come up

verb

• To come towards, to approach.

  "I was standing on the corner when Nick came up and asked for a cigarette."

• To emerge or become known, especially unexpectedly.

  "Unless anything comes up, I'll be there every day this week."

• To come to attention, present itself; to arrive or appear.

  "At some point in the conversation my name came up, and I readily agreed to their proposition."

• To appear (before a judge or court).

  "He came up before a judge and was fined a thousand dollars."

• To draw near in time.

  "The summer holidays are coming up."

• (of a heavenly body) To rise (above the horizon).

  "It'll be warmer once the sun comes up."

• To begin to feel the effects of a recreational drug.

  "I could tell from her expression that she was coming up already."

• (Oxford University) To arrive at the university. (Compare go down, send down.)