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Liane Xu received the honor of a named fellowship
Every year, extraordinary students are chosen to receive their graduate support from a named graduate fellowship. Liane was chosen to receive such a fellowship for the current 2023-24 academic year through The A. Watson Armour, III '33 Centennial Fellowship, supported by Mrs. Whitney Addington. Congratulations to Liane on receiving the honor of a named fellowship!
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Inbox remembering grad admission in the ’60s.
I applied to graduate school at Princeton, aiming for a bridge program between psychology and mathematics. On April 1, 1965, I received two envelopes with Princeton return addresses. The first was a letter from Harold Gulliksen, professor in the psychology department and director of the psychometric program, telling me that I had been awarded an ETS Psychometric Fellowship that would cover all of my expenses in attending Princeton, conditioned, of course, on my being accepted by the University. Then I opened the second envelope that was the University telling me that I had been put on the wait list for acceptance.
I sighed and began to make plans to respond to an offer that had previously been my second choice. But for a week I did nothing. Then I received a phone call from Professor Gulliksen. He explained that I was his first choice, but if I was not going to accept the fellowship, he would like to know as soon as possible so that he could inform the first alternate. I told him that while I would very much like to have accepted, I had been wait-listed by the University. He seemed surprised and asked me to wait by the phone. I did and 15 minutes later he called back and said, “You’ve been accepted. Will you come?” I said, “Yes” and it turned out to be perhaps the best decisions I ever made. With a fortnight I received a letter from the University confirming my acceptance. It too was dated April 1, 1965.
Alexander Yu. Olshanskii
A.Yu. Olshanskii is a Centennial Professor at the Department of Mathematics of Vanderbilt University. Before joining Vanderbilt University, he was a Professor of Mathematics in Moscow State University. His research expertise is mostly in combinatorial and geometric group theory although he has made significant contributions to other areas (finite groups and Lie algebras, in particular). There are very few specialists in group theory whose contributions to the modern understanding of group theory is comparable to Olshanskii's. He solved several key problems in group theory including
- B.H. Neumann's problem about existence of non-finitely based varieties of groups,
- Shmidt-Tarski's problem about existence of infinite non-cyclic groups with all proper subgroups cyclic of prime order,
- von Neumann's problem about existence of non-amenable groups without free non-cyclic subgroups,
- Gromov's problem about existence of infinite quotients of finite exponent for non-elementary hyperbolic groups,
- Gromov's problem about possible distortions of subgroups of finitely presented groups.
Olshanskii's geometric method of graded van Kampen diagrams allowed him and his students to solve many other old and well-known problems in group theory. This includes the solution of Burnside problem for even exponents by S. Ivanov, a former student of Olshanskii, and a construction of a finitely generated non-trivial divisible group by V. Guba, another former student of Olshanskii. The latest applications of his method were a construction of a finitely presented non-amenable group without free non-abelian subgroups (by A.Yu. Olshanskii and M. V. Sapir), and the construction of an infinite finitely generated group with exactly two conjugacy classes (by D. Osin, also a former student of Olshanskii).
Many of the monster groups constructed by Olshanskii and his students are, in modern terms, inductive limits of Gromov-hyperbolic groups. Hyperbolicity plays an important role in Olshanskii's method, and several well known facts about Gromov-hyperbolic groups can be traced back to papers of Olshanskii. After hyperbolic groups were formally introduced into group theory by Gromov, Olshanskii established several key facts about them including the (strong) genericity of hyperbolic groups (conjectured by Gromov), SQ-universality of non-elementary hyperbolic groups, and others.
A.Yu. Olshanskii has more than 20 PhD students . He wrote a very influential book Geometry of defining relations in groups , and several big survey papers. He was an invited speaker at the ICM in Warsaw, 1982, and many other international conferences. Olshanskii is a recipient of several prizes including the Malcev's prize of the Russian Academy of Sciences, Kargapolov prize, and the prize of the Moscow Mathematical Society.
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The Mathematics Graduate School at Princeton University offers a rigorous and diverse program of study and research in various branches of pure and applied mathematics. Learn about the admission requirements, deadlines, fees, tuition, courses, and faculty of this prestigious institution.
Note: GREs, both general and subject test scores, will not be accepted for Fall 2024 admissions. Program Length: Four years; however, a fifth year is usually granted if approved in advance. If your interest is in applied and computational mathematics, you must apply directly to the Program in Applied and Computational Mathematics (PACM).
