Given a non-zero square-integrable function $g$ and $\Lambda=\{(a_k, b_k)\}_{k=1}^N \subset \mathbb{R}^2$ let $\mathcal{G}(g, \Lambda)=\{e^{2\pi i b_k \cdot}g(\cdot - a_k)\}_{k=1}^N.$ The Heil-Ramanathan-Topiwala (HRT) Conjecture is the question of whether $\mathcal{G}(g, \Lambda)$ is linearly independent. For the last two decades, very little…

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## Noemi Petra, UC Merced, Inferring the basal sliding coefficient field for the Stokes ice sheet model under rheological uncertainty

We consider the problem of inferring the basal sliding coefficient field for an uncertain Stokes ice sheet forward model from surface velocity measurements. The uncertainty in the forward model stems from unknown (or uncertain) auxiliary parameters (e.g., rheology parameters). This inverse problem is posed within…

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## Keijo Mönkkönen, University of Jyväskylä, Finland, Geometric inverse problems and ray transforms

I give an introductory talk about geometric inverse problems and ray transforms (no proofs are involved). I mainly focus on the Euclidean X-ray transform of scalar fields and vector fields, but also introduce the basic properties of the X-ray transform…

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## Nick Barron, University of Loyola, Applications of Quasiconvex functions to HJ Equations and Optimal Control

Quasiconvex functions, a major generalization of convex functions, naturally arise in calculus of variations, optimal control and differential games in L-infinity. This connection with HJ equations, representation formulas, obstacle problems, and reach-avoid problems will be discussed. Zoom meeting ID: 802…

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## Diversity and Inclusion Brown Bag Lunch via Zoom

Organizer: Seth Sullivant smsulli2@ncsu.edu

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## Christoph Thäle, Ruhr-Universität Bochum, Germany, Random Cones

Let $U_1,\ldots,U_n$ be independent random vectors which are uniformly distributed on the unit sphere. The random hyperplanes $U_1^\perp,\ldots,U_n^\perp$ dissect the space into a collection of random cones. A uniform random cone $S_n$ from this collection is called the Schläfli random…

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## Mihaela Paun, University of Glasgow, Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation

In this talk I will present a Bayesian approach to quantify the uncertainty of model parameters and hemodynamic predictions in a one-dimensional fluid-dynamics model of the pulmonary system by integrating mouse imaging data and hemodynamic data. The long-term aim is…

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## Geng Chen, University of Kansas, Poiseuille flow of nematic liquid crystals via Ericksen-Leslie model

In this talk, we will discuss a recent global existence result on the Poiseuille flow of nematic liquid crystals via full Ericksen-Leslie model. The existing results on the Ericksen-Leslie model for the liquid crystals mainly focused on the parabolic and…

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## Mariusz Mirek, Rutgers University, Dimension free estimates for the discrete Hardy–Littlewood maximal functions

I will discuss recent progress on dimension-free estimates for the Hardy--Littlewood maximal functions in the continuous and discrete settings. Website: https://sites.google.com/view/paw-seminar Host: Paata Ivanisvili  pivanis@ncsu.edu

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## Paata Ivanisvili, North Carolina State University, Enflo’s problem

A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric structure of the Banach space, while the definition…

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## Diversity and Inclusion Brown Bag Lunch via Zoom

Organizer: Seth Sullivant smsulli2@ncsu.edu

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## Bobby Wilson, University of Washington, Marstrand’s Theorem in general Banach spaces

We will discuss Marstrand's classical theorem concerning the interplay between density of a measure and the Hausdorff dimension of the measure's support in the context of finite-dimensional Banach spaces. This is joint work with David Bate and Tatiana Toro. Website:…

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