Thomas Walpuski
D311 Wells Hall
thomas@walpu.ski
(PGP public key)
Research
Preprints
On the compactness problem for a family of generalized Seiberg–Witten equations in dimension three
with
Boyu Zhang
Hecke modifications of Higgs bundles and the extended Bogomolny equation
with
Siqi He
Castelnuovo’s bound and rigidity in almost complex geometry
with
Aleksander Doan
Equivariant Brill–Noether theory for elliptic operators and super-rigidity of J–holomorphic maps
with
Aleksander Doan
On counting associative submanifolds and Seiberg–Witten monopoles
with
Aleksander Doan
Publications
Deformation theory of the blown-up Seiberg–Witten equation in dimension three
with
Aleksander Doan
accepted for publication in
Selecta Mathematica
On the existence of harmonic
Z
_{2}
spinors
with
Aleksander Doan
accepted for publication in
Journal of Differential Geometry
Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
with
Adam Jacob
Communications in Partial Differential Equations
43
11
2018
1566–1598
Tangent cones of Hermitian Yang–Mills connections isolated singularities
with
Adam Jacob
and
Henrique Sá Earp
Mathematical Research Letters
25
5
2018
1429–1445
G
_{2}
–instantons, associative submanifolds, and Fueter sections
Communication in Analysis and Geometry
25
4
2017
847–893
A compactness theorem for Fueter sections
Commentarii Mathematici Helvetici
92
4
2017
751–776
Spin(7)–instantons, Cayley submanifolds, and Fueter sections
Communications in Mathematical Physics
352
1
2017
1–36
Notes on the octonions
with
Dietmar Salamon
Proceedings of the 23rd Gökova Geometry–Topology Conference
2017
1–85
G
_{2}
–instantons over twisted connected sums: an example
Mathematical Research Letters
23
2
2016
529–544
Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three
with
Anda Degeratu
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
12
17
2016
A compactness theorem for the Seiberg–Witten equation multiple spinors in dimension three
with
Andriy Haydys
Geometric and Functional Analysis
25
5
2015
1799–1821
G
_{2}
–instantons over twisted connected sums
with
Henrique Sá Earp
Geometry and Topology
19
3
2015
1263–1285
G
_{2}
–instantons over generalised Kummer constructions
Geometry and Topology
17
5
2013
2345–2388
Teaching
I'm not teaching in Fall 2019.
Lecture Notes
Riemannian Geometry II
Topics in Geometry: Spin Geometry
Introduction to Partial Differential Equations