Artificial neural networks on graded vector spaces,  arXiv:2407.19031

Machine learning for moduli space of genus two curves and an application to isogeny based cryptography.  arXiv:2403.17250

Dangers 4: Data, Numbers, and Geometry,
London Institute of Mathematics, August 8-9, 2024. 

Recent advances in mathematics and artificial intelligence, Cont. Math., 2024 

Artificial Intelligence  in Mathematics Special Session, AMS Meeting, Milwaukee, April 2024. 

Hybrid AI-Math, Feb. 27-29, 2024, Institute of Mathematics and Statistics, State University of Rio de Janeiro, RJ, Brazil

Weighted varieties over finite fields (in progress)

Weighted height and GIT height (work in progress)

Vojta's conjecture on weighted projective varieties, arXiv:2309.10300

Local and global heights on weighted projective varieties, Houston J. Math. (2024)

Weighted greatest common divisors and weighted heights,
J. Number Theory  213  319--346  (2020)

Computing heights on weighted projective spaces,
Cont. Math. 724  149--160  (2019)

Isogeny based cryptography on Abelian surfaces
(in preparation)

Isogeny based post-quantum cryptography, NATO Advanced Research Workshop, Hebrew University of Jerusalem. 

Frey, Gerhard; Shaska, Tony Curves, Jacobians, and cryptography. Contemp. Math., 724, 279–344, 2019.

Abelian varieties and number theory. Contemporary Mathematics, 767.  2021. 

Advances on superelliptic curves and their applications. NATO ASI: Hyperelliptic Curve Cryptography, Ohrid  2014. 

Algebraic aspects of digital communications. New Challenges in Digital Communications, Vlora 2008. NATO Science for Peace and Security Series D: Information and Communication Security, 24. IOS Press 2009.

Advances in coding theory and cryptography. Series on Coding Theory and Cryptology, 3. World Scientific 

Computing (l,l)-isogenies (in progress) 

On Isogenies Among Certain Abelian Surfaces. Michigan Math. J. 71 (2022), no. 2, 227–269.

Isogenous components of Jacobian surfaces, Eur. J. Math. 6 (2020), no. 4, 1276–1302.

Genus two curves with many elliptic subcovers, Comm. Algebra 44 (2016), no. 10, 4450–4466.

Genus 2 curves with degree 5 elliptic subcovers, Forum Math. 21 (2009), no. 3, 547–566.

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

Genus 2 curves with (3,3)-split Jacobian and large automorphism group.
ANTS 2002,  Lecture Notes in Comput. Sci., 2369, 2002

Curves of genus 2 with (n,n)-decomposable Jacobians, J. Symbolic Comput. 31 (2001), no. 5,603–617.

Curves of genus two covering elliptic curves.
Thesis (Ph.D.)–University of Florida. 2001, ProQuest LLC

Broughton, A.; Shaska, T.; Wootton, A. On automorphisms of algebraic curves. Algebraic curves and their applications, 175–212, Contemp. Math., 724, 2019.

From hyperelliptic to superelliptic curves. Albanian J. Math. 13 (2019), no. 1, 107–200.

Galois group of prime degree polynomials with non-real roots , Lect. Notes in Computing, 13, 2005, 243--255.

Determining the automorphism group of a hyperelliptic curve , ISSAC 05, 248--254, ACM, New York, 2003.

The locus of curves with prescribed automorphism group, Communications in arithmetic fundamental, Sūrikaisekikenkyūsho Kōkyūroku, No. 1267 (2002), 112–141.

Elliptic subfields and automorphisms of genus 2 function fields , Algebra, arithmetic and geometry with applications, 703--723, Springer, 2004.

On the automorphism groups of some AG-codes based on Ca,b  curves.

Codes over Fp2 and Fp×Fp, lattices, and theta functions.

Codes over rings of size four, Hermitian lattices, and corresponding theta functions

On some applications of graphs to cryptography and turbocoding.

On the homogeneous algebraic graphs of large girth and their applications.

Codes over rings of size p2 and lattices over imaginary quadratic fields

Quantum codes from superelliptic curves

Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields. Des. Codes Cryptogr. 76 (2015), no. 2, 217–235.

Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes.

Self-inversive polynomials, curves, and codes