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.
Professor of Mathematics
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.

"Guerzhoy" is pronounced guer-ZHOY. "Zh" is a digraph.


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 Simons Foundation Collaboration Grant. Graduate students are encouraged to join my class and to take part in this research.

From my general policies:

I am bad at keeping any math confidential. Being a child, I got impressed by "It is unspeakable to cover a theorem, one may only discover one!", in Hugo Steinhaus, "What is and what is not Mathematics".

My publications are available here.


  • I am organizing Modular forms workshop. The workshop is partially supported by the Simons foundation collaboration grant.

  • Together with Zachary Kent I have been an coorganizer of Special Session on Automorphic and Modular Forms which was a part of the AMS 2012 Spring Western Section Meeting at the University of Hawaii at Manoa.

  • Together with Xander Faber, Zachary Kent, Claude Levesque , and Michelle Manes I have been a coorganizer of Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms.

  • Together with Zachary Kent and Ken Ono I have organized 24th Automorphic Forms Workshop . The workshop was partially supported by a National Science Foundation research grant DMS-1001166.

  • Together with Ken Ono I have organized The Hawaii workshop on the arithmetic of modular forms .


    Click here to find out about my grading attitude
    This Fall semester I teach
  • Math 100 Survey of Mathematics

  • 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.

    Hanf Competition (for undergraduate students)

    Together with Professor Csordas I am running Hanf Competition. This is a mathematical problem-solving contest for undergraduate students. Students enrolled in my classes may, at any time during the semester, solve a problem from the list. I do appreciate that, and promise to increase the grade by at least 15% for a correct solution of any of these problems. That it simply because I consider the problem solving skills highly relevant to mathematics.

    UH Manoa Mathematics Contest (for high school students)

    The next contest will be held at:

    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 2011 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.
    Here are the results of the 2009 contest.
    Here are the results of the 2010 contest.
    Here are the results of the 2011 contest.
    Here are the results of the 2011 winter contest.
    Here are the results of the 2012 contest.