Curriculum Semi-Vitae

Selwyn Hollis

Professor of Mathematics

Department of Mathematics
Armstrong Atlantic State University
Savannah, GA 31419

Education

• B.S. in Mathematics, 1981, University of Georgia (Magna Cum Laude, Phi Beta Kappa)
• Ph.D. in Mathematics, 1986, North Carolina State University. Thesis advisor: R.H. Martin, Jr.

Research Publications

• “Steady state solutions for balanced reaction-diffusion systems on heterogenous domains” (with W. E. Fitzgibbon and J. Morgan), in Differential and Integral Equations, 12, 1999. (pdf)
• “Stability and Lyapunov functions for reaction-diffusion systems” (with W. E. Fitzgibbon and J. Morgan), in SIAM Journal on Mathematical Analysis, 28 (3), 1997. (pdf)
• “The existence of periodic solutions to reaction-diffusion systems with periodic data” (with J. Morgan), in SIAM Journal on Mathematical Analysis, 26 (5), 1995. (pdf)
• “On the blow-up of solutions to some semilinear and quasilinear reaction-diffusion systems” (with J. Morgan), in Rocky Mountain Journal of Mathematics, 24 (3), 1994. (pdf)
• “On the blow-up of solutions to some semilinear parabolic systems arising in in chemical reaction modelling” (with J. Morgan), in Proceedings of the First World Congress of Nonlinear Analysts '92, Walter de Gruyter, 1996. (refereed)
• “Locally stable dynamics for reaction-diffusion systems” (with W. E. Fitzgibbon and J. Morgan), in Semigroups of Linear and Nonlinear Operators and Applications, G. R. Goldstein and J. A. Goldstein (eds.), Kluwer Academic Publishers, 1993.
• “Lyapunov stability for diffusive interactive biological systems” (with W. E. Fitzgibbon and J. Morgan), Proceedings of the Third International Conference on Mathematical Population Dynamics at Pau, France, August 1992 (eds. Arino, Axelrod, Kimmel) Marcel Dekker (refereed).
• “On the question of global existence for reaction-diffusion systems with mixed boundary conditions,” in Quarterly of Applied Mathematics, 51 (2), 1993.
• “Partly dissipative reaction-diffusion systems and a model of phosphorus diffusion in silicon” (with J. Morgan), in J. Nonlinear Analysis: Theory, Methods and Applications, 19 (5), 1992. (pdf)
• “Interior estimates for a class of reaction-diffusion systems from L¹ a priori estimates” (with J. Morgan), in J. Differential Equations, 98 (2), 1992. (pdf)
• “Global existence and asymptotic decay for systems of convective reaction-diffusion equations” (with J. Morgan), in J. Nonlinear Analysis: Theory, Methods and Applications, 17 (8), 1991.
• “Global existence and boundedness in reaction-diffusion systems” (with R. H. Martin, Jr. and M. Pierre), in SIAM Journal on Mathematical Analysis, 18, 1987.
• “Vector algorithms for H-equations arising in radiative transfer through inhomogeneous media” (with C. T. Kelley), in Transport Theory and Statistical Physics, 15 (1&2), 1986.

Other Publications

• “RestartingNDSolve,” in Mathematica in Education and Research, 10 (1), 2005.
• Calculus With Mathematica: An Interactive Book, 2004.
• Differential Equations With Boundary Value Problems, Prentice Hall, 2002.
• A Mathematica Companion for Differential Equations, Prentice Hall, 2002.
• “Mathematica(l) Roller Coasters,” in Mathematica in Education and Research, 8 (3-4), 1999. (pdf)
• “Cones, k-Cycles of Linear Operators, and Problem B3 on the 1993 Putnam Competition,” in Mathematics Magazine, 72 (4), Oct. 1999. (pdf)
• The following are ancillaries published by Brooks/Cole for Stewart’s Calculus: Concepts and Contexts and Stewart’s Calculus, 4th edition. These projects transpired over the course of November 1996 to March 1999 and total about 1000 pages.

