Events
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Geometry and Topology Seminar: Joonas Ilmavirta, University of Jyväskylä, Finland, Inverse problems with neutrinos
Geometry and Topology Seminar: Joonas Ilmavirta, University of Jyväskylä, Finland, Inverse problems with neutrinos
Neutrinos are very weakly interacting particles that have unique properties that allow indirect measurements that cannot be realized with any other particle or field. I will give an introduction to neutrino physics and describe two inverse problems with neutrinos. This is based on joint work with Gunther Uhlmann. https://ncsu.zoom.us/j/94955574178?pwd=cFpRUlZScXRmdGFscE5FZEhIb1NWdz09 Meeting ID: 949 5557 4178 Passcode: 301451
Differential Equations Seminar: Paul Manns, TU Dortmund, Germany, On total variation regularization for PDE-constrained optimization with integer controls
Differential Equations Seminar: Paul Manns, TU Dortmund, Germany, On total variation regularization for PDE-constrained optimization with integer controls
We study the effect of total variation regularization on PDE-constrained optimization problems, where the control input functions may only attain finitely many integer values. The regularization helps to avoid undesirable effects such as chattering behavior. In particular, the weak-* compactness of the feasible set in the space of functions of bounded variation allows to derive…
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SIAM Bootcamp Series #2 – MATLAB
SIAM Bootcamp Series #2 – MATLAB
We are excited to announce that SIAM is hosting another bootcamp: a two-part series that introduces you to MATLAB. Both graduate and undergrads are welcome, so please spread the word! You’re encouraged to have Matlab installed, which is free for NCSU students. For a detailed instruction on how to download and install Matlab to your computer,…
Numerical Analysis Seminar: Brendan Keith, Brown University, Adaptive sampling for constrained optimization under uncertainty
Numerical Analysis Seminar: Brendan Keith, Brown University, Adaptive sampling for constrained optimization under uncertainty
Stochastic optimization problems with deterministic constraints commonly appear in machine learning, finance, and engineering applications. This talk presents a new adaptive solution strategy for this important class of problems. The aim is to decrease the computational cost while maintaining an optimal convergence rate. The guiding principle is to adjust the batch size (or sample size)…
Biomath Seminar: Justen Geddes, NC State, Modeling and Data Analysis of Postural Orthostatic Tachycardia Syndrome
Biomath Seminar: Justen Geddes, NC State, Modeling and Data Analysis of Postural Orthostatic Tachycardia Syndrome
Postural Orthostatic Tachycardia Syndrome (POTS) is characterized by an increase of heart rate of 30 beats per minute (40 bpm in patients aged 12-19 years) upon a postural change, combined with the presence of orthostatic symptoms. In addition to these criteria, recent studies have shown that POTS patients exhibit large low frequency ~0.1 Hz heart…
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Geometry and Topology Seminar: Yaoye Hong, NC State, ECE Department, Programmable morphologies of kirigami sheets and applications.
Geometry and Topology Seminar: Yaoye Hong, NC State, ECE Department, Programmable morphologies of kirigami sheets and applications.
