I was a Program in Computing Assistant Adjunct Professor in the Department of Mathematics at UCLA (2007-2011) and am a SAGEvangelist (2005-).
[[Papers | http://sage.math.washington.edu/home/burhanud/papers]]
Deciding whether the p-torsion group of the Q_p-rational points of an elliptic curve is non-trivial. ANTS VI Poster Abstracts. SIGSAM Bulletin, Volume 38, Number 3 September 2004 Issue 149.
Abstract: This note describes an algorithm to decide whether an elliptic curve over Q_p has a non-trivial p-torsion part (# E(Q_p)[p] is not equal to 1) under certain assumptions.
http://sage.math.washington.edu/home/burhanud/papers/burhanuddin.elliptic.curve.p-adic.torsion.pdf
Stuff I have worked/am working/plan to work on wrt to SAGE
* Doctoral dissertation http://www.sagemath.org/files/thesis/burhanuddin-thesis-2007.pdf
* On the reducibility of Hecke polynomials over ZZ http://sage.math.washington.edu/home/burhanud/heckered/heckered.pdf
* Mestre's method of graphs project which started at the MSRI Computing with Modular Forms workshop.
- Check out:
* Implementing asymptotically fast elliptic curve rational torsion computation algorithms.
kurrently kludgey kode http://sage.math.washington.edu/home/burhanud/tor/tor.py.txt
algorithms http://modular.math.washington.edu/home/burhanud/volume.pdf
* My research is pretty SAGEy
Research Statement http://sage.math.washington.edu/home/burhanud/app11/restat11/iftikhar.burhanuddin.restat11.pdf
Old Stuff
* Make wikipage about Talks related to SAGE (plan)
* Editing the SAGE programming guide in time for the release of sage-2.0
* Editing the SAGE reference manual (and build process?) in time for the release of sage-2.0 (plan)
* Wrapping Denis Simon's 2-descent (plan)
* Dekinking some SAGE tab completion kinks (plan)
* SAGE + Parallel, The Problem Book (plan)