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)
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.
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
which I gave on an occasion at Lehigh University.
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.