[2] From 2009 and 2011, Baude was an associate at the Washington, D.C., law firm Robbins, Russell, Englert, Orseck, Untereiner & Sauber LLP (now part of Kramer Levin Naftalis & Frankel).

[10] He also co-hosts a podcast, Divided Argument, with law professor Daniel Epps on which they discuss recent Supreme Court decisions.

[12][13] In 2021, Baude, together with fellow faculty members David A. Strauss and Alison LaCroix, was appointed by President Joe Biden to the Presidential Commission on the Supreme Court of the United States.

[15] Along with Jud Campbell of Stanford University, Baude is the co-author of the on-line Early American Constitutional History: A Source Guide.

[16] In August 2023, Baude and legal scholar Michael Stokes Paulsen released an article entitled "The Sweep and Force of Section Three", later published in the University of Pennsylvania Law Review, arguing that Section Three of the Fourteenth Amendment to the United States Constitution disqualified Donald Trump from holding political office in the United States because of his participation in the attempt to overturn the election of Joe Biden as president.

[17] Legal scholars J. Michael Luttig and Laurence Tribe concurred in their article published in The Atlantic on August 19,[18] and on the same date, so did historian Heather Cox Richardson.