Experimental Knot Music v2 (Sam Nelson, CMC)
In this talk I will recount the history of my knot theory-based music project and show an example of my method for creating music from knot homsets.
In this talk I will recount the history of my knot theory-based music project and show an example of my method for creating music from knot homsets.
Title: Modeling the waning and boosting of immunity Speaker: Dr. Lauren Childs Assistant Professor and the Cliff and Agnes Lilly Faculty Fellow Virgina Tech Abstract: Infectious disease often leads to significant […]
One of the most important axioms in analyzing voting systems is that of "neutrality", which stipulates that the system should treat all candidates symmetrically. Even though this doesn't always directly apply (such as in primary systems or those with intentional incumbent protection), it is extremely important both in theory and practice.If the voting systems in […]
M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman bracket polynomial. The normalized bracket polynomial is obtained from the Kauffman bracket polynomial by the multiplication of indeterminate and it is an ambient isotopy invariant for […]
Title: Solving the Race in Backgammon Speaker: Prof. Arthur Benjamin Smallwood Family Professor of Mathematics Harvey Mudd College Abstract: Backgammon is perhaps the oldest game that is still […]
Title: Modeling Zoonotic Infectious Diseases from Wildlife to Humans Speaker: Prof. Linda J. S. Allen, P. W. Horn Distinguished Professor Emeritus Texas Tech University Abstract: Zoonotic infectious diseases are diseases transmitted from animals to […]
Title: Pareto optimization of resonances and optimal control methods Abstract: First successes in fabrication of high-Q optical cavities two decades ago led to active applied physics and numerical studies of optimization problems involving resonances. The questions is how to design an open resonator that has an eigenvalue as close as possible to the real line […]
This talk is based on joint work with Jens Marklof, and with Roland Roeder. The three distance theorem states that, if x is any real number and N is any […]
(Joint with Ichihara, Jong, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of […]
Title: On sparse geometry of numbers Speaker: Prof. Lenny Fukshansky, Department of Mathematics, Claremont McKenna College Abstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end […]
By Hilbert’s theorem 90, if K is a cyclic number field with Galois group generated by g, then any element of norm 1 can be written as a/g(a). This gives […]