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.

* Implementing asymptotically fast elliptic curve rational torsion computation algorithms.

* My research is pretty SAGEy

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)

* Example Scripts

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