Original sentence: The school is part of a worldwide network of schools named after Rabbi Joseph Isaac Schneerson, the previous Lubavitcher Rebbe, and continues to run under the official auspices of his successor, Rabbi Menachem Mendel Schneerson
Edited sentence: The school is part of a worldwide network of schools named after Rabbi Joseph Isaac Schneerson, the previous Lubavitcher Rebbe, and continued to run under the official auspices of his successor, Rabbi Menachem Mendel Schneerson