Currently my research activities are focused on:
- Extending the theory of hyperelliptic curves to superelliptic curves
- Developing a height machinery (a-la Weil) for weighted projective varieties
For current preprints see Papers
Arithmetic Geometry Seminar
We meet on Mondays 3:30-4:30 at Room: 548 MSC.
Occasionally we have speakers from other schools, but in general it is between myself and my students. Our focus is mostly on algebraic curves, automorphisms, minimal models, Jacobians, moduli spaces, weighted projective varieties, and the theory of heights.
I am an editor for the Albanian Journal of Mathematics.
The journal started in 2007 and has been published continuously since. It is reviewed by both
Interested authors can send papers to me or any member of the Editorial Board.
Words of wisdom . . .
"I can't believe they destroyed a perfectly good old farm to build this damn university" (From an old colleague)
“… Maybe you’ll find yourself in a mediocre department, where your work will be intentionally undervalued, people with much lesser research record will be promoted before you, and the hypocrites and frauds will run wild. Don’t get discouraged, don’t give up! Remember why you got into math?!
It wasn’t for the money, recognition, or fame, it was for that special feeling that you get when you find the perfect solution or understand a beautiful argument. That hasn’t changed, son! If you still got that magical feeling, then you are doing fine.” (From Dad)
David Hilbert’s radio address - English translation.
“… There is a secret to mathematics. Do what you can, not what you dreamed of doing! And try to learn from any paper that you write.”
(John Thompson after my dissertation defense)
“Certainly the best times were when I was alone with mathematics, free of ambition and pretense, and indifferent to the world.”
Langlands, in Mathematicians: An Outer View of the Inner World, p142. (From James Milne website)