The following are projects on which I am currently working. Students interested in working on one of these projects should contact me.

• Integral Transforms
  Working with Osman Yürekli and John Maceli, we are studying new identities arising among integral transforms and special functions.
• Canopy Structure of 3-D Fractal Trees
  This project examines the structure of ternary trees branching in 3-dimensional space, focusing on the structure of the endpoints of the branching process; ie, the canopy. This work is part of the IC REU in Computer Science.
• Self-Contact in Asymmetric Planar Fractal Trees
  This project involves determining the conditions under which tip-to-tip self-contact occurs in planar trees with two scaling ratios.
• Newton's Method Dynamics for Real Quartic Polynomials
  In this project, we investigate the dynamical and parameter planes of Newton's Method applied to quartic polynomials with real coefficients.
• Newton's Method and Generalized Fibonacci Sequences
  Limits of the sequence of consecutive terms in generalized Fibonacci sequences are investigated via Newton's Method.
• Transcendental Functions with Two Critical Values
  In this project, parameter spaces for families of transcendental functions is explored.
• Dynamics of the Exponential Sine Family