Nicolas Petit

Nicolas Petit is a Lecturer in the Department of Mathematics and Statistics at Loyola University Chicago. He holds a Ph.D. from Dartmouth College (2016), with prior teaching roles at Oberlin College, Oxford College of Emory University, and Boston College. His research focuses on combinatorial knot theory, finite-type invariants, and knot homology theories. He develops Python-based computational tools for knot invariant analysis.

Education

• Ph.D. in Mathematics, Dartmouth College, 2016
• Masters and Undergraduate Degrees in Italy

Research Interests

Dr. Petit specializes in virtual knot theory, particularly finite-type invariants and index polynomials. His work bridges theoretical knot theory with computational methods, leveraging Python for invariant computation. Recent explorations include knot homology theories and pedagogical scholarship in mathematics education.

Publications

His articles focus on affine index polynomials, virtual tangles, and finite-type invariant classification. Themes include topological data analysis, categorification, and symbolic computation in knot theory.

Teaching & Service

With teaching experience across multiple institutions, he emphasizes innovative pedagogy in mathematics. No lab/team affiliations explicitly listed.