How do I find the columns that depend on a specified CLR user-defined type or alias type?

USE <database_name>;
GO
SELECT OBJECT_NAME(object_id) AS object_name 
    ,c.name AS column_name 
    ,SCHEMA_NAME(t.schema_id) AS schema_name
    ,TYPE_NAME(c.user_type_id) AS user_type_name
    ,c.max_length
    ,c.precision
    ,c.scale
    ,c.is_nullable
    ,c.is_computed
FROM sys.columns AS c
INNER JOIN sys.types AS t ON c.user_type_id = t.user_type_id
WHERE c.user_type_id = TYPE_ID('<schema_name.data_type_name>'); 
GO