The set of 3-manifolds with the same homology as the 3-dimensional sphere, modulo an equivalence relation called homology cobordance, forms a group. The additive structure of this group is given by taking connected sum. This group is called the homology cobordism group and plays a special role in low dimensional topology and knot theory. In this talk, I…
The outgoing student chapter president Joey Hart will give a short presentation overviewing SIAM and the opportunities its provides for graduate student members. A discussion time will follow. Pizza will be served.
From crawling cells to orca whales, swimming in nature occurs at different scales. The study of swimming across length scales can shed light onto the biological functions of natural swimmers or inspire the design of artificial swimmers with applications ranging from targeted drug delivery to deep-water explorations. In this talk, I will present experiments and simulations…
Alie Falastein Title: Connectivity Estimation in Neuronal Networks: The Hidden Node Problem Abstract: The human brain is a complex system consisting of billions of neurons. The network connectivity of these neurons gives rise to a variety of dynamical behaviors and understanding it is key to describing the underlying evolution of the system. However, in our analysis of…
The goal of this conference is to bring young mathematicians together, both as speakers and as participants. The talks will cover an array of subject areas that are well represented in the Duke Journal. There will be nine talks by young mathematicians. More information can be found at: https://sites.duke.edu/dmj2018/
Speaker 1: Faye Pasley Title: Determinantal Representations, the Numerical Range, and Invariance We study hyperbolic polynomials with symmetry and express them as the determinant of a Hermitian matrix with special structure. By properly modifying a construction of Dixon (1902), we show for every hyperbolic polynomial of degree $n$ invariant under the cyclic group of order $n$ there…
Maggie Figueroa Title: Breaking Cryptography – the Discrete Log Problem Abstract: The goal of cryptography is to allow ciphertext to be decoded only by the intended recipient. The privacy of the message relies heavily on the key used in the encryption function. Once a key is obtained, the decryption function follows easily. Cryptosystems such as…
There are many reasons, moral and practical, why we need to diversify our mathematics departments — and more generally STEM departments and the workforce. But how do we go about it? A good starting point is to realize the various barriers to an inclusive environment. In this talk, a case study will be used to…
Given a graph G on n vertices, Postnikov defined a graph associahedron P_G as an example of a generalized permutohedron, a polytope whose normal fan coarsens the braid arrangement. Combinatorially, each face of P_G corresponds to certain collections of compatible subgraphs of G called tubings. Graph associahedra were introduced independently by Carr and Devadoss and…
For a reading this time, I suggest this interview with Rochelle Gutiérrez, which was just published in the Notices of the AMS this month, and which I have attached. Juanita had suggested Professor Gutiérrez as a possible colloquium speaker, and I think that the interview makes an interesting read. Also, I will mention the Statistics…
Starting at 3:30 PM, please join us in the Commons, SAS 4104, before tomorrow's Fall Department Meeting for NC State's own Howling Cow ice cream!
We construct smooth compact 4-manifolds homotopy equivalent to S^2 which do not contain nicely embedded spheres realizing the homotopy equivalence.
This meeting is for the COS administration to meet and speak with the math faculty. Dean McGahan will start the discussion and will have a Q&A session at this meeting. Also, Debbie Carraway, COS Director of Information Technology, Meghan Kerr, COS Director of Research Administration, and Roy Baroff, NC State Faculty and Staff Ombudsman, will…
Join AWM as they host their weekly brown bag lunch in SAS 4104.