Wednesday, April 15th, 2015

Student Talk Series: Carl D. Garthwaite, Vencore Inc., April 16th in Olin 268 @ noon

Title: So You Think Your Errors Are Random… Abstract: In the development of radio frequency systems for digital communications, great attention is given to achieving low error rate performance. Oversimplification of assumptions, however, such as treating bit errors as independent, identically distributed (iid) events may lead to seriously flawed projections of performance.  An examination of the statistical behavior of error sequence correlation shows how reasonable observation schemes supported by computer-based models can yield useful insight into likely system performance.

Continue reading Student Talk Series: Carl D. Garthwaite, Vencore Inc., April 16th in Olin 268 @ noon »

Friday, April 10th, 2015

Distinguished Visiting Professor Talk Series: Constanze Liaw, Baylor University, April 14th @4pm in Olin 372

Title: Perspectives on Rank 1 Perturbations Abstract:  The central question in perturbation theory is as follows. Let A and B be linear transformations; think of (NxN)-matrices or differential operators. we know the eigenvalues of A and have partial information about B. What can we say about the eigenvalues of A+B? The perturbation is said to be of rank 1, if we assume that B is a vector projection. This seemingly simple example (a) exhibits a surprisingly rich theory with connections to harmonic analysis and operator theory; and (b) arises naturally in mathematical physics via a change of boundary conditions of a second order […]

Continue reading Distinguished Visiting Professor Talk Series: Constanze Liaw, Baylor University, April 14th @4pm in Olin 372 »

Friday, April 10th, 2015

Distinguished Visiting Professor Talk Series: Constanze Liaw, Baylor University, April 16th @4pm in Olin 372

Title: Finding Cyclic Vectors Abstract:  In perturbation theory, the cyclicity (i.e. completeness of the forward orbit for some vector) of an operator is often a natural assumption in the hypothesis of many results. We discuss two sets of results. (a) We consider rank one perturbations and some applications concerning the locations where functions of the Payley-Wiener class are allowed to have zeros. (b) We study so-called Anderson-type Hamiltonians (a generalization of random Schroedinger operators) and state that under mild conditions, every non-zero vector is cyclic almost surely. This result is related to the long-standing problem of Anderson localization.

Continue reading Distinguished Visiting Professor Talk Series: Constanze Liaw, Baylor University, April 16th @4pm in Olin 372 »

Thursday, April 9th, 2015

Student Talk Series: Kevin Wilson ’03, National Security Agency, April 9th in Olin 268 @ noon

Title: How a Mathematician Defeated the Enigma (and a pitch for doing math at NSA). Abstract:  Have you ever wondered how the German Enigma cryptographic device was defeated in World War II? Come see how a mathematician helped shorten the war by two years, and learn some math and history along the way. You will also have the opportunity to learn about mathematical summer internships and careers at NSA.

Continue reading Student Talk Series: Kevin Wilson ’03, National Security Agency, April 9th in Olin 268 @ noon »

Tuesday, March 24th, 2015

Student Talk Series: Patrick McDonald, New College of Florida, March 26th in Olin 268 @ noon

Title: Sticks and Stones Abstract: In addition to their value as pure entertainment, games provide a rich environment in which to prototype ideas meant for application in a variety of fields: mathematics, computer science, and biology to name a few. In this talk I will introduce two games, one involving sticks and one involving stones, both of which are easy to play. Despite their simplicity, the games are remarkably useful: I will use them as an introduction to some important ideas involving the theory of algorithms. In particular, I will introduce the notion of dynamic programming, a general purpose tool commonly used to […]

Continue reading Student Talk Series: Patrick McDonald, New College of Florida, March 26th in Olin 268 @ noon »

Friday, February 20th, 2015

Student Talk Series: Sam Gross, Bloomsburg University, February 26th in Olin 268 @ noon

Title: 49598666989151226098104244512918 Abstract: This seemingly random number answers a question investigated by A. Cohn circa 1909, and makes a connection between prime numbers and irreducible polynomials (although the number is obviously not prime itself!). Time permitting, we will discuss other potential connections between prime numbers and polynomials.

Continue reading Student Talk Series: Sam Gross, Bloomsburg University, February 26th in Olin 268 @ noon »

Thursday, February 19th, 2015

Distinguished Visiting Professor Talk Series: Nicolas Sirolli, Universidad de Buenos Aires, Febuary 19th @4pm in Olin 372

Title: A Cohomological Interpretation of the Class Group Abstract: The celebrated Class Number Formula, which dates from the nineteenth century, relates the residue of the Dedekind Zeta function of a number field to the order of its class group, among its other main invariants. According to the Birch and Swinnerton-Dyer conjecture, one of the Millenium Problems, there should be a notably similar formula relating the main arithmetic invariants of an elliptic curve to a certain derivative of its L-function. One of these is the (conjecturally finite) order of its Tate-Shafarevich group, which arises from considering the cohomology of the Galois group acting […]

Continue reading Distinguished Visiting Professor Talk Series: Nicolas Sirolli, Universidad de Buenos Aires, Febuary 19th @4pm in Olin 372 »