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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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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Algebraic and Analytic Methods in Gauge Theory
Wilkin, G. P. D. (Principal investigator)
1/04/24 → 31/12/24
Project: Other project (funded) › Restricted grant
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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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Morse Theory: Old and new
Wilkin, G. P. D. (Invited speaker)
16 Dec 2024Activity: Talk or presentation › Invited talk
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From Kleinian singularities to rational elliptic surfaces
Wilkin, G. P. D. (Invited speaker)
11 Dec 2024Activity: Talk or presentation › Invited talk
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Algebraic and Analytic Methods in Gauge Theory
Wilkin, G. P. D. (Organiser) & McIntosh, I. (Organiser)
4 Sept 2024 → 6 Sept 2024Activity: Participating in or organising an event › Conference