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

Timeline of Particle Physics

500s BC
Greek philosophers including Leucippus, Democritus and Epicurius assert that matter is composed of indivisible particles called atoms.

John Dalton proposes his theory that matter is made of atoms in order to explain the law of multiple proportions of chemical combinations.

Henri Becquerel discovers that uranium is radioactive. Later he, Ernest Rutherford, and Marie and Pierre Curie continue to investigate radioactivity and identify three types of particles emitted by nuclei: alpha particles, beta particles, and gamma rays. Alpha particles are later determined to be helium nuclei, beta particles fast-moving electrons, and gamma rays high energy photons.

J.J. Thompson discovers the electron and proposes that atoms are composed of electrons and protons.

Albert Einstein postulates the existence of photons, particles of light, in order to explain the photoelectric effect.

Ernest Rutheford discovers the atomic nucleus, still believed to be composed of electrons and protons.

Paul Dirac predicts the existence of the positron, the antiparticle of the electron.

Wolfgang Pauli predicts the existence of the neutrino in order to allow for energy conservation in beta decay.

Carl D. Anderson discovers the positron.

James Chadwick discovers the neutron.

Hideki Yukawa postulates the existence of the meson (later to be named the pi meson or pion), in order to explain the strong nuclear force, which binds protons and neutrons together inside the nuclei of atoms.

Carl D. Anderson discovers the muon, a particle identical to the electron except for its mass, which is about 200 times the mass of the electron.

A plethora of "elementary" particles are discovered, mostly hadrons (baryons and mesons). High-energy physicists have trouble making sense of the particle zoo.

Clyde Cowan, Frederick Reines, F. B. Harrison, H. W. Kruse, and A. D. McGuire discover the neutrino. Reines is later awarded the 1995 Nobel Prize for his discovery.

Chen Ning Yan and Tsung-Dao Lee discover parity violation by studying the radioactive decay of cobalt-60.

Murray Gell-Man and Kasuhiko Nishijima independently develop a quark model to explain the plethora of hadrons.

Peter Higgs postulates the existence of a particle, which later becomes known as the Higgs Boson, responsible for providing mass to otherwise massless particles like the photon through symmetry breaking. The Higgs Boson is the only particle in the Standard Model which is yet to be discovered as of 2007.

James Cronin and Val Fitch discover CP-violation, whereby the previously-believed symmetry resulting by simultaneously reversing charge and handedness (parity) is violated by certain particle interactions. Cronin and Fitch later receive the 1980 Nobel Prize for their discovery. CPT, whereby charge, parity, and time are all reversed, is still believed to be an exact symmetry.

Steven Weinberg, Sheldon Glashow, and Abdus Salam independently create the electroweak theory, which unites the apparently different electromagnetic and weak nuclear forces into a single "electroweak" force. Among other things, their theory predicts the existence of W and Z bosons, heavy carriers of the weak force.

The first incarnation of string theory is proposed in order to explain properties of the strong force. This approach is abandoned in 1974 in favor of quantum chromodynamics (QCD).

A group of particle physicists propose the standard model, which incorporates everything that is currently known about particle interactions involving all forces except gravity.

John Schwartz and Joel Scherk and independently Tamaiki Yonaya resurrect string theory in the form of bosonic string theory when they realize that it predicts the existence of the graviton. This strange theory is largely dismissed, however, because it predicts 26 dimensions, no fermions, and particles which travel faster than light, known as tachyons.

A group of high-energy physicist at CERN discover W and Z bosons.

String theory makes a big comeback, known as the first superstring revolution, once it is realized that it is a candidate for a unified field theory, a theory capable in principle of explaining all natural phenomena. Hundreds of physicists jump on the bandwagon. According to string theory, the fundamental building blocks of matter and energy are not particles but tiny vibrating open and closed strings, one-dimensional objects. The modes of vibration determine the type of particle being observed. By 1986, physicists become disillusioned with string theory once again when they realize that there are five viable theories of strings. Furthermore, string theory has proven incapable of making any experimentally verifiable predictions, which is still the case as of 2007.

Edward Witten proposes M-theory, a generalization of string theory in which the fundamental objects are manifolds known as p-branes with dimensions from 1 to 10. The five previously formulated versions of string theory all turn out to be low-energy approximations to M-theory, which now includes all these theories. This initiates the second superstring revolution.

Researchers at the Tevatron accelerator at Fermilab discover the top quark, the heaviest of the six quarks.

High-energy physicists working at the Super-Kamiokande neutrino detector determine that neutrinos have a tiny nonzero rest mass.