On January 30, 2019, NIST announced the 26 candidate algorithms that are advancing to the second round of the NIST Post-Quantum Cryptography (PQC) standardization process. Today, NIST is publishing NIST Internal Report (NISTIR) 8240, Status Report on the First Round of the NIST Post-Quantum Cryptography Standardization Process, which provides details about those candidate algorithms.
See the PQC Standardization page for more information about Round 2.