Early Research Directions
This course is intended to broaden students' perspective of mathematical research areas, while simultaneously introducing important mathematical concepts. More than a survey course, we plan to start from the beginning and develop selected topics to the point that students can grasp some of the central ideas important at a research level.
Spring 2011 Course
Organizer: Andrejs Treibergs
Assistant: Brendan Kelly
ERD course will meet Thursdays, at 3:20 PM in LCB 121.
Geometric Analysis1/20: Andrejs Treibergs, "Geometry and Analysis of Surfaces"
Representation Theory, Number Theory, and Arithmetic Geometry1/27: Moshe Adrian, "Representation Theory, Number Theory, and the Langlands Program"
2/3: Gordan Savin, "Construction of Abelian Extensions using Elliptic Curves"
2/10: Remi Lodh, "Geometry and Number Theory."
Notes by Robert Snellman.
Probability Theory2/17: Davar Khoshnevisan, "The Mathematics of Structure and Disorder: Looking at Roots and Finding Chaos"
2/24: Firas Rassoul-Agha, "Drunken Sailors in Disordered Cities", -notes-
Commutative Algebra3/3: Anurag Singh, "Algebraic Sets and Arithmetic Rank"
3/10: Lance Miller, "More Algebraic Sets and Singularities"
Geometry3/17: Nat Smale, "Hodge Theory on Metric Spaces"
Notes by Brendan Kelly.
Applied Mathematics3/31: Fernando Guevara Vasquez, "Can You Hear the Mass Density of a String?" -notes-
4/7: Christel Hohenegger."A simple model for ketchup like liquid, its numerical challenges and limitations" -notes-
4/14: Yekaterina Epshteyn."Discontinuous Galerkin Finite Element Method for the classical Patlak-Keller-Segel chemotaxis model" -notes-
Notes by Andrew Thaler.