In this talk, I'll show how algorithms can be used to solve decades-old problems in systems design. I'll present an algorithmic approach to co-designing TLB hardware and the paging mechanism to increase TLB reach without the fragmentation issues incurred by huge pages. Along the way, I'll introduce a new hash-table design that overcomes existing tradeoffs, and achieves better performance than state-of-the-art hash tables both in theory and in practice. Key to these results are "tiny pointers," an algorithmic technique for compressing pointers.