Crumples in a sheet of paper, wrinkles on curtains, cracks in metallic alloys, and defects in superconductors are examples of patterns in materials. A thorough understanding of the underlying phenomenon behind the pattern formation provides a different prospective on the properties of the existing materials and contributes to the development of new ones. In my talk…
Geneva Collins Title : Automatic Geometric Theorem Proving: Sangaku From an Algebraic PerspectiveAbstract: During the Edo period (1603-1867 CE) Japan was almost completely closed off from the rest of the world and developed its own mathematical tradition called wasan. Part of this tradition was to hang tablets, known as sangaku, in the eaves of a…
For an un-oriented link K, let L(K) be the ropelength of K. It is known that in general L(K) is at least of the order O((Cr(K))3/4), and at most of the order O(Cr(K) ln5 (Cr(K)) where Cr(K) is the minimum crossing number of K. Furthermore, it is known that there exist families of (infinitely many) links with the property…
From ultrasound scanners used before birth to environmental sensors that monitor the pathways of harmful substances, imaging technologies play an important role in human lives. In this workshop, I will explain some of the mathematical ideas behind image reconstructions: how they work, what their limitations are, and what uncertainties are associated with interpreting the images generated by imaging technologies. Bio: Arvind…
The original construction of the Khovanov homology of a link can be seen as a formal complex in the category of flat tangles and surfaces between them. There is a way to associate a chain map with a link cobordism, but only up to a sign. Blanchet has fixed this by introducing the category of gl(2)-foams, certain singular cobordisms…
The Math Graduation Ceremony for Spring 2019 will be held on Friday, May 10th at 10:00am in the McKimmon Center. Directions for the McKimmon Center is located here.
Di will be retiring June 1, 2019. Di has almost twenty-seven years of service to the state and and almost exactly 19 years with the department. Please join us in celebrating her retirement.
The IMSM workshop starts with a welcome reception at 5pm on Sunday, July 14, 2019 and ends at 8pm on July 24, 2019. Location: The IMSM workshop will held in SAS Hall on the campus of North Carolina State University. Objective: expose graduate students in mathematics, statistics, and computational science to challenging and exciting real-world…
A commonly used stochastic model for the derivative and commodity market analysis is the Barndorff-Nielsen and Shephard (BN-S) model. At first, an application of the BN-S model will be presented to find an optimal hedging strategy for the oil commodity from the Bakken, a new region of oil extraction that is benefiting from fracking technology.…
We discuss mathematical modeling and analysis of the incompressible viscous flow at the interface of permeable media. Very recently, a simplified theory with asymptotic modeling and related approximations was extensively developed by to provide physically relevant jump interface conditions for the two- or three-dimensional non-inertial flow at the interface of a permeable medium. The results…