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Dimitar Jetchev
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office(s):
INJ331
phone(s): [+41 21 69] 36866
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BIOGRAPHY
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I am currently a post-doc at the Laboratory for Cryptologic Algorithms, LACAL in EPFL. I completed my PhD in number theory and arithmetic geometry at the University of California, Berkeley in 2008 under the supervision of Prof. Ken Ribet.
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EDUCATION
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University of California at Berkeley, Ph.D., M.A. in mathematics, May 2008
Ph.D. Thesis: Heegner Points, Component groups, Kolyvagin systems and Selmer groups
Advisor: Prof. Kenneth A. Ribet
Harvard University, B.A. in mathematics, June 2004
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RESEARCH INTERESTS
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Elliptic curves, Selmer groups, Euler systems, special points, equidistribution, analytic and ergodic methods, mathematical foundations of cryptology, ECC, symmetric key cryptography, complexity analysis of cryptologic algorithms
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MAIN PUBLICATIONS
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New Upper Bounds on the Order of the Shafarevich-Tate Group For Elliptic Curves Over Imaginary Quadratic Fields, D. Jetchev, a talk given on November 19th, 2010 at the number theory seminar in ETH Zurich
Selmer Groups of Elliptic Curves of Analytic Rank Zero, the Kato Euler System and Rational Points on Genus One Curves, D. Jetchev, a talk given on November 5th, 2010 at the number theory seminar in EPFL
Random Self-Reducibility and Security of DH Bits for Elliptic Curves, D. Jetchev, a talk given on October 6th, 2010 at the Cryptography and Coding Theory joint seminar between University of Zurich and University of Basel
Selmer Groups of Elliptic Curves of Analytic Rank Zero and Rational Points on Genus One Curves, D. Jetchev, in preparation
Effective Non-triviality of Heegner Points in the Anticyclotomic Zp extensions, D. Jetchev, Ph. Michel, in preparation
Generalized Liftings of Reduction Maps for Quaternion Algebras, C. Cornut, D. Jetchev, preprint
Equidistribution of Heegner points and ternary quadratic forms, D. Jetchev, B. Kane, to appear in Math. Annalen, (2010)
Explicit Heegner Points: Kolyvagin's Conjecture and Non-trivial Elements in the Shafarevich-Tate Group, D. Jetchev, K. Lauter, W. Stein, J. of Number Theory, Vol. 129, Issue 2, (2009), pp. 284-302
Global Divisibility of Heegner Points and Tamagawa Numbers, D. Jetchev, Compositio Math., Vol. 144, Issue 04, (2008), pp. 811-826
Bit Security of the Elliptic Curve Diffie-Hellman Secret Keys, D. Jetchev, R. Venkatesan, Advances in Cryptology, CRYPTO 2008, LNCS, (2008), Vol. 5157/2008, 75-92
Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate Group, K. Eisentraeger, D. Jetchev, K. Lauter, Pairing-based Cryptography, PAIRING 2008,
LNCS, (2008), Vol. 5209/2008, 113-125
On the Bits of Elliptic Curve Diffie-Hellman Keys, D. Jao, D. Jetchev, R. Venkatesan, Progress in Cryptology, INDOCRYPT 2007,
LNCS, (2007), Vol. 4859/2007, 33-47
Visibility of the Shafarevich-Tate Group at Higher Level, D. Jetchev, W. Stein, Documenta Math. 12, (2007), 673--696
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| Skills |
| number theory, mathematical cryptology |
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| Teaching |
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This semester I am teaching, together with Prof. Arjen Lenstra, the graduate level course "Advanced Topics in Cryptology". You can find information about the course here.
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