Ptolemy XIII was the penultimate member of his dynasty, he became king of Egypt in 47 BCE after his older brother Ptolemy XII. He was brother and husband of Cleopatra until he was assainated by by Cleopatra in 44 BCE.

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... I would give to someone coming up for a maths interview is to read thoughtfully a book on maths (e.g. "What is Mathematics?" by Courant, Robbins and Stewart). Then think ...