Question: Charles Krauthammer (; born March 13, 1950) is an American syndicated columnist, author, political commentator, and former physician whose weekly column is syndicated to more than 400 publications worldwide. While in his first year studying at Harvard Medical School, Krauthammer became permanently paralyzed from the neck down after a diving accident, severing the spinal cord at C5. After spending 14 months recovering in a hospital, he returned to medical school, graduating to become a psychiatrist involved in the creation of the Diagnostic and Statistical Manual of Mental Disorders III, and later developing a career as a Pulitzer Prize-winning writer. He was a weekly panelist on PBS news program Inside Washington from 1990 until it ceased production in December 2013.

Krauthammer criticized President George W. Bush's nomination of Harriet Miers to succeed Supreme Court Justice Sandra Day O'Connor. He called the nomination of Miers a "mistake" on several occasions. He noted her lack of constitutional experience as the main obstacle to her nomination.  On October 21, 2005, Krauthammer published "Miers: The Only Exit Strategy", in which he explained that all of Miers's relevant constitutional writings are protected by both attorney-client privilege and executive privilege, which presented a unique face-saving solution to the mistake: "Miers withdraws out of respect for both the Senate and the executive's prerogatives." Six days later, Miers withdrew, employing that argument: "As I stated in my acceptance remarks in the Oval Office, the strength and independence of our three branches of government are critical to the continued success of this great Nation. Repeatedly in the course of the process of confirmation for nominees for other positions, I have steadfastly maintained that the independence of the Executive Branch be preserved and its confidential documents and information not be released to further a confirmation process. I feel compelled to adhere to this position, especially related to my own nomination. Protection of the prerogatives of the Executive Branch and continued pursuit of my confirmation are in tension. I have decided that seeking my confirmation should yield."  The same day, NPR noted, "Krauthammer's scenario played out almost exactly as he wrote." Columnist E.J. Dionne wrote that the White House was following Krauthammer's strategy "almost to the letter". A few weeks later, the New York Times reported that Krauthammer's "exit strategy" was "exactly what happened," and that Krauthammer "had no prior inkling from the administration that they were taking that route; he has subsequently gotten credit for giving [the Bush administration] a plan."

Using a quote from the above article, answer the following question: What was she nominated for?
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Answer: Supreme Court Justice

Problem: Lehrer was born in 1928 to a Jewish family and grew up in Manhattan's Upper East Side. Although he was raised Jewish, Lehrer became an agnostic. He began studying classical piano at the age of seven, but was more interested in the popular music of the age. Eventually, his mother also sent him to a popular-music piano teacher.

Lehrer earned his Bachelor of Arts in mathematics (magna cum laude) from Harvard University in 1946. He received his MA degree the next year, and was inducted into Phi Beta Kappa. He taught classes at MIT, Harvard, Wellesley, and the University of California, Santa Cruz.  He remained in Harvard's doctoral program for several years, taking time out for his musical career and to work as a researcher at the Los Alamos Scientific Laboratory. He was drafted into the U.S. Army from 1955 to 1957, working at the National Security Agency(NSA). (Lehrer has stated that he invented the Jell-O Shot during this time, as a means of circumventing liquor restrictions.) These experiences became fodder for songs, e.g., "The Wild West Is Where I Want to Be" and "It Makes a Fellow Proud to Be a Soldier". Interestingly, it was many years before Lehrer publicly revealed having been assigned to the NSA, since the mere 'fact-of' its existence was classified at the time: this left him in the interesting position of implicitly using nuclear weapons work as as cover story for something more sensitive.  Despite holding a master's degree in an era when American conscripts often lacked a high school diploma, Lehrer served as an enlisted soldier, achieving the rank of Specialist Third Class (later retitled "Specialist-4" and currently "Specialist"), which he described as being a "corporal without portfolio." In 1960, Lehrer returned to full-time studies at Harvard, but in 1965 gave up on his mathematical dissertation about the subject of modes in statistics, after working on it intermittently for 15 years.  From 1962, he taught in the political science department at the Massachusetts Institute of Technology (MIT). In 1972, he joined the faculty of the University of California, Santa Cruz, teaching an introductory course entitled "The Nature of Mathematics" to liberal arts majors--"Math for Tenors", according to Lehrer. He also taught a class in musical theater. He occasionally performed songs in his lectures, primarily those relating to the topic.  In 2001, Lehrer taught his last mathematics class (on the topic of infinity) and retired from academia. He has remained in the area, and in 2003 said he still "hangs out" around the University of California, Santa Cruz.

What did he study at Harvard?

Answer with quotes:
mathematical dissertation about the subject of modes in statistics,