Dr. Lane teaches a wide variety of mathematics courses ranging from introductory level for non-majors to senior courses in real and complex analysis. He has designed and pioneered new courses for both general education students and mathematics majors. Dr. Lane often utilizes the flipped classroom model, in which he has generated numerous full lesson-based videos to maximize student learning and achievement. His approach to teaching encourages students to bring their existing knowledge into the classroom and build on that knowledge consistently.
Dr. Lane’s research focuses on the combinatorics on words, specifically the concept of avoiding certain types of patterns on strings of symbols. He also mentors numerous undergraduate students conducting research projects on topics in graph theory.