Roundup of recent Quanta popularizations and the research they come from:

Near-optimal expansion for 2d surfaces: https://www.quantamagazine.org/impossible-seeming-surfaces-confirmed-decades-after-conjecture-20220602/, https://arxiv.org/abs/2107.05292

Inequality between cohomology rank and number of Hamiltonian flow orbits, https://www.quantamagazine.org/mathematicians-transcend-geometric-theory-of-motion-20211209/, https://arxiv.org/abs/2103.01507

Among pairwise-coprime sequences, primes maximize \(\sum 1/n_i\log n_i\): https://www.quantamagazine.org/graduate-students-side-project-proves-prime-number-conjecture-20220606/, https://arxiv.org/abs/2202.02384

Fast maximum flow algorithms: https://www.quantamagazine.org/researchers-achieve-absurdly-fast-algorithm-for-network-flow-20220608/, https://arxiv.org/abs/2203.00671