Areas of active research in algebra and number theory in the department are generally situated within algebraic number theory, arithmetic geometry, the theory of modular forms, and universal algebra. Specific subfields include: arithmetic dynamics, arithmetic statistics, computational number theory, Iwasawa theory, and mock modular forms of integral and half-integral weight, primarily from an algebraic/p-adic prospective.
Visitors and Friends
Colleagues who have spent extended visits with us in recent years include: Khalid Benabdallah, Greg Brumfiel, Danielle Gondard, Keith Kearnes, Claude Levesque, Jon Merzel, Otto Mutzbauer, Nilakatan Sankaran, Tara Smith, Lutz Strüngmann and Charles Vinsonhaler.
Past winners of this national competition include physicist and Nobel Prize Laureates Richard Feynman and Kenneth Wilson.
Amongst mathematicians, the list of Putnam Fellows includes a huge
number of famous mathematicians including Fields Medalist John Milnor
and former UH Manoa Mathematics Professor William Hanf.
Each year, the examination will be constructed to test originality as well as
technical competence. It is expected that the contestant will be familiar
with the formal theories embodied in undergraduate mathematics.
It is assumed that such training, designed for mathematics and physical science
majors, will include somewhat more sophisticated mathematical concepts
than is the case in minimal courses. Thus the differential equations
course is presumed to include some references to qualitative existence
theorems and subtleties beyond the routine solution devices.
Questions will be included that cut across the bounds of various disciplines, and
self-contained questions that do not fit into any of the usual categories
may be included. It will be assumed that the contestant has acquired a
familiarity with the body of mathematical lore commonly discussed in
mathematics clubs or in courses with such titles as Survey of the Foundations of Mathematics.
It is also expected that the self-contained
questions involving elementary concepts from group theory, set theory,
graph theory, lattice theory, number theory, and cardinal arithmetic will
not be entirely foreign to the contestant's experience.
For more information concerning the Putnam competition; which is given each
year in December, contact
Prof Pavel Guerzhoy.
On Saturday people can park anywhere on
campus for a flat fee of 5 dollars. On Sunday parking is free. However,
renting a car for driving to the UH is not worth it. Parking in
Waikiki is expensive and it is easy to get from Waikiki to the UH
campus by bus or cab.
The bus fare for a single trip (any distance) plus one
transfer is 2.50 dollars exact change. For seniors over 65 with a Medicare
card the rate is 1 dollar.
The #4 bus runs from Kuhio Avenue to the University. Persons staying
at Hokele Suites get to Kuhio Avenue in a few steps heading toward the
sea (makai). People staying in the Maile Sky Court only need to look
for the nearest bus stop. To get to the UH take the bus on the
mountain (mauka) side of Kuhio Avenue.
People staying at the Hawaii Prince Hotel or the Hilton Hawaiian
Village will have to walk 5 to 10 minutes to the #4 bus stop on the
McCully Bridge over the Ala Wai Canal or take the very frequent #8
bus to the Ala Moana Shopping Center and there catch the #6 bus.
The #4 bus runs along Kuhio Ave and departs at Monsarrat/Kalakaua on
Saturday at 6:00a, 6:30a, 6:58a, 7:25a, 8:15a. On Sunday departure times
are 6:15a, 6:55a, 7:30a, 8:00a, 8:30a. It takes about 25 minutes to
reach the UH. Monsarrat/Kalakaua is located at the Diamond Head end of
Waikiki so it will take some 5 to 10 minutes for the bus to reach the
other end of Kuhio Ave.
On Saturday the A City Express Bus leaves from the Ala Wai Community
Park at 5:55a, 6:25a, 6:35a, 6:55a, 7:05a, 7:25a and on Sunday at
6:20a, 6:50a, 7:20a and 7:50a. The bus stop is on Kapiolani Boulevard
Diamond Head of McCully Street (turn right after crossing McCully
bridge coming from Waikiki). This bus takes 9 minutes to get to the UH.
The #6 bus leaves the Ala Moana Shopping Center, Kona Street
(direction Woodlawn) on Saturday at 5:42a, 6:07a, 6:37a, 7:04a, 7:34a,
8:04a, 8:35a and on Sunday at 6:21a, 7:06a, 7:54a, 8:24a reaching the
UH in about 10 minutes.
Cabs
Cabs in Hawaii have to be pre-ordered by phone. The fare
from Waikiki to the UH is 11 to 16 dollars depending on
location in Waikiki. Thus sharing a cab
between three or four people would be a reasonable option.
Beaches
The Hilton Hawaiian Village is fronting a swimming
beach. The Hawaiian Prince Hotel overlooks the yacht harbor but a
short walk is required to get to a swimming beach. From the Hokele
Suites and the Maile Sky Court one can reach the busy Waikiki Beach in
a few minutes.
