Publications

(Preprints)

26) Classification of certain maximal curves,   in progress.

25) Weierstrass semigroups in an asymptotically optimal tower of function fields, (with F. Torres and G. Brito)

(2023)
 

23) Maximal curves and Tate-Shafarevich results for quartic and sextic twistis. (with S. Bootsma, and J. TOP),

FINITE FIELDS AND THEIR APPLICATIONS, v. 91, p. 102256, 2023.

(2022)

22) The a-number of maximal curves of third largest genus (with V. Nouruzi).
AUT Journal of Mathematics and Computing, v. 3, p. 11-16, 2022.
 
21)  Hankel Edge Ideals of Trees and (Semi-)Hamiltonian Graphs (withD. Kiani and S. S. Madani)
Bulletin of the Malaysian Mathematical Sciences Society, v. 45, p. 2493-2507, 2022.
 
20) The a-Number of Certain Hyperelliptic Curves (with V. Nouruzi and F. Rahmati),
Iranian Journal of Science and Technology Transaction A-Science, v. 46, p. 1235-1239, 2022.

(2021)

19) The curve $y^n=x^ℓ(x^m+1)$ over finite fields II (with F. Torres),
Advances in Geometry, v. 21, p. 385-390, 2021.

18) The $a$-numebr of  Jacobian of  certain maximal curves, (with V. Nouruzi),

Transactions On Combinatorics, v. 10, . 121-128, 2021.

 ( 2019 )

17) On certain maximal hyperelliptic curves related to Chebyshev polynomials (with J.Top),

 J. Number Theory,  v. 203, p. 276-293, 2019

16) On the curve yn = xm(x+1) over finite fields (with F. Torres),

Advances in Geometry, 19  (2019), 263-268.

15) On the Ree curve (with F. Torres),

J. Pure Appl. Algebra, 223, (2019),  3831-3843.

 ( 2018 )

14) On maximal curves related to Chebyshev polynomials (with F. Torres and A. Kzemifard),
 Finite Fields Appl., 52 (2018), 200-213.

13) The genus of maximal curves over small fields, (with F. Torres and N. Arakelian), 

Advances in Mathematics of Communications, 12, (2018), 143-149.

( 2017 ) 

12) A note on certain maximal curves (with F. Torres),

Communications in Algebra 45, (2017), 764-773.

 ( 2016 ) 

11) Further examples of maximal curves which cannot be covered by the Hermitian curve (with F. Torres and A. Teheran),

J. Pure Appl. Algebra, (2015), 1122-1132.

 ( 2015 ) 

10) A note on some Picard curves over finite fields (with A. Kazemifard),

Finite Fields Appl. 34 (2015), 107-122.

 ( 2014 ) 

9) On the curve yn = xm + x over a finite field (with F. Torres),

J. Number Theory, 145 (2014), 51-66.

( 2013 ) 

8) On maximal curves of Fermat type (with F. Torres),

Advances in Geometry, 13 (2013), 613-617.

7) A note on superspecial and maximal curves (with A. Kazemifard and A. R. Naghipour),

Bull. Iran. Math. Soc., 39, (2013), 405-413.

( 2012 )

6) A note on certain maximal hyperelliptic curves,

Finite Fields Appl. 18 (2012), 1013–1016.

5) A family of maximal hyperelliptic curves,

J. Pure Appl. Algebra, 216 (2012), 1528–1532.

 ( 2011 )

4) Covered by lines and conic connected varieties (with S. Marchesi and A. Massarenti),

Le Matematiche, 66 (2011), 137–151.

 ( 2010 )

3) A characterization of maximal and minimal Fermat curves,

Finite Fields Appl. 16 (2010), 1–3.

 ( 2008 )

2) Certain maximal curves and Cartier operator (with A. Garcia),

Acta Arith. 135 (2008), 199–218.

1) Some additive polynomials and certain maximal curves (with A. Garcia),

J. Pure Appl. Algebra, 212 (2008), 2513–2521.