How to mix parmessan (or any hard cheese) into oil sauce When making sauces from a roux or starchy water (like cacio e pepe), I find it's quite easy to infuse hard cheese like Parmesan into it.

However, is there anything I can do when working with oil-based sauces?

In particular, I'm looking at this recipe.  To sum it up, his sauce is made of:


Olive oil
Butter
White wine
Lemon juice &amp; zest
Parmesan cheese
Reduce by ~half


The recipe was wonderful... but when I added the Parmesan (after the other sauce ingredients and before the pasta is added) as done in the video, it immediately just gunked up and started grouping in a ball the more I agitated it.  After seeing this, I just added the rest of the Parmesan after I plated the dish.

The guy did another weird thing... and that is leaving his shrimp in the sauce while reducing it.  I understand this surly overcooks the shrimp and makes them really shrink and tougher than they should be... so I'm kind of thinking it's maybe best to not exactly follow his steps.

To sum it up... my question is:


Can I add Parmesan directly to this sauce while cooking it... and how?  Will this make my sauce richer, like adding a Parmesan rind to a soup? 
Or should I just add the Parmesan to the plated dish after?
It's not traditional to add cheese to fish dishes in much of Italian cuisine. Historically, this may be more closely connected to economics and religious beliefs than for any culinary reason.  As far as flavor development goes, if you like parmesean cheese with your fish based pasta dishes, by all means, use it.

Getting the cheese to emulsify into the sauce is quite tricky.  Even though it is an oil based sauce, you will typically need to add a bit of the pasta cooking water to help with the emulsification.  Also, you will want to remove the sauce from the heat before the addition of the water and cheese.  

When the pasta is about 1 to 2 minutes from being completely cooked, remove from boiling water directly to the pan with the condiment.  Add a few splashes of cooking water and stir vigorously to emulsify.  Remove from heat.  Add a bit of cheese, stir vigorously...and a splash or two of pasta water.  Continue until you have added all of the cheese, but a little at a time.

Sometimes, if it's too hot, or I don't have room in the pan to really stir and toss, it clumps.  It takes some practice and patience.