Pavel Guerzhoy
Pavel Guerzhoy 
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 standart research grant DMS-0501225,
"Congruences Related to Modular Forms" , where I am the Prinicipal Investigator.
Here are my CV and list of publications.
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.
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 my Mathematical Recreations, W115/W195 class. 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 sourse of fun for everyone willing to play it.