Thomas Walpuski

D311 Wells Hall
thomas@walpu.ski (PGP public key)

Research

Preprints

  1. On the compactness problem for a family of generalized Seiberg–Witten equations in dimension three
    with Boyu Zhang
  2. Hecke modifications of Higgs bundles and the extended Bogomolny equation
    with Siqi He
  3. Castelnuovo’s bound and rigidity in almost complex geometry
    with Aleksander Doan
  4. Equivariant Brill–Noether theory for elliptic operators and super-rigidity of J–holomorphic maps
    with Aleksander Doan
  5. On counting associative submanifolds and Seiberg–Witten monopoles
    with Aleksander Doan

Publications

  1. Deformation theory of the blown-up Seiberg–Witten equation in dimension three
    with Aleksander Doan
    accepted for publication in Selecta Mathematica
  2. On the existence of harmonic Z2 spinors
    with Aleksander Doan
    accepted for publication in Journal of Differential Geometry
  3. Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
    with Adam Jacob
    Communications in Partial Differential Equations 4311 2018 1566–1598
  4. Tangent cones of Hermitian Yang–Mills connections isolated singularities
    with Adam Jacob and Henrique Sá Earp
    Mathematical Research Letters 255 2018 1429–1445
  5. G2–instantons, associative submanifolds, and Fueter sections
    Communication in Analysis and Geometry 254 2017 847–893
  6. A compactness theorem for Fueter sections
    Commentarii Mathematici Helvetici 924 2017 751–776
  7. Spin(7)–instantons, Cayley submanifolds, and Fueter sections
    Communications in Mathematical Physics 3521 2017 1–36
  8. Notes on the octonions
    with Dietmar Salamon
    Proceedings of the 23rd Gökova Geometry–Topology Conference 2017 1–85
  9. G2–instantons over twisted connected sums: an example
    Mathematical Research Letters 232 2016 529–544
  10. Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three
    with Anda Degeratu
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 1217 2016
  11. A compactness theorem for the Seiberg–Witten equation multiple spinors in dimension three
    with Andriy Haydys
    Geometric and Functional Analysis 255 2015 1799–1821
  12. G2–instantons over twisted connected sums
    with Henrique Sá Earp
    Geometry and Topology 193 2015 1263–1285
  13. G2–instantons over generalised Kummer constructions
    Geometry and Topology 175 2013 2345–2388

Teaching

I'm not teaching in Fall 2019.

Lecture Notes