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  1. Holomorphic p-contact and s-symplectic line bundles, joint with Dan Popovici. PDF ᐧ arXiv

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

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

  4. Vanishing Theorems for Hodge Numbers and the Calabi Curvature Operator, joint with Jan Nienhaus, Peter Petersen, James Stanfield, and Matthias Wink. PDF ᐧ arXiv

  5. ​Remarks on Lang's Conjectural Characterisation of Hyperbolicity of Projective Manifolds, joint with Frédéric Campana. PDF ᐧ arXiv 

  6. Hermitian metrics with vanishing second Chern Ricci curvature, joint with Artem Pulemotov, Bull. London Math. Soc., 57, no. 1, pp. 38--47, (2025) PDF ᐧ arXiv ᐧ Journal

  7. A general Schwarz lemma for Hermitian manifolds, joint with James Stanfield. To appear in Bull. London Math. Soc. PDF ᐧ arXiv

  8. Some Remarks on the Wu--Yau Theorem, PDF ᐧ arXiv

  9. (ε,𝛅)-Quasi-Negative Curvature and Positivity of the Canonical Bundle, joint with Kai Tang, J. Geom. Anal., 34, no. 180, 17 pp., (2024) PDF ᐧ arXiv ᐧ Journal

  10. On the Gauduchon Curvature of Hermitian Manifolds, joint with James Stanfield, Int. J. Math., 34, no. 7, 2350039, (2023). PDF ᐧ arXiv ᐧ Journal

  11. On the Nonnegativity of the Dirichlet Energy of a Weighted Graph, Bull. Aust. Math. Soc., 106, no. 2, pp. 301–305, (2022). PDF ᐧ Journal

  12. An Eigenvalue characterization of the dual EDM cone, Bull. Aust. Math. Soc., 106, no. 1, pp. 67–69, (2022). PDF ᐧ Journal

  13. Remarks on the Quadratic Orthogonal Bisectional Curvature, J. Geom., 113, no. 2, Paper No. 39, 8 pp., (2022). PDF ᐧ arXiv ᐧ Journal

  14. On Hermitian manifolds with vanishing curvature, Joint with Kai Tang, Math. Z., 309, no. 12, 14 pp., (2024). PDF ᐧ arXiv ᐧ Journal

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

  16. The Schwarz Lemma: An Odyssey, RMJ, 52, no. 4, pp. 1141--1155, (2022). PDF ᐧ arXiv ᐧ Journal

  17. The Schwarz lemma in Kähler and non-Kähler geometry, Asian J. Math., 27, no. 1, pp. 121-134, (2023). PDF ᐧ arXiv ᐧ Journal

  18. Second-order estimates for collapsed limits of Ricci-flat Kähler metrics, Canadian Math. Bull., 66, no. 3, pp. 912-926, (2023). PDF ᐧ arXiv ᐧ Journal

  19. Twisted Kähler-Einstein Metrics and Collapsing, PDF ᐧ arXiv

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

  21. Theory of Stein Spaces, Undergraduate 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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