Department of Mathematics

Embry-Riddle Aeronautical University

600 S. Clyde Morris Blvd.

Daytona Beach, FL 32114-3900

phone: 386-226-7737

fax: 386-226-6269

**EDUCATION:**

1995 *University** of Wisconsin-Madison*, Madison, Wisconsin

Ph.D. in Mathematics

1988 *Siena** College*, Loudonville, New York

Bachelor of Science in Mathematics

**EXPERIENCE:**

- August 2014-present
**Professor**, Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, Florida - August 2006-August 2014
**Associate Professor**, Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, Florida - 2000-August 2006
**Assistant Professor**, Department of Computing and Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, Florida - 1998-2000
**Davies Fellow**,*National Research Council Research Associateship Program*, Department of Mathematics, United States Military Academy, West Point, New York / Army Research Lab, Aberdeen Proving Ground, Maryland. - 1995-1998
**Visiting Research Assistant Professor**, Department of Mathematics, University of California-Davis.

**PUBLICATIONS (all files in PDF format):**

- Not All Traces on the Circle Come from Functions of Least Gradient in the Disk, with Alexandru Tamasan, to appear in the
*Indiana University Mathematics Journal*. *Effect of Variable Dose Rate on Biologically Effective Dose*, with Vadim Kuperman,*International Journal of Radiation Biology*, November 2013, vol. 89, issue 11, pp. 889-897.- Weierstrass Traveling Wave Solutions for Dissipative Benjamin, Bona, and Mahony (BBM) Equation, with Strfan Mancas and Harihar Kanal,
*Journal of Mathematical Physics,*vol. 54, 2013, pp. 081502(1-15). - Use of Radiation Protraction to Escalate Biologically Equivalent Dose to the Treatment Target, with Vadim Kuperman,
*Medical Physics,*vol. 38, 2011. - A Non-autonomous Second Order Boundary Value Problem on the Half-Line,
*Nonlinear Ordinary Differential Equations and Applications*, published online April 9, 2010. - Heteroclinic Solutions to an Asymptotically Autonomous Second Order Equation,
*Electronic Journal of Differential Equations,*Vol. 2010(2010), No. 137, pp. 1–14. - On Osgood's criterion for classical wave equations and nonlinear shallow water wave equations (with Tim Smith), Int. Journal of Math. Analysis, Vol. 4, 2010, no. 20, 967 - 974.
- Traveling Waves for the BBM Equation with Viscosity Term,
*Advances and Applications in Fluid Mechanics*, Vol. 5 (2009), No. 1, pp. 101-106 - Lanchester's Equations in Three Dimensions (with Christina Spradlin),
*Computers and Mathematics with Applications*, Vol. 53 (2007) No.7, pp. 999-1011**.** - Scattered Homoclinics to a class of time-recurrent Hamiltonian systems,
*ESAIM- Control, Optimisation and Calculus of Variations*, Vol. 13 (2007) No. 3, pp. 528-537. The original publication is available at www.edpsciences.org/cocv. - An Elliptic Equation with no Monotonicity Condition on the Nonlinearity,
*ESAIM**- Control, Optimisation and Calculus of Variations*, Vol. 12 (2006) No. 4, pp. 768-794. The original publication is available at www.edpsciences.org/cocv. - Interacting Near-Solutions to a Hamiltonian System,
*Calculus of Variations and Partial Differential Equations*, Vol. 22 pp. 447-465 (2005) - Existence of solutions to a Hamiltonian system without convexity condition on the nonlinearity,
*Electron.**J. Diff. Eqns*., Vol. 2004(2004), No. 21, pp. 1-13. - Interfering solutions of a nonhomogeneous Hamiltonian system
*, Electronic Journal of Differential Equations*Vol. 2001(2001), No. 47, pp. 1-10. - An elliptic equation with spike solutions concentrating at local minima of the Laplacian of the potential,
*Electronic Journal of Differential Equations*Vol. 2000(2000), No. 32, pp. 1-14. - An Elliptic Partial Differential Equation with a Symmetrical Almost Periodic Term,
*Calculus of Variations and Partial Differential Equations*9, pp. 233-247 (1999). - A Singularly Perturbed Elliptic Partial Differential Equation with an Almost Periodic Term,
*Calculus of Variations and Partial Differential Equations*9, pp. 207-232 (1999). - A Perturbation of a Periodic Hamiltonian System,
*Nonlinear Analysis, Theory, Methods, & Applications*, 38 (8) (1999) pp. 1003-1022 - A Hamiltonian System with an Even Term,
*Topological Methods in Nonlinear Analysis*, 10.1, 1997, pp. 93-106. - An Almost Periodic Function of Several Variables with no Local Minimum,
*Rendiconti**dell’Instituto di Matematica dell’Universia di Trieste,*28 (1996), no. 1-2, pp. 371-381.

**PREPRINTS**

- Rhapsody in C minor for solo piano