# Books

### Algebraic Curves and their Applications,

Algebraic Curves and their Applications,

Editors: L. Beshaj, T. Shaska, Contemporary Math. American Math. Soc. (2019), vol. 724.

**Contents**

- B. Bekker and Y. Zarhin, Families of elliptic curves with rational torsion points of even order
- L, Beshaj and S. Guest, The weighted moduli space of binary sextics
- T. Ford, A family of nonnormal double planes associated to hyperelliptic curves
- S. Otake and T. Shaska On the discriminant of a certain quadrinomials
- T. Dokchitser, V. Dokchitser, C. Maistret, A. Morgan, Semistable types of hyperelliptic curves
- A. Stout, Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function
- J. Mandili and T. Shaska, Computation of heights on weighted projective varieties
- L. Beshaj, M. Polak, On hyperelliptic curves of genus 3
- A. Broughton, T. Shaska, A. Wooton, On automorphisms of algebraic curves
- I. Cortazaar, A. Costa, On the algebraic classification of subgroups of hyperebolic planar crystallographic groups
- Emilio Bujalance, Marston D.E. Conder, Antonio F. Costa, and Milagros Izquierdo, On regular dessins d’enfants with 4g automorphisms and a curve of Wiman
- R. Hidalgo, An explicit descent of real algebraic varieties
- E. Previato, Curves in isomonodromy and isospectral deformations: Painlev ́e VI as a case study
- N.Boston and J.Hao, Quasi-quadratic residue codes and hyperelliptic curves
- G. Frey and T. Shaska, Curves, Jacobians, and cryptography.

**Higher genus curves in mathematical physics and arithmetic geometry, **Eds A. Malmendier, T. Shaska, Contemporary Math. American Math. Soc. vol. 703, (2018), xii+359 pp.**Contents**

- A Lower Bound for the Number of Finitely Maximal $C_p$-Actions on a Compact Oriented Surface, J. Russell, A. Wootton
- Galois action on regular dessins d'enfant with simple group action, S. Allen Broughton
- Equations of Riemann surfaces with automorphisms, D. Swinarski
- On the field of moduli of superelliptic curves, R. Hidalgo, T. Shaska
- Minimal integral Weierstrass equations for genus 2 curves, L. Beshaj
- Rational points in the moduli space of genus two, L. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, T. Shaska
- Strong arithmetic mirror symmetry and toric isogenies, C. Magyar, U. Whitcher
- Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited, A. Kumar, M. Kuwata
- Higher-order Weierstrass weights of branch points on superelliptic curves, C. Shor
- Poncelet's Porism and Projective Fibrations, E. Previato
- Extending Runge's method for integral points, A. Levin
- Self-inversive polynomials, curves, and codes, D. Joyner, T. Shaska
- Syzygy divisors on Hurwitz spaces, A. Deopurkar, A. Patel

**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. xii+375 pp.**Contents**

- Preface L. Beshaj, T. Shaska, E. Zhupa
- The case for superelliptic curves L. Beshaj, T. Shaska, E. Zhupa
- Weierstrass points of superelliptic curves T. Shaska, C. Shor
- Theta functions for superelliptic curves L. Beshaj, A. Elezi, T. Shaska
- Cyclic curves over the reals M. Izquierdo, T. Shaska
- Reduction of binary forms L. Beshaj
- Sato-Tate groups of genus 2 curves K. Kedlaya
- Heights of algebraic curves L. Beshaj, T. Shaska
- Descent and Covering Collections M. Stoll
- Chabauty and the Mordell–Weil Sieve S. Siksek
- Rational points on Jacobians of hyperelliptic curves S. Müller
- Explicit p-adic methods for elliptic and hyperelliptic curves, J. Balakrishnan
- Error Correcting Quantum Codes and Algebraic Curves , A. Elezi
- Graph based cubical multivariate maps and their cryptographical applications, M. Klisowski, V. Ustimenko
- Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes, A. Elezi, T. Shaska
- Galois geometries, codes, and new invariants for incidence structures, V. Tonchev