Hi! I'm Ribhu Hooja, an undergraduate at Dartmouth College majoring in mathematics. I'm currently interested in spectral geometry, which is the study of Riemannian manifolds using the eigenvalues of the Laplacian. This is the program of reconstructing a space form its "natural frequencies of vibration." Best writing: [[lfpt.pdf|The classical Lefschetz fixed-point theorem]] (pdf, 14 pages) [[Sunada's method]] [[A worked example - the abelianization functor]] Expository articles on spectral geometry: In November 2026 I wrote some (very informal) notes on basic algebraic topology, I will keep adding to these: [[November Blog writing challenge]]