Pavel Guerzhoy

This is not me. However, our attitudes towards the Hawaiian beach, where we found ourselves due to a combination of waves and currents of both the ocean and life, coincide.
Assistant Professor
Department of Mathematics
University of Hawaii
2565 McCarthy Mall
Honolulu, HI 96822


Phone: (808) 956-6533
Email: pavel(at)math(dot)hawaii(dot)edu


Office: 501, Keller Hall. You may find me there almost every evening.


Research

My area of mathematical activity is Number Theory . More specifically, I study the p-adic aspects of the theory of Modular Forms, Elliptic Curves and associated L-functions. This area of Number Theory takes its roots in the classical analytic theory of elliptic and modular functions. Its modern development has been motivated by deep conjectures, such as the conjecture of Birch and Swinnerton-Dyer. Recently it found impressive applications in the area of modern cryptography and information technology. My research involves a substantial amount of computer calculations. The students willing to learn exciting mathematics and at the same time become trained in contemporary technology are welcome to participate! I am proud to acknowledge that my research is currently supported by a National Science Foundation standard research grant DMS-0700933, "Congruences Related to Modular Forms" , where I am the Principal Investigator. Graduate students are encouraged to join my class and to take part in this research.

My publications are available here.


Conferences

Together with Ken Ono I have organized

The Hawaii workshop on the arithmetic of modular forms .


Teaching

Click here to find out about my grading attitude
This semester I teach
  • Congruences related to modular forms
  • Introduction to Abstract Algebra
  • Calculus I
    My office hours: Tuesdays and Thursdays 12:00-1:20 and 3:00-4:00pm



    Classes taught in the recent years



    Those who are interested in more advanced subjects may have a look at an extended version of my lecture on continued fractions,
    which I gave on an occasion at Lehigh University.



    Together with Professor Dovermann I am running a yearly UH Manoa Mathematics Contest for high school students. In order to get some flavor of this event, you are encouraged to try to solve the problems from the previous years contests, or just to look at the pictures from these competitions.
    Those who want to get prepared for 2009 contest are to consult practice problems. Please do not hesitate to contact me if you have questions, remarks, or suggestions in this connection.
    Here are the results of the 2007 contest.
    Here are the results of the 2008 contest.



    Those who are interested in using technology in classroom may have a look at an online version of the game Bulls and Cows , which I designed and programmed for Mathematical Recreations class which I taught in Temple University. The game is intended to sharpen the students' logical reasoning skills, and fits well into the objectives of the class. Meanwhile it is amusing and may serve as a source of fun for everyone willing to play it.