معرفی
Dr. Samantha Allen is an Assistant Professor in the Department of Mathematics and Computer Science at Duquesne University. Previously, she held postdoctoral positions at the University of Georgia (2021-2022) and Dartmouth College (2018-2021) before earning her PhD in Mathematics from Indiana University in 2018 under Charles Livingston.
- PhD: Mathematics, Indiana University
- BS: Mathematics and Computer Science, High Point University
Dr. Allen specializes in low-dimensional topology, particularly knot theory in dimensions 3 and 4. Her work leverages knot invariants from Heegaard Floer theory to analyze knot concordance, unknotting operations, and other knot-theoretic problems. She has developed algebraic methods for knot primality detection and explored nonorientable surfaces bounded by knots.
Her research includes advancements in untwisting numbers, Upsilon torsion functions, and empirical studies linking knot polynomials to causality in spacetimes. Recent publications focus on primality tests for knots, cobordism constraints, and the interplay between Betti numbers and Euler classes in nonorientable surfaces.
At Duquesne University, Dr. Allen teaches courses such as Abstract Algebra, Topology, and Foundations of Higher Mathematics. She has also taught calculus sequences and advanced topics at the University of Georgia, Dartmouth College, and Indiana University.
