Rav Soloveitchik ZL discusses the relationship between the Parshiyos of Shelach, Korach and Chukas, as well as many of the events in the Parsha: link 1 (audio), link 2 (audio)
R Mosheh Lichtenstein discusses the leadership of Moshe Rabbeinu and the transmission of leadership: link
R Berel Wein discusses why the Parah Adumah is representative of Mitzvos that are beyond human comprehension: link
R Michael Rosensweig illustrates the importance of Chukim in Torah study and commitment, and why Kiddush HaShem is a paramount element of national leadership: link 1, link 2
R Zvi Sobolofsky suggests that Parah Adumah reminds us of subjugation of man to the divine Will: link
R Yissocher Frand suggests why Halachos rooted in Tumaah and Taharah defy our understanding: link
The Nesivos Shalom, as explicated by R Yitzchak Adlerstein, explains why the teshuvah of Klal Yisrael after the plague of serpents needed the creation of the copper serpent: link
R Yitzchak Etshalom analyzes the episode of Mei Merivah: link
R Shlomoh Riskin contrasts the roles and purposes of the Korban Pesach and Parah Adumah: link
R Ephraim Buchwald contrasts the mourning of Klal Yisrael for Aharon HaKohen and Moshe Rabbeinu: link, and the unique nature of the well of Miriam HaNeviah: link
R Asher Brander analyzes the views of many Mfarshim as to the exact nature of the transgression of Moshe Rabbeinu at Mei Mrivah: link
R Sir Jonathan Sacks demonstrates the unique symbolic qualities of the Parah Adumah: link
R Beinish Ginsburg discusses the commentaries of Netziv and R Samson Raphael Hirsch on the Parah Adumah: link 1 (audio), link 2 (audio)
R Azyarya Berzon explores the commentary of Ramban to this week’s Parsha: link (audio); and learning Torah Shelo Lishmah: link 2 (audio)
R David Horwitz discusses the explanation of Ramabam in the Moreh Nevuchim of the transgression of Moshe Rabbeinu at Mei Mrivah: link (audio)
R Herschel Shachter underscores the role of ego and humility in the mitzvah of Talmud Torah: link, the sprinkling on the third and seventh days and Sof Tumaah LaTzes: link (audio)
R Asher Weiss ,R Dovid Gottlieb , and Aryeh Leibowitz analyze whether Kivrei Tzadikim are Mtameh: link (audio), and whether a Kohen may enter a cemetery: link 1 (audio), link 2 (audio)
R Dovid Gottlieb compares Shiras HaYam with Shiras Beer , Mayim: link (audio); and whether Kvurah is mandatory: link (audio)
R Avigdor Nevenzal discusses the well known comment of Rashi at the very beginning of this week’s Parsha: link
R Baruch Simon, based on the Shem MiShmuel, discusses the concept of latent Kedusha: link (audio)