Crossword Genius

Was ringing in ears troubling Greek mathematician? (10)

Ross

I believe the answer is:

archimedes

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'greek mathematician?' is the definition.
(ancient Greek mathematician)

'was ringing in ears troubling' is the wordplay.
'was ringing' becomes 'chimed' (I can't explain this - if you can you should believe this answer much more).
'in' is an insertion indicator.
'troubling' is an anagram indicator (letters damaged or in trouble).
'ears' anagrammed gives 'ares'.
'chimed' put inside 'ares' is 'ARCHIMEDES'.

Can you help me to learn more?

(Other definitions for archimedes that I've seen before include "Old mathematician" , "Old scientist" , "Ancient Greek mathematician/inventor" , "Greek mathematician and inventor" , "Ancient Greek scientist (of buoyancy principle)" .)

I've seen this clue in The Independent.
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