"I contend that I am capable of learning new material quickly enough that, if I were suddenly called upon at my job to write code which handles all of the slings and arrows of algorithmic complexity, I would be able to do so with very little friction."

How do you know whether or not this is true? Until you know it, how do you go about estimating how long it will take to you to learn it? How do you even assess when you've learned "enough" algorithmic complexity for the task at hand? Can you give any reasons someone looking to hire you should believe that you can learn the ins and outs of algorithmic complexity with "very little friction"?