Summer 2015 dates: June 1--July 31
A. Modeling and Computation
B. Combinatorics and Probability
Application Deadline: 11:59:59 pm on Friday February 27. Offers will be made soon after, and since ETSU participates in the "Common Earliest Reply Date Consortium of REUs" we will not insist on an acceptance to this REU before March 8.
This is a two-month (=nine-week) summer Research Experience for Undergraduates funded by the National Science Foundation. Summer 2015 will be its 23rd year of operation. Anant Godbole will direct the four students in the Combinatorics/Probability portion of the program. The Modeling/Computation portion, also with four students will be co-directed by Ariel Cintron-Arias and Michele Joyner. Previous incarnations of the program, offered at Michigan Tech and ETSU, have been named Discrete Random Structures, Probability and Combinatorics, etc.
ETSU is located at the foot of the Appalachian Mountains in scenic Johnson City, East Tennessee, 100 miles from Knoxville, 200 miles from Charlotte (A US Airways hub with connections to Johnson City) and 250 miles from Atlanta (A Delta hub with connecting flights to Johnson City).
Modeling and Computation: Team members will work in pairs on one in-depth problem for the nine weeks. All problems will involve modeling and simulation of models using MATLAB, Python, or R. Additionally, research problems will explore topics in: stochastic processes at the interface of model validation against longitudinal data; large-scale complex networks within the context of dynamic processes such as evolutionary strategies and rational biodesign.
Probability and Combinatorics: Team members work singly (seldom) or in small groups (typically) on problems widely varying in kind and approachability. Anant suggests a number of problems at the beginning of the session, and generally most projects grow out of these. Each student typically works on two problems of her/his choice. There's plenty of room for innovation, though. Generally problems are in (i) Discrete Math; or (ii) Probabilistic Methods applied to Discrete Math
The problems for 2015 will be shared with students as soon as we make them offers, but there will be a strong focus on
Parameter Estimation in Stochastic Models (Modeling and Computing); or
Complex Networks and Dynamic Models (Modeling and Computing); or
Universal Cycles and Permutation Patterns (Probability and Combinatorics)
Most often, publishable papers grow out of projects at the ETSU REU. Past participants have published in The Journal of Combinatorial Theory; Statistics and Probability Letters; Combinatorics, Probability and Computing; Annals of Combinatorics; Electronic Journal of Combinatorial Number Theory; A dvances in Applied Probability; Journal of Number Theory; Electronic Journal of Combinatorics; Discrete Mathematics; SIAM Journal on Discrete Math; Graphs and Combinatorics; Methodology and Computing in Applied Probability; Pure Mathematics and Applications; Journal of Statistical Planning & Inference and several others. Participants also regularly attend professional conferences where they present their work: For example, the 2014 group went to the Annual Joint Math Meetings in Baltimore in January 2016, and some will go to the International Permutation Patterns Conference. I expect that this year's group will go to the Joint Math Meetings in Seattle, January 2016. Another exciting happening: Anant's group will go to Carnegie Mellon University for the prestigious Random Structures and Algorithms conference during the last week of the program! See http://rsa2015.amu.edu.pl/ for details of this conference, which is usually held in Poznan, Poland.