Daniel Dix



Education
Ph.D.  Mathematics  University of Chicago  1988 
M.S.  Mathematics  University of Chicago  1984 
B.S.  Mathematics  University of South Alabama  1980 
Experience
1997 – Present  Associate Professor  Department of Mathematics, Univ. of South Carolina 
1991 – 1997  Assistant Professor  Department of Mathematics, Univ. of South Carolina 
1989 – 1991  Postdoctoral Scholar  Pennsylvania State University 
1988 – 1989  Postdoctoral Member  Institute for Mathematics and its Applications 
Research
Research Interests
 mathematical chemistry, molecular quantum mechanics, molecular geometry, molecular dynamics
 protein dynamics and folding, statistical mechanics
 mathematical cellular biology, systems biology
 initial value problems for partial differential equations governing the evolution of nonlinear waves, asymptotic behavior of solutions, solutions with special symmetry, completely integrable equations, and solutions
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Teaching Activities
Current Courses
 Math 242  Differential Equations
 Math 550  Vector Analysis
Previous Courses
 Math 122  Calculus for Business Administration and Social Sciences
 Math 141  Calculus I
 Math 142  Calculus II
 Math 241  Vector Calculus
 Math 242  Elementary Differential Equations
 Math 511  Probability
 Math 524  Nonlinear Optimization
 Math 550  Vector Analysis
 Math 570  Linear Programming
 Math 728A  Selected Topics: Biomolecular Geometry
 Math 728B  Selected Topics: Biomolecular Simulation
 Math 728G  Selected Topics: Stochastic Models of Biomolecular Systems
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Honors and Other Special Scientific Recognition
 Developed with the help of graphics programmer Scott Johnson with funding from the Interdisciplinary Mathematics Institute at the University of South Carolina a computer program, IMIMOL, for building and manipulating the geometry of macromolecules. It is a tool for research and teaching. With the help of undergraduate Matthew Hielsberg, the program VMD was modified to allow easy manipulation and visualization of molecular geometries via CAVE technology.
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5 Selected Publications
 Daniel B. Dix, Sharp LargeTime Asymptotics of the Correlation Integral in the Sus pended Flow over a Hyperbolic Toral Automorphism, preprint, 2007.
 Daniel B. Dix, Polyspherical Coordinates on Orbit Spaces with Applications to Biomolec ular Conformation, Acta Appl. Math., 90, (2006), 247–306.
 Daniel B. Dix, Largetime Behavior of Solutions of Burgers’ Equation, Proc. Roy. Soc. Edinburgh, 132A (2002), 843–878.
 Daniel B. Dix, LargeTime Behavior of Solutions of Linear Dispersive Equations, Lecture Notes in Mathematics, 1668, (1997), 203 pages.
 Daniel B. Dix, The Dissipation of Nonlinear Dispersive Waves: The Case of Asymp totically Weak Nonlinearity , Comm. P.D.E. 17 (1992), 1665–1693.
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IMI Preprints and Seminars
IMI Preprints
 Polyspherical coordinate systems on orbit spaces with applications to biomolecular conformation (2002)
IMI Seminars
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