IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Daniel Dix

  • Associate Professor
  • Department of Mathematics
  • University of South Carolina


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

BACK TO TOP

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

BACK TO TOP

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.

BACK TO TOP

5 Selected Publications

  • Daniel B. Dix, Sharp Large-Time 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, Large-time Behavior of Solutions of Burgers’ Equation, Proc. Roy. Soc. Edinburgh, 132A (2002), 843–878.
  • Daniel B. Dix, Large-Time 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.

BACK TO TOP

IMI Preprints and Seminars

IMI Preprints

IMI Seminars



BACK TO TOP

Curriculum Vitae

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster
USC