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Pure Math Graduate Student Seminar: Ian Klein, NC State, The Chromatic Symmetric Function and the Stanley-Stembridge Conjecture

SAS 2102

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…

Colloquium: Alison Marsden, Stanford University, Multi-Physics Modeling of Flow and Cardiac Function in Pediatric Cardiology

SAS 2203

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…

Geometry and Topology Seminar: Joonas Ilmavirta, University of Jyväskylä, Finland, Geophysics and algebraic geometry

SAS 4201

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…

Algebra and Combinatorics Seminar: Roeland Wiersema, University of Waterloo, Here comes the SU(N): multivariate quantum gates and gradients

SAS 2235

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…

Financial Mathematics Seminar: Lorenzo Schoenleber, Collegio Carlo Alberto University of Turin, Maneuvering and Investing in Yield Farms

SAS 4201

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…

GAMMA (Girls in Applied Math, Modeling, and Analysis)

SAS Hall Lobby

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…

Spring 2023 NC State Mathematics Graduation Ceremony

McKimmon Center, Raleigh NC

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.

Geometry and Topology Seminar:  Igor Zelenko, Texas A&M University, Gromov’s h-principle for corank two distribution of odd rank with maximal first Kronecker index

SAS 3282

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…

Special Event: The Eye: A Window to our Body

Zoom

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

Doctoral Exam: Evan Curcio, NC State, Mathematical Modeling of Stomach Morphogenesis and the Biomechanics of Pattern in Notochords

SAS 3282

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…

Geometry and Topology Seminar: Arunima Bhattacharya, UNC Chapel Hill, Lagrangian Mean Curvature Equations

SAS 1216

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…

Math Department Fall 2023 Meeting

SAS 4201

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…

Algebra and Combinatorics Seminar: Eric Hanson, NC State, Finite-dimensional algebras and the shard intersection order

SAS 4201

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…

Algebra and Combinatorics Seminar: Martin Helmer, NC State, Effective Whitney Stratification of Real Algebraic Varieties

SAS 4201

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…

Geometry and Topology Seminar: Mathew Kushelman, NC State, On Liouville’s Theorem for Conformal Maps

SAS 1216

A theorem of Liouville asserts that the simplest conformal transformations on Euclidean space---translations, dilations, reflections, and inversions---generate all conformal transformations when the dimension is at least 3.  I will describe a new proof of this theorem which is shorter and more elementary than the argument, due to Nevanlinna, found in most modern textbooks.