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.
Furthermore, I am interested in applications of algebra to data storage, protection, and security.
Latests papers
Below are my last few papers. For a complete list of papers and preprints see Papers
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A. Clingher, A. Malmendier, T. Shaska;
Geometry of Prym varieties for special bielliptic curves of genus three and five,
Pure and Applied Mathematics Quarterly, (to appear)
- A. Obus, T. Shaska;
Superelliptic curves with many automorphisms and CM Jacobians,
Math. Comp. 90 (2021), no. 332, 2951–2975.
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A. Clingher, A. Malmendier, T. Shaska,
On isogenies among certain Abelian varieties,
Michigan Mathematics Journal, 2021 (43 pages)
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L. Beshaj, J. Gutierrez, T. Shaska,
Weighted greatest common divisors and weighted heights,
J. Number Theory 213 (2020), 319–346.
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A. Clingher, A. Malmendier, T. Shaska,
Configurations of 6 lines and string dualities,
Comm. Math. Phys. 371 (2019), no. 1, 159–196.
Editorial
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Abelian varieties and number theory. Edited by Moshe Jarden and Tony Shaska. Contemporary Mathematics, 767, 2021.
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Integrable systems and algebraic geometry. Volume 2. Eds. R. Donagi, T. Shaska,
London Math. Soc. Lecture Note Series 459. (2020).
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Integrable systems and algebraic geometry. Volume 1. Eds. R. Donagi, T. Shaska,
London Math. Soc. Lecture Note Series 458. (2020).
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Algebraic curves and their applications.
Eds. by L. Beshaj and T. Shaska. Contemporary Mathematics, 724, 2019.
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Higher genus curves in mathematical physics and arithmetic geometry. Eds. A. Malmendier and T. Shaska. Contemporary Math., 703, 2018.
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Advances on superelliptic curves and their applications. Eds. L. Beshaj, T. Shaska, E. Zhupa. NATO Science for Peace and Security Series D: Information and Communication Security, 41. IOS Press, Amsterdam, 2015.
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Algebraic aspects of digital communications. Eds. T. Shaska, E. Hasimaj. NATO Science for Peace and Security Series D: Information and Communication Security, 24. IOS Press, Amsterdam, 2009.
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Advances in coding theory and cryptography. Eds. T. Shaska, W. C. Huffman, D. Joyner, V. Ustimenko.
Series on Coding Theory and Cryptology, 3. World Scientific, 2007
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Computational aspects of algebraic curves. Ed. T. Shaska. Lecture Notes Series on Computing, 13. World Scientific, 2005.
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Progress in Galois theory. Proceedings of John Thompson's 70th Birthday,
Eds. H. Volklein, T. Shaska. Developments in Mathematics, 12. Springer, New York, 2005.
I am the Editor in Chief 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 and it is a reference journal in ZbMath. Its archives can be found at
Archives and its editorial board at
Editorial Board. The journal is currently a member of the
Euclid Prime Collection.
Interested authors can send papers to me or any member of the Editorial Board. The reviewing process is about 3 months and papers are posted online as soon as they are accepted.
For more information go to the journal website at
albanian-j-math.com
or contact me directly.
Teaching Schedule
For more details on some of the courses that I have taught in the past please see
here.
My current teaching schedule is below.
Administration
I did serve as Rector of the University of Vlora (UV) in Albania from January 2008 until December 2010. During my tenure UV was ranked the highest in Balkans and had over 15 000 students. We created The Faculty of Technical Sciences and new departments in Mathematics, Physics, Chemistry, Computer Science, Electrical and Mechanical Engineering, Finance, etc. In the Fall 2010 there were 160 students who enrolled as Math majors.
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)
