Doug Knowles

Doug Knowles is a Lecturer in the Department of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He holds a Ph.D. from Dartmouth College (2021). His research focuses on Low-Dimensional Topology, Contact Geometry, and Bordered Floer Homology. Knowles is actively involved in undergraduate education, teaching foundational mathematics courses and supporting quantitative skill development through academic support programs.

Education:
Ph.D. in Mathematics, Dartmouth College (2021)

Research Interests:
Knowles explores advanced geometric topology topics, emphasizing Bordered Floer Homology—a tool for studying 3-manifolds and their invariants. His work bridges theoretical mathematics with pedagogical innovation, particularly in curriculum design for calculus preparation and quantitative reasoning.

Teaching Responsibilities:
Courses include academic support for calculus (MATH 1006, MATH 1011), pre-calculus preparation (MATH 1101), and summer quantitative methods programs (MATH 1002, MATH 1003). These roles reflect his commitment to student success in mathematics education.

Awards & Grants:
No specific awards or grants are listed in the provided text.

Labs/Teams:
No affiliated labs or research teams are explicitly mentioned, though his involvement in undergraduate research programs like REU and SPUR suggests potential collaborative work in topology education.