Rabbi Shlomo Eliyahu Miller is a Rosh Kollel (dean) of the Kollel Avreichim Institute for Advanced Talmud Study, the leading haredi post-yeshiva educational institution in Toronto and head of its Beis Din (Rabbinical court). He is the foremost Litvish Haredi Posek (decisor of Rabbinic law) in Toronto, and a prominent Litvish Posek in North America.
Rabbi Miller has been chosen to head the Beis Din of the Va'ad Harabonim of Lakewood (Association of Rabbis) of Lakewood, NJ and heads a Kollel there as well. He is a close friend of Rabbi Avraham Bromberg. In the Haredi community, many view Rabbi Miller as a strong opponent of any weakening of the rule of Halacha (Rabbinic law).
Rabbi Miller was one of the signatories to the ruling forbidding changing the temperature of Shabbos Mode ovens on Yom Tov, alleging that Rabbi Moshe Heinemann was the sole Haredi authority to permit it.
Rabbi Miller wrote a letter voicing his support of the controversial ban of Rabbi Natan Slifkin's books by a number of prominent rabbis. His defense of the rabbis and the ban, was itself controversial, as evidenced by the responses it generated. Rabbis Miller and Slifkin met in Toronto in December 2007. Rabbi Slifkin reported that, despite their “strong disagreements,” they had “a very pleasant conversation” in “a nice, polite atmosphere.” Rabbi Slifkin noted, however, that nothing was resolved.
Rabbi Miller investigated the claim that the sea snail Murex trunculus was the source of the biblical techeiles. In a letter on the subject, he wrote that he believes that there are several Talmudic proofs that the Murex is not the creature from which techeiles is produced, and that the evidence in support of the claim is insufficient to overcome these points. Prominent techeiles researcher Yisroel Barkin authored a comprehensive disputation of Rabbi Millers' letter.
Rabbi Miller was the head of the beis din that ruled that Ted Floyd who assumed the name Natan Levy retained the status of a non-Jew and that his wife was Jewish and not complicit in his subterfuge.