Just want to check when you parallize Strassen's algorithm you get a time complexity of $O(\log n )$ because you divide and conquer $\log n$ times in parallel and a space complexity of $ O( n^{\log_2 7} ) $ because the space complexity in the parallel setting satisfies the same recursive identity as time complexity in the sequential setting.
Should be obvious but I couldn't find this by googling.
Also looking for a reference on parallel matrix algorithms.