The Department of Mathematics offers graduate courses on various levels, all of which are oriented toward research. There are numerous seminars that encourage research even more directly. The content of courses varies considerably from year to year, and the course descriptions below should be read only as a rough guide. ... Princeton NJ 08544 ...
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The Program in Applied and Computational Mathematics offers a select group of highly qualified students the opportunity to obtain a thorough knowledge of branches of mathematics indispensable to science and engineering applications, including numerical analysis and other computational methods. ... Princeton University Graduate School Clio Hall ...
Princeton University's Department of Mathematics is recognized as one of the premier centers of mathematical learning and research worldwide. An illustrious history, distinguished faculty, and diverse student body all contribute to the vibrant academic and intellectual life within the department. Our faculty is composed of leading scholars who ...
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Graduate Course Catalogue. MAT500 Effective Mathematical Communication. MAT509 Topics in Logic and Foundations: Computational Complexity. The focus of the course will be consistency proofs. Discussion of why Gödel's second incompleteness theorem does not preclude a finitary consistency proof for Peano Arithmetic (PA).
Welcome to the Program in Applied & Computational Mathematics. More About Us. Latest News. April 11, 2024. Tung Nguyen awarded Porter Ogden Jacobus Fellowship ... February 23, 2024. Alex Damian awarded Jane Street 2024 Graduate Research Fellowship Read Article. See More News. Upcoming Events. April 11 Analysis of Fluids and Related Topics ...
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 ...
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On the graduate level, the program offers a select group of highly qualified students the opportunity to obtain a thorough knowledge of branches of mathematics indispensable to science and engineering applications, including numerical analysis and other computational methods. ... Equal Opportunity and Nondiscrimination at Princeton University: ...
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The course is organized in independent two-week modules focusing on particular applications, such as bar codes, CD-players, population models, and space flight. The emphasis is on ideas and mathematical reasoning, not on sophisticated mathematical techniques. Two 90-minute classes, one computer laboratory. MAT 201.
1 / 1. ︎. The mathematical physics group is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics ...
I recieved my PhD from Princeton University in 2021, where I was very fortunate to be advised by Charles Fefferman. I have also spent time at MIT's Laboratory for Information and Decision Systems, the Max Planck Institute for Mathematics in the Sciences, as well as at the research labs of Facebook (FAIR), Google and Microsoft.
A database of the general examinations taken by graduate students in the Princeton University Mathematics Department. Standard Questions Updated Fall 2013! General info. Princeton Math. Math German Word List. Happy April 1, 2022 to Windows and Mac users! Happy April 2nd (or any other normal day) to Linux and mobile users unless you installed a ...
The requirements for the certificate in applied and computational mathematics consist of: A total of five courses, normally 300-level or higher (requires letter grade; pass/D/fail not accepted), at least two of which are not included in the usual requirements for the candidate's major. Independent work consisting of a paper in one of the ...
Princeton graduate alumnus Avi Wigderson has won the 2023 A.M. Turing Award from the Association for Computing Machinery (ACM), recognizing his profound contributions to the mathematical underpinnings of computation. ... "Mathematics is foundational to computer science and Wigderson's work has connected a wide range of mathematical sub ...
Every year, extraordinary students are chosen to receive their graduate support from a named graduate fellowship. Liane was chosen to receive such a fellowship for the current 2023-24 academic year through The A. Watson Armour, III '33 Centennial Fellowship, supported by Mrs. Whitney Addington. Congratulations to Liane on receiving the honor of a named fellowship!
Next year, I will start a math PhD… | Learn more about Igor Medvedev's work experience, education, connections & more by visiting their profile on LinkedIn. ... Princeton, New Jersey, United States.
Remembering Grad Admission in the '60s. I applied to graduate school at Princeton, aiming for a bridge program between psychology and mathematics. On April 1, 1965, I received two envelopes with Princeton return addresses. The first was a letter from Harold Gulliksen, professor in the psychology department and director of the psychometric ...
Ginzburg began helping graduate students in mathematics make that transition at the University nearly a decade ago. His mentoring skills have now earned him a 2006 Faculty Award for Excellence in Graduate Teaching. "The main point in math is to find a problem," Ginzburg says. But finding the right problem often poses a major problem in ...
A.Yu. Olshanskii is a Centennial Professor at the Department of Mathematics of Vanderbilt University. Before joining Vanderbilt University, he was a Professor of Mathematics in Moscow State University. His research expertise is mostly in combinatorial and geometric group theory although he has made significant contributions to other areas ...