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),

    Contents
    • Preface, L. Beshaj
    • Abelian varieties and  cryptography. Gerhard Frey and Tony Shaska, 
    • Families of elliptic curves with rational torsion points of even order, B. Bekker and Y. Zarhin,
    • Semistable types of hyperelliptic curves, T. Dokchitser, V. Dokchitser, C. Maistret, A. Morgan, 
    • A Family of Nonnormal Double Planes Associated to Hyperelliptic Curves, T. Ford, 
    • Hyperelliptic curves, codes, and Goppa’s conjectureN.Boston and J.Hao, 
    • Bezutians of totally complex binary forms, Shuichi Otake and Tony Shaska
    • Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function, A. Stout,
    • Heights on weighted projective varieties,  T. Shaska,
    • On the distribution of fine points in the moduli space of genus 2 curves, L, Beshaj and S. Guest,
    • An explicit descent of real algebraic varieties, R. Hidalgo, 
    • On the algebraic classification of subgroups of hyperebolic planar crystallographic groups, I. Cortazaar, A. Costa,
    • On regular dessins d’enfants with 4automorphisms and a curve of Wiman , Emilio Bujalance, Marston D.E. Conder, Antonio F. Costa, and Milagros Izquierdo, 
    • On Weighted Projective Space of Binary Octavics, L. Beshaj, M. Polak,  B. Shaska

    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
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