Department of Mathematics
Baylor University
One Bear Place #97328
Waco, TX 76798-7328
Office: Sid Richardson 345E
Link to office hours
Phone: (254) 710-4382
Email: Brian_Raines@baylor.edu
Education:
D. Phil. (Doctorate), University of Oxford, 2002
Biography:
Dr. Raines received his doctorate in mathematics from Oxford University where he was a member of St. Edmund's Hall. He travels extensively to work with collaborators in the UK, Italy, and Croatia. He was born and raised in Texas. He is married with two children, and loves to cook and play games of all sorts.
Academic Interests and Research:
Dr. Raines research is in the topology of pathological spaces that arise in dynamical systems. He is also interested in applications of topology to non-deterministic dynamical systems that arise in mathematical economics.
Selected Publications:
"Backward dynamics in economics. The inverse limit approach," joint with A. Medio (Udine), J. Econom. Dynam. Control 31 (2007) , 1633-1671.
"Structure of Inverse Limit Spaces of Tent Maps with Nonrecurrent Critical Points," joint with S. Stimac (Zagreb), Glas. Mat. Ser. III 42(62) (2007), 43-56.
"Local planarity in one-dimensional continua," Topology and its Applications 154 (2007) 972-984.
"Non-hyperbolic one-dimensional invariant sets with a countably infinite collection of inhomogeneities," joint with C. Good (Birmingham) and R.W. Knight (Oxford), Fundamenta Mathematicae 192 (2006), 267 - 289.
"Chainablilty and Hemmingsen's theorem," joint with T. Banakh (Kiev), P. Bankston and W. Ruitenburg (Milwaukee), Topology and its Applications 153 (2006), 2462 - 2468.
Awards:
NSF Grant DMS 0604958: "Classifying a model for the Henon Attractor: a U.S. - Croatia Collaboration"
Current Ph.D. Students:
Leslie Jones
Casey Sherman
Courses taught at Baylor:
- MTH 1309 - Calculus for Business Students
- MTH 1321 - Calculus I
- MTH 1322 - Calculus II
- MTH 3312 - Foundations of Combinatorics and Algebra
- MTH 3323 - Introduction to Analysis
- MTH 4326 - Advanced Calculus I
- MTH 4327 - Advanced Calculus II
- MTH 5323 - Theory of Functions of Real Variables I
- MTH 5324 - Theory of Functions of Real Variables II
- MTH 5330 - Topology
- MTH 5331 - Algebraic Topology I
- MTH 5332 - Algebraic Topology II
- MTH 6V30 - Advanced topics in Topology
- MTH 6V23 - Advanced topics in Analysis
- MTH 5V23 - Special topics in Analysis
- MTH 6V99 - Dissertation
