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  • Mortal Solutions to the Kähler--Ricci flow, joint with Gang Tian. ​PDF ᐧ Proceedings. 

  • Hyperbolicity and Schwarz Lemmas in Calibrated Geometries, joint with Anton Illiashenko and Jesse Madnick. PDF arXiv.

  • Vanishing Theorems for Hodge Numbers and the Calabi Curvature Operator, joint with Jan Nienhaus, Peter Petersen, James Stanfield, and Matthias WinkPDF arXiv

  • Remarks on Lang's Conjectural Characterisation of Hyperbolicity of Projective Manifolds, joint with Frédéric CampanaPDFarXiv 

  • Hermitian metrics with vanishing second Chern Ricci curvature, joint with Artem Pulemotov, Bulletin of the London Mathematical Society, 57, no. 1, pp. 38--47, (2025) PDFarXivJournal

  • A general Schwarz lemma for Hermitian manifolds, joint with James StanfieldPDFarXiv

  • Some Remarks on the Wu--Yau TheoremPDFarXiv

  • (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) PDFarXiv Journal

  • On the Gauduchon Curvature of Hermitian Manifolds, joint with James Stanfield, International Journal of Mathematics, 34, no. 7, 2350039, (2023). PDFarXiv Journal

  • On the Nonnegativity of the Dirichlet Energy of a Weighted Graph, Bulletin of the Australian Mathematical Society, 106, no. 2, pp. 301–305, (2022). PDF Journal

  • An Eigenvalue characterization of the dual EDM cone, Bulletin of the Australian Mathematical Society, 106, no. 1, pp. 67–69, (2022). PDF Journal

  • Remarks on the Quadratic Orthogonal Bisectional CurvatureJournal of Geometry, 113, no. 2, Paper No. 39, 8 pp., (2022). PDFarXiv Journal

  • On Hermitian manifolds with vanishing curvatureJoint with Kai TangMathematische Zeitschrift, 309, no. 12, 14 pp., (2024). PDFarXiv Journal

  • On the weighted orthogonal Ricci curvature, Joint with Kai Tang, Journal of Geometry and Physics, 193, no. 104783, 13 pp., (2023). PDFarXiv Journal

  • The Schwarz Lemma: An Odyssey, The Rocky Mountain Journal of Mathematics, 52, no. 4, pp. 1141--1155, (2022). PDFarXiv Journal

  • The Schwarz lemma in Kähler and non-Kähler geometry, Asian Journal of Mathematics, 27, no. 1, pp. 121-134, (2023). PDFarXiv Journal

  • Second-order estimates for collapsed limits of Ricci-flat Kähler metricsCanadian Mathematics Bulletin, 66, no. 3, pp. 912-926, (2023). PDFarXiv Journal

  • Twisted Kähler-Einstein Metrics and CollapsingPDFarXiv

  • Complex Manifolds of Hyperbolic and Non-Hyperbolic-Type, Ph.D. thesis at ANU and BICMR under the supervision of Ben Andrews and Gang TianPDF

  • Theory of Stein SpacesUndergraduate thesis at ANU under the supervision of Alexander Isaev. PDF

Contact information:

Website: https://www.kylebroder.com

Email: k.broder@uq.edu.au

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