David J. Rader, Jr.

EDUCATION

• Ph.D. Operations Research, RUTGERS UNIVERSITY, May 1997.
• Specialization: Nonlinear 0-1 Optimization, Computational Integer Programming
• Thesis: The Structure and Solution of Various Quadratic 0-1 Optimization Problems.
• Advisor: Professor Peter L. Hammer, Rutgers Center for Operations Research (RUTCOR)
• Honors: Rutgers University Excellence Fellowship 1991-1993.
• B.S. Magna Cum Laude Mathematics, UNIVERSITY OF RICHMOND, 1991
• Honors:
• Pi Mu Epsilon National Mathematics Honor Society
• Phi Beta Kappa
• Outstanding Mathematics Student, 1990-1991.
• Minor: Computer Science.

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PROFESSIONAL EXPERIENCE

• Rose-Hulman Institute of Technology, Terre Haute, IN, 1997-now, Assistant Professor, Department of Mathematics.
• RUTCOR, Rutgers University, New Brunswick, NJ, 1991-1997, Instructor and Assistant
• Instructor for upper level undergraduate courses in the Mathematics Department and the School of Business - see Teaching Experience, below.
• Worked with Professor Peter L. Hammer on various research projects.
• Coordinated electronic access of RUTCOR research reports .
• Refereed submitted publications for various journals.
• Performed work under Office of Naval Research (ONR) grant.
• Representative on the Teaching Assistant Project's TA Liaison Committee.
• CORBY INDUSTRIES, INC., Allentown, PA 1989-1992 Programmer
• Participated in the design and implementation of various access control products.
• Was in charge of testing and refining new systems.
• UNIVERSITY OF RICHMOND, Academic Computing Department, 1988-1991, Computer Assistant
• Assisted students with programming and other computer-related problems.
• Student Assistant in Calculus with Mathematica Lab.

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TEACHING EXPERIENCE

• Instructor for three upper level undergraduate mathematics and business courses, Rutgers University.
• MATHEMATICAL MODELS. Models for physical and social sciences using graphs, pulse processes, Markov chains, games and group decisionmaking.
• LINEAR OPTIMIZATION. Linear and integer programming, networks.
• OPERATIONS MANAGEMENT. Linear programming, transportation and network models, inventory theory, dynamic programming and simulation. Applications in business decision-making.
• Assistant Professor of Mathematics, Rose-Hulman Institute of Technology
• Technology in the classroom: Maple V
• CALCULUS I. Functions, Parametric equations, Vectors, differentiations, curvature, decomposition of acceleration.
• DIFFERENTIAL EQUATIONS I. First order differential equations, second order differential equations, Laplace transforms.

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PUBLICATIONS

• "Efficient methods for solving quadratic 0-1 knapsack problems"; INFOR, V35, No. 3, August 1997, pp. 170-182. Joint work with Peter L. Hammer.
• "Maximizing the product of two linear 0-1 functions"; RUTCOR Research Report RRR 2-97, (February 1997). Joint work with Peter L. Hammer, Pierre Hansen and Panos Pardalos.
• "Valid inequalities and facets of the quadratic 0-1 knapsack polytope"; RUTCOR Research Report RRR 16-97 (August 1997).
• "Lifting results for the quadratic 0-1 knapsack polytope"; RUTCOR Research Report RRR 17-97 (August1997).
• "Complexity results for valid inequalities and facets of the quadratic 0-1 knapsack polytope"; in preparation.
• "Maximally disjoint solutions of the set covering problem"; in preparation. Joint work with Peter L. Hammer.

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PRESENTATIONS

• "Quadratic knapsack problems", XV Mathematical Programming Society Symposium, Ann Arbor, MI, (August 1994).
• "Quadratic knapsack problems", University of Richmond, Richmond, VA, invited seminar (October 1994).
• "Solving quadratic 0-1 knapsack problems", RUTCOR department seminar, New Brunswick, NJ (April 1996).
• "Solving quadratic 0-1 knapsack problems", GERAD, Universite de Montreal, Montreal, Quebec, CA invited seminar (May 1996).
• "Lifting results for the quadratic 0-1 knapsack polytope", Project NExT, YMN Poster Session, 1997 Joint AMS/MAA Mathematical Meetings, San Diego, CA. *January 1997).
• "Maximizing the Product of Two Linear Functions in 0-1 Variables", Joint Rose-Hulman, Indiana State, and St. Mary's of the Woods Mathematics Seminar, Terre Haute, IN. (October 1997).
• "Maximizing the Product of Two Linear Functions in 0-1 Variables", INFORMS Fall 1997 Invited Talk, Dallas, TX (October 1997)
• "Lifting results for the quadratic 0-1 knapsack polytope", INFORMS Fall 1997 Invited Talk, Dallas, TX (October 1997)

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RESEARCH INTERESTS

• Nonlinear 0-1 Optimization, Computational Integer Programming, Mathematical Modeling, Discrete Mathematics and its Applications.
• AMS Classification: 90C09, 90C10, 90C27, 90B90.

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GRADUATE COURSEWORK

• Optimization: Linear Programming, Network and Combinatorial Optimization, Integer Programming, Convex Analysis, Nonlinear Programming.
• Applied Mathematics: Discrete Math Models, Applied Graph Theory, Boolean Functions, Case Studies in Modeling, Numerical Analysis, Design and Analysis of Algorithms.
• Stochastic Operations Research: Probability, Statistical Inference, Stochastic Processes, Stochastic Programming.

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AFFLIATIONS

• American Mathematical Society (AMS)
• Institute for Operations Research and the Management Sciences (INFORMS)
• Mathematical Assosication of America ( MAA )
• Mathematical Programming Society (MPS)
• Society for Industrial and Applied Mathematics (SIAM)

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COMPUTER EXPERIENCE

• Mathematical Applications: Mathematica, Maple V, CPLEX.
• Programming Languages: C, C++, Pascal, FORTRAN.
• Operating Systems: Windows, DOS, Unix.
• Other: Assistant System Administrator, Summer - Fall, 1996.

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CITIZENSHIP

• United States of America

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