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Graduate & Undergraduate programs in mathematical 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.

The local logic seminar is meeting weekly in-person in Fall 2021 after being on pandemic hiatus during the academic year Fall 2020 – Spring 2021.

See also: the international online seminar Computability Theory and Applications.

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

Graduate courses

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
Spring 2018 MATH 649 Applied Model Theory Ross
Fall 2018 MATH 654 Graduate Introduction to Logic Kjos-Hanssen
Spring 2019 MATH 655 Set theory Williams
Spring 2020 MATH 657 Computability and Complexity Kjos-Hanssen
Fall 2020 MATH 654 Graduate Introduction to Logic Kjos-Hanssen
Spring 2021 MATH 649 Applied model theory Ross

Future offerings:

Semester Course number Course title Instructor
Spring 2022 MATH 657 Computability and Complexity Kjos-Hanssen
Fall 2022 MATH 654 Graduate Introduction to Logic TBA

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

Undergraduate courses

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
Fall 2019 MATH 454 Axiomatic Set Theory Williams
Spring 2020 MATH 455 Mathematical Logic Williams
Fall 2021 MATH 454 Axiomatic Set Theory Kjos-Hanssen

Future offerings:

Semester Course number Course title Instructor
Spring 2022 MATH 455 Mathematical Logic Ross

Faculty teaching in the program

David A. Ross, Professor
Bjørn Kjos-Hanssen, Professor

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Undergraduate math research

Here are some of our faculty members and their work providing undergrads with research experiences.
  • Monique Chyba has been working with undergraduates for many years, on drones, Covid, etc.
  • Daisuke Takagi has been working with undergraduates and plans to continue
  • Bjørn Kjos-Hanssen worked with undergraduate researchers sponsored by UROP (summer 2019) and sponsored by Decision Research Corporation (summer 2020,2021,2022)
  • Malik Younsi worked with an undergraduate researcher sponsored by UROP (summer 2019)

Academic Minor in Mathematics

Math Minor Requirements (in general):

  • MATH 243 or 253A
  • 12 credit hours in mathematics courses numbered above 300, including:
    • 3 credit hours in a writing-intensive mathematics course
    • 6 credit hours in courses numbered above 400

More specific Math Minor requirements:

  • If Math 243 is a requirement for your major but you did not take Math 253A, you must:
    • complete Math 244
    • complete 12  credits in mathematics courses numbered above 300 that include:
      • 3 credit hours in writing-intensive mathematics courses
      • 6 credit hours in courses 400 and above (excluding Math 480)
  • If both Math 243 and Math 244 are requirements for your major, or if you took Math 253A for your major requirement, you must:
    • complete 15 credits in mathematics courses numbered above 300 that include:
      • 3 credit hours in writing-intensive mathematics courses
      • 6 credit hours in courses 400 and above (excluding Math 480)

All required courses must be completed with a grade of “C” or better. Courses used to fulfill core or major requirements cannot be counted for the minor. Exceptions are:

  • Engineering students may count their Engineering mathematics electives and technical elective (if taken in mathematics) and Math 302 and 307 towards a minor in mathematics.
  • BA Physics, BS Physics, and BS Astrophysics students may count their Math 307 or 311 major requirement towards a minor in mathematics.

ADDITIONAL INFORMATION

  • The requirements include work at the senior level and allow the choice of specific courses which best complement work in the student’s major field.
  • Students who are interested in minoring in mathematics are urged to consult a departmental advisor early in their academic career and schedule a Minor Declaration Appointment.
  • Prior to graduation (at least one semester in advance), a Certification of Academic Minor form should be completed in consultation with a departmental advisor.