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Current Research Projects:  Professor Denis Blackmore and I will be publishing two papers on a scheme for modeling and analyzing logical circuits.  One paper will discuss the algorithm itself in detail, and the other paper will rigorously analyze the R-S flip-flop circuit using modern Dynamical Systems theory.

Research Interest:   Dynamical Systems (with applications in electricity and magnetism, biology, fluids, economics, and heavenly bodies), Partial Differential Equations, and High Energy Physics.

Papers:

• D. Blackmore, A. Rahman, J. Shah, Discrete dynamical modeling and analysis of the R-S flip-flop circuit, Chaos, Solitons & Fractal, (2009), doi:10.1016/j.chaos.2009.02.032

• A. Rahman, N. Sereno, H. Shang, Benchmarking the Multipass Beam-Breakup Simulation Code BI, OAG-TN-2008-029, (2008).

Talks:

• Hallenbeck Graduate Student Seminar (Fall 2010):  A scheme for modeling and analyzing logical circuits.

Poster Presentations:

• Frontiers in Applied and Computational Mathematics 2010:  A Scheme for Analyzing the Dynamics of Logical Circuits.

• Dana Knox Student Research Showcase, NJIT:  Discrete Dynamical Modeling and Analysis of the R-S flip-flop circuit.

• GSUMC, Monmouth University:  Discrete Dynamical Modeling and Analysis of the R-S flip-flop circuit.

• Frontiers in Applied and Computational Mathematics 2008:  Chaos of the R-S flip-flop circuit.

• NJITED, NJIT:  Chaos of the R-S flip-flop circuit.

Research Internships:

• Lee Teng Particle Accelerator Internship 2008

Experiments:  http://web.njit.edu/~mathclub/DoublePendulum.htm

Podcasts:  http://learningspaces.njit.edu/student/category/topics/math-98