Centre for Mathematical Sciences
Cambridge CB3 0WB, UK
September 2020 - July 2021:
Institute for Advanced Study
1 Einstein Dr
Princeton, NJ 08540
I am an
in the Department of Pure Mathematics and Mathematical
University of Cambridge
(temporarily on leave September 2020-July 2021, for a sabbatical fellowship at the
Institute for Advanced Study at Princeton).
As a low-dimensional topologist, I study
relationships among 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 PhD (Harvard) is in mathematics but I have bachelors' degrees both in mathematics and in physics, I deferred my admission at Harvard's math PhD program to spend a year in Stanford's theoretical physics PhD program, and before that I had both some undergraduate training and an NSF REU internship in biomedical engineering.
My earlier mathematical-physics training was in mirror symmetry and string theory,
and I am still a fan of both.
I'm involved in post-publication criticism of an April Lancet Child & Adolescent Health systematic review on school closures led by SAGE member and RCPCH president Russell Viner.
a site archiving my academic work on this subject.
2018-19 Part III 3-manifolds (Lent).
2017-18 Part III 3-manifolds.
Part III Differential Geometry:
Part II Algebraic Geometry: Supervisions.
UC Davis, CA, USA (remotely):
13 Oct 2020 (upcoming).
Warwick, UK (remotely):
Geometry & Topology Seminar,
4 Aug 2020.
16-22 Feb 2020.
Quanta Magazine article on this conference (spot my arm holding a yellow die!)
Low dimensional topology workshop,
6-10 January 2020.
Monash University, Australia:
Topology Seminar, 16 October 2019.
Providence, USA (as co-organizer):
ICERM Perspectives on Dehn Surgery,
15-19 July 2019.
Athens, GA, USA:
2019 Georgia Topology Conference,
22-26 May 2019.
Santa Barbara, CA, USA:
KITP Quantum Knot Invariants and Supersymmetric Gauge Theories,
13-21 Nov 2018.
Workshop on Gauge theory and topological applications,
23-27 July 2018.
Princeton University, USA:
Mini-conference on low-dimensional topology,
20-22 June 2018.
Geometric structures on 3 and 4 manifolds,
11-15 June 2018.
Oxford University, UK:
4 June 2018.
Perspectives on bordered Heegaard Floer theory school,
8-11 May 2018.
Simons CRM Invited Scholar in Residence
1 Apr - 30 May 2018.
Aspen, CO, USA:
Physics cafe: "Knots and physics" public outreach talk, 7 Mar 2018.
Aspen, CO, USA:
Quantum knot homology and supersymmetric gauge theories conference,
4-10 Mar 2018.
Geometric topology in low dimensions workshop,
18-22 Sept 2017.
XXVI International Fall Workshop on Geometry and Physics,
4-7 Sept 2017.
BIRS Thirty Years of Floer Theory for 3-Manifolds,
30 July - 4 Aug 2017.
Isle of Skye, UK:
Low-dimensional topology on Skye,
12-16 June 2017.
25 Apr 2017.
Georgia Tech & University of Georgia, USA:
Joint Topology Seminar,
3 Apr 2017.
Washington University in St. Louis, USA:
lecture series, 27-31 Mar 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 Sept - 1 Oct 2016.
31st British Topology Meeting, 29-31 Aug 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 Feb 2016.
University of Cambridge, UK:
Differential Geometry and Topology Seminar,
27 May 2015.
"Taut foliations and fundamental group left orders in Heegaard genus 2,"
Workshop Report 2020, 8.
"Rational L-space surgeries on satellites by algebraic links,"
Journal of Topology 13 (4), 1333-1387, 2020.
"Taut foliations on graph manifolds," with
Jacob Rasmussen, and
Compositio Mathematica, 156 (3), 604-612, 2020.
"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.
"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,
(2008-2014: career break for full-time parenting.
I didn't submit my first postdoc job application until 2014.)