Preheat oven to 350F with rack in middle.

Pulse almonds, sugar, matzo cake meal, and salt in a food processor until finely ground. Transfer to a bowl and stir in butter until combined well. Press onto bottom and 1 inch up side of springform pan. Bake until crust is firm and a shade darker, 12 to 15 minutes. Cool crust completely in pan on a rack.

Reduce oven temperature to 300°F.

Beat together cream cheese and sugar in a bowl with an electric mixer at medium speed until smooth, 1 to 2 minutes. Reduce speed to low and add eggs 1 at a time, mixing until incorporated. Mix in zest and vanilla.

Put springform pan in a shallow baking pan and pour filling into cooled crust. Bake until filling is set 1 1/2 inches from edge but center is wobbly, 45 to 50 minutes (filling will continue to set as it cools). Transfer cake in pan to a rack and immediately run a knife around edge, then remove side of pan. Cool completely, 2 to 3 hours.