Books

Integrability and Related Areas: A recognition of Emma Previato’s work in algebra and geometry

Eds. R. Donagi, T. Shaska

“Previato”

All papers are due on August 30, 2018. For questions or concerns please contact  "shaska AT oakland.edu"

Topics

  • Curves: Theta functions, 14H42
  • Vector bundles on curves and their moduli, 14H60
  • Curves: Relationships with physics, 14H81
  • Abelian varieties: Abelian integrals and differentials, 14K20
  • Infinite dimensional Hamiltonian systems: Relations with algebraic geometry, complex analysis, special functions, 37K20
  • KdV-like equations, 35Q53
  • Elliptic functions and integrals, 33E05
  • Ordinary differential operators: General spectral theory, 34L05
  • Rings of differential operators, 16S32
  • Algebraic coding theory, 11T71
  • Series and lattices of subgroups, 20D30















  • Algebraic Curves and their Applications,  
    Editor Lubjana Beshaj,   Contemporary Math.  American Math. Soc. (2018), to appear

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

    Contemporary Mathematics, Malmendier, Shaska
    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