We 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…
Students 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…
Neural 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…
The 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…
Speaker's website: https://sites.google.com/view/ferroniluis
Speaker's Website: https://math.sciences.ncsu.edu/people/ejhanso3/
Speaker's website: https://home.olemiss.edu/~leth/
Speaker's website: https://jack-jeffries.github.io/
Speaker's website: https://pi.math.cornell.edu/~karola/
Speaker's website: https://davidsalasvidela.cl/ Zoom meeting: link
During 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…