Large strides have been made in the past decade in the experimental understanding of neutrino masses and mixings, yet the incredible smallness of the neutrinos’ masses remains a theoretical puzzle. Theorists have long postulated that the solution to this puzzle could provide valuable clues to the structure of physics at very high energy scales. The left-right model of particle physics provides an intriguing solution to the puzzle through the so-called “seesaw mechanism.” The talk begins with an analysis of the Higgs sector of the model. A horizontal symmetry is employed in such a way that the symmetry scale can be kept relatively low – of order 10’s of TeV. The end of the talk returns to a phenomenological study of neutrinos in the left-right model.