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Sergio Charles

I am a freshman at Stanford University, studying computer science and mathematics, with interests in symbolic systems, iOS app development, deep learning, and physics.

End-goal (somewhat cliché): Improve the lives of others around me.

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Top posts (11) All Questions Answers | Votes Newest

7 How does one complexify a real $n$-dimensional Riemannian manifold $(M,g)$? Jul 24 '18
2 Relationship between the Betti numbers $b_i(M;\mathbb{Q})$ and the dimension of rational homotopy $\dim_{\mathbb{Q}}\pi_i(M)\otimes\mathbb{Q}$ Jul 25 '18
2 Show that the rational cohomology ring $H^*(M;\mathbb{Q})$ needs at least two generators Jul 20 '18
1 Is there a class of non-symmetric spaces $G/SO(n)$ such that $Hol(G/SO(n))=SO(n)$? Jul 28 '18
1 Can a continuous map on a Hilbert manifold be approximated by a map which has infinitely many critical points? Aug 3 '18
0 Computing $H^*(BDiff(W_{\infty},D^{\infty});\mathbb{Q})$ via Mumford-Morita-Miller classes Aug 5 '18
0 Can a continuous map on a Hilbert manifold be approximated by a map which has infinitely many critical points? Aug 29 '18
0 How do we compute the even cohomology $H^{2i}(Q)$ of the affine hyperquadric? Jul 30 '18
0 Compute the rational cohomology ring $H^*(M;\mathbb{Q})$ of a product of Lie groups (and their quotients) Jul 28 '18
-2 Generalizing the Madsen-Weiss Theorem via the scanning map $\mathscr{C}(M,\mathbb{R}^{\infty})\to\Omega^{\infty}AG^+_{\infty,d}$ Aug 1 '18
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