Rosemary Honey Lemon Frozen Yogurt

INGREDIENTS

• 2 tablespoons light corn syrup
• 1 1/4 cup Greek yogurt (I used 2% low fat, but I think nonfat and regular would work fine)
• 1/2 cup honey plus more, to taste
• 1 1/2 cup whole milk
• 2 sprigs fresh rosemary
• 2 ounces cream cheese, softened
• Zest from half a lemon
• 2 tablespoons corn starch
• 1/2 cup heavy cream