Type | Private |
---|---|
Established | 1760 |
Parent institution | Princeton University |
Dean | David Gabai |
Academic staff | 101 faculty members and researchers (2018–2019) [1] |
Students | 70 undergraduate students 78 graduate students (2018–2019) [2] |
Location | , , United States |
Website | math |
The Princeton University Department of Mathematics is an academic department at Princeton University. Founded in 1760, the department has trained some of the world's most renowned and internationally recognized scholars of mathematics. [3] [4] Notable individuals affiliated with the department include John Nash, former faculty member and winner of the 1994 Nobel Memorial Prize in Economic Sciences; Alan Turing, who received his doctorate from the department; and Albert Einstein who frequently gave lectures at Princeton and had an office in the building. [5] [6] Fields Medalists associated with the department include Manjul Bhargava, Charles Fefferman, Gerd Faltings, Michael Freedman, Elon Lindenstrauss, Andrei Okounkov, Terence Tao, William Thurston, Akshay Venkatesh, and Edward Witten (who began graduate study in the mathematics department before transferring to the physics department). Many other Princeton mathematicians are noteworthy, including Ralph Fox, Donald C. Spencer, John R. Stallings, Norman Steenrod, John Tate, John Tukey, Arthur Wightman, and Andrew Wiles.
Since 2012, the chair of the department has been David Gabai, who was awarded the Oswald Veblen Prize in Geometry in 2004 and was elected into the United States National Academy of Sciences in 2011.
The first courses in mathematics were offered in 1760 when undergraduates enrolled in classes such as algebra, trigonometry, geometry, and conic sections. [7] Walter Minto was one of the earliest teachers of mathematics beginning in 1787. [8] By the beginning of the twentieth century, the department became "one of the world's great centers of mathematical teaching and research." [7] President Woodrow Wilson appointed Henry Burchard Fine as dean of the faculty in 1903 and later as the first chairman of the Department of Mathematics in 1905. The university invited a number of leading mathematics to conduct research at Princeton including Luther P. Eisenhart, Solomon Lefschetz, James W. Alexander II, James Jeans, J.H.M. Wedderburn, George David Birkhoff, Oswald Veblen. In 1928, Princeton created the first research professorship in mathematics in the United States. Research in the field of mathematics also continued to thrive when the Institute for Advanced Study (IAS) was founded in Princeton, New Jersey in 1930. [7] Although the IAS and Princeton remain separate, they have continued to maintain close relations and collaborative projects thanks to their proximity to one another. Students and faculty are able to collaborate with IAS members and attend IAS seminar series. [9]
The political situation in Europe also caused an increased number of immigrants to enter the United States beginning in the 1930s. These scholars included Emil Artin, Valentine Bargmann, and William Feller. Others worked with both the then School of Mathematics and the Institute for Advanced Study to immigrate to the United States, including Albert Einstein, Hermann Weyl, Oskar Morgenstern, John von Neumann, Eugene Wigner, and Paul Erdős. [10] Albert Einstein, although never holding a position at the university, delivered a series of lectures on his theory of relativity in 1921 and continued to hold an office within the Department of Mathematics' building, Fine Hall, named in honor of the first faculty teacher and Princeton's first dean of science, Henry Burchard Fine. [7] The fireplace in the professors' lounge was surmounted by a famous Einstein quote: "God does not play dice with the universe."
In 1968, the department moved to a new Fine Hall (the old building being renamed Jones Hall). [11] The new building features three stories of classrooms and graduate student offices. Another ten floors contain faculty offices, a seminar room, and a professors' lounge. Fine Hall has been described as the "anchor of mathematics" as it was the home of the School of Mathematics. [10] It was then that closer collaboration between the Institute for Advanced Study and Princeton University strengthened. Fine Hall also connects to Jadwin Hall, which is home to additional classroom and academic facilities. The architects of Fine and Jadwin Hall won the Award of Merit in the Architectural Design Award Program in 1966. [12]
Portrait of Albert Einstein at Princeton, 1935 | |
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The Albert Einstein Memorial Lecture is held annually at Princeton on or around Einstein's birthday on March 14. The lecture is free and open to the public. [13] The 24th Annual Albert Einstein Memorial Lecture was dedicated to "Scientific Inquiry and Growth". It featured Nobel Prize Winner Jack Szostak giving a presentation on "The Origin of Life". [14]
The department runs the Program in Applied and Computational Mathematics (PACM), an interdisciplinary and interdepartmental program for scholars interested in the application of mathematics to other fields. The PACM faculty consists of 15 core members, in addition to an executive committee, 34 graduate students, and 30 undergraduate certificate students. [15] The PACM has been at the forefront of research within the field of high-energy physics, notably leading the NSF-funded Institute for Research and Innovation in Software for High Energy Physics (IRIS-HEP), a coalition of 17 research universities that develops computing software for the Large Hadron Collider (LHC) at CERN in Geneva, Switzerland. [16]
The department also co-publishes a bimonthly academic journal, the Annals of Mathematics , with the Institute for Advanced Study. [17] Founded in 1884, the Annals is frequently recognized as one of the top journals in mathematics. [18] [19] [20]
The Women and Mathematics program is co-directed by the department and the IAS. The initiative aims to "recruit and retain more women in mathematics" through its lectures and mentorship program. [21] Sun-Yung Alice Chang, the previous chairperson and first female chair, has taken a personal interest in attracting more women into the field. [22] [23]
A number of individuals affiliated with the department have won international prizes for their research in mathematics, including the Fields Medal, the Wolf Prize, the Henri Poincaré Prize, the Shaw Prize, Goldwater Scholars, and the Fulbright Award. [24] [25] [26] [27] [28] [29]
