Academics

Research

I am mostly an algebraic number theorist, but I also enjoy doing research in arithmetic geometry, commutative algebra, combinatorics, field theory and sometimes cryptography. Most of my articles can be found on arXiv.

Publications

(with Ming-eh A. Huang, Yun Yang, Sze Ling Yeo) Quasi-subfield polynomials and the Elliptic Curve Discrete Logarithm Problem, MathCrypt 2018
(with Hui June Zhu) On slopes of L-functions of Z_p-covers over the projective line, January 2017, J. Number Theory, arXiv, journal
(with Daqing Wan), Genus growth in Z_p-towers of function fields, March 2017, Proc. of AMS, arXiv
(with Ming-Deh A. Huang, Yun Yang, Sze Ling Yeo) On the last fall degree of zero-dimensional Weil descent systems, Journal of Symb. Comp., Aug 2017, arXiv, journal
A short proof of a Chebotarev density theorem for function fields, Mathematical Communications, Vol. 22, No. 2, 2017., arXiv, journal
(with Christophe Petit and Ange Messeng) Algebraic approaches for the Elliptic Curve Discrete Logarithm Problem over prime fields., Public-Key Cryptography – PKC 2016. Part II, 3-18, Lecture Notes in Comput. Sci. Volume 9615 (2016), 3-18, Conference, journal
Images of polynomial maps on ample fields, Funct. Approx. Comment. Math. 55 (2016), no. 1, 23–30, arXiv, journal
Deterministically generating Picard groups of hyperelliptic curves over finite fields, J. Number Theory 160 (2016), 739-758, arXiv, journal
(with Ming-Deh A. Huang, Sze Ling Yeo) Last fall degree, HFE, and Weil descent attacks on ECDLP, Advances in cryptology—CRYPTO 2015. Part I, 581–600, Lecture Notes in Comput. Sci., 9 215 (2015), Conference, ePrint , journal
Groups and fields in arithmetic, Universiteit Leiden, PhD thesis, Thesis, Cover, Propositions, Errata
(with Ted Chinburg, Holley Friedlander, Sean Howe, Bhairav Singh, Matthew Stover, Ying Zhang, Paul Ziegler) Presentations for quaternionic S-unit groups, Exp. Math. 24 (2015), no. 2, 175–182., arXiv, journal
Polynomial maps on vectors spaces over a finite field, Finite Fields Appl. B, 31 (2015) 1-7., arXiv, journal
Algebras with only finitely many subalgebras, J. Algebra Appl. 14 (2015), no. 6, 1550086, 19 pp., arXiv, journal
The subset sum problem for finite abelian groups, J. Combin. Theory Ser. A 120 (2013), no. 3, 527-530., 261-286., arXiv, journal
Anisotropy and the integral closure, J. Number Theory 136 (2014), 261-286., arXiv, journal
Anisotropic modules over artinian principal ideal rings, Comm. Algebra 42 (2014), no. 11, 4911-4931., arXiv, journal

Unpublished work

(with René Pannekoek) On the structure of elliptic curves over finite extensions of Q_p with additive reduction, March 2017, arXiv
(with Daqing Wan), On the arithmetic of Z_p-extensions, July 2016, arXiv
(with Sze Ling Yeo) Notes on summation polynomials, April 2015, arXiv
The algebraic theory of valued fields, April 2014, arXiv
Anisotropy and the integral closure, Master thesis, Leiden, May 2010, PDF
Schubert Calculus, Bachelor thesis, Leiden, June 2008, PDF