Tye Lidman, NC State, Spineless 4-manifolds
We construct smooth compact 4-manifolds homotopy equivalent to S^2 which do not contain nicely embedded spheres realizing the homotopy equivalence.
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.
AWM is hosting a welcome event on Friday, Aug. 31st from 3 - 4:30 pm. Please join us for an ice-breaker activity and snacks as we (hopefully) meet some new members. Let new office or classmates know how fun we are and encourage them to come! Remember, AWM is not just for women rather we…
Some physically significant solutions to Einstein's field equations are spacetimes which are foliated by a family of curves called a shear-free null geodesic congruence (SFNGC). Examples include models of gravitational waves that were recently detected, and rotating black holes. The properties of a SFNGC induce a CR structure on the 3-dimensional leaf space of the…
Target Audience: First and Second Years
The number of inversions of a permutation is the number of pairs (i < j) for which w_i > w_j. This important statistic that arises in many contexts, including as the minimum number of simple transpositions needed to express the permutation and, equivalently, as the rank function for weak Bruhat order on the symmetric group.…
Borosilicate glass is the material predominately used for encasing carbon fiber (CF) microelectrodes for fast-scan cyclic voltammetry (FSCV) experiments. These capillaries insulate unexposed CF from the surrounding environment, while leaving a 150-200 um exposed CF tip in vivo that allows for electrochemical measurements of neurotransmitters. However, borosilicate glass commonly breaks during implantation; this can leave…
This will be an informal discussion for graduate students about the opportunities and benefits available through the Society for Industrial and Applied Mathematics (SIAM).
Reception to follow in SAS Hall Atrium. Recent advances in large scale sequencing of microbial DNA without culturing or isolation gives us easy and direct access to “wild” microbial metagenomes that are otherwise virtually impossible to study. However, because these data sets are large and relatively unstructured, analyzing them requires advancing data science techniques…
The P-partition generating function of a (naturally labeled) poset P is a quasisymmetric function enumerating order-preserving maps from P to Z^+. Using the Hopf algebra of posets, we give necessary conditions for two posets to have the same generating function. In particular, we show that they must have the same number of antichains of each…
What to do when the size and complexity of your model essentially prevent you from using it? Well, get a smaller and simpler model... At the heart of this dimension reduction process is the notion of parameter importance which, ultimately, is part of the modeling process itself. Global Sensitivity Analysis (GSA) aims at efficiently identifying important…
In this talk we will discuss new classes of models that seek to describe evolution of a congregation of agents based on laws of self-organization. These models appear in a broad range of applications -- from biological sciences to social behavior. We focus on two long time phenomena: flocking and alignment. It has been a mathematical challenge…
This talk describes tips and tricks for building a successful career in the quantitative sciences. It covers research strategies, work/life balance, networking, and management of the portfolio of activities needed for different kinds of careers (academic, government, and industry). There is particular emphasis on how the professional societies can help advance your career. All graduate…
Mathematical modeling is a way for researchers to visualize components of a system and analyze how those components interact. When these models become significantly large, many problems arise. Here are a few: 1. As models increasingly complex with a myriad of parts, it is prudent for the researcher to ask whether all of these…
Target Audience: First and Second Years