Probability theory is the study of mathematical structures that provide tractable models to statistics and many diverse areas, such as physics, chemistry, biology, biosciences, geosciences, and engineering. Major subfields include stochastic processes, limit theory, infinite particle systems, stochastic analysis in Banach spaces, martingales, and Markov processes. The Mathematical Sciences Infrastructure Program supports activities that differ from the usual types of research projects such as the work of research institutes. For more information on REU, see the Crosscutting Investment Strategies section in this Guide. Further information about EHR programs and activities can be found in the EHR chapter in this Guide.
Tenure provides a research instructorship option.
Each applicant will be required to submit a research plan for the tenure period requested. The fellowships are not intended to support the preparation of prior research results for publication or the writing of textbooks. The Division of Mathematical Sciences seeks to assist universities in preparing undergraduate students, graduate students, and postdoctoral fellows for a broad range of opportunities in the mathematical sciences, and to encourage departments in the mathematical sciences to consider a spectrum of educational activities and their integration with research. D.-granting departments in the mathematical sciences to carry out innovative educational programs, at all levels, that are integrated with the department's research activities. A number of areas in science and engineering have problems of great mathematical and statistical complexity or obscurity that are creating a demand for mathematical and statistical cooperation.