MASS 2014 General Information
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MASS Program web site
MASS Seminar and Colloquium information
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Date  Topic  Homework 

8/26  Groups, rings, and fields: basics and examples.  due 9/2 pdf 
9/2  Convex sets and convex functions.  due 9/8 pdf 
9/9  Compact sets in metric spaces. More on convex sets.  due 9/15 pdf 
9/16  Means and inequalities.  due 9/22 pdf 
9/23  Matrices and linear transformations.  Review Linear Algebra 
9/30  Career path in academia. (V.S.) How to apply to graduate school. (Professor Svetlana Katok) Graduate school experience. (Kurt Vinhage) 
Review the presentation slides 
10/7  No seminar. Midterm exams.  
10/14  Geometric properties of conics. (Arseniy Akopyan)  
10/21  Dimensions: similarity, box, and Hausdorff.  due 10/27 pdf 
10/28  Topological spaces.  Read Giving a talk by Bryna Kra pdf 
11/4  Topological spaces. Geodesic flows on spaces of constant negative curvature. (Andres Arroyo) 

11/11  Circle maps, rotation number, Denjoy theorem and example.
(Bobby Lumpkin) Arithmetic Dynamics. (Jason Green) Differentiable manifolds. (Hilton Galyean) 

11/18  Hilbert's plane geometries. (John Hirdt) Markov Chains. (Xi (Amanda) Wang) Pricing strategies for a continuum model of the limit order book. (Hongxu Wei) 

12/2 
Order preserving permutation polynomials. (Zachary Wampler) Newton and Lagrange systems. (Chen Cai) Orthogonal transformations in space. (Loren Anderson) Symplectic methods for solving Hamiltonian systems with multiple time scales. (Xiaolan Yuan) Generating nonlatin squares using polynomials. (Todd Fenstermacher) 