Let all ingredients come to room temperature before starting. In a small saucepan, whisk the eggs until smooth. Add the cream and simple syrup, whisking to combine.
Place the saucepan over medium-low heat and whisk constantly to prevent clumping or burning. Cook for 10–15 minutes, until the mixture thickens into a custard. It's ready when it reaches 170°F or passes the spoon test—drag your finger across the back of a spoon coated in custard; if a clear line remains, it's done.
Remove the pan from heat and immediately stir in the Parmesan cheese. Whisk until fully melted and incorporated into the custard.
Strain the custard through a sieve into a clean bowl. Cool to room temperature, then refrigerate or place in an ice bath until thoroughly chilled.
Once chilled, churn the custard in an ice cream maker according to the machine's instructions.
The ice cream will be soft straight out of the machine. For a firmer texture and easier scooping, transfer to a container and freeze for 12 hours before serving.
Notes
Freshly grated Parmesan is essential for a smooth texture—pre-grated varieties may not melt properly.
Simple syrup can be homemade by heating equal parts sugar and water until dissolved; cool before using.
Serve as a standalone gourmet dessert or pair with figs, balsamic reduction, or toasted nuts for a bold presentation.