Projects

Current projects:

1.  Well-rounded ideal lattices and applications in coding theory (with Dat Tran, Nam Le, and David Karpuk).

2.  Principal well-rounded ideals of quadratic fields (with Morgan Smith).

3. Ternary forms of supersingular elliptic curves over finite fields, with Tri Nguyen, Hoa-Tien Pham and Thuong Dang.

4.  The geometry of log unit lattices (with Fatemeh Jalalvand and Renate Scheidler).

5. Computing the log unit lattice of a number field (with Randy Yee and Michael Jacobson).

PAST PROJECTS: 

6. Fast arithmetic in the divisor class groups (with Jens Dietrich Bauch and Sumin Leem).

7. Supersingular isogeny graphs in cryptography with a WIN5 group (Sarah Arpin, Mingjie Chen, Kristin Lauter, Kate Stange, and Renate Scheidler).

8. The size function for number fields (with Peng Tian and Amy Feaver).

9. Multivariate cryptography (with Dung H. Duong, Le V. Luyen, and Willy Susilo).

10. Lattice Blind Signatures with Forward Security (with Huy Quoc Le, Dung Hoang Duong, Willy Susilo, Viet Cuong Trinh, Josef Pieprzyk, and Thomas Plantard).

11. Reduced ideals of number fields.