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.

Publications

Nonorientable surfaces bounded by knots: a geography problem. Submitted for publication. arXiv.

Unknotting with a single twist. Joint with Charles Livingston. Submitted for publication. arXiv.

Concordances from differences of torus knots to L-space knots.
Proc. Amer. Math. Soc. 148 (2020), no.4, 1815-1827. arXiv.

Using secondary Upsilon invariants to rule out stable equivalence of knot complexes.
Algebr. Geom. Topol. 20 (2020), no. 1, 29-48. arXiv.

Teaching

In the fall, I will be teaching Math 31 Topics in Algebra.

In previous terms at Dartmouth College, I have taught the following courses:

At Indiana University, I taught a variety of courses:

Talks

Upcoming:

Unknotting with a single twist, NCNGT Confrence topic group on Knots, surfaces, and 4-manifolds, June 2020, held virtually at ncngt.org. See my talk here.

Unknotting with a single twist, AMS-AWM Special session on Women in Topology, Joint Mathematics Meetings, January 2020, Denver, CO.

Unknotting with a single twist, Special Session on Invariants of Knots, Links, and Low-dimensional Manifolds, AMS Sectional Meeting, October 2019, Binghamton, NY.

Nonorientable surfaces bounded by knots: a geography problem, Knot concordance and low-dimensional manifolds, June 2019, Le Croisic, France.

The geography of nonorientable surfaces bounded by knots, Special Session on Invariants of Knots, Links, and Low-dimensional Manifolds, AMS Sectional Meeting, April 2019, Hartford, CT.

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.

Professional Development

Participated in the Mentoring Series (on learning to be an effective mentor) at Dartmouth College (Spring 2020).

Attended the ICERM workshop Perspectives on Dehn Surgery (July 2019, Providence, RI).

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)

Recent Outreach

Presenter at The Governor's Institute of Vermont in Mathematical Sciences, Junes 2019, 2020.
June 2019 topic: intro to knot theory. June 2020 topic: platonic solids, Euler, and induction.

Selection committee member for Dartmouth's Biographies of Contemporary Women in Mathematics essay contest, Winters 2019, 2020.

Co-organizer of Sonia Kovalevsky Day at Dartmouth, May 2019. Here are slides from a workshop I co-organized.

Contact details

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

© 2018 Samantha Allen
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