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    Scheidler, Renate Scheidler, Renate - University of Calgary. Algorithms for computing invariants of number fields and function fields.
    Schmidt, Alexander Schmidt, Alexander - Universität Regensburg. Algebraic Number Theory, Higher dimensional class field theory, Iwasawa-theory; Algebraic Geometry, A1-homotopy theory, Motivic (co)homology. Publications.
    Schmitt, Susanne Schmitt, Susanne - Max-Planck-Institut für Informatik. Effective computational geometry, separation bounds; Computer algebra; Algebraic number theory, elliptic curves. Publications.
    Scholl, Anthony J. Scholl, Anthony J. - University of Cambridge. Number theory, arithmetic algebraic geometry, modular forms. Preprints, notes.
    Schoof, Rene Schoof, Rene - Università di Roma “Tor Vergata”. Algebraic number theory, arithmetic geometry. Papers, preprints, lecture notes, resources, tables.
    Shallit, Jeffrey O. Shallit, Jeffrey O. - University of Waterloo. Algorithmic number theory (primality testing, and factoring), formal languages and automata theory (especially connections with number theory), history of mathematics and computer science, ethical use of computers.
    Sharifi, Romyar Sharifi, Romyar - McMaster University. Algebraic Number Theory and Arithmetic Algebraic Geometry. Publications, slides, thesis.
    Shlapentokh, Alexandra Shlapentokh, Alexandra - East Carolina University. Diophantine decidability. Publications.
    Shorey, T. N. Shorey, T. N. - Tata Institute for Fundamental Research. Transcendence, Diophantine equations. Publications.
    Siligardos, Giorgos Siligardos, Giorgos - University of Crete. Number theory; technical analysis.
    Silverberg, Alice Silverberg, Alice - University of California at Irvine. Arithmetic algebraic geometry, applications. Publications, slides, photographs, dances.
    Sinisalo, Matti K. Sinisalo, Matti K. - GeraCap Ltd. Algorithms in number theory, Computer algebra. Publications.
    Smyth, Chris Smyth, Chris - Edinburgh University. Algebraic number theory, especially algebraic integers which are constrained in some way; algorithmic aspects of algebraic curves; combinatorial aspects of network design. Recent publications.
    Snaith, Nina Snaith, Nina - University of Bristol. Random matrix theory and zeta and L-functions. Offers publications and research projects.
    Sofer, Adriana Sofer, Adriana - University of Texas at Austin. Contact and teaching information.
    Srinivasan , Anitha Srinivasan , Anitha - IIT Bombay. Contact information.
    Stewart, Cameron L. Stewart, Cameron L. - University of Waterloo. Number theory. Publications, preprints, lecture notes.
    Stoll, Michael Stoll, Michael - International University Bremen. Arithmetic Geometry; Combinatorics; Mathematical Biology; Group Theory; Galois Theory. Publications, notes, MAGMA code, tables of genus-2 curves.
    Sun, Zhi-Wei Sun, Zhi-Wei - Nanjing University. Number and group theory, combinatorics and mathematical logic. Includes papers and lectures.
    Swinnerton-Dyer, Sir Peter Swinnerton-Dyer, Sir Peter - University of Cambridge. FRS. Lecture notes.
    Szalay, László Szalay, László - University of West Hungary. Diophantine equations.
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