Kyle Broder
Books
My Ph.D. thesis completed under the supervision of Professor Benjamin Andrews and Professor Gang Tian at the Australian National University and Beijing International Center for Mathematical Research.
The length of the thesis is significant because of the absence in the literature of any reference on Hermitian geometry. There is an abundance of choice on references for Kähler geometry, but very little to choose from concerning non-Kähler Hermitian geometry.
Lectures notes from a series of lectures given at the Australian National University (ANU) in 2022. The student cohort consisted of approximately 200 second year undergraduate students. The majority of the students entered the course after taking the standard-stream of first year mathematics courses offered by ANU (MATH1013 and MATH1014), but others had taken the honours first-year stream (MATH1115 and MATH1116).
Notes
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Examples of Unbounded Domains that are Kobayashi Hyperbolic.
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Problem Section for undergraduate and beginning PhD students.
Slides from Talks
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The Schwarz Lemma in Kähler and Non-Kähler Geometry. Slides from a talk given at the Complex Analysis, Geometry, and Dynamics -- Portorož 2023 conference.
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The Schwarz Lemma in Kähler and Non-Kähler Geometry. Slides from a talk given at the University of Rome "Tor Vergata".