False, algorithms are not math. Math refers to proofs of the basic relationships of mathematical constructs. Algorithms are original procedures to do a certain thing. I believe the patent office allows patents on algorithms since there is more than one algorithm to accomplish the same thing and it does not prevent anyone from doing a proof. It also promotes the development of better algorithms which is what the patent system is for.
"So, yes, they are pretty much what one would call "software patents"."
False, algorithms are not what one would call "software patents". Software patents refer to patents on software/business practices which consist of unoriginal procedures to do common things such as "putting products in a shopping cart".
"That being said, under no circumstances would I recommend a client to hire you if I caught wind that you owned patents applicable to the field in which you would be working. That simply screams "conflict of interest", "subsequent lawsuit", and "humongous liability.""
One can normalize the perceived "conflict of interest". Before becoming employed by a company, start your own company (LLC or small corporation) and assign the patents to your company. You will own your company and your company will own the patents. You will not be able to give away, sell, or license the patents unless you sign as CEO of your company or sell them ownership of your company. A company is an entity independent of you even though you own it. No company should complain about this as you probably own stock in many corporations which hold intellectual property and they know they must deal with the company if they want access to the intellectual property. I am not sure how they will like having you be an employee of their company and the maintaining CEO of your own company but you can separate "newly generated intellectual property" from "intellectual property related to supporting the application of patents by your company".