Centre for Mathematical Sciences
Cambridge CB3 0WB
Office: CMS E1.04
Phone: (+44) 1223 764270
I am a Postdoctoral Research Associate
in the Department of Pure Mathematics and Mathematical
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.
Part III 3-manifolds.
Part III Differential Geometry:
Part II Algebraic Geometry: Supervisions.
Oxford University, UK:
Geometry and Analysis Seminar,
4 June 2018 (upcoming).
Perspectives on bordered Heegaard Floer theory,
12-13 May 2018 (upcoming).
Simons CRM Invited Scholar in Residence
1 April - 30 May 2018 (upcoming).
Aspen, CO, USA:
Quantum knot homology and supersymmetric gauge theories,
4-10 March 2018 (upcoming).
Geometric topology in low dimensions,
18-22 Sept 2017.
XXVI International Fall Workshop on Geometry and Physics,
4-7 Sep 2017.
Thirty Years of Floer Theory for 3-Manifolds (BIRS),
30 July - 4 Aug 2017.
Isle of Skye, UK:
Low-dimensional topology on Skye,
25 April 2017.
Georgia Tech & University of Georgia, USA:
Joint Topology Seminar,
3 April 2017.
Washington University in St. Louis, USA:
lecture series, 27-31 March 2017.
Rényi Insitute, Budapest:
Algebraic Geometry and Differential Topology Seminar,
24 Feb 2017.
Newton Institute, UK:
30 Jan - 3 Feb 2017.
Durham University, UK:
Pure Maths Colloquium,
21 Nov 2016.
Singularities Workshop, 25 Sep - 1 Oct 2016.
31st British Topology Meeting, 29-31 August 2016.
University of Oregon, USA:
26 July 2016.
Ronsfest: Perspectives in topology and geometry of 4-manifolds,
6-10 June 2016.
University of Glasgow, UK:
Geometry and Topology Seminar,
1 February 2016.
University of Cambridge, UK:
Differential Geometry and Topology Seminar,
27 May 2015.
"L-space surgeries on satellites by algebraic links,"
"Heegaard Floer theory, semigroups, and a new characterization of rational
Oberwolfach Reports: “Singularities,”
13 (3), 2652-2655 (2016).
"L-space intervals for Graph Manifolds and Cables."
Compositio Mathematica, 153 (5), 1008-1049, 2017.
"Taut foliations on graph manifolds," with
Jacob Rasmussen, and
To appear in Compositio Mathematica.
"Floer Simple Manifolds and L-space Intervals," with
Advances in Mathematics, 322 (2017) 738-805.
"A number theoretic result for Berge's conjecture,"
Harvard University PhD Thesis, 2009,
125 pp. ISBN: 978-1109-25330-6, ProQuest LLC,