About me

I am currently a postdoc in mathematics at Dartmouth College. My research interests lie in the field of low-dimensional topology. In particular, I am interested in knot theory in dimensions 3 and 4.

Before coming to Dartmouth, I completed my PhD in mathematics at Indiana University advised by Charles Livingston.

Click here to view my CV.


Concordances from differences of torus knots to L-space knots. arXiv.

Using secondary Upsilon invariants to rule out stable equivalence of knot complexes. arXiv. Submitted for publication.


If you are a student looking for information on a class I am currently teaching, please check Canvas or the course webpage or send me an email.

During the fall term, I will be teaching two courses at Dartmouth College:

At Indiana University, I taught a variety of courses:

Recent Professional Development

Attended the Workshop in Geometric Topology at Calvin College (June 2018, Grand Rapids, MI).

Attended the Joint Mathematics Meetings of the AMS and MAA (January 2018, San Diego, CA).

Attended the UCLA Topology Conference 2018 (January 2018, Los Angeles, CA).

Attended the Banff workshop on Thirty Years of Floer Theory for 3-Manifolds. (July/August 2017, Oaxaca, Mexico)


Nonorientable surfaces bounded by knots, Special Session on Algebraic, Combinatoric, and Quantum Invariants of Knots and Manifolds, AMS Sectional Meeting, March 2018, Columbus, OH.

The nonorientable four-genus of knots, University of Virginia Geometry Seminar, February 2018, Charlottesville, VA.

The nonorientable four-genus of knots, University of Oregon Topology Seminar, January 2018, Eugene, OR.

Nonorientable surfaces bounded by knots, Graduate Student Topology and Geometry Conference, April 2017, East Lansing, MI.

Contact details

My email address is samantha.g.allen [𝔞𝔱] dartmouth [𝔡𝔬𝔱] edu.

© 2018 Samantha Allen
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