John Velling

Education:

Ph.D., Stanford University - 1985 (Mathematics, General)

Areas of Expertise:

Geometry (hyperbolic geometry and geometric function theory in particular), complex analysis.

Creative Work

Velling, John and Tim Shortell. Developing mathematical model of network of ideas arising in social discourse. We propose a new way to understand the evolution of a social discourse through the quantitative study of network growth. 2007

Research Activities

Ongoing work with Jorge Salazar of Evora, Portugal, into the ergodic decomposition of the ideal boundary of hyperbolic space by the action of a discrete group of isometries. Aspects include geometry, potential theory and both discrete and continuous dynamical systems. 2008

Velling, John and Ken Stephenson. Attempting to generate concrete examples Cantorial hyperbolic surfaces for study of potential theory and ergodic decomposition of ideal boundary sphere of hyperbolic space. 2008

Hosted Jorge Salazar of Evora, Portugal, on sabbatical. Joint research into the ergodic decomposition of the ideal boundary of hyperbolic space by the action of a discrete group of isometries. Aspects include geometry, potential theory and both discrete and continuous dynamical systems. 2007

Professional Leadership

Member, CUNYMath Committee, designing CUNY-wide mathematics interface and coordinating pedagogical efforts in mathematics across CUNY, 2006-present. (Professional Leadership: Committee Service) 2008

Other Professional Activities

Creating online mathematics package for standard undergraduate curriculum: precalculus, calculus of one variable and multivariable calculus. Current development regarding calculus of one variable. Package includes text, interactive examples, randomly generated practice tools, randomly generated topic practice sessions and online evaluation with computer grading. Already being used in classrooms. 2007-present. 2008