Yes, adverbs can come after a gerund phrase, but they typically modify the main verb of the sentence, not the gerund itself. Here’s how it works:

Adverb Modifying the Main Verb:

Running every morning quickly improves your stamina.

Running every morning (gerund phrase acting as the subject)

quickly (adverb modifying the main verb “improves”)

Adverb Within the Gerund Phrase:

Running quickly every morning is challenging.

Running quickly every morning (gerund phrase acting as the subject)

Running (gerund)

quickly (adverb modifying the gerund “Running”)

every morning (adverbial phrase modifying “Running”)