Graduate Students
H. Kir, Curves of genus 2 and quadratic forms. Ph.D (2024 Fall).
R. Leyland, Isomorphisms of Galois representations of CM elliptic curves. Ph.D. (2020 Fall).
N. Garcia-Fritz, Curves of low genus on surfaces and applications to Diophantine problems. Ph.D. (2015 Fall)
R. Ejouamai, The Tate Conjectures for product and quotient surfaces. Ph.D. (2013 Fall).
A. Muresan, Computing explicit isogenies of elliptic curves over finite fields. MSc.II (2011 Fall).
K.J. Chou, Constructing pairing-friendly algebraic curves of genus 2 with small rho-values. Ph.D. (2011 Summer).
C. Wan, Isomorphisms of Galois representation of elliptic curves over F_p. M.Sc.II (2004 Fall).
S. Mohit, The zeta-function of modular diagonal quotient surfaces. Ph.D. (2002 Spring).
A. VanTuyl, The field of N-torsion points of an elliptic curve over a finite field. M.Sc.II (1997 Fall).
G. Wiesend, G-equivariant Riemann-Roch Theorems. M.Sc. (1995 Spring).
A. Such, Endomorphisms of elliptic curves via p-divisible and formal groups. M. Sc. (1994 Spring).
Undergraduate Student Research Projects
R. Dewji (NSERC Summer Project, 2011): The representation theory of SL_2(Z/NZ) and applications to modular forms
M. Ingle (NSERC Summer Project, 2008): The Galois groups of certain curve covers.
- A new formulation of Netto's argument ... by M. Ingle
P. Heakes, M. El-Jichi (4th year Math & Engineering Project, 2005/2006, co-supervised with F. Alajaji):
PK Cryptography: A runtime performance analysis of RSA, DL and ECC pertaining to smart cards.
C. Franc (NSERC Summer Project, 2005): Determining bases of spaces of modular forms
S. Tang, M. Whittaker (4th year Math & Engineering Project, 2004/2005, co-supervised with F. Alajaji):
An analysis of RSA, DL and ECC methods: Implementation and runtime performance.
T. Herland (4th year Math & Engineering Project, 2003/2004): Digital Signatures.
N. Alexander, J. Tytaneck (NSERC Summer Project, 2003): Cryptography: The Schoof-Elkies algorithm.
- Errata for Schoof's 1985 paper by N. Alexander and J. Tytaneck
M. Carmosini (NSERC Summer Project, 2000): Cryptography: The Schoof algorithm.
A. Durward (4th year Math & Engineering Project, 1999/2000): Techniques in Cryptography.
D. Tie Ten Quee & J. Wan (4th year Math & Engineering Project, 1999/2000): Public Key Encryption Protocols.
D. Stroszka (NSERC Summer Project, 1999): Finite field algorithms.
P Williams (Summer Project, 1990): Algebraic structures.
R. McCann (NSERC Summer Project, 1987): Plotting algebraic curves.