Sarah Rasmussen

Centre for Mathematical Sciences
Wilberforce Road
Cambridge CB3 0WB
United Kingdom

Office: CMS E1.04
Phone: (+44) 1223 764270
Email: S.Rasmussen


I am a Postdoctoral Research Associate in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge. This allows me to study fun questions in low dimensional topology and geometry. I am particularly interested in relationships between Heegaard Floer theory and various non-gauge-theoretic structures in 3 and 4 dimensions, such as left-invariant fundamental group orders, taut foliations, tight contact structures, and complex surface singularities. My original training was in mirror symmetry and string theory, and I am still a fan of both.


2017-18 Part III 3-manifolds.
2016-17 Part III Differential Geometry: Examples Classes.
2015-16 Part II Algebraic Geometry: Supervisions.

Invited Talks:

Warwick, UK: Geometric topology in low dimensions, 18-22 Sept 2017.
Braga, Portugal: XXVI International Fall Workshop on Geometry and Physics, 4-7 Sep 2017.
Oaxaca, Mexico: Thirty Years of Floer Theory for 3-Manifolds (BIRS), 30 July - 4 Aug 2017.
Isle of Skye, UK: Low-dimensional topology on Skye, 12-16 June.
Ludwig-Maximilians-Universität, Munich: Oberseminar Geometrie, 25 April 2017.
Georgia Tech & University of Georgia, USA: Joint Topology Seminar, 3 April 2017.
Washington University in St. Louis, USA: Colloquium and lecture series, 27-31 March 2017.
Rényi Insitute, Budapest: Algebraic Geometry and Differential Topology Seminar, 24 Feb 2017.
Newton Institute, UK: 3-Manifold Workshop, 30 Jan - 3 Feb 2017.
Durham University, UK: Pure Maths Colloquium, 21 Nov 2016.
Oberwolfach, Germany: Singularities Workshop, 25 Sep - 1 Oct 2016.
Glasgow, UK: 31st British Topology Meeting, 29-31 August 2016.
University of Oregon, USA: Topology/Geometry Seminar, 26 July 2016 (abstract).
Dubrovnik, Croatia: Ronsfest: Perspectives in topology and geometry of 4-manifolds, 6-10 June 2016 (slides).
University of Glasgow, UK: Geometry and Topology Seminar, 1 February 2016 (abstract).
University of Cambridge, UK: Differential Geometry and Topology Seminar, 27 May 2015 (abstract).


"L-space surgeries on satellites by algebraic links," arXiv:1703.06874.


"Heegaard Floer theory, semigroups, and a new characterization of rational surface singularities,"
Oberwolfach Reports: “Singularities,” 13 (3), 2652-2655 (2016). doi:10.4171/OWR/2016/46.

"L-space intervals for Graph Manifolds and Cables."
Compositio Mathematica, 153 (5), 1008-1049, 2017.

"Taut foliations on graph manifolds," with Jonathan Hanselman, Jacob Rasmussen, and Liam Watson.
To appear in Compositio Mathematica. arXiv:1508.05911.

"Floer Simple Manifolds and L-space Intervals," with Jacob Rasmussen.
To appear in Advances in Mathematics. arXiv:1508.05900.


"A number theoretic result for Berge's conjecture," Harvard University PhD Thesis, 2009. arXiv:1601.03430.