It's always a good idea to keep current with the latest advances in mathematics (and science). Here are four places to get you started:
The Mathematical Intelligencer
Print version in O'Meara Mathematics Library current periodicals area
"This journal publishes articles about mathematics, mathematicians, and the history and culture of mathematics. It presents expository articles on all kinds of mathematics and interdisciplinary trends, and articles that portray the diversity of mathematical communities and mathematical thought."
American Mathematical Monthly (currently abstracts only)
O'Meara Mathematics Library current periodicals
"The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional mathematicians as well as students of mathematics at all collegiate levels."
The ΠΜΕ Journal (limited electronic access)
O'Meara Mathematics Library current periodicals area
"Pi Mu Epsilon is the National Mathematics Honor Society. Founded on May 25, 1914 at Syracuse University, PME currently has over 300 chapters at colleges and universities throughout the United States. The purpose of the Society is to promote scholarly activity in mathematics among the students in academic institutions."
"The world's leading journal of original scientific research, global news, and commentary."