Thomas Walpuski

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Teaching

This term I am teaching 18.965 Geometry of Manifolds.

Research

  1. Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds with Adam Jacob print version
  2. A compactness theorem for Fueter sections
  3. G2–instantons over twisted connected sums: an example print version
    published as Mathematical Research Letters 23 (2016), no. 2, 529–544
  4. Spin(7)–instantons, Cayley submanifolds and Fueter sections
    published in Communications in Mathematical Physics (2016)
  5. A compactness theorem for the Seiberg–Witten equation with multiple spinors in dimension three with Andriy Haydys print version
    published as Geometric and Functional Analysis 25 (2015), no. 6, 1799–1821
  6. G2–instantons over twisted connected sums with Henrique Sá Earp print version
    published as Geometry and Topolology 19 (2015), no. 3, 1263–1285
  7. Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three with Anda Degeratu
    published as SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), Paper 017, 23 pp.
  8. G2–instantons, associative submanifolds and Fueter sections
  9. G2–instantons over generalised Kummer constructions
    published as Geometry and Topology 17 (2013), no. 4, 2345–2388.
  10. Notes on the octonions with Dietmar Salamon
You can also find my papers on the arXiv.