Events
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Differential Equations and Nonlinear Analysis Seminar: Ziad Musslimani, Florida State University, Space-time nonlocal integrable systems
ZoomIn this talk I will review past and recent results pertaining to the emerging topic of integrable space-time nonlocal integrable nonlinear evolution equations. In particular, we will discuss blow-up in finite time…
Computational and Applied Mathematics: Jaeyong Lee, Chung-Ang University, Real-Time Solutions to PDEs with Neural Operators in SciML
SAS 4201Recent advancements in deep learning have led to a surge in research focused on solving scientific problems under the "AI for Science." Among these efforts, Scientific Machine Learning (SciML) aims…
Stochastics/Discrete Analysis Seminar: Kevin Ren, Princeton University, Projections of fractal sets in R^2
SAS 4201Given a set K in R^2 with Hausdorff dimension t \in , what can we say about a typical orthogonal projection of K? Marstrand (1954) proved that for Lebesgue almost…
Geometry and Topology Seminar: Saman Habibi Esfahani, Duke, Gauge theory beyond low dimensions: progress on compactness conjectures
SAS 4201(Based on joint work with Yang Li). I will present an overview of Donaldson's program to extend the methods of gauge theory and Floer homology from 3- and 4-manifolds to…
Algebra and Combinatorics Seminar: Rafael S. González D’León, Loyola University Chicago, On Whitney numbers of the first and second kind, or is it the other way around?
SAS 4201The Whitney numbers of the first and second kind are a pair of poset invariants that are relevant in various areas of mathematics. One of the most interesting appearances of…
Differential Equations and Nonlinear Analysis Seminar: Emilio Vilches Gutiérrez, Universidad de O’Higgins, Chile, Recent Developments in Moreau’s Sweeping Processes
ZoomThe sweeping process is a first-order differential inclusion involving the normal cone to a family of moving sets. It was introduced by J.J. Moreau in the early seventies to address…
Computational and Applied Mathematics: Shriram Srinivasan, Los Alamos National Laboratory, Hierarchical Network Partitioning for Efficient Solution of Steady-State Nonlinear Network Flow Equations
SAS 4201Natural gas production and distribution in the US is interconnected continent-wide, and hence the simulation of fluid flow in pipeline networks is a problem of scientific interest. While the problem…
Colloquium: Stefan Steinerberger, University of Washington, Growth Models in the Plane
SAS 4201We'll study the growth of (two-dimensional) things. Think about lichen growing on a tree (tends to be sort of round). Another fun example is electricity propagating through wood (tends to…
Stochastics/Discrete Analysis Seminar: Vadim Gorin, UC Berkeley, TBA
SAS 4201Speaker's website: https://www.stat.berkeley.edu/~vadicgor/
Geometry and Topology Seminar: Thomas Weighill, The University of North Carolina at Greensboro, Coarse Embeddings into Hilbert Space for Spaces of Point Clouds
SAS 4201Given a space X, one may want to know if it can be embedded into a vector space in a controlled way. Interestingly, this question is of interest in both…
Algebra and Combinatorics Seminar: Erik Bates, NC State, A new combinatorial interpretation of the (sum of (generalized)) Fibonacci numbers
SAS 4201The sum of Fibonacci numbers, i.e. the sequence 2, 4, 7, 12, 20, 33, 54, 88, ... has many combinatorial interpretations. For instance, the n-th term in this sequence is the…
First Year Research Seminar: Yairon Cid-Ruiz and Mohammad Farazmand, NC State, commutative algebra, algebraic geometry and data science, machine learning, modeling
SAS 2225During each 50-minute First Year Research Seminar, two faculty give our new graduate students a short (~20-25 minute), accessible talk about their research or research area. First Year Research Seminar…
Math Department Weekly Tea
SAS 4104Differential Equations and Nonlinear Analysis Seminar: Stefania Patrizi, The University of Texas at Austin, The Discrete Dislocation Dynamics of Multiple Dislocation Loops
SAS 4201We consider a nonlocal reaction-diffusion equation that physically arises from the classical Peierls–Nabarro model for dislocations in crystalline structures. Our initial configuration corresponds to multiple slip loop dislocations in $\mathbb…
Teaching and Learning Seminar:Megan Ryals, University of Virginia,Integrating Research and Practice: The Development of Technology-Based Learning Activities in Multivariable Calculus
SAS 4201Students often perceive Multivariable Calculus as a collection of disconnected ideas and approach problem solving in the course formulaically. Students need help from instructors in developing spatial reasoning and making…
Computational and Applied Mathematics: Anuj Abhishek, Case Western Reserve University, Operator Learning for Inverse Problems
SAS 4201Neural operators such as Deep Operator Networks (DeepONet) and Convolutional Neural Operators (CNO) have been shown to be fairly useful in approximating an operator between two function spaces. In this…
Stochastics/Discrete Analysis Seminar: Lechao Xiao, Google DeepMind, Harmonic Analysis and Theory of Deep Learning
SAS 4201The past decade has witnessed a remarkable surge in breakthroughs in artificial intelligence (AI), with the potential to profoundly impact various aspects of our lives. However, the fundamental mathematical principles…
Algebra and Combinatorics Seminar: Luis Ferroni, Institute for Advanced Study, TBA
SAS 4201Speaker's website: https://sites.google.com/view/ferroniluis