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1. Schoof, Rene - Università di Roma “Tor Vergata”. Algebraic number theory, arithmetic geometry. Papers, preprints, lecture notes, resources, tables.
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2. Sharifi, Romyar - McMaster University. Algebraic Number Theory and Arithmetic Algebraic Geometry. Publications, slides, thesis.
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3. Shiu, Peter - Loughborough University. Elementary, analytic and computational number theory. Publications.
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4. Silverberg, Alice - University of California at Irvine. Arithmetic algebraic geometry, applications. Publications, slides, photographs, dances.
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5. Sinisalo, Matti K. - GeraCap Ltd. Algorithms in number theory, Computer algebra. Publications.
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6. Sofer, Adriana - University of Texas at Austin. Contact and teaching information.
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7. Sohn, Jaebum - Yonsei University, Seoul. Classical number theory and special functions.
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8. Srinivasan , Anitha - IIT Bombay. Contact information.
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9. Stewart, Cameron L. - University of Waterloo. Number theory. Publications, preprints, lecture notes.
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10. Stoll, Michael - International University Bremen. Arithmetic Geometry; Combinatorics; Mathematical Biology; Group Theory; Galois Theory. Publications, notes, MAGMA code, tables of genus-2 curves.
11. Sairaiji, Fumio - Hiroshima International University. Formal groups, Q-curves. Publications.
12. Scheidler, Renate - University of Calgary. Algorithms for computing invariants of number fields and function fields.
13. Schmidt, Alexander - Universität Regensburg. Algebraic Number Theory, Higher dimensional class field theory, Iwasawa-theory; Algebraic Geometry, A1-homotopy theory, Motivic (co)homology. Publications.
14. Schmitt, Susanne - Max-Planck-Institut für Informatik. Effective computational geometry, separation bounds; Computer algebra; Algebraic number theory, elliptic curves. Publications.
15. Scholl, Anthony J. - University of Cambridge. Number theory, arithmetic algebraic geometry, modular forms. Preprints, notes.
16. 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.
17. Shlapentokh, Alexandra - East Carolina University. Diophantine decidability. Publications.
18. Shonhiwa, Temba - University of Zimbabwe. Number theory, combinatorics, algebra.
19. Shorey, T. N. - Tata Institute for Fundamental Research. Transcendence, Diophantine equations. Publications.
20. Siligardos, Giorgos - University of Crete. Number theory; technical analysis.
21. Snaith, Nina - University of Bristol. Random matrix theory and zeta and L-functions. Offers publications and research projects.
22. Somodi, Marius - University of Northern Iowa. Witt equivalence of algebraic number fields.
23. Sun, Zhi-Wei - Nanjing University. Number theory (especially combinatorial number theory); Combinatorics; Group theory; Mathematical logic. Papers and lectures.
24. Swinnerton-Dyer, Sir Peter - University of Cambridge. FRS. Lecture notes.
25. Szalay, László - University of West Hungary. Diophantine equations.

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