The Department of Mathematics at Purdue University will offer an 8-week residential program to conduct research in pure mathematics. The program, entitled PRiME (Purdue Research in Mathematics Experience). will run from June 13 through August 5, 2016. The program is being sponsored by the National Science Foundation (NSF).

The program will be directed by Edray Goins (Purdue University), Jonathon Peterson (Purdue University), and Pamela Harris (Williams College). During the eight week program, students will work together on research projects in either algebraic geometry and number theory or in random walks and probability theory. More details are in the Project Descriptions below.

During the summer, each of the undergraduate participants will:

- Complete a research project done in collaboration with other PRiME students.
- Give a presentation and write a technical report.
- Attend a series of colloquium talks given by leading researches in their fields.
- Attend workshops aimed at developing skills and techniques needed for research careers in the mathematical sciences.

In order to successfully complete this project, participants will:

- Meet at least 10 hours every week for a minimum of 8 weeks.
- Be introduced to advanced topics relevant for their research such as: Abstract Algebra, Complex Analysis, Differential Geometry, Graph Theory, Number Theory, Markov Chains, and Stochastic Processes.
- Learn how to use an computational mathematical packages such as Sage, Mathematica, or Matlab.
- Learn how to use \( \LaTeX{} \), a mathematical typesetting language.
- Write a technical paper explaining the details of the project.
- Design a poster giving an overview of the project.

Participants in the PRiME program will receive

- A stipend of $4000 for the eight week program
- $1500 for living expenses; affordable options will be provided for on-campus room and board.
- Up to $1000 for travel (to and from Purdue and also to attend conferences after the completion of the PRiME program)

Students must be undergraduates in good standing, although preference will be given to applicants who will begin either their Junior or Senior year in the Fall of 2013. Applicants must have taken a proof-based course in Abstract Algebra, Discrete Mathematics, Number Theory, and/or Probability Theory. NSF funding also requires that participants must be US Citizens.

Applications for the PRiME program should be submitted through MathPrograms.org by going to https://www.mathprograms.org/db/programs/434. For a complete application, you will need to submit

- Three letters of recommendation
- An unofficial transcript or list of math courses and grades. An official transcript may be required upon admission to the program.
- A cover letter addressing your interest in the PRiME program. Please address what you hope to get out of participating in PRiME and also which of the two research topics you would prefer to participate in.

For full consideration, applications should be received no later than **Friday, March 11, 2016**.

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