what is the presidents most direct influence on the supreme court
U.S. Congress in relation to the president and Supreme Court The Constitution entrusts certain powers to the Senate alone. The President may only nominate for appointment Cabinet officials, judges, and other high officers "by and with the advice and consent" of the Senate. The Senate confirms most presidential nominees, but rejections are not uncommon. Furthermore, treaties negotiated by the President must be ratified by a two-thirds majority vote in the Senate to take effect. As a result, presidential arm-twisting of senators can happen before a key vote; for example, President Obama's secretary of state, Hillary Clinton, urged her former senate colleagues to approve a nuclear arms treaty with Russia in 2010.[10] The House of Representatives has no formal role in either the ratification of treaties or the appointment of federal officials, other than filling vacancies in the office of Vice-President; a vote in each House is required to confirm a president's nomination for vice-president if a vacancy happens.[11]
Supreme Court of the United States The Supreme Court of the United States is the highest federal court of the United States. Established pursuant to Article Three of the United States Constitution in 1789, it has ultimate (and largely discretionary) appellate jurisdiction over all federal courts and state court cases involving issues of federal law plus original jurisdiction over a small range of cases. In the legal system of the United States, the Supreme Court is generally the final interpreter of federal law including the United States Constitution, but it may act only within the context of a case in which it has jurisdiction. The Court may decide cases having political overtones but does not have power to decide nonjusticiable political questions, and its enforcement arm is in the executive rather than judicial branch of government.
Alonso Álvarez de Pineda
Article Three of the United States Constitution Section 2 delineates federal judicial power, and brings that power into execution by conferring original jurisdiction and also appellate jurisdiction upon the Supreme Court. Additionally, this section requires trial by jury in all criminal cases, except impeachment cases.