Shape-shifting materials from 2D thin sheets to 3D shapes are attractive for broad applications in programmable machines and robots, functional biomedical devices, and four-dimensional printing. Kirigami, the art of paper cutting, has recently emerged as a promising approach for shape morphing structures and materials due to its new properties such as auxeticity, stretchability, conformability, multistability, and optical chirality. In this talk,…
Differential Equations/Nonlinear Analysis Seminar: Michael Malisoff, LSU, Event-Triggered Control Using a Positive Systems Approach
Differential Equations/Nonlinear Analysis Seminar: Michael Malisoff, LSU, Event-Triggered Control Using a Positive Systems Approach
Control systems are a class of dynamical systems that contain forcing terms. When control systems are used in engineering applications, the forcing terms can represent forces that can be applied to the systems. Then the feedback control problem consists of finding formulas for the forcing terms, which are functions that can depend on the state…
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Teaching and Learning Seminar: Molly Fenn, Bevin Maultsby, Stepan Paul, NC State, Exam Writing Panel
Teaching and Learning Seminar: Molly Fenn, Bevin Maultsby, Stepan Paul, NC State, Exam Writing Panel
A panel of experienced instructors will share their thoughts on writing effective exams for undergraduate courses. The panel is timed to precede the first round of midterms for lower-division courses. The panelists will take questions from the moderators and audience. Moderators: Kylan Schatz, Ashley Tharp (NC State) Zoom Meeting: Link
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Graduate Training Seminar: Seth Sullivant, NC State, Applying for Graduate Research Fellowships
Graduate Training Seminar: Seth Sullivant, NC State, Applying for Graduate Research Fellowships
I will provide an overview of how to apply for different graduate research fellowships. These can be very valuable as they provide lots of time to get research done, which can help get better academic or non-academic jobs. I will focus on the NSF Graduate Research Fellowship. Note that the NSF GRFP is limited to…
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Applied Math Graduate Student Seminar: Introductory and Organizational Meeting
Applied Math Graduate Student Seminar: Introductory and Organizational Meeting
If you are interested in learning more about applied math research from your fellow students, or you want a friendly and constructive environment to practice presenting your own applied math research, AMGSS is for you! This is an informational and sign-up meeting, so come to learn more about AMGSS and/or to sign up to present…
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SIAM Bootcamp Series #2 – MATLAB
SIAM Bootcamp Series #2 – MATLAB
We are excited to announce that SIAM is hosting another bootcamp: a two-part series that introduces you to MATLAB. Both graduate and undergrads are welcome, so please spread the word! You’re encouraged to have Matlab installed, which is free for NCSU students. For a detailed instruction on how to download and install Matlab to your computer,…
Numerical Analysis Seminar: Jamie Haddock, Harvey Mudd College, Connections between Iterative Methods for Linear Systems and Consensus Dynamics on Networks
Numerical Analysis Seminar: Jamie Haddock, Harvey Mudd College, Connections between Iterative Methods for Linear Systems and Consensus Dynamics on Networks
There is a well-established linear algebraic lens for studying consensus dynamics on networks, which has yielded significant theoretical results in areas like distributed computing, modeling of opinion dynamics, and ranking methods. Recently, strong connections have been made between problems of consensus dynamics on networks and classical iterative methods in numerical linear algebra. This talk will…
Biomath Seminar: Zixuan Cang, NC State, Spatiotemporal analysis of single-cell and spatial genomics data
Biomath Seminar: Zixuan Cang, NC State, Spatiotemporal analysis of single-cell and spatial genomics data
The emerging single-cell and spatial genomics techniques allow us to elucidate the governing rules of multicellular systems with unprecedented resolution and depth. These datasets are often high-dimensional, complex, and heterogeneous. Mathematical tools are needed to extract biological insights from such data. In this talk, we will discuss several mathematical and machine learning methods for exploring…
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Geometry and Topology Seminar: Ian Zemke, Princeton, Bordered aspects of the Heegaard Floer surgery formulas
Geometry and Topology Seminar: Ian Zemke, Princeton, Bordered aspects of the Heegaard Floer surgery formulas
