Willig is the author of a sefer entitled Am Mordechai, which came out in three volumes (1992 on Brachot, 2005 on Shabbat and 2010 on Seder Moed).
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He is often known to his students as the Ramu (רמ"ו), which is the transliteration of the acronym of the Hebrew letters Reish, Mem, and Vav, which spell out the first letters of Rav Willig's name (Rabbi Mordechai Willig = רב מרדכי וויליג).
Mordechai Vanunu | Moshe Mordechai Epstein | Yitzhak Mordechai | Mordechai Willig | Mordechai Elon | Sholom Mordechai Schwadron | Mordechai Tzipori | Mordechai Shatner | Mordechai Liebling | Mordechai Gur | Mordechai Gebirtig | Mordechai ben Hillel | Mordechai Ben David | Mordechai Ben-Ari | Mordechai Anielewicz |
Morning Seder: Rosh Yeshiva Rabbi Avishai David, Rabbi Moshe Nechemiah Reichman (son of Rabbi Hershel Reichman), Rabbi Avraham Lubarsky, Rabbi Moshe Willig (son of Rabbi Mordechai Willig), Rav David Shamula, Rabbi Avi Schneider, Rabbi Judah Goldshmidt, Rabbi Dr. Howard Apfel, Rabbi Andi Yudin.
Some credit this popularity to his ability to blend the teaching styles of his two teachers, Rabbi Mordechai Willig and Rabbi Hershel Schachter.