Thomas Walpuski

D311 Wells Hall
(PGP public key)


In Spring 2018, I am teaching a special topics course in geometry MTH993: Spin Geometry.



  1. On counting associative submanifolds and Seiberg–Witten monopoles
    with Aleksander Doan
  2. On the existence of harmonic Z2 spinors
    with Aleksander Doan
  3. Deformation theory of the blown-up Seiberg–Witten equation in dimension three
    with Aleksander Doan
  4. Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
    with Adam Jacob
  5. Tangent cones of Hermitian Yang–Mills connections with isolated singularities
    with Adam Jacob and Henrique Sá Earp
    accepted for publication in Mathematical Research Letters


  1. G2–instantons, associative submanifolds, and Fueter sections
    Communication in Analysis and Geometry 25 4 847–893 2017
  2. A compactness theorem for Fueter sections
    Commentarii Mathematici Helvetici 92 4 751–776 2017
  3. Spin(7)–instantons, Cayley submanifolds, and Fueter sections
    Communications in Mathematical Physics 352 1 1–36 2017
  4. Notes on the octonions
    with Dietmar Salamon
    Proceedings of the 23rd Gökova Geometry–Topology Conference 1–85 2017
  5. G2–instantons over twisted connected sums: an example
    Mathematical Research Letters 23 2 529–544 2016
  6. 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
  7. A compactness theorem for the Seiberg–Witten equation with multiple spinors in dimension three
    with Andriy Haydys
    Geometric and Functional Analysis 25 5 1799–1821 2015
  8. G2–instantons over twisted connected sums
    with Henrique Sá Earp
    Geometry and Topology 19 3 1263–1285 2015
  9. G2–instantons over generalised Kummer constructions
    Geometry and Topology 17 5 2345–2388 2013