The Department of Mathematics at University of Hawaii at Manoa has long had an informal graduate program in logic, lattice theory, and universal algebra (People, Courses, Description) going back to Alfred Tarski’s 1963 student William Hanf.

We are offering the following course rotation (courses repeating after two years):

Semester

Course number

Course title

Instructor

Fall 2015

MATH 649B

Graduate Seminar

Kjos-Hanssen

Spring 2016

MATH 649

Applied Model Theory

Ross

Fall 2016

MATH 654

Graduate Introduction to Logic

Beros

Spring 2017

MATH 657

Computability and Complexity

Khan

It is also recommended that students familiarize themselves with undergraduate level logic, which is offered on the following schedule:

John Marriott, a student of Prof. Monique Chyba, will defend his doctoral dissertation on September 5.

Abstract

This work addresses the contrast problem in nuclear magnetic resonance as a Mayer problem in
optimal control. This is a problem motivated by improving the visible contrast in magnetic resonance
imaging, in which the magnetization of the nuclei of the substances imaged are first prepared by
being set to a particular configuration by an external magnetic field, the control. In particular we
examine the contrast problem by saturation, wherein the magnetization of the first substance is
set to zero. This system is modeled by a pair of Bloch equations representing the evolution of the
magnetization vectors of the nuclei of two different substances, both influenced by the same control
field. More…

Graduate student Rintaro “Yoshi” Yoshida will defend the degree of Ph.D. on Thursday May 2, 2:00pm, in Keller 301.

We invite the reader to consider the entire function whose restriction to $\mathbb R$ is pictured above:
$$\varphi_{_{1/5}}(x) = \sum_{k=0}^\infty \frac{x^k}{(k!)^{(6/5)}}$$
Do you think this function has any non-real zeros? Does it belong to the Laguerre-Pólya class? See the draft dissertation for answers.