339 citations · 6k across the 162 of their papers we have counts for
165 papers
Lipshitz-Sarkar refines mirrors more than Khovanov
Yang-Hui He
Lipshitz and Sarkar asked in an ICM 2018 question whether their homotopy-theoretic refinement of Khovanov homology can detect mirror reflection when ordinary integral Khovanov homo…
CIPro Package: Complete Intersections in Products of Projective Spaces and Line Bundles
Lara B. Anderson, Andrei Constantin, James Gray +3
CIPro is a Mathematica package for constructing and analyzing complete intersections in products of projective spaces and line bundles over such varieties. It computes properties o…
New Calabi-Yau Manifolds from Genetic Algorithms
Per Berglund, Yang-Hui He, Elli Heyes +3
Calabi-Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algor…
Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
Anthony Ashmore, Yang-Hui He, Elli Heyes +1
We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approxim…
Flowers of immortality
Thomas Fink, Yang-Hui He
There has been a recent surge of interest in what causes aging. This has been matched by unprecedented research investment in the field from tech companies. But, despite considerab…
Murmurations of elliptic curves
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver +1
We investigate the average value of the Frobenius trace at p over elliptic curves in a fixed conductor range with given rank. Plotting this average as p varies over the primes yiel…