User:Gary Detlefs

I am 75 years old and have a bachelors degree in mathematics and computer science. I was certified to teach secondary mathematics in the state of Michigan but never obtained a real teaching job and ended up spending 24 years as a substitute teacher. I did not develop an interest in mathematics until the age of 40, having studied humanities and the arts in my younger days. I admit that, in comparison to most of the contributors to this site, I am pretty much a "shallow end of the pool" mathematician.

I feel blessed to have had two excellent mentors over the years: Randy Schwartz, former chair of the schoolcraft college mathematics department and Wolfdieter Lang with whom I have worked on a great many projects over the years. I work part time as a musician and run a gardening service in the summer. I am a huge history buff and art collector, in addition to being a historic home preservationist and certified antique furniture whore.

In so many ways, tech has always been a challenge for me. The development of this page is an example of this. eventually I would like to have links to the various papers I have written.

Topics of interest

1. Fibonacci sequence 2. Fibonacci with a bump: 3. Horadam sequences 4. Signature modifications 5. recurrence reduction 6. canonical forms 7. binomial identities 8. rough numbers 9. primality criteria 10. Properties of the triangle 11. periodic sequences 12. nested sums of powers 13. Natural Series 14. Second order Inhomogeneous index 15. Harmonic numbers and the Zeta function 16. Bitwise operations 17. Binary tree balancing and traversal 18. Khovanski and matrix exponentiation to limits 19. Erdos Strauss conjecture 20. Collatz conjecture