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.
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 .
to find out about my grading attitude
This Spring 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
which I gave on an occasion at Lehigh University.
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.
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.
- The University of Hawai'i at Mānoa
- Keller Hall 303
- December 15th, 2012, at 10am - 3:30pm
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.