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Some answers at Math Overflow as (former) user122276:
https://mathoverflow.net/questions/391931/which-representations-of-mathfraksl2-are-homomorphic-images-of-the-tensor/392578#comment1025085_392578
https://mathoverflow.net/questions/385099/when-do-flat-holomorphic-connections-exist
https://mathoverflow.net/questions/123942/how-many-flat-connections-has-a-line-bundle-in-algebraic-geometry?noredirect=1&lq=1
https://mathoverflow.net/questions/390179/an-almost-complex-structure-on-the-real-n-sphere-sn
https://mathoverflow.net/questions/55244/why-must-nilpotent-elements-be-allowed-in-modern-algebraic-geometry
MSE: What is a "moduli space" in math/physics?
What is the definition of moduli space, in math vs in physics?
Some answers to "bountied" questions:
Motivating (iso)morphism of varieties
Why do we use divisors in algebraic geometry?
Is there a theory that describes eigenspaces of matrix functions near degeneracies?
https://math.stackexchange.com/users/858083/hm2020?tab=bounties
Answers to algebraic geometry questions:
Transition maps of vector bundle $\mathbb{C}^{n+1}\backslash\{0\}\times\mathbb{C}/\sim$ over $\mathbb{C}P^n$.
A description of line bundles on projective spaces, $\mathcal{O}_{\mathbb{P}^n}(m)$ defined using a character of $\mathbb{C}^*$.
Why is the projection map $\mathbb{A}^{n+1}_k\setminus \{0\} \to \mathbb{P}^n_k$ a morphism of schemes?
Representations of an algebraic group $G$ versus representations of the group $G(k)$
Distributions of a group scheme as differential operators.
Abel map on the symmetric product: why it is locally boundedness and holomorphicitiy
Grassmannian $\hbox{Gr}(2,\mathbb{C}^5)$ is homeomorphic to $\hbox{Gr}(3,\mathbb{C}^5)$
Genus Degree Formula for Curves over Arbitrary Fields and a Reference Request
A question on varieties and morphisms of varieties.
Grothendieck point of view of algebraic geometry