R. Yom Tov b. Israel Jacob Algazi (1727–1802), noted kabbalist and halakhist, studied with his father and was a close friend of the HIDA. Both studied under R. Jonah Navon and R. Shalom Sharabi. R. Algazi was a member of the Ahavat Shalom group of kabbalists and signed its articles of association in 1754, 1758, and 1759. He was a member of bet ha-midrash Neveh Shalom and of Bet El. R. R. Shalom Sharabi succeeded Algazi's father as head of the kabbalists' yeshivah, but R. Yom Tov Algazi administered it. Following R. Sharabi's death in 1782 he was elected rabbi and dayyan and in c. 1777 he became rishon le-Zion. The period of his office was a difficult one for the Jews of Jerusalem who were vexed by the authorities. R. Algazi's leadership, influence, and fame in the Diaspora guided the community through troubled times. In 1764 he accompanied R. Abraham b. Asher and HIDA on a mission, on behalf of the Pekidei Erez Israel be-Kushta ("Agents for Erez Israel in Constantinople"). From 1770 to 1775 he was sent on other missions from Jerusalem to Constantinople, Adrianople, and Belgrade. He traveled in Italy, France, Holland, Germany, and Poland and returned to Jerusalem (1777) via Italy and Smyrna. His works are distinguished by their sharpness and depth.

דף [2]: הקדמת ר' חיים אברהם גאגין. בספר שבועות גם הערותיו (מוקפות בסוגריים). דף א, א -סח, א: קדושת יום טוב, שאלות ותשובות וחידושים על משנה תורה להרמב"ם. דף סח, א - סט, ב: דעת להשאל, שאלות ותשובות מאת אבי המחבר, ר' ישראל יעקב אלגאזי. דף ע, א - פח, א: יום טוב דרבנן, אלו הדרשות אשר נמצאו בכתב י"ק מהרב יו"ט אלגאזי נ"ע זיע"א.