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Graduate Program in Logic

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 mostly repeating after two years):

Past offerings
Semester Course number Course title Instructor
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
Fall 2017 course break - -
Spring 2018 MATH 649 Applied Model Theory Ross

Future offerings:

Semester Course number Course title Instructor
Fall 2018 MATH 654 Graduate Introduction to Logic Kjos-Hanssen
Spring 2019 MATH 655 Set theory Williams
Fall 2019 course break - -
Spring 2020 MATH 657 Computability and Complexity Kjos-Hanssen
Fall 2020 MATH 654 Graduate Introduction to Logic TBA
Spring 2021 MATH 649 Applied model theory Ross

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

Past offerings
Semester Course number Course title Instructor
Fall 2012 MATH 454 Axiomatic Set Theory Kjos-Hanssen
Spring 2013 MATH 455 Mathematical Logic Kjos-Hanssen
Fall 2014 MATH 454 Axiomatic Set Theory Ross
Spring 2015 MATH 455 Mathematical Logic Khan
Spring 2016 MATH 454 Axiomatic Set Theory Khan
Spring 2017 MATH 455 Mathematical Logic Ross
Spring 2018 MATH 455 Mathematical Logic Khan

Potential future offerings:

Semester Course number Course title Instructor
Spring 2019 MATH 455 Mathematical Logic TBA
Fall 2019 MATH 454 Axiomatic Set Theory TBA

Faculty teaching in the program

David A. Ross, Professor
Bjørn Kjos-Hanssen, Professor
Achilles Beros, Temporary Assistant Professor 2015-2019
Kameryn Williams, Temporary Assistant Professor 2018–2019

Marriott’s doctoral defense

O1_to_O2
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 con figuration 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 di fferent substances, both influenced by the same control
field.
More…