In this talk, we will discuss bordered aspects of the Heegaard Floer surgery formulas of Ozsvath--Szabo and Ozsvath--Manolescu. In particular, we will explain how their theories naturally define bordered invariants for manifolds with toroidal boundary components. Time permitting, we will discuss applications of the theory. One application is a proof of the equivalence of lattice…
Differential Equations/Nonlinear Analysis Seminar: Maria Teresa Chiri, Queen’s University, Controlling the spread of invasive biological species
Differential Equations/Nonlinear Analysis Seminar: Maria Teresa Chiri, Queen’s University, Controlling the spread of invasive biological species
We consider a controlled reaction-diffusion equation, modeling the spreading of an invasive population. Our goal is to derive a simpler model, describing the controlled evolution of a contaminated set. We first analyze the optimal control of 1-dimensional traveling wave profiles. Using Stokes’ formula, explicit solutions are obtained, which in some cases require measure-valued optimal controls.…
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Teaching and Learning Seminar: Peter McGrath, NC State, The role of the narrative in calculus
Teaching and Learning Seminar: Peter McGrath, NC State, The role of the narrative in calculus
I will describe---using anecdotes, excerpts from textbooks, and thought experiments---various approaches to creating a narrative voice when teaching a calculus class. Zoom Meeting: Link
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Applied Math Graduate Student Seminar: William Anderson, NC State, Efficient computation of reduced-order nonlinear solutions for PDEs
Applied Math Graduate Student Seminar: William Anderson, NC State, Efficient computation of reduced-order nonlinear solutions for PDEs
In this talk we develop a method for efficient computation of reduced-order nonlinear solutions (RONS). RONS is a framework to create reduced-order models for time-dependent partial differential equations (PDEs) where the reduced-order solution has nonlinear dependence on time-varying parameters. With RONS we obtain an explicit set of ordinary differential equations (ODEs) to evolve the parameters.…
Pure Math Grad Student Seminar: Emily McGovern, NC State, Module categories for \text{Tilt}(SL_{2k+1}) from \tilde{A}_{n-1}-buildings
Pure Math Grad Student Seminar: Emily McGovern, NC State, Module categories for \text{Tilt}(SL_{2k+1}) from \tilde{A}_{n-1}-buildings
We show that the category of vector bundles over the vertices of a locally finite \tilde{A}_{n-1} building \Delta, Vec(\Delta), has the structure of a Tilt(SL_{2k+1}) module category. This module category is the q-analogue of the Tilt(SL_{2k+1}) action on vector bundles over the sl_n weight lattice. Our construction of the Tilt(SL_{2k+1}) action on Vec(\Delta) extends to…
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Numerical Analysis Seminar: Themis Sapsis, MIT, Likelihood-weighted active learning with application to Bayesian optimization, uncertainty quantification, and decision making in high dimensions
Numerical Analysis Seminar: Themis Sapsis, MIT, Likelihood-weighted active learning with application to Bayesian optimization, uncertainty quantification, and decision making in high dimensions
Analysis of physical and engineering systems is characterized by unique computational challenges associated with high dimensionality of parameter spaces, large cost of simulations or experiments, as well as existence of uncertainty. For a wide range of these problems the goal is to either quantify uncertainty and compute risk for critical events, optimize parameters or control…
Biomath Seminar: Dr. Archana Timsina and Evan Curcio, NC State, Identifiability and optimal control analysis of HIV infection and opioid addiction model / How do tension ratios determine morphometry in physical models of notochord cell packing?
Biomath Seminar: Dr. Archana Timsina and Evan Curcio, NC State, Identifiability and optimal control analysis of HIV infection and opioid addiction model / How do tension ratios determine morphometry in physical models of notochord cell packing?
Dr. Timsina's Talk: Identifiability and optimal control analysis of HIV infection and opioid addiction model. Abstract: In a compartmental model of HIV infection and opioid addiction, dynamics such as equilibria, basic reproduction number, and invasion numbers are presented. Identifiability and estimation of the parameters of the model are highlighted. Moreover, the effect of four distinct controls such…
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Geometry and Topology Seminar: Jiahua Zou, Brown University, Free boundary minimal surfaces in the Euclidean three-ball close to boundary
Geometry and Topology Seminar: Jiahua Zou, Brown University, Free boundary minimal surfaces in the Euclidean three-ball close to boundary
I will talk about the new construction of genus-zero free boundary minimal surfaces embedded in the unit ball in the Euclidean three-space which are compact and lie arbitrarily close to the boundary unit sphere with an arbitrarily large number of connected boundary components. The construction is by PDE gluing methods and the surfaces are desingularizations…
