I am a Lecturer in Pure Mathematics at University College London and a Junior Research Fellow of Trinity College, Cambridge. My research areas are differential geometry, gauge theory, and symplectic topology.

**London office:** Room 346, Kathleen Lonsdale Building, UCL

**Cambridge office:** Room D017, Centre for Mathematical Sciences

**Postal address:** Trinity College, Cambridge, CB2 1TQ

**Email:** a.doan@ucl.ac.uk

*Holomorphic Floer theory and the Fueter equation* — with S. Rezchikov

arXiv:2210.12047 (2022)

*The Gopakumar-Vafa finiteness conjecture* — with E. Ionel and T. Walpuski

arXiv:2103.08221 (2021)

*Equivariant Brill-Noether theory for elliptic operators and super-rigidity of J-holomorphic maps* — with T. Walpuski

Forum of Mathematics, Sigma (2023) /
arXiv:2006.01352

*Counting embedded curves in symplectic 6-manifolds* — with T. Walpuski

Comentarii Mathematici Helvetici (2022) / arXiv:1910.12338 (2019)

*Castelnuovo's bound and rigidity in almost complex geometry* — with T. Walpuski

Advances in Mathematics (2021) / arXiv:1809.04731

*On the existence of harmonic Z _{2} spinors* — with T. Walpuski

Journal of Differential Geometry (2021) / arXiv:1710.06781

*Deformation theory of the blown-up Seiberg-Witten equation in dimension three* — with T. Walpuski

Selecta Mathematica (2020) /
arXiv:1704.02954

*On counting associative submanifolds and Seiberg-Witten monopoles* — with T. Walpuski

Pure and Applied Mathematics Quarterly (2019) / arXiv:1712.08383

*Seiberg-Witten monopoles with multiple spinors on a surface times a circle*

Journal of Topology (2019) /
arXiv:1701.07942

*Adiabatic limits and Kazdan-Warner equations*

Calculus of Variations and PDE (2018) / arXiv:1701.07931

*Analytic and algebraic aspects of gauge theory*

Overview article for the MSRI research program (2022), design and typesetting by The Emissary

*Beyond squares and triangles*

General audience interview published by the Simons Foundation (2020)

*Monopoles and Fueter sections on three-manifolds*

PhD dissertation at Stony Brook University (2019)

*Holomorphic Floer theory and the Fueter equation*, New Four-Dimensional Gauge Theories, 2022

see also similar talks at the Institute for Advanced Study and M-Seminar

*Equivariant transversality meets geometric measure theory*,
Western Hemisphere Virtual Symplectic Seminar, 2021

*Counting pseudo-holomorphic curves in symplectic six-manifolds*,
Gauge Theory Virtual Seminar, 2021

*Counting embedded curves in symplectic six-manifolds*, Institute for Advanced Study, 2020

*From curve counting to gauge theory*,
Oxford–London Gauge Assembly, 2020

*On complexification and categorification*, Geometry and Analysis of Moduli Spaces, 2020

*From gauge theory to calibrated geometry and back*, Simons Collaboration on Special Holonomy, 2019

*The ADHM vortex equations on Riemann surfaces*, Novel Vistas on Vortices, 2019

*Multiple covers of associatives and ADHM monopoles*, Gauge Theory and Special Holonomy, 2018

*Fueter sections and wall-crossing in Seiberg-Witten theory*, Special Holonomy: Progress and Open Problems, 2017

*Seiberg-Witten monopoles with multiple spinors on a surface times a circle*, Recent Developments in Gauge Theory, 2016