Question: Dusky v. United States and Zelman v. Simmons-Harris are both what cases?

Context paragraphs:
Freedom of movement under United States law: Freedom of movement under United States law is governed primarily by the Privileges and Immunities Clause of the United States Constitution which states, "The Citizens of each State shall be entitled to all Privileges and Immunities of Citizens in the several States."  As far back as the circuit court ruling in "Corfield v. Coryell," 6 Fed.  Cas.  546 (1823), freedom of movement has been judicially recognized as a fundamental Constitutional right.  In "Paul v. Virginia," 75 U.S. 168 (1869), the Court defined freedom of movement as "right of free ingress into other States, and egress from them."  However, the Supreme Court did not invest the federal government with the authority to protect freedom of movement.  Under the "privileges and immunities" clause, this authority was given to the states, a position the Court held consistently through the years in cases such as "Ward v. Maryland," 79 U.S. 418 (1871), the "Slaughter-House Cases," 83 U.S. 36 (1873) and "United States v. Harris," 106 U.S. 629 (1883).

Criminal law in the Taney Court: The Taney Court (1836–1864) heard thirty criminal law cases, approximately one per year.  Notable cases include "Prigg v. Pennsylvania" (1842), "United States v. Rogers" (1846), "Ableman v. Booth" (1858), "Ex parte Vallandigham" (1861), and "United States v. Jackalow" (1862).

Same-sex marriage in the Sixth Circuit: On April 28, 2015, the Supreme Court of the United States heard oral arguments for "Obergefell v. Hodges" (Ohio), which was consolidated with three other same-sex marriage cases from the other states in the Sixth Circuit: "Tanco v. Haslam" (Tennessee), "DeBoer v. Snyder" (Michigan), "Bourke v. Beshear" (Kentucky).  On June 26, 2015 the Supreme Court reversed the Sixth Circuit's decision, paving the way for same-sex marriage to become legal in those states, and setting a precedent for the entire nation.  All four states complied with the ruling the same day it was issued before the mandate was actually issued.  Every state in the circuit had a district court ruling against their states' ban, but they were eventually stayed pending appeal.  The Sixth Circuit consists of Kentucky, Michigan, Ohio, and Tennessee.  On August 6, 2014, the Sixth Circuit heard oral arguments for same-sex marriage cases from each state within the circuit.  On November 6, 2014, the Sixth Circuit in a split 2-1 decision, upheld the states' same-sex marriage bans, reversing the district courts' rulings that struck them down.  The Sixth Circuit was the first and only circuit court since the landmark ruling "United States v. Windsor" to uphold the constitutionality of states' same-sex marriage bans which caused a circuit split.

Criminal law in the Waite Court: During the tenure of Morrison Waite as Chief Justice of the Supreme Court of the United States (March 4, 1874 through March 23, 1888), the Supreme Court heard an unprecedented volume and frequency of criminal cases.  In just fourteen years, the Court heard 106 criminal cases, almost as many cases as the Supreme Court had heard in the period from its creation to the appointment of Waite as Chief Justice.  Notable cases include "United States v. Cruikshank" (1875), "United States v. Reese" (1875), "Reynolds v. United States" (1878), "Wilkerson v. Utah" (1879), the "Trade-Mark Cases" (1879), "Strauder v. West Virginia" (1880), "Pace v. Alabama" (1883), "United States v. Harris" (1883), "Ex parte Crow Dog" (1883), "Hurtado v. California" (1884), "Clawson v. United States" (1885), "Yick Wo v. Hopkins" (1886), "United States v. Kagama" (1886), "Ker v. Illinois" (1886), and "Mugler v. Kansas" (1887).

Legal Tender Cases: The Legal Tender Cases were a series of United States Supreme Court cases in the latter part of the nineteenth century that affirmed the constitutionality of paper money.  In the 1869 case of "Hepburn v. Griswold", the Court had held that declaring paper notes to be legal tender in payment of debts existing prior to the Legal Tender Act of 1862 violated the United States Constitution.  In the "Legal Tender Cases", the Court overruled "Hepburn", beginning with "Knox v. Lee" and "Parker v. Davis" in 1871, and then "Juilliard v. Greenman" in 1884.

Criminal law in the Marshall Court: The Marshall Court (1801–1835) heard forty-one criminal law cases, slightly more than one per year.  Among such cases are "United States v. Simms" (1803), "United States v. More" (1805), "Ex parte Bollman" (1807), "United States v. Hudson" (1812), "Cohens v. Virginia" (1821), "United States v. Perez" (1824), "Worcester v. Georgia" (1832), and "United States v. Wilson" (1833).

Zelman v. Simmons-Harris: Zelman v. Simmons-Harris, 536 U.S. 639 (2002) , was a 5-4 decision of the United States Supreme Court that upheld an Ohio program that used school vouchers.  The Court decided that the program did not violate the Establishment Clause of the First Amendment even if the vouchers could be used for private, religious schools.

Dusky v. United States: Dusky v. United States, 362 U.S. 402 (1960) , was a landmark United States Supreme Court case in which the Court affirmed a defendant's right to have a competency evaluation before proceeding to trial.  The Court outlined the basic standards for determining competency.

Adjudicative competence: Adjudicative competence, also referred to as competence to stand trial, is a legal construct describing the criminal defendant's ability to understand and participate in legal proceedings.  This includes the defendant's current ability to participate in various pleas and waivers of rights.  It is unrelated to any possibility of an insanity plea.  It is also unrelated to the ability of the defendant to represent himself, or to any evaluation of mitigation factors.  The definition of adjudicative competence was provided by the United States Supreme Court in Dusky v. United States.

Stephen Halbrook: Stephen P. Halbrook is a Senior Fellow at the Independent Institute and an author and lawyer known for his litigation on behalf of the National Rifle Association.  He has written extensively about the original meanings of the Second Amendment and the Fourteenth Amendment (the latter as applied to Second Amendment rights).  He has argued and won three cases before the US Supreme Court: "Printz v. United States", "United States v. Thompson-Center Arms Company", and "Castillo v. United States".  He has also written briefs in many other cases, including the Supreme Court cases "Small v. United States" (pertaining to the Gun Control Act of 1968) and "McDonald v. Chicago".  In "District of Columbia v. Heller", he wrote a brief on behalf of the majority of both houses of Congress.  More broadly, his decades of research on the Second Amendment contributed to the intellectual foundation of the "Heller" decision.  He has written many books and articles on the topic of gun control, some of which have been cited in Supreme Court opinions ("Heller", "McDonald", "Printz v. United States").  He has testified before congress on multiple occasions.  Halbrook’s most important scholarly contribution, however, was the book "That Every Man Be Armed", originally published in 1986.  The book was the most thorough analysis of the legal history and original intent of the Second Amendment.

Supporting paragraphs: Dusky v. United States Zelman v. Simmons-Harris
Answer: Court