Major in Mathematics!
A mathematics degree from New Paltz accommodates both applied and theoretical interests, and provides exceptional preparation for future careers in law, medicine, education, insurance, and business.
Our small class sizes enable students to work closely with faculty and receive the personal attention that only a liberal arts education can offer. Recent research projects have included angular determinations in pentagons; software development for algebraic evolution; and modeling the success of protest groups, to name a few.
With major tracks in mathematics, adolescence education in mathematics, and elementary education in mathematics, our graduates go on to attend Ph.D. programs, work as financial analysts on Wall Street, secure positions at high-level companies like Microsoft, and teach mathematics in both public schools and the country's most prestigious universities.
This summer, math majors Simon Li and Finley Hartley were part of the XXXV Workshop on Geometric Methods in Physics and Summer School (http://wgmp.uwb.edu.pl/wgmp35/). The conference and follow-up summer school were held in Bialowieza, Poland, one of the major meeting venues for researchers in Mathematical Physics and Differential Geometry. Simon Li has been working with Dr. Ekaterina Shemyakova for two semesters on a research project and has been presenting his results at various conference poster sessions among PhD students and postdocs from all over the world. Finley Hartley has just begun working on a related project and enjoyed being a participant this year.
The trip was sponsored by the National Science Foundation.
Math & Cookies:
Friday, December 9, noon - 1:00 p.m. Location:
Speaker: Gerald A. Golding, Rutgers University
Title: Electromagnetic Waves and the Quantum Wave Function: Linear or Nonlinear?
Abstract: Wave motion is everywhere in nature - water waves, vibrations in strings and surfaces, sound waves, electromagnetic waves and at the submicroscopic level, the still-mysterious wave functions that describe the behavior of quantum particles. Mathematically, wave motion is described by solutions to a class of partial differential equations called wave equations. Many wave equations are linear, which means that the superposition of two solutions is again a solution. But in almost all real physical situations, linearity is an approximation that eventually breaks down. Sometimes nonlinear wave equations provide better descriptions, describing or predicting new phenomena. The exception to this is quantum mechanics, with wave functions obeying Schrödinger’s famous equation. Here linearity is taken to be absolutely exact - indeed, a basic axiom of the theory. In this non-technical seminar, I will explore briefly some aspects of linearity and nonlinearity in electromagnetism and quantum theory. These are domain of my ongoing research - including the question of whether linearity in quantum mechanics should remain a fundamental assumption.