Just looking for a brief explanation of what cryptography is used and where/how it is used in Monero. Thanks :)
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Similar question here: http://monero.stackexchange.com/questions/694/what-cryptographic-assumptions-is-monero-based-on – seek adventure Nov 30 '16 at 23:34
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This Wiki article on CryptoNote explains it better than anyone could do in the confines of a Stackexchange reply.
The Proof-of-Work algorithm is called CryptoNight and has several distinct differences/improvements over the earlier SHA256 algorithm used by Bitcoin and clones.
edit: This looks more like an actual specification
Roy Prins
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1Monero uses ed25519 to synthesize a public key from a private key. Bitcoin uses secp256k1 to synthesize a public key from a private key. – skaht Dec 01 '16 at 01:58