Research
Algebraic curves and their moduli spaces, field of moduli versus field of definition, minimal models, complex multiplication, arithmetic aspects on Jacobian varieties. Most of the topics above are being summarized in a book From hyperelliptic to superelliptic curves which hopefully be ready by Summer 2022. Click on the link to check on finished pieces of the book.Papers
Below are my last 5 papers. For a complete list of papers and preprints see Papers- A. Obus, T. Shaska; Superelliptic curves with many automorphisms and CM Jacobians Mathematics of Computation, Vol. 90. Number 331, 2021.
- A. Clingher, A. Malmendier, T. Shaska, On isogenies among certain Abelian varieties, Michigan Mathematics Journal, 2021 (43 pages)
- L. Beshaj, J. Gutierrez, T. Shaska, Weighted greatest common divisors and weighted heights, Journal of Number Theory, 2020.
- A. Clingher, A. Malmendier, T. Shaska, Configurations of 6 lines and string dualities, Comm. Math. Phys. 371 (2019), no. 1, 159–196.
- A. Malmendier and T. Shaska, The Satake sextic in F-theory, Journal of Geometry and Physics, vol. 120, 2017, 290-305.
Editorial
- Abelian varieties and number theory. Edited by Moshe Jarden and Tony Shaska. Contemporary Mathematics, 767, 2021.
- Integrable systems and algebraic geometry. Volume 2. Edited by Ron Donagi, Tony Shaska, London Mathematical Society Lecture Note Series 459. Cambridge University Press (2020).
- Integrable systems and algebraic geometry. Volume 1. Edited by Ron Donagi, Tony Shaska, London Mathematical Society Lecture Note Series 458. Cambridge University Press (2020).
- Algebraic curves and their applications. Edited by Lubjana Beshaj and Tony Shaska. Contemporary Mathematics, 724, 2019.
- Higher genus curves in mathematical physics and arithmetic geometry. Edited by Andreas Malmendier and Tony Shaska. Contemporary Mathematics, 703, 2018.
- Advances on superelliptic curves and their applications. Edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa. NATO Science for Peace and Security Series D: Information and Communication Security, 41. IOS Press, Amsterdam, 2015.
- Algebraic aspects of digital communications. Edited by Tanush Shaska and Engjell Hasimaj. NATO Science for Peace and Security Series D: Information and Communication Security, 24. IOS Press, Amsterdam, 2009.
- Advances in coding theory and cryptography. Edited by T. Shaska, W. C. Huffman, D. Joyner and V. Ustimenko. Series on Coding Theory and Cryptology, 3. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007
- Computational aspects of algebraic curves. Edited by Tanush Shaska. Lecture Notes Series on Computing, 13. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005.
- Progress in Galois theory. Proceedings of John Thompson's 70th Birthday, Edited by Helmut Volklein and Tanush Shaska. Developments in Mathematics, 12. Springer, New York, 2005.
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 MathSciNet and zbmath .
Interested authors can send papers to me or any member of the Editorial Board. The reviewing process is about 3 months and the papers are posted online as soon as they are accepted. For more information go to the journal website or contact me directly.
Teaching Schedule
| Fall 2021 | Winter 2022 |
|---|---|
| MTH 2775: Linear Algebra | MTH 2775: Linear Algebra |
| MTH 4775 Abstract Algebra I | MTH 4776 Abstract Algebra II |
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)