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This is nice. It is a great start on a rich timeline.
Doing a quick read, I found a few errors.
(1) Hardy-Weinberg Equilibrium is not really a theorem in the mathematical sense. It is a mathematical model to determine allele frequency in certain large populations (think about the criteria needed for this model).
(2) Hardy-Weinberg Equilibrium does not provide a measure of relatedness between organisms, nor relatedness between populations.
(3) You cannot use the word prove in discussing scientific findings. Nothing in science is provable; however, an idea can be disproved. Science shows things, or demonstrates things, or provides evidence for things. See where I am going? For instance, you say that Griffith proved that DNA was the genetic material, and then came back and said that Avery proved it, too. First, if something is proved, why do we need to prove it again? Second, neither groups proved that DNA is the genetic material. Each provided evidence that it was to varying degrees of confidence, and caveats.
(4) Watson and Crick did not discover the double helical structure of DNA. Rather, they proposed a model for the structure of DNA in which a double helical structure was a key feature, among several others (antiparallel strands, base pairing, uniform diameter, etc).
Well, that is it for now. Keep at it!
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