die Genialität
genius
The quality of being exceptionally intelligent, creative, or inventive; an outstanding intellectual gift.
Die Genialität seiner Lösung beeindruckte alle Ingenieure.
The genius of his solution impressed all the engineers.

genius
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genius
The quality of being exceptionally intelligent, creative, or inventive; an outstanding intellectual gift.
Die Genialität seiner Lösung beeindruckte alle Ingenieure.
The genius of his solution impressed all the engineers.

Careful: 'Genialität' (genius) means exceptional intelligence or creativity. It should not be confused with the English word 'geniality', which describes friendliness and cheerfulness.
Die Genialität von Albert Einstein ist unbestritten.
The genius of Albert Einstein is undisputed.
'Genialität' (genius) is the noun corresponding to the adjective 'genial' (brilliant/genius). The ending '-ität' is often used to form abstract nouns from adjectives that describe a quality.
Er hatte eine geniale Idee zur Lösung des Problems.
He had a brilliant idea for solving the problem.
The word is very often used with a genitive or the preposition 'von' (of/by) to specify whose genius is meant or what it consists in.
Die Genialität des Plans zeigte sich erst später.
The genius of the plan only became apparent later.
talent
'das Talent' and 'die Genialität' both describe a special ability. 'Talent' is more general and can also mean a single gift in one area, for example for music, languages, or sports. 'Genialität' is stronger and means an exceptional intellectual or creative gift. The word fits especially when someone has very new, clever, or impressive ideas. A talent can be great, but 'Genialität' sounds like something outstanding.

In seinen Erfindungen zeigte sich die Genialität des jungen Forschers.
The genius of the young researcher's inventions was clear.
Ich bewundere ihr Talent, in kurzer Zeit neue Sprachen zu lernen.
I admire her talent for learning new languages in a short time.