The Church of Jesus Christ of Latter Day Saints does teach and its members testify that a prophet was called and chosen to lead the process of restoring the church of Christ and the truths of the everlasting gospel. Joseph Smith's story can be read at this link.
With this appearance and subsequent visits by divine messengers the process of revelation from God began again. Authority to act in God's name was conferred upon Joseph Smith by priesthood ordination through Peter, James and John.
For the next 30 some years the Lord would lay the foundation of a great work that would eventually fill the earth with a young man, Joseph Smith as his prophet. He was persecuted his entire life after telling his story but remained undeterred in his commitment to his testimony until he was murdered.