David Terr's Website



“Fibonacci Expansions and ‘F-adic’ integers,” The Fibonacci Quarterly, v. 34, 1996

“On the Sums of Digits of Fibonacci Numbers,” The Fibonacci Quarterly, v. 35, 1996..

A Modification of Shanks’ Baby-Step Giant-Step Algorithm,” Mathematics of Computation, v. 69, 2000

Here's a copy of my resume

The Standard Model

The Standard Model of particle interactions is a theory developed from 1970 to 1973 which explains everything that is currently known about particle physics. It includes the electroweak theory, quantum chromodynamics, and special relativity. The only thing left out of the model is gravity. It is a hugely successful theory in that all its predictions have been experimentally verified to amazing accuracy. Nevertheless, most physicists are not happy with it for several reasons, including its 19 free parameters (physical constants whose values need to be put in by hand), its lack of elegance and simplicity, and the absence of gravity. The consensus is that there's a bigger theory which includes gravity and with no free parameters. This would be a unified field theory, or a theory of everything. Although physicists since Einstein in the 1920s have been searching for a unified field theory, they have not succeeded yet, though there is some hope that they will soon.

Particles in the Standard Model
The particles in the standard model include fermions and bosons. Fermions are particles with half-integer spin (1/2, 3/2, etc.). These particles obey the Pauli Exclusion Principle and may be regarded at particles of matter. On the other hand, bosons are particles with integer spin (0, 1, 2, etc.), which are the force carrying particles. Fermions are further divided into quarks and leptons. There are three families of quarks and leptons. The first family of quarks consists of down and up quarks, the second family strange and charmed quarks, and the third family bottom and top quarks. Quarks are further subdivided into three colors, red, green, and blue, and their antiparticles into the colors antired, antigreen, and antiblue. The leptons in the standard model are the electron, the electron neutrino, the muon, the muon neutrino, the tauon, the tauon neutrino, and all their antiparticles. The bosons include the photon, which carries the electromagnetic force, the W+, W- and Z0 particles, which carry the electroweak force, eight gluons, which carry the strong nuclear or color force, and the as yet undiscovered Higgs boson, which is responsible for symmetry breaking. In all, there are a total of 61 particles in the standard model.