I'm looking to implement some algorithms and publish them as Crates for the rust programming language, what are some that I could implement?
Some algorithmic ideas you might consider implementing include:

Sorting algorithms - such as quicksort or mergesort.
Graph algorithms - such as depth first search or breadth first search.
String matching algorithms - such as Knuth-Morris-Pratt (KMP) or Rabin-Karp.
Prime number factorization algorithms - such as the Sieve of Eratosthenes or the Pollard method.
Data structures like tries, AVL trees, and red-black trees can also be useful in solving certain problems.