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
Concordances from differences of torus knots to L-space knots. arXiv. Submitted for publication.
Using secondary Upsilon invariants to rule out stable equivalence of knot complexes. arXiv. Submitted for publication.
Teaching
During the spring term, I am teaching Math 8 Calculus of Functions of One and Several Variables at Dartmouth College. 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.
- Math 8 Calculus of Functions of One and Several Variables.
- Math 22 Linear Algebra with Applications.
- D116 Introduction to Finite Mathematics I.
- D117 Introduction to Finite Mathematics II.
- T101 Mathematics for Elementary Teachers.
- J010 Introduction to Algebra.
- J110 Introductory Problem Solving.
- J111 Introduction to College Math I.
- M014 Basic Algebra.
In previous terms at Dartmouth College, I have taught:
At Indiana University, I taught a variety of courses:
Talks
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.
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)
Recent Outreach
Co-organizer of Sonia Kovalevsky Day at Dartmouth, May 2019. Here are slides from a workshop I co-organized.
Judege in Dartmouth's Biographies of Contemporary Women in Mathematics
essay contest, Winter 2019.
Contact details
My email address is samantha.g.allen [𝔞𝔱] dartmouth [𝔡𝔬𝔱] edu.
© 2018 Samantha Allen
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