Gary Rosen

Chairman and Professor of Mathematics
Contact information

Office: KAP 104B

Tel:  (213) 740-1717

Fax: (213) 740-2424


Research Interests

Professor Rosen’s research projects are of a multidisciplinary nature and cut across departmental and school boundaries. The author of some 100 papers in a variety of fields, his research focuses on the mathematical modeling and control of systems, especially complex systems with infinite dimensions or distributed parameters.

Collaborating with engineers and other scientists in academics, industry and government laboratories, Rosen is developing new mathematical models and techniques for a number of different applications, including systems for the manufacture and optimal design of nanoscale semiconductors, modeling and forecasting space weather in the ionosphere, and for suppressing potentially damaging noise—like that produced by the opening of an airbag inside a car in an accident—in products from the aerospace, automotive and computer industries.  Rosen’s research is either currently or has in the past been funded by the National Science Foundation, the Department of Defense (DARPA, ONR and AFOSR) and the National Institutes of Health (NIAAA). 

In one especially promising project, Rosen has been working on a mathematical model of the body’s metabolism of alcohol. The model has allowed the development of a new device designed to allow the non-invasive determination of blood alcohol levels. The work has progressed to the point that Rosen is now testing