Doctoral Exam: Fouche Smith, NC State, A High Order Compact Scheme for Interior/Exterior 3D Wave Equation by the Method of Difference Potentials
Doctoral Exam: Fouche Smith, NC State, A High Order Compact Scheme for Interior/Exterior 3D Wave Equation by the Method of Difference Potentials
Advisor Semyon Tsynkov, contact for zoom access
Algebra and Combinatorics Seminar: Jianping Pan, NC State, A bijection between K-Kohnert diagrams and reverse set-valued tableaux
Algebra and Combinatorics Seminar: Jianping Pan, NC State, A bijection between K-Kohnert diagrams and reverse set-valued tableaux
Lascoux polynomials are K-theoretic analogues of the key polynomials. They both have combinatorial formulas involving tableaux: reverse set-valued tableaux (RSVT) rule for Lascoux polynomials and reverse semistandard Young tableaux (RSSYT) rule for key polynomials. Besides, key polynomials have a simple algorithmic model in terms of Kohnert diagrams, which are in bijection with RSSYT. Ross and…
Differential Equations/Nonlinear Analysis Seminar: Ryan Murray, NC State, Adversarially robust classification, non-local perimeters, and geometric flows
Differential Equations/Nonlinear Analysis Seminar: Ryan Murray, NC State, Adversarially robust classification, non-local perimeters, and geometric flows
Classification is a fundamental task in data science and machine learning, and in the past ten years there have been significant improvements on classification tasks (e.g. via deep learning). However, recently there have been a number of works demonstrating that these improved algorithms can be “fooled” using specially constructed adversarial examples. In turn, there has been increased…
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Applied Math Graduate Student Seminar: Abhijit Chowdhary, NC State, Computing Eigenvalue Sensitivities for Sensitivity Analysis of the Information Gain in Bayesian Linear Inverse Problems
Applied Math Graduate Student Seminar: Abhijit Chowdhary, NC State, Computing Eigenvalue Sensitivities for Sensitivity Analysis of the Information Gain in Bayesian Linear Inverse Problems
We consider sensitivity analysis of Bayesian inverse problems with respect to modeling uncertainties. To this end, we consider sensitivity analysis of the information gain, as measured by the Kullback-Leibler divergence from the posterior to the prior. This choice provides a principled approach that leverages key structures within the Bayesian inverse problem. Also, the information gain…
Pure Math Graduate Student Seminar: Andrew Shedlock, NC State, Gromov-Hausdorff Distance: A Metric on the Space of Metric Spaces
Pure Math Graduate Student Seminar: Andrew Shedlock, NC State, Gromov-Hausdorff Distance: A Metric on the Space of Metric Spaces
For any metric space, the metric gives deep insight into the space such as geometry and topology of the space. Rather than directly studying a specific space, one may wish to study a sequence of spaces with nice properties and then show that desired properties hold in the limit. To study such a sequence of…
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Numerical Analysis Seminar: Wuchen Li, University of South Carolina, Mean-Field Games for Scalable Computation and Diverse Applications
Numerical Analysis Seminar: Wuchen Li, University of South Carolina, Mean-Field Games for Scalable Computation and Diverse Applications
Mean field games (MFGs) study strategic decision-making in large populations where individual players interact via specific mean-field quantities. They have recently gained enormous popularity as powerful research tools with vast applications. For example, the Nash equilibrium of MFGs forms a pair of PDEs, which connects and extends variational optimal transport problems. This talk will present…
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Algebra and Combinatorics Seminar: Nicholas Russoniello, Willam & Mary,
Algebra and Combinatorics Seminar: Nicholas Russoniello, Willam & Mary,
Jointly in person and virtually on Zoom. SAS 2225 for in-person participation. The Zoom link is sent out to the Algebra and Combinatorics mailing list, please contact Corey Jones at cmjones6@ncsu.edu to be added. Speaker’s webpage: https://www.wm.edu/as/mathematics/faculty-directory/russoniello_n.php
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Teaching and Learning Seminar: Laura Colmenarejo, NC State, Learning and teaching through gestures
Teaching and Learning Seminar: Laura Colmenarejo, NC State, Learning and teaching through gestures
In this talk, I want to present some of the ideas behind the theory of embodied cognition, which is a theory that tries to understand how our teaching and learning experiences are affected by our gestures. I will share how research is done in Math Education and my experience collaborating on a project lead by…
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