CalcLabs with the TI-89/92, Single Variable
CalcLabs with the TI-89/92, Multivariable (with J. Morgan)
CalcLabs with the TI-82/83, Single Variable (with J.Morgan)
CalcLabs with Mathematica, Single Variable
CalcLabs with Mathematica, Multivariable

Grants

Connecting Teachers and Technology Grant from the Board of Regents of the University System of Georgia. April 1996. A $20,000 grant to design and implement a sophomore-level course entitled Mathematical Problem Solving with Technology, which was taught by Dale Kilhefner and me in Spring 1997. The proposal was written by me, Ed Wheeler, and Dale Kilhefner.

Eisenhower Grant. March 1997 (with Dale Kilhefner). A $19,100 grant from the Eisenhower Higher Education program to teach a summer graduate course, Mathematical Problem Solving with Technology, for in-service high school teachers. The course was taught in Summer 1997.

Professional Review

Have served as reviewer or referee for:

• Journal of Differential and Integral Equations
• Communications on Applied Nonlinear Analysis
• Applied Mathematics Letters
• SIAM Journal on Mathematical Analysis
• Rocky Mountain Mathematics Journal
• College Mathematics Journal
• Indian Journal of Pure and Applied Mathematics
• Journal of Mathematical Analysis and Applications
• Jones and Bartlett Publishers
• McGraw-Hill
• Applied Mathematics Division of the National Science Foundation
• USG Board of Regents’ Connecting Teachers and Technology program

Invited Talks

• “Reaction-diffusion models of the formation of animal pigmentation patterns,” Annual Sherwood Ebey Lecture, September 2004, University of the South, Sewanee, Tennessee
• “Periodic solutions of reaction-diffusion systems,” Special Session on Reaction-diffusion Equations, Central Section Meeting of the AMS, October 1993, Texas A&M University
• “Spatially local estimates for some quasilinear parabolic systems,” World Congress of Nonlinear Analysts, August 1992, Tampa, Florida

Contributed Talks

• “Spatial spread of bark beetle infestations: modeling and simulation,” Wolfram Technology Conference, October 2005, Champaign, IL
• “Modeling bark beetle infestations in pine forest ecosystems,” Southeastern-Atlantic Regional Conference on Differential Equations, October 2004, University of Tennessee at Chattanooga
• “Mathematica in the Differential Equations course: a toolbox, not a black box,” Southeastern Section meeting of the MAA, March 1997, Spelman College/Georgia Tech
• “Bounded absorbing sets in L^∞ for reaction-diffusion systems,” Southeastern-Atlantic Regional Conference on Differential Equations, October 1994, University of Tennessee at Knoxville
• “Interior estimates and applications in reaction-diffusion systems,” 16th Annual Meeting of the Southeastern-Atlantic Section of SIAM, April 1992, University of Alabama in Huntsville
• “Global existence for systems of convective reaction-diffusion equations,” Southeastern-Atlantic Regional Conference on Differential Equations, October 1989, University of North Carolina at Charlotte
• “Global bounds for reaction-diffusion systems,” Southeastern-Atlantic Regional Conference on Differential Equations, October 1985, Georgia Institute of Technology

Undergraduate Colloquia

In the Anne and Sigmund Hudson Mathematics and Computer Science Colloquium Series unless otherwise noted:

• “Nuts and Bolts of Nonlinear Optimization,” January 2006
• “A Tour of Calculus with Graphics and Animations,” March 2004
• “Reaction-diffusion Models of the Formation of Animal Pigmentation Patterns,” September 2003 (pdf)
• “How the Work of an Engineer at the Renault Auto Company in 1962 Affects Your Life Every Day,” February 2003 (pdf)
• “An Overview of Oscillators,” April 2002 (pdf)
• “Are All Derivatives Continuous?” (Savannah Country Day School AP Calculus Class) April 1999 (pdf)
• “Newton and Gauss at the Movies: An Animated Tour of Calculus with Mathematica,” January 1999 (nb)
• “Oddities, Curios, and Counterexamples in Calculus,” February 1998 (pdf)
• “The TI-92 Calculator,” April 1997
• “The Joy of TeX,” April 1996
• “Using Patterns and Rules in Mathematica ,” February 1996
• “Harvesting of a Population Governed by Logistic Growth,” October 1995
• “The Mathematical Description of Curves,” November 1994
• “The Effect of Atmospheric Conditions on the Flight of a Baseball," May 1993