Research in Differential Geometry

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Leading researchers in differential geometry can be identified by exploring recent publications in math journals and on arXiv, particularly in areas like symplectic and Kähler geometry. Consulting with a math advisor can also provide valuable insights into faculty specializing in these fields. The diversity within differential geometry means that specific interests, such as algebraic and geometric topology, may lead to different experts. Identifying schools with faculty aligned with these research areas is crucial for selecting a suitable graduate program. Engaging with the academic community will enhance understanding and connections in the field.
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I am currently looking at grad schools, and I am wondering if anyone knew who are the leading researchers in differential geometry. I know that question is a little vague considering how diverse differential geometry is, but I was hoping that something could direct me in the right direction. Right now I am pretty interested in Symplectic geometry and Kaehler geometry. I also have some interest in Algebraic topology and Geometric topology.
 
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In addition to PF, you could ask your math advisor and research the most recent math journals and the arxiv for who's publishing on these geometries. From there you'll be able to see what schools have faculty that specialize in your interests.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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