Papers


32. Sanjeeva, R.; Shaska, T.  The automorphism groups of cyclic curves, (work in progress)

31.
Shaska, T; Wijesiri, S;  Wolf, S.; Woodland, S; Degree four coverings of elliptic curves by genus two curves. Albanian J. Math.
vol. 2. Nr. 4. 2008, 307-315.

30.
Shaska, T; Vanishing theta nulls and genus 3 algebraic curves with automorphisms, New Challenges in digital
communications, NATO Advanced Study Institute, 2008 (in press).

29.
Shaska, T; Ustimenko, V.; On some applications of graphs to cryptography and turbocoding, Albanian J. Math. Vol 2, Nr. 3,
2008, 249-255.

28.
Sanjeeva, S; Shaska, T; Determining equations of families of cyclic curves, Albanian J. Math. Vol 2, Nr. 3, 2008, 199-213

27.
Pjero, N; Ramosaco, M; Shaska, T. Degree even coverings of elliptic curves by genus two curves,   Albanian J. Math, vol. 2. Nr.
3, 2008, 241-248.

26.
Shaska, T.; Ustimenko, V. Applications of liner algebra to the theory of algebraic graphs of large girth, Linear Algebra and Appl.

25. Previato, E,; Shaska, T.; Wijesiri, S. Thetanulls of cyclic curves of small genus, Albanian J. Math., vol. 1, Nr. 4, 2007, 265-282.

24.
Magaard, K.; Shaska, T.; Voelklein, H. Genus 2 curves with degree 5 elliptic subcovers,  Forum Math. (to appear).

23.
 Shaska, T.; Shor, C.; Wijesiri, S. Codes, modular lattices, and corresponding theta functions,  Finite Fields Appl., (submitted)

22.
Shaska, T.  Some open problems in computational algebraic geometry, Special issue Computational Algebraic Geometry,    
Albanian J. Math, vol I,  Nr. 3,  2007, 309-321.

21.
Shaska, T. Quantum codes from algebraic curves with automorphisms. Condensed Matter Physics, 2008, Vol. 11, No 2
(54),383-396.

20.
Shaska, T.; Wijesiri, S.  Codes over rings of size four, Hermitian lattices, and corresponding theta functions, Proc. Amer.Math.
Soc.
, 136 (2008), no.3, 849-857.

19.
Shaska, T,; Wang, H. Automorphism groups of AG-codes based on $C_{ab}$ curves, Serdica J. Computing, vol.1, Nr. 1, 2007.

18.
Shaska, T.; Shor, C. Codes over $F_{p^2}$ and $F_p \times F_p$, Hermitian lattices, and corresponding theta functions.  
Advances in Coding Theory and Cryptology, vol 3. (2007), pg. 70-80.

17.
Shaska, T.  Subvarieties of the hyperelliptic moduli determined by prescribed group actions, Serdica Math. Journal, No. 4,
355-374, 2006.

16.
Sevilla, D.; Shaska, T. The locus of hyperelliptic curves with reduced automorphism group $A_5$, Appl. Algebra Engrg. Comm.
Comput.
, vol. 18, Nr. 1-2, 2007, pg. 3-20.  

15.
Gutierrez, J.; Sevilla, D.; Shaska, T.  Hyperelliptic curves of genus 3 and their automorphisms,  Lect. Notes Comp., vol 13.
(2005), 109--123.

14.
Bialostocki, A.; Shaska, T.  Galois group of prime degree polynomials with nonreal roots,  Lect. Notes in Computing, 13, 2005,
243--255.

13.
Shaska, T, Genus 2 curves covering elliptic curves, a computational approach, Lect. Notes in Comp, vol 13. (2005),  151-195.

12.
Gutierrez, J.; Shaska, T.  Hyperelliptic curves with extra involutions, LMS J. of Comp. Math.,  8,  (2005), 102-115.

11.
Krishnamoorthy, V.; Shaska, T.; Voelklein, H.  Invariants of binary forms, Dev. in Math., vol 12,  pg.101-122, Springer, 2004.

10.
Shaska, T.; Thompson, J. L. On the generic curve of genus 3, Contemporary. Math.,  vol. 369, pg. 233-244, AMS, 2005.

9.
Shaska, T. Some special families of hyperelliptic curves, J. Algebra Appl., 3 (2004), no. 1, 75--89.

8.
Shaska, T.; Voelklein, H, Elliptic subfields and automorphisms of genus 2 function fields. Algebra, arithmetic and geometry with
applications
(West Lafayette, IN, 2000),703--723, Springer, Berlin, 2004.

7.
 Shaska, T.  Genus 2 fields with degree 3 elliptic subfields, Forum Math. 16 (2004), no. 2, 263--280.

6.  
Shaska, T. Computational algebra and algebraic curves, ACM, SIGSAM Bulletin, Comm. Comp. Alg.,vol. 37, No. 4,117-124, 2003.

5.  
Shaska, T.  Computational Aspects of Hyperelliptic Curves, Computer mathematics, Lecture Notes Ser. Comput., 10,  248--257,
World Sci. Publishing, River Edge, NJ.

4.
Shaska, T.  Determining the automorphism group of hyperelliptic curves, ISSAC 05, 248--254, ACM, New York, 2003.

3.
Shaska, T.  Genus 2 curves with $(3,3)$-split Jacobian and large automorphism group.  Algorithmic number theory (Sydney,
2002),  205--218, Lecture Notes in Comput. Sci., 2369, Springer, Berlin, 2002.

2.
Magaard, K.;  Shaska,  T.; Shpectorov, S.; Voelklein, H. The locus of curves with prescribed automorphism group, RIMS Kyoto
Series, Communications on Arithmetic Fundamental Groups
, vol. 6, 112--141, 2002.

1.
Shaska, T.  Curves of genus 2 with (n,n)-split Jacobians, Jour. Symb. Comp., vol.31, No.5, pg.  603-  617, 2001.
Surveys and preprints

  • A Maple package for hyperelliptic curves, Proceedings of Maple Conference 2005, Ed. I. Kotsieras, Waterloo, 2005.