Stephen Lovett, Ph.D.
Professor of Mathematics
On Faculty since 2008
- Areas of Expertise
- Professional Affiliations
- Courses Taught
- Selected Publications
Dr. Stephen Lovett joined the faculty of Wheaton College in 2008. He received his PhD from Northeastern University and his specific research and teaching interests include abstract algebra, algebraic geometry, differential geometry, and cryptography. As a result of his positive experience as an undergraduate student at Brown University working on differential geometry e-books, and then a summer internship with the US Department of Defense, Dr. Lovett maintains his own active research program with students.
Dr. Lovett grew up first in Italy and then France where he completed a French Baccalauréat C at the Lycée International de Saint Germain-en-Laye. He and his family enjoy traveling in Europe, Central America, and Africa, including a sabbatical semester teaching in Nairobi, Kenya in 2013.
- Linear algebra
- Abstract algebra
- Algebraic geometry
- Mathematical Cryptography
- Advanced Euclidean
- Differential geometry of curves and surfaces
- Differential geometry of manifolds
- Number Theory
- Mathematical Association of America
- American Mathematical Society
- Association of Christians in Mathematical Science
- Wheaton Passage
- Quantitative Skills
- Finite Mathematics
- Calculus I
- Calculus II
- Linear Algebra
- Discrete Mathematics
- Vector Calculus (Calculus III)
- Differential Equations
- Partial Differential Equations
- Discrete Dynamical Systems
- Abstract Algebra I
- Abstract Algebra II
- Complex Analysis
- Problem Solving (Contest Preparation)
- Elementary Number Theory
- Undergraduate Algebraic Geometry
- Introduction to Topology
- Differential Geometry of Curves and Surfaces
- Research/Mentoring Program (selected topics: Differential geometry of manifolds, Multilinear algebra, Algebraic geometry, Mathematical cryptography, Arithmetic of Elliptic Curves)
- Senior Seminar
When he does research with students, Dr. Lovett often likes to remain flexible and open to student interest. Over the past 10 years, the research topics have primarily come from mathematical cryptography (number theoretic aspects, algebra of nonlinear shift feedback registers, public key algorithms), algebraic geometry, and differential geometry. Resulting articles have been successfully published in The American Mathematical Monthly and Involve.
Dr. Lovett's individual research is at the intersection of algebraic geometry and representation theory. In particular, he studies the algebraic geometry of generalizations of detrimental varieties. In relation to quivers, the detrimental varieties of interest are orbits of the group action acting on a specific representation of the path algebra.
- D. Broaddus, S. Lovett, D. Miller, C. Smith, Seeing Curvature on Specular Surfaces, American Mathematical Monthly, vol. 125, p.291-305 (March 2018). (Collaboration with 3 students)
- Cole, S. Lovett, M. McMillan Generalizations to Pappus’ Centroid Theorem via Stokes’ Theorem, Involve, vol 8, no 5, p. 771-785 (2015). (Collaboration with 2 students)
- N. Bliss, B. Fulan, S. Lovett, J. Sommers, Strong Divisibility, Cyclotomic Polynomials, and Iterated Polynomials, American Mathematical Monthly, June 2013. (Collaboration with 3 students)
- Resolutions of orthogonal and symplectic analogues of determinantal ideals, Journal of Algebra, vol. 311 p. 282-298 (2007).
- Orthogonal and symplectic analogues of determinantal ideals, Journal of Algebra, vol. 291 p.416-456 (2005).