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Mathematics

Field Description

The graduate program in the field of mathematics at Cornell leads to the Ph.D. degree, which takes most students five to six years of graduate study to complete. One feature that makes the program at Cornell particularly attractive is the broad range of interests of the faculty. In addition to the usual areas of algebra, analysis and geometry, the department has outstanding groups in the areas of algebraic geometry, combinatorics, dynamical systems, logic, Lie groups, and partial differential equations, including their numerical treatment. The field also maintains close ties with distinguished graduate programs in the fields of applied mathematics, computer science, operations research, and statistics.

The field of mathematics requires that you pass a test of basic mathematical reading ability in one language other than English. The allowed languages are French, German, Russian, Chinese, Japanese, Spanish, and Portuguese, regardless of whether any of these is your native tongue. However, to ensure maximal relevance to your research area, your choice of language must be approved by your thesis advisor (special committee chair); if he/she has no opinion you may make your own choice.

Candidates must have some teaching experience prior to graduation, a one-semester appointment as a teaching assistant is the department minimum requirement.

Students seeking a minor in mathematics should contact the Director of Graduate Studies. A course work master's degree in computer science is available to students in the Ph.D. program in mathematics. Details are available from the graduate field office.

Application:
Applicants must have completed the work for an undergraduate degree in mathematics. That work should have included a rigorous course in advanced calculus and real variable theory that will serve as an introduction to measure theory. The student should also have some familiarity with applications of advanced calculus and should have had courses in linear algebra and modern abstract algebra at an advanced level. Applicants are required to submit GRE general and mathematics subject test scores; scores need to be reported by January 4. Non-native English speaking applicants must also submit minimum TOEFL scores of Writing: 20, Listening: 15, Reading: 20, and Speaking: 22 (Internet-based test).

Contact Information

Website: http://www.math.cornell.edu
Email: gradinfo@math.cornell.edu
Phone: 607 254-8993

316 Malott Hall
Cornell University
Ithaca, NY  14853

Subject and Degrees

Concentrations by Subject

Mathematics

  • mathematics

Faculty

Marcelo Aguiar - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: Algebra, Combinatorics, Category Theory
Concentrations: Mathematics: mathematics Research Interests: representation theory of reductive Lie groups
Yuri Berest - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: PDE; algebra; mathematical physics
Concentrations: Mathematics: mathematics Research Interests: geometric and algebraic combinatorics
David S. Bindel - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: applied numerical linear algebra and scientific computing
Concentrations: Mathematics: mathematics Research Interests: algebra; topology; group theory
Xiaodong Cao - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: differential geometry; geometric analysis; nonlinear parabolic equations
Stephen Urban Chase - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: homological algebra; algebraic number theory
Robert Connelly - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: geometry; rigidity; topology
Concentrations: Mathematics: mathematics
Damek Shea Davis - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: continuous optimization and variational analysis
R. Keith Dennis - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: commutative and noncommutative algebra; algebraic K-theory
Clifford J Earle - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: complex variables; Teichmuller spaces
Leonard Gross - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: functional analysis; analysis of path spaces
John Mark Guckenheimer - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: dynamical systems
Concentrations: Mathematics: mathematics
Concentrations: Mathematics: mathematics Research Interests: moduli problems; geometric representation theory, derived algorithm geometry; derived categories of coherent sheaves
Allen E Hatcher - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: geometric topology
Concentrations: Mathematics: mathematics Research Interests: elliptic partial differential equations; nonlinear elasticity and analysis
David Wilson Henderson - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: geometry; mathematics education
Concentrations: Mathematics: mathematics Research Interests: symplectic geometry; algebraic topology; algabraic geometry
Concentrations: Mathematics: mathematics Research Interests: analysis; differential equations; differential geometry
Jiunn Tzon Hwang - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: statistics; confidence set theory
Yulij S Iliashenko - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: dynamical systems
Peter Jack Kahn - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: differential and algebraic topology
Jon M Kleinberg - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: Issues at the interface of networks and information, with an emphasis on the social and information networks that underpin the Web and other on-line media.
Concentrations: Mathematics: mathematics Research Interests: Algorithms and theoretical computer science, especially economic aspects of algorithms, online learning and its applications, random processes in networks.
Allen Knutson - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: algebraic geometry and algebraic combinations
Concentrations: Mathematics: mathematics Research Interests: computational theory; computational algebra and logic
Lionel Levine - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests:
Jason F Manning - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: Geometric group theory, geometric topology
Karola Meszaros - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: Algebraic combinatorics and discrete geometry.
Justin T. Moore - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: set theory; combinatorics; logic
F. Camil Muscalu - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: mathematics
Anil Nerode - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: mathematical logic; recursive functions, computer science
Michael Nussbaum - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: statistics
Concentrations: Mathematics: mathematics Research Interests: algebra
Concentrations: Mathematics: mathematics Research Interests: algebraic number theory
Concentrations: Mathematics: mathematics Research Interests: applied mathematics; differential equations
James Renegar - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: computational complexity; mathematical programming
Timothy R. Riley - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: geometric group theory
Concentrations: Mathematics: mathematics Research Interests: analysis and probability
Concentrations: Mathematics: mathematics Research Interests:
Shankar Sen - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: algebraic number theory
Richard A Shore - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: mathematical logic; recursion theory; set theory
Reyer Sjamaar - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: lie groups; differential geometry
Concentrations: Mathematics: mathematics Research Interests: nonlinear partial differential equations and probability.
John D Smillie - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: dynamical systems
Slawomir Solecki - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: mathematical logic
Philippe Sosoe - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: probability, analysis, mathematical physics
Concentrations: Mathematics: mathematics Research Interests: Lie groups; automorphic forms
Concentrations: Mathematics: mathematics Research Interests: algebraic geometry; computational algebra
Concentrations: Mathematics: mathematics Research Interests: harmonic analysis; partial differential equations
Concentrations: Mathematics: mathematics Research Interests: nonlinear dynamics and chaos; coupled oscillators
Edward B Swartz - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: combinatorics and discrete geometry
Concentrations: Mathematics: mathematics Research Interests: number theory, automorphic forms, arithmetic geometry, ergodic theory, quantum chaos.
Concentrations: Mathematics: mathematics Research Interests: numerical analysis and scientific computing
Concentrations: Mathematics: mathematics Research Interests: applied mathematics; numerical methods; dynamic systems; nonlinear PDEs; control theory
Karen L Vogtmann - (Ithaca) - (Graduate School Professor)
Concentrations: Mathematics: mathematics Research Interests: topology; geometric group theory
Marten Wegkamp - (Ithaca) - (Minor Member)
Concentrations: Mathematics: mathematics Research Interests: Classification, Copula Modeling, Learning Theory, Empirical Process Theory, Machine Learning, Matrix Estimation and Completion, Model Selection and Aggregation, Nonparametric estimation
Concentrations: Mathematics: mathematics Research Interests: geometric topology; infinite-dimensional topology
Concentrations: Mathematics: mathematics Research Interests: algebraic topology and algebraic K-theory
David Zywina - (Ithaca)
Concentrations: Mathematics: mathematics Research Interests: Number theory, arithmetic geometry My research is in number theory and more specifically in arithmetic geometry. I like to study the family of compatible Galois representations associated to various arithmetic objects (eg. abelian varieties, modular forms, Drinfeld modules); these representations encode much, if not all, of the arithmetic of the originally object. Galois representations can also be used to study the absolute the Galois group of the rational numbers, and I have recently been playing with some applications to the Inverse Galois Problem.