Research output per year
Research output per year
Personal profile
Research interests
I use a range of techniques from differential geometry, geometric analysis, algebraic geometry and representation theory to study moduli spaces in gauge theory, with particular emphasis on moduli spaces of Higgs bundles, quiver varieties and gravitational instantons.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Flow lines on the moduli space of rank $2$ twisted Higgs bundles
Wilkin, G. P. D., 23 Aug 2024, arXiv, 22 p.Research output: Working paper › Preprint
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Convolution for quiver varieties via cup product on a Morse complex
Wilkin, G. P. D., 9 May 2023, arXiv, 69 p.Research output: Working paper › Preprint
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Local behaviour of the gradient flow of an analytic function near the unstable set of a critical point
Wilkin, G. P. D., 10 Aug 2023, (Accepted/In press) In: Rocky Mountain Journal of Mathematics. 6 p.Research output: Contribution to journal › Article › peer-review
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Algebraic and Analytic Methods in Gauge Theory
1/04/24 → 31/12/24
Project: Other project (funded) › Restricted grant
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Geometry of very stable and wobbly bundles
Wilkin, G. P. D. & Peon Nieto, A.
1/10/24 → 30/09/25
Project: Research project (funded) › Research
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Geometry and Topology of Singular Spaces
1/08/18 → 30/06/19
Project: Other project › Project from former institution
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Algebraic and Analytic Methods in Gauge Theory
Graeme Peter Desmond Wilkin (Organiser) & Ian McIntosh (Organiser)
4 Sept 2024 → 6 Sept 2024Activity: Participating in or organising an event › Conference
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Simons Center for Geometry and Physics
Graeme Peter Desmond Wilkin (Visitor)
7 Jul 2024 → 20 Jul 2024Activity: Visiting an external institution › Academic
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Hitchin systems from curves in an ALE space
Graeme Peter Desmond Wilkin (Invited speaker)
6 Dec 2023Activity: Talk or presentation › Invited talk