Curriculum Vitae - Santa Clara University

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Scholarship Research grants International Center for Theoretical Physics, 2009 - 2010, 10000 Euros. Fulbright Scholar to Malawi, 2006, $36, 170. National Security Agency’s Standard Grant, 2003 - 2004, $24,740. National Security Agency’s Young Investigators Award, 1999 - 2000, $28,191. National Security Agency’s Young Investigators Award, 1995 - 1996, $28,000. Conference grants National Science Foundation Conference Grant, 2003, $15,000, for Lenstra Treurfeest. National Security Agency Conference Grant, 2003, $9,975, for Lenstra Treurfeest. Number Theory Foundation Conference Grant, 2003, $8,400, for Lenstra Treurfeest. National Security Agency Conference Grant, 1997, $10,000, for West Coast Number Theory Conference. National Security Agency Conference Grant, 1995, $9,956, for West Coast Number Theory Conference. Publications FSS Fisher, T., Schaefer, E.F. and Stoll, M. The yoga of the Cassels Tate pairing, LMS J. Comput. Math., 13, 2010, 451-460. KSS Kachisa, E.J., Schaefer, E.F. and Scott, M. Constructing Brezing-Weng Pairing-Friendly Elliptic Curves Using Elements in the Cyclotomic Field, Pairing 2008, 126-135. PSS Poonen, B., Schaefer, E.F. and Stoll, M. Twists of X(7) and primitive solutions to x 2 + y 3 = z 7 , Duke Mathematical Journal, 137, 2007, 103–158. S8 Schaefer, E.F. Mathematics in Malawi. Nieuw Archief voor Wiskunde, 5/7, 2006, 276– 277. S7 Schaefer, E.F., Teaching immersion in the developing world, Explore, (9), Ignation Center at Santa Clara University, Spring 2006. S6 Schaefer, E.F. Improved implementation of pairing based cryptography, Proceedings of the Southern African Mathematical Sciences Association, 2005. 2
DS Dyer, K. and Schaefer, E.F. Linear cryptanalysis of a 16 step MD5 algorithm over the rationals, Proceedings of the Southern African Mathematical Sciences Association, 2005. S5 Schaefer, E.F. A new proof for the non-degeneracy of the Frey-Rück pairing and a connection to isogenies over the base field. In: Computational aspects of algebraic curves, 1–12, Lecture Notes Ser. Comput., 13, World Sci. Publ. Hackensack, NJ, 2005. SW Schaefer, E.F. and Wetherell, J.L. Comuting the Selmer group of an isogeny between abelian varieties using a further isogeny to a Jacobian. J. Number Theory 115, 2005, 158–175. SS Schaefer, E.F. and Stoll, M. How to do a p-descent on an elliptic curve, Trans. Amer. Math. Soc. 356, 2004, 1209–1231. S4 Schaefer, E.F. When is an integer the product of two and three consecutive integers?, in David F. Hayes and Tatiana Shubin (eds.): Mathematical Adventures for Students and Amateurs, Mathematical Association of America, Washington DC, 2004, 65–71. KlS Kloosterman, R. and Schaefer, E.F. Selmer groups of elliptic curves that can be arbitrarily large, J. Number Theory, 99, 2003, 148–163. MSW Musa, M.A., Schaefer, E.F. and Wedig, S. A simplified AES algorithm and its linear and differential cryptanalyses, Cryptologia, 17, 2003, 148–177. FLSSSW Flynn, E.V., Leprévost, F. Schaefer, E.F. Stein, W.A., Stoll, M. and Wetherell, J.L. Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves, Math. Comp., 70, 2001, 1675–1697. DSS Djabri, Z., Schaefer, E.F. and Smart, N. Computing the p-Selmer group of an elliptic curve, Trans. Amer. Math. Soc., 352 2000, 5583–5597. S4 Schaefer, E.F. Computing a Selmer group of a Jacobian using functions on the curve, Math. Ann., 310, 1998, 447–471. PS Poonen, B. and Schaefer, E.F. Explicit descent for Jacobians of cyclic covers of the projective line, J. Reine Angew. Math., 488, 1997, 141–188. FPS Flynn, E.V., Poonen, B. and Schaefer, E.F. Cycles of quadratic polynomials and rational points on a genus-2 curve, Duke Math. J., 90, 1997, 435–463. S3 Schaefer, E.F. A simplified Data Encryption Standard algorithm, Cryptologia, 20, 1996, 77–84. KS Klassen, M.J. and Schaefer, E.F. Arithmetic and geometry of the curve 1 + y 3 = x 4 , Acta Arith., 74, 1996, 241–257. S2 Schaefer, E.F. Class groups and Selmer groups, J. Number Theory, 56, 1996, 79–114. 3
Page 1: Curriculum Vitae Edward F. Schaefer
Page 5 and 6: Schaefer, E.F., review of Rubin, Ka
Page 7 and 8: Computing the Selmer group of a Jac
Page 9 and 10: When is the product of two consecut
Page 11 and 12: Received Brutocao Family Foundation
Page 13 and 14: Directed senior thesis of Lusungu K

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