Deep learning is one of the most universal techniques in the modern big data era, achieving remarkable success across imaging, healthcare, natural language processing, and more. As applications begin to rely more heavily on deep learning, it is crucial that we understand how these algorithms make predictions and how we can make them better (e.g.,…
Symmetric functions are very interesting combinatorial objects. After decomposing certain symmetric functions in terms of different bases, we can often combinatorially interpret the resulting coefficients. This is made particularly easy if those coefficients are positive (or controllably negative). The chromatic symmetric function is one such symmetric function, and its decomposition has been of interest for…
Congenital heart disease affects 1 in 100 infants and is the leading cause of infant mortality in the US. Among the most severe forms of congenital heart disease is single ventricle physiology, in which the heart develops with only one functional pumping chamber. These patients typically undergo three open chest surgeries, culminating in the Fontan…
Many areas of interest within the Earth are anisotropic, meaning that the speed of sound is different in different directions. It turns out that pressure waves are far better behaved than shear waves, but fortunately the different polarizations are coupled together through algebraic geometry. I will explain the surprising power of algebraic geometry in the…
Please join us in person or virtually as we honor our 2023 College of Sciences Awards for Excellence Nominees and winners.
Variational quantum algorithms use non-convex optimization methods to find the optimal parameters for a parametrized quantum circuit in order to solve a computational problem. The choice of the circuit ansatz, which consists of parameterized gates, is crucial to the success of these algorithms. Here, we propose a gate which fully parameterizes the special unitary group…
This article is about yield farming, which refers to a decentralized finance strategy of providing liquidity and seeking associated rewards in the form of transpired-transaction fees. We explain and demystify yield farming and quantify transaction costs, returns, and risks using on-chain data from major decentralized exchanges. We provide a mathematical framework that resembles a representative…
Grade Level(s): High School GIRLS Date(s): Saturday, April 29, 2023 (11:00 am - 2:00 pm) Location: NC State University - SAS Hall Cost: FREE (Capped at 40 students) Description: Discover the beauty of mathematics and its wide applicability and power in everyday life! Why Should I Study Math? What Can I Do with a Math Degree? What Do Mathematicians…
Arvind Saibaba, contact for zoom access.
You are invited to participate in the Mathematics Graduation Ceremony to celebrate the students who completed their mathematics degree in Spring and Summer 2023. Graduation Ceremony will be held on May 5, 2023 at 6pm in McKimmon room 2. Reception to follow the ceremony.
The natural question is: do structures satisfying given open relations (called the genuine solutions of the differential relation) exist on a given manifold? Replacing all derivatives appearing in a differential relation by the additional independent variables one obtains an open subset of the corresponding jet bundle. A formal solution of the differential relation is a…
This event is a: A virtual journey through the wonders of science: from designing houses to understanding the human body. A glimpse into the role of mathematics in accelerating discovery in ophthalmology and biomedicine. High School students may attend Application deadline: June 10, 2023 Apply now at this link: https://thesciencehouse.wufoo.com/forms/the-eye-a-window-to-our-body/ This event is FREE
This dissertation presents three treatments of mathematical modeling to two relevant areas of biological application.We apply foam physics to the morphometry of cell packings of notochords, elastic membrane physics to notochord biomechanics, and the theory of morphoelasticity to morphogenesis in the developing stomach. The notochord is the defining feature of chordates, and during development it lengthens the embryo, provides…
In this talk, we will introduce the special Lagrangian and Lagrangian mean curvature type equations. We will derive a priori interior estimates for the Lagrangian mean curvature equation under certain natural restrictions on the Lagrangian angle. As an application, we will use these estimates to solve the Dirichlet problem for the Lagrangian mean curvature equation with continuous boundary data…
We plan on having the beginning-of-the-semester departmental meeting on Monday, August 28, at 4:15 p.m. in SAS 4201. Dean Lewis Owen will join the meeting in the beginning with welcoming remarks and a short Q&A session. Deidre will follow up with a calendar invite and a detailed agenda shortly. Ice cream will be served before…
Zoom Meeting: https://ncsu.zoom.us/j/93046132033?pwd=dkZiTjlKazgzK2Q3aXJra1g2R1Q0dz09 Meeting ID: 930 4613 2033 Passcode: 075251
Reading’s shard intersection order is a lattice structure on a finite Coxeter group which is weaker than the weak order. This structure also appears in the representation theory of finite-dimensional algebras as the inclusion order on certain subcategories of modules. Algebraically, the cover relations of this lattice are traversed by applying a “reduction operation” associated…
The speakers will talk about how to use Gradescope to streamline the grading process for assignments and exams. No experience with Gradescope is assumed, but the speakers will share tips that will benefit experienced users as well as newbies. Participants will be able to join a demo course to experience Gradescope from both the student…
Zoom Meeting: https://ncsu.zoom.us/j/93046132033?pwd=dkZiTjlKazgzK2Q3aXJra1g2R1Q0dz09 Meeting ID: 930 4613 2033 Passcode: 075251
We describe an algorithm to compute Whitney stratifications of real algebraic varieties. The basic idea is to first stratify the complexified version of the given real variety using conormal techniques, and then to show that the resulting stratifications admit a description using only real polynomials. This method also extends to stratification problems involving certain basic…