adverbialist
An adverbialist is a person who specializes in adverbs and adverbials—the words and phrases that modify verbs, adjectives, or other modifiers. The label is not common in formal linguistics; scholars typically describe this area as adverbial syntax, adverbs in discourse, or the study of adverbials. Nevertheless, the term communicates a focus on how adverbs function, their distribution, meaning, and contribution to sentence structure and discourse.
Etymology and scope: The word derives from adverbium, Latin for 'toward the verb,' plus the agentive suffix
Applications: In scholarship, education, lexicography, and stylistics, adverbials receive attention for their frequency, distribution, and stylistic
In summary, adverbialist is a descriptive label for someone with a sustained interest in adverbs and adverbials.