Highlights of my current position

I am a Full Professor of Mathematics at the University of Arizona, where I have taught undergraduate and graduate mathematics courses and pursued a diverse, interdisciplinary research program.

Past positions held

• Chief Science Officer, Qbit, LLC/Qbit Corp.
• Senior Research Mathematician, Qbit, LLC.
• Visiting Member, Institute for Advanced Study, Princeton.
• Acting Assistant Professor, University of Washington, Seattle.
• Teaching Associate and Visiting Lecturer, University of California, Berkeley.

Curriculum Vitae

Available as a PDF document.

My Research Interests

• Non-linear dynamics and chaos theory
• Data compression
• Algorithm development
• Software engineering
• Image processing

Teaching

Fall 2009

• Math 362
• Math 577 Lecture 2

Spring 2009

• Math/Stat 571B

Fall 2008

• Math 129 - Section 11 This is a second-semester calculus class, devoted to subjects such as:
  • Integration techniques
  • Numerical approximation of definite integrals
  • Improper integrals
  • Applications of integrals to calculations of areas, volumes and curve lengths
  • Infinite series
  • Power series
• Math 125 - Section 02 This is second-semester calculus class, devoted to subjects such as:
  • Functions
  • Differentiation techniques
  • Integration

Older Courses

Selected Articles and Other Publications

• On the Equichordal Point Problem
• On Lorenz Attractors
• On Lozi Mappings
• On the Proof of Jakobson's Theorem
• On Groebner and Comprehensive Groebner Basis Calculations

Certifications

While working in industry, I obtained certifications as a software engineer from Brainbench and am entitled to displaying these logos:

• C++ Programmer Certification (score in the 94th percentile)
• C Programmer Certification (score in the 97th percentile)

E-Mail

Please use e-mail. If you are a human, you will easily find it below. If you are not, I hope to have delayed contacting me a little bit...

A photo

Software downloads

I developed a number of software packages that can be downloaded from this website.

JOde

JOde, pronounced jay-oh-dee-ee, is a Java applet and desktop application which allows one to interactively analyze systems of differential equations. It was designed to be a convenient aid in teaching differential equations. JOde page has been mirrored at several Universities, including:

• Harvard, a partial mirror geared for teaching systems of 2 differential equations.
• Rutgers, including some modifications and additional examples.
• Johns Hopkins, including some modifications and additional examples.