Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Andreas Malmendier, Utah State University, Logan, UT.Tony Shaska, Oakland University, Rochester, MI.

• J. Russell and A. Wootton, A lower bound for the number of finitely maximal $C_p$-actions on a compact oriented surfaceS. A. Broughton, Galois action on regular dessins d'enfant with simple group actionD. Swinarski, Equations of Riemann surfaces with automorphismsR. Hidalgo and T. Shaska, On the field of moduli of superelliptic curvesL. Beshaj, Minimal integral Weierstrass equations for genus 2 curvesL. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, and T. Shaska, Rational points in the moduli space of genus twoC. Magyar and U. Whitcher, Strong arithmetic mirror symmetry and toric isogeniesA. Kumar and M. Kuwata, Inose's construction and elliptic $K$3 surfaces with Mordell-Weil rank 15 revisitedC. M. Shor, Higher-order Weierstrass weights of branch points on superelliptic curvesE. Previato, Poncelet's porism and projective fibrationsA. Levin, Extending Runge's method for integral pointsD. Joyner and T. Shaska, Self-inversive polynomials, curves, and codesA. Deopurkar and A. Patel, Syzygy divisors on Hurwitz spaces.