Faculty and students interested in the applications of mathematics are an integral part of the Department of Mathematics; there is no formal separation between pure and applied mathematics, and the Department takes pride in the many ways in which they enrich each other. We also benefit tremendously from close collaborations with faculty and students in other departments at UH.
The Department regularly offers courses in ordinary and partial differential equations and their numerical solution, discrete applied mathematics, the methods of mathematical physics, mathematical biology (including a
certificate in mathematical biology), the mathematical aspects of fluid and solid mechanics, approximation theory, scientific computing, numerical linear algebra, and mathematical aspects of computer science. Courses in probability theory, stochastic processes, data analysis are regularly offered as are courses in combinatorial and convex optimization. Our students are encouraged to take courses of mathematical interest in these and offering from other departments.
Visitors and Friends
Colleagues who have visited us in recent years include: John Chadam, Olga Cordero-Brana, Robert Gardner, Jerrold Marsden.
Mathematical analysis encompasses many areas involving complex function theory, differential equations, harmonic analysis, operator theory, probability theory and many other areas. Very roughly, mathematical analysis generally involves spaces of functions and their limits.
Visitors and Friends
Colleagues who have visited us in recent years include: Pat Ahern, Ann Castelfranco, Boo Rim Choe, Paul Cohen, Alex Gottlieb, Kathryn Hare, Walter Hayman, Hyungwoon Koo, Mark Lawrence, Walter Rudin, Joel Shapiro, Ken Stephenson, Alexander Volberg, Yitzhak Weit, Larry Zalcman.
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.
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.