Overview
Availability
- Dr Kyle Broder is:
- Available for supervision
Qualifications
- Doctor of Philosophy of Mathematics, Australian National University
Research interests
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Kobayashi hyperbolicity
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Oka manifolds
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Rationally connected manifolds
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Kähler--Einstein metrics
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Curvature characterisations of notions in algebraic and complex-analytic geometry
Works
Search Professor Kyle Broder’s works on UQ eSpace
2024
Journal Article
(ε,δ)–Quasi-negative curvature and positivity of the canonical bundle
Broder, Kyle and Tang, Kai (2024). (ε,δ)–Quasi-negative curvature and positivity of the canonical bundle. Journal of Geometric Analysis, 34 (6) 180. doi: 10.1007/s12220-024-01619-4
2024
Journal Article
Hermitian metrics with vanishing second Chern Ricci curvature
Broder, Kyle and Pulemotov, Artem (2024). Hermitian metrics with vanishing second Chern Ricci curvature. Bulletin of the London Mathematical Society, 57 (1), 38-47. doi: 10.1112/blms.13179
2023
Journal Article
On the Gauduchon curvature of Hermitian manifolds
Broder, Kyle and Stanfield, James (2023). On the Gauduchon curvature of Hermitian manifolds. International Journal of Mathematics, 34 (07) 2350039. doi: 10.1142/s0129167x23500398
2023
Journal Article
Second-Order Estimates for Collapsed Limits of Ricci-flat Kähler Metrics
Broder, Kyle (2023). Second-Order Estimates for Collapsed Limits of Ricci-flat Kähler Metrics. Canadian Mathematical Bulletin, 66 (3), 1-15. doi: 10.4153/S0008439522000765
Supervision
Availability
- Dr Kyle Broder is:
- Available for supervision
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Available projects
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Complex Differential Geometry
The study of complex manifolds via methods of differential geometry. This topic has strong links to a number of fields, ranging from algebraic geometry and number theory, to complex analysis, group theory, and homotopy theory.
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Invariant metrics in complex analysis
One of the most important classes of compact complex manifolds are those for which every holomorphic map from the complex plane into them is constant. These manifolds can be described by the existence of a non-degenerate distance function that is invariant under the automorphism group.
Media
Enquiries
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