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.
We both agree with Navigare necesse est (vivere non est necesse)
Professor of Mathematics
Department of Mathematics
University of Hawaii
2565 McCarthy Mall
Honolulu, HI 96822



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.



Research

My area of mathematical activity is Number Theory. More specifically, I am interested in Modular Forms (and many related objects). 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!

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.



Teaching

Click here to find out about my grading attitude

This Fall semester I teach

  • Topics in Algebra -- Elliptic Curves





  • Classes taught in the recent years




    Undergraduate students

    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.




    The UH at Manoa does participate in Putnam competition. Please follow the link for additional information about the competition and the preparation sessions.





    Hanf Competition (for undergraduate students)

    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.