Research Interests
I am interested in classifying complex manifolds (in particular, projective manifolds) by means of the curvature of metrics that reside on them. I find Kobayashi hyperbolic manifolds (defined, for compact complex manifolds, by the nonexistence of holomorphic maps from the complex line into them) particular fascinating. A folklore generalisation of a conjecture made by Kobayashi I find particularly enchanting: A compact Kobayashi hyperbolic manifold is projective and canonically polarised. Links to the existence of rational curves on CalabiYau manifolds and moduli theory are of notable interest. The 'elliptic counterparts' of hyperbolic manifolds, namely Oka manifolds and Special manifolds are tremendously exciting.
A PDF version of my CV.
Education and Positions Held
September 2022  Present
January 2019  August 2022
January 2018  December 2018
January 2015  December 2017
Postdoctoral Research Fellowship. The University of Queensland.
Funded by the Australian Research Council Discovery Project Grant held by Artem Pulemotov, Wolfgang Ziller, and Mark Gould.
Ph.D. Australian National University and Beijing International Center for Mathematical Research.
Ph.D. thesis: Complex Manifolds of Hyperbolic and NonHyperbolicType.
Advised by Benjamin Andrews and Gang Tian.
B. Sc. Hon. Australian National University.
Undergraduate thesis: On the Theory of Stein Spaces.
Advised by Alexander Isaev.
B. Sc. Australian National University.
Invited Talks

April 23, 2018  Analytic functions of Several Complex Variables. The Australian National University.

October 29, 2019  Canonical Metrics in Kähler geometry. The University of Sydney.

November 12, 2019  Canonical Metrics in Kähler geometry. The Australian National University.

December 10, 2019  Twisted KählerEinstein Metrics and Collapsing. Beijing International Center for Mathematical Research.

April 15, 2020  Collapsed Limits of Ricciflat Kähler metrics. Beijing International Center for Mathematical Research.

September 16, 2021  The Schwarz Lemma: An Odyssey. The Australian National University.

December 7, 2021  Recent developments on the curvature of Hermitian manifolds. AustMS, Geometry with Symmetries.

March 25, 2022  A KählerRicci flow proof of the WuYau theorem (part 1). Australian Geometric PDE seminar.

April 1, 2022  A KählerRicci flow proof of the WuYau theorem (part 2). Australian Geometric PDE seminar.

June 1, 2022  Recent developments concerning the Bochner technique in the Hermitian category. Beijing International Center for Mathematical Research.

June 8, 2022  Recent developments concerning the Bochner technique in the Hermitian category. Monash University.

November 1, 2022  Curvature and Moduli  Some intimations and propaganda. The University of Queensland.

November 25, 2022  Curvature and Moduli  Some intimations and propaganda. Australian Geometric PDE Seminar.

March 3, 2023  Curvature Aspects of Hyperbolicity in Complex Geometry. Differential Geometry Days @ UQ. The University of Queensland.

May 17, 2023  Complex Manifolds of Hyperbolic and NonHyperbolicType. The University of Adelaide.

May 18, 2023  Curvature Aspects of Hyperbolicity in Complex Geometry. The University of Adelaide.

June 3, 2023  Recent Developmenst on the Schwarz Lemma; The University of Rome Tor Vergatta.

June 5, 2023  Curvature Aspects of Hyperbolicity in Complex Geometry; Complex Analysis, Geometry, and Dynamics  Portorož 2023.

October 16, 2023  C^2 and C^3estimates in Kähler geometry, The University of Queensland.

December 5, 2023  A locality theorem for Einstein metrics on compact complex manifolds, The 67th annual meeting of the Australian Mathematical Society, Geometric Analysis Special Session.

December 8, 2023  A locality theorem for Einstein metrics on compact complex manifolds, The 67th annual meeting of the Australian Mathematical Society, Topology Special Session.
Referee and Review Work
I have refereed for the following journals: Advances in Mathematics, the Journal of Geometry and Physics, and the Proceedings of the Edinburgh Mathematical Society.
I have written reviews for the following articles on ZbMath:

Fino, Anna; Grantcharov, Gueo; Vezzoni, Luigi; Solutions to the HullStrominger system with torus symmetry. Review linked here.

Foscolo, Lorenzo; Haskins, Mark; Nordström, Johannes; Complete noncompact G2manifolds from asymptotically conical CalabiYau 3folds. Review linked here.

Dajczer, M.; Onti, C.R.; Vlachos, Th.; A class of Einstein submanifolds of Euclidean space. Review linked here.

Alonso, Izar; Salvatore, Francesca; On the existence of balanced metrics on sixmanifolds of cohomogeneity one. Review linked here.

Mondello, Ilaria; Mondino, Andrea; Perales, Raquel; An upper bound on the revised first Betti number and a torus stability result for RCD spaces. Review linked here.

Anella, F.; Huybrechts, D.; Effectivity of semipositive line bundles. Review linked here.

Belegradek, Igor; Index theory and deformations of open nonnegatively curved manifolds. Review linked here.
Teaching
Semester 1, 2022
Semester 2, 2021
Semester 1, 2021
Semester 2, 2020
Semester 1, 2020
Semester 2, 2019
Semester 2, 2018
Semester 1, 2018
MATH1023. Multivariable Calculus and Modelling. The University of Sydney.
MATH1011. Applications of Calculus. The University of Sydney.
MATH1111. Introduction to Calculus. The University of Sydney.
MATH2021. Vector Calculus and Differential Equations. The University of Sydney.
PHAR1821. Pharmacy Practice 1. The University of Sydney.
MATH1023. Multivariable Calculus and Modelling. The University of Sydney.
MATH1021. Calculus of one variable. The University of Sydney.
MATH2021. Vector Calculus and Differential Equations. The University of Sydney.
MATH1014. Introduction to Linear Algebra. The University of Sydney.
MATH1014. Mathematics and Applications 2. Australian National University.
MATH1013. Mathematics and Applications 1. Australian National University.
MATH2305. Vector Calculus and Differential Equations. The Australian National University.
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