Events
Guang Lin, Uncertainty Quantification and Scientific Machine Learning for Complex Engineering and Physical Systems
SAS 1102Experience suggests that uncertainties often play an important role in quantifying the performance of complex systems. Therefore, uncertainty needs to be treated as a core element in the modeling, simulation, and optimization of complex systems. In this talk, I will first present a review of the novel UQ techniques I developed to conduct stochastic simulations…
Andrew Papanicolaou, NYU, Principal component analysis for implied volatility surfaces
Principal component analysis (PCA) is a useful tool when trying to uncover factor models from historical asset returns. For the implied volatilities of U.S. equities there is a PCA-based model with a principal eigenportfolio whose return time series lies close to that of an overarching market factor. Specifically, this market factor is the index resulting…
Valentine’s Day Cookie Contest by the MGSA
MGSA is holding its annual cookie contest! If you would like to be entered into the contest, we ask that you bring at least 2 dozen of your best cookies to the 4th floor lounge by 12:00pm on Friday. All math faculty, staff, and graduate students are invited to stop by to try some cookies…
Dmitriy Morozov, Persistent Homology: Applications and Computation
Room 3211, Engineering Building II, Centennial Campus Raleigh, NCPersistent homology is a key method in topological data analysis, a young but rapidly growing field at the intersection of computational geometry and algebraic topology. Persistence is used to describe the shape of data in a way that generalizes clustering: besides considering what connected components (clusters) are present in the data, it also describes their…
Paata Ivanisvili, UC Irvine, Bellman function in analysis
Many estimates in analysis have certain “common structures” which makes it possible to obtain them with what is now called Bellman function method. Originally the method appeared in control theory (stochastic or deterministic), however its systematic use in harmonic analysis or probability started only recently in works of Burkholder where he obtained the sharp constants…
Sarah Olson, Worcester Polytechnic Institute, Modeling the dynamics of centrosome movement
Cox 306The mitotic spindle is a complex, dynamic machine important for cell division. The spindle is composed of a network of microtubules and motor proteins that generate forces to form a bipolar spindle, with each pole organized around a single centrosome. Disruption in force generating activities through protein depletions or alterations to centrosome number, alter spindle…
Linh Truong, Institute for Advanced Study, Homology spheres, knots, and cobordisms
Homology 3-spheres, i.e. 3-dimensional manifolds with the same homology groups as the standard 3- sphere, play a central role in topology. Their study was initiated by Poincare in 1904, who constructed the first nontrivial example of a homology 3-sphere, and conjectured that the standard sphere is the only simply connected example. A century later, Poincare's…
Association for Women in Mathematics: 2020 Math Research Competition
The AWM Chapter is organizing a Math Research Competition on Saturday, February 29, here at NCSU (the poster is attached). The program includes 2 keynote lectures, two parallel sessions of lightning talks (one in math, and one in applied math), and a poster session. Awards will be given to top presentations and posters. Lunch is provided for all participants. Therefore,…
Katherine Ahrens, Combinatorial Applications of the k-Fibonacci Numbers: A Cryptographically Motivated Analysis
Chairs: Ernie Stitzinger, Scott Batson