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1
Set a fine-mesh sieve over a bowl and set the bowl in an ice-water bath.
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2
In a medium bowl, whisk the egg yolks with 1/4 cup of the sugar.
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3
In a large saucepan, combine the milk, cream and the remaining 1/2 cup of sugar and bring to a simmer, stirring to dissolve the sugar.
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4
Gradually whisk the warm liquid into the egg mixture, then return it all to the saucepan.
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5
Cook over moderate heat, stirring constantly, until the custard is thickened slightly, about 4 minutes.
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6
Strain the custard into the bowl and stir in the sesame oil, vanilla and salt.
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7
Let cool.
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8
Pour the custard into an ice cream maker and freeze according to the manufacturer's instructions.
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9
Transfer the ice cream to an airtight container and freeze until firm, at least 2 hours.
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10
In a small saucepan, cook the sugar over moderate heat, swirling the pan until melted.
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11
Continue to cook, undisturbed, until a deep-amber caramel forms, about 2 minutes.
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12
Remove the saucepan from the heat and carefully add 1/2 cup of water.
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13
When the bubbling subsides, return the caramel to moderate heat and cook, whisking constantly, until any hardened caramel is dissolved and the sauce is slightly thickened, about 3 minutes.
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14
Transfer the caramel sauce to a small pitcher and rinse out the saucepan.
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15
Add the heavy cream and honey to the saucepan and bring to a boil over moderately high heat.
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16
Remove from the heat and whisk in the tahini.
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17
Transfer the tahini cream to a small pitcher.
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18
Scoop the ice cream into bowls and drizzle with the caramel and tahini cream.
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19
Top the sundaes with the crumbled halvah and crushed sesame candies and serve.