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Remarks on Lang's Conjectural Characterisation of Hyperbolicity of Projective Manifolds

Joint with Frédéric Campana

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Hermitian metrics with vanishing second Chern Ricci curvature

Joint with Artem Pulemotov, Bulletin of the London Mathematical Society, 

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A general Schwarz lemma for Hermitian manifolds

Joint with James Stanfield.

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Some Remarks on the Wu--Yau Theorem

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(ε,𝛅)-Quasi-Negative Curvature and Positivity of the Canonical Bundle

Joint with Kai Tang, Journal of Geometric Analysis, 34, no. 180, 17 pp., (2024)

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On the Gauduchon Curvature of Hermitian Manifolds

Joint with James Stanfield, International Journal of Mathematics, 34, no. 7, 2350039, (2023).

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On the Nonnegativity of the Dirichlet Energy of a Weighted Graph

Bulletin of the Australian Mathematical Society, 106, no. 2, pp. 301–305, (2022).

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An Eigenvalue characterization of the dual EDM cone

Bulletin of the Australian Mathematical Society, 106, no. 1, pp. 67–69, (2022).

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Remarks on the Quadratic Orthogonal Bisectional Curvature

Journal of Geometry, 113, no. 2, Paper No. 39, 8 pp., (2022).

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On Hermitian manifolds with vanishing curvature

Joint with Kai TangMathematische Zeitschrift, 309, no. 12, 14 pp., (2024).

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On the weighted orthogonal Ricci curvature

Joint with Kai Tang, Journal of Geometry and Physics, 193, no. 104783, 13 pp., (2023).

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The Schwarz Lemma: An Odyssey

The Rocky Mountain Journal of Mathematics, 52, no. 4, pp. 1141--1155, (2022).

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The Schwarz lemma in Kähler and non-Kähler geometry

Asian Journal of Mathematics, 27, no. 1, pp. 121-134, (2023).

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Second-order estimates for collapsed limits of Ricci-flat Kähler metrics

Canadian Mathematics Bulletin, 66, no. 3, pp. 912-926, (2023).

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Twisted Kähler-Einstein Metrics and Collapsing

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Complex Manifolds of Hyperbolic and Non-Hyperbolic-Type

Ph.D. thesis at ANU and BICMR under the supervision of Ben Andrews and Gang Tian.

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Theory of Stein Spaces

Undergraduate thesis at ANU under the supervision of Alexander Isaev.

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Contact information:

Website: https://www.kylebroder.com

Email: k.broder@uq.edu.au

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