1) Late (adjective) – near the end of a period of time.

• We had to reschedule the programme due to his late arrival.
• He’s probably in his late thirties.

2) Late (adjective) – refers to someone who has died.

• She gave her late husband’s clothes to charity.

3) Late (adverb)

• She arrived late.
• It happened late in 1990.
• When Jithu came home late his mother scolded him.

BUT,

Lately (adverb) = RECENTLY

We use ‘lately’ usually in Present perfect tense. Please note that it is not the adverb of ‘late’.

• She hasn’t been looking well lately. (i.e., recently)
• Freddy’s been in high spirits lately.
• Tomi has been getting up to all sorts of mischief lately.

Note: ‘Recently’ can be used in Present Perfect tense and Past tense as well.

• When I met him recently he was OK.