Preprints

The Gopakumar–Vafa finiteness conjecture
joint with
Doan, A.
and
Ionel, E.

Counting embedded curves in symplectic 6–manifolds
joint with
Doan, A.

Arithmetic conditions for the existence of G_{2}–instantons over twisted connected sums

Equivariant Brill–Noether theory for elliptic operators and superrigidity of J–holomorphic maps
joint with
Doan, A.
Publications

On the existence of harmonic Z_{2} spinors
joint with
Doan, A.
in
Journal of Differential Geometry
117.3
(2021)
pp. 395–449

Castelnuovo’s bound and rigidity in almost complex geometry
joint with
Doan, A.
in
Advances in Mathematics
379
(2021)

Deformation theory of the blownup Seiberg–Witten equation in dimension three
joint with
Doan, A.
in
Selecta Mathematica
26.3
(2020)

Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
joint with
Jacob, A.
in
Communications in Partial Differential Equations
43.11
(2019)
pp. 1566–1598

On counting associative submanifolds and Seiberg–Witten monopoles
joint with
Doan, A.
in
Pure and Applied Mathematics Quarterly
15.4
(2019)
pp. 1047–1133

On the compactness problem for a family of generalized Seiberg–Witten equations in dimension three
joint with
Zhang, B.
to appear in Duke Mathematical Journal

Hecke modifications of Higgs bundles and the extended Bogomolny equation
joint with
He, S.
in
Journal of Geometry and Physics
146
(2019)

Tangent cones of Hermitian Yang–Mills connections with isolated singularities
joint with
Jacob, A.
and
Sá Earp, H. N.
in
Mathematical Research Letters
25.5
(2018)
pp. 1429–1445

G_{2}–instantons, associative submanifolds, and Fueter sections
in
Communications in Analysis and Geometry
25.4
(2017)
pp. 847–893

A compactness theorem for Fueter sections
in
Commentarii Mathematici Helvetici
92.4
(2017)
pp. 751–776

Notes on the octonions
joint with
Salamon, D. A.
in
Proceedings of the 23rd Gökova Geometry–Topology Conference
(2017)
pp. 1–85

Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three
joint with
Degeratu, A.
in
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
12.17
(2016)

Spin(7)–instantons, Cayley submanifolds, and Fueter sections
in
Communications in Mathematical Physics
352.1
(2016)
pp. 1–36

G_{2}–instantons over twisted connected sums: an example
in
Mathematical Research Letters
23.2
(2016)
pp. 529–544

A compactness theorem for the Seiberg–Witten equation with multiple spinors in dimension three
joint with
Haydys, A.
in
Geometric and Functional Analysis
25.6
(2015)
pp. 1799–1821

G_{2}–instantons over twisted connected sums
joint with
Sá Earp, H. N.
in
Geometry and Topology
19.3
(2015)
pp. 1263–1285

G_{2}–instantons on generalised Kummer constructions
in
Geometry and Topology
17.4
(2013)
pp. 2345–2388