The latest version of bitcoin-ts [https://github.com/bitauth/bitcoin-ts] now includes support for signing and verifying Schnorr signatures over the secp256k1 curve. Schnorr functionality has been added to the library’s Secp256k1 [https://bitauth.github.io/bitcoin-ts/interfaces/secp256k1.html] WebAssembly interface [https://bitauth.github.io/bitcoin-ts/interfaces/secp256k1.
Bitcoin, Bitcoin Cash, and most other cryptocurrencies use the Elliptic Curve Digital Signature Algorithm (ECDSA) [https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm] to authenticate transactions. ECDSA can be used with a number of different elliptic curves [https://en.wikipedia.org/wiki/Elliptic-curve_cryptography], and Bitcoin’s creator
My (long) talk about Bitauth at the Atlanta Blockchain January 2017 Meetup. For a written summary, see the Bitauth2017 specification [https://github.com/bitauth/bitauth2017/blob/master/bips/0-bitauth.mediawiki]. Part 1 Authenticating Bitcoin Transactions [https://youtu.be/fJGZ44I_FHE?t=3m41s] (slide →) [https://bitauth.bitjson.com/#/1] Part 2