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Dr

Kyle Broder

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Overview

Availability

Dr Kyle Broder is:
Available for supervision

Qualifications

  • Doctor of Philosophy of Mathematics, Australian National University

Research interests

  • Kobayashi hyperbolicity

  • Oka manifolds

  • Rationally connected manifolds

  • Kähler--Einstein metrics

  • Curvature characterisations of notions in algebraic and complex-analytic geometry

Works

Search Professor Kyle Broder’s works on UQ eSpace

4 works between 2023 and 2024

1 - 4 of 4 works

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

(ε,δ)–Quasi-negative curvature and positivity of the canonical bundle

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

Hermitian metrics with vanishing second Chern Ricci curvature

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

On the Gauduchon curvature of Hermitian manifolds

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

Second-Order Estimates for Collapsed Limits of Ricci-flat Kähler Metrics

Supervision

Availability

Dr Kyle Broder is:
Available for supervision

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Available projects

  • 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.

  • 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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communications@uq.edu.au