75 years of Mathematics of computation : symposium on Celebrating 75 Years of Mathematics of Computation November 1 3 2018 the Institute for Computational and Experimental Research in Mathematics (ICERM) Providence Rhode Island Adaptive low rank approximations for operator equations : accuracy control and computational complexity Markus Bachmayr and Wolfgang Dahmen The Prager Synge theorem in reconstruction based a posteriori error estimation Fleurianne Bertrand and Daniele Boffi Linear and nonlinear fractional elliptic problems Juan Pablo Borthagaray Wenbo Li and Ricardo H. Nochetto Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters Ronald Cools Frances Y. Kuo Dirk Nuyens and Ian H. Sloan Multivariate modeling homogenization and nonlocal effects : mathematical and computational issues Qiang Du Bjorn Engquist and Xiaochuan Tian The Stokes complex : a review of exactly divergence free finite element pairs for incompressible flows Michael Neilan Finite element methods for Maxwells equations Peter Monk and Yangwen Zhang Partial differential equation regularization for supervised machine learning Adam M. Oberman Iterative methods for linear systems of equations : a brief historical journey Yousef Saad The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems Jie Shen and Xiaofeng Yang A class of bound preserving high order schemes : the main ideas and recent developments Chi Wang Shu BDDC domain decomposition algorithms Olof B. Widlund Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields P. Caranay M. Greenberg and R. Scheidler A new ranking function for polynomial selection in the number field sieve Nicolas David and Paul Zimmermann A nilpotent quotient algorithm for finitely presented associative Z algebras and its application to integral group rings Bettina Eick and Tobias Moede A tale of two omegas Michael J. Mossinghoff and Timothy S. Trudgian.