Deadline: February 15, 2017
Choose one of three projects:
Algorithmic Algebraic Geometry
Systems of polynomial equations occur in applications ranging from cryptology to the navigation of space-craft. This REU focuses on recent algorithms advances coming from tropical geometry that yield tremendous speed-ups over earlier methods based on commutative algebra. Students in this program will investigate mathematical models from three areas of mathematical biology: biochemical reaction networks, immunology, and neuroscience. The emphasis will be on systems amenable to analysis by algebraic and combinatorial methods. Interested students can also explore recent connections to complexity theory. No background in biology is required, and all projects are accessible to undergraduate participants.
Mathematical Modeling in Biology
In this interdisciplinary program, we explore mathematical aspects of a wide variety of models arising in mathematical ecology and mathematical physiology. In the modeling of complex ecosystems, the main emphasis is the impact of changes in the landscape topology on populations, including its distribution and dynamics. Two subareas are emphasized - deterministic modeling using differential equations and stochastic modeling using techniques from statistics. Knot theory, braid group representations and Galois theory are some of the main topics involved. Students with interest in any of these areas are encouraged to apply. The emphasis will be given to the algebraic aspects of these problems. No background in quantum computation is required.
- Much of modern number theory revolves around two different types of functions: L-functions and modular forms. The participants of this REU will have a variety of options to explore this beautiful area of number theory at an accessible level. Based on the interests of the participants, possible projects could include:
- Studying zeros of modular forms
- Developing numerical tools to study modular forms
- Studying central values of L-functions of modular forms
- Studying rational points on elliptic curves
To Apply: https://www.mathprograms.org/db/programs/503
If you have any questions or concerns, email Donna Hoffman at email@example.com
REU Dates: May 30 – July 21, 2017