At the undergraduate level, approximately 70–75 students concentrate in the field. [30] Students complete required courses in real analysis, complex analysis, algebra, geometry, and topology. Like all A.B. candidates at Princeton, students are required to complete a senior thesis based on original and independent research. [31] Students are also permitted to study abroad for a semester or an academic year at one of several internationally recognized institutions including the University of Oxford, the University of Cambridge, Bonn University, the University of Moscow, and the University of Budapest. [32]
The department encourages those interested in pursuing careers to participate in the Principia: The Princeton Undergraduate Mathematics Journal. The journal was founded to promote and encourage research and exposition in mathematics at the undergraduate level. [33] It was one of the first of its kind to be developed by undergraduates and has served as the model for academic journals at other universities. [34]
Ph.D. candidates in the department conduct independent research under supervision of a faculty member. After completing a series of introductory-level courses, graduate students specialize in at least two special or advanced topics within the discipline. Notably, students must demonstrate proficiency in one foreign language (French, German, or Russian), proving their ability to work with mathematical texts from scholars around the world. [35] Graduate students are offered full tuition and student health plan coverage for all five years of the program. They are also able to apply for additional external funding and/or teach courses as Assistants-in-Instruction (AIs). [36]
In both national and international rankings, Princeton places within the top five of universities for the study of mathematics. It is ranked by the U.S. News & World Report as the No. 1 program nationwide, tied only with that of the Massachusetts Institute of Technology, and placed prior to those of Harvard University, Stanford University, and the University of California, Berkeley. Its particular strengths are Algebra, Number Theory, Algebraic Geometry, Geometry, and Topology, as those are the specialties ranked as No. 1. [37] Times Higher Education also places the department as No. 1, qualifying it as a premier institute for mathematics worldwide, seen as ahead of international universities such as the University of Oxford, the University of Cambridge, and ETH Zurich. [38]
The department is home to a number of scholars, researchers, and professors who have continued to be recognized by the international community. The university has been affiliated with 15 Fields Medalists, behind Harvard University (#1 with 18) and the University of Paris (#2 with 16). Some of these scholars include:
Robert Phelan Langlands, is a Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, for which he received the 2018 Abel Prize. He is emeritus professor and occupied Albert Einstein's office at the Institute for Advanced Study in Princeton, until 2020 when he retired.
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Einstein, J. Robert Oppenheimer, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States.
Yang Chen-Ning or Chen-Ning Yang, also known as C. N. Yang or by the English name Frank Yang, is a Chinese theoretical physicist who made significant contributions to statistical mechanics, integrable systems, gauge theory, and both particle physics and condensed matter physics. He and Tsung-Dao Lee received the 1957 Nobel Prize in Physics for their work on parity non-conservation of weak interaction. The two proposed that the conservation of parity, a physical law observed to hold in all other physical processes, is violated in the so-called weak nuclear reactions, those nuclear processes that result in the emission of beta or alpha particles. Yang is also well known for his collaboration with Robert Mills in developing non-abelian gauge theory, widely known as the Yang–Mills theory.
Elias Menachem Stein was an American mathematician who was a leading figure in the field of harmonic analysis. He was the Albert Baldwin Dod Professor of Mathematics, Emeritus, at Princeton University, where he was a faculty member from 1963 until his death in 2018.
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Juan Martín Maldacena is an Argentine theoretical physicist and the Carl P. Feinberg Professor in the School of Natural Sciences at the Institute for Advanced Study, Princeton. He has made significant contributions to the foundations of string theory and quantum gravity. His most famous discovery is the AdS/CFT correspondence, a realization of the holographic principle in string theory.
Nima Arkani-Hamed is an Iranian-American-Canadian theoretical physicist, with interests in high-energy physics, quantum field theory, string theory, cosmology and collider physics. Arkani-Hamed is a member of the permanent faculty at the Institute for Advanced Study in Princeton, New Jersey. He is also director of the Carl P. Feinberg Cross-Disciplinary Program in Innovation at the Institute and director of The Center for Future High Energy Physics (CFHEP) in Beijing, China.
Albert William Tucker was a Canadian mathematician who made important contributions in topology, game theory, and non-linear programming.
The Courant Institute of Mathematical Sciences is the mathematics research school of New York University (NYU). Founded in 1935, it is named after Richard Courant, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972, and serves as a center for research and advanced training in computer science and mathematics. It is located on Gould Plaza next to the Stern School of Business and the economics department of the College of Arts and Science.
Henry Burchard Fine was an American university dean and mathematician.
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Licia Verde is an Italian cosmologist and theoretical physicist and currently ICREA Professor of Physics and Astronomy at the University of Barcelona. Her research interests include large-scale structure, dark matter, dark energy, inflation and the cosmic microwave background.
Rachel Ward is an American applied mathematician at the University of Texas at Austin. She is known for work on machine learning, optimization, and signal processing. At the University of Texas, she is W. A. "Tex" Moncrief Distinguished Professor in Computational Engineering and Sciences—Data Science, and professor of mathematics.
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