Positions Held




Research and Publications




Recognitions and Miscellany 



Incipit, Art meets mathematics in the Fourth dimension
by Stephen Lipscomb



Art meets Mathematics in the Fourth Dimension - 2nd edition published by Springer
by Stephen Lipscomb


Fractals and Universal Spaces in Dimension Theory Series: (Springer Monographs in Mathematics)
by Stephen Lipscomb


Editor of Duvall Football: Winning a National Championship (Paperback)
by Deacon Duvall



Symmetric Inverse Semigroups (Mathematical Surveys and Monographs, No 46)
by Stephen Lipscomb


My Best Friend Harley (Paperback)
by Stephen Lipscomb (Author) and John Shaw (Illustrator)


Teaching Experience
As of Retirement June 2003: One year high school; 20 years full-time undergraduate; 16 years half-time graduate.


Rehoboth Beach High School, 1965-66

West Virginia University as Teaching Assistant, 1966-67

University of Virginia as a predoctoral student, 1968-70

Rappahannock Community College, 1977-1980 part time while at NSWC

Virginia Polytechnic Institute & State University, half-time starting in 1976

University of Mary Washington part-time while at NSWC and then full-time since 1983.

Subjects (Most of these were taught several times.)

Topology --- graduate sequences: point set, algebraic, homotopy, homology, cohomology, dimension theory, and fractals; undergraduate: point set, homotopy, and fractals.

Algebra --- graduate sequences: group theory, algebraic semigroup theory, and category theory; undergraduate: abstract, linear, and semigroup theory.

Analysis --- undergraduate: calculus sequence, advanced calculus, and differential equations.

Discrete Mathematics --- graduate sequences: graph theory and combinatorics; undergraduate: discrete courses.

Statistics: undergraduate statistics.
Lectures and short courses: (involving applied mathematics, computers and Systems) Kalman Filtering, Inertial Navigation, and Stochastic Modeling.

Applied Mathematics Experience
Fourteen years at NSWC --- 1967-83:

Submarines and Missiles

Inertial Navigation, Kalman filtering, gimbaled systems, numerical analysis of solutions of differential equations, exponential solutions; the differential equations of six-degrees-freedom boat motion; functionalization techniques (fire control and
vertical deflections; stochastic differential equations (Markovs, random walks, and ramps); spectral analysis and Fourier analysis (boat motion and wave spectra); covariance analysis (errors in inertial navigation); and difference equations (in computer modeling of stochastic differential equations)

Computer Networks

Packet switching theory (Ethernet with exponential backoff); Z-transform (generating functions); and analytic models derived from statistical distributions and protocols.

Other Experience


To the Fleet Ballistic Missile project sponsor up to and including
Admiral Clark who was the Director of the Strategic Systems Project Office. Given talks on applied mathematics at a number of organizations such as the Naval Ship Research and Development Center, Naval Oceanographic Office, Sperry Systems Management, and the Applied Physics Laboratory (Johns Hopkins University).

Chair of tiger Team for Tomahawk Missile System OPEVAL

In 1981, the Tomahawk Missile System was encountering guidance problems. The Joint Cruise Missile Project Office Washington D.C. organized a “Tiger Team” tasked with increasing confidence in the Tomahawk Missile System Software prior to Operational Evaluation OPEVAL in summer 1983 was organized. Directed and organized meetings with collectively over thirty representatives from Lockheed, VITRO, JCMPO, NSWC, McDonald Douglas, and Johns Hopkins University. A plan was developed and completed
on time --- received NSWC letter-of-recognition for that effort.

Verification and Validation Group leader

Lead individual of a four person group tasked with verification and validation of the Navy's Advanced Weapons System Simulation, which models the entire Fleet Ballistic Missile Weapons System. In support of that effort, the following major tasks were performed: Led a joint study with the David Taylor Naval Ship Research and
Development Center, General Electric, and NSWC to evaluate the sensitivity of Poseidon impact accuracy to errors in Boat Motion Hydrodynamic Coefficients. Managed and provided technical direction for contract with Sperry Systems Management Division to
verify and validate an NSWC developed model of the Poseidon Submarine Navigation System. Provided technical direction for contract with Business and Technological Systems Inc. to verify and validate the NSWC developed model of the C4 Missile and
Equipment Section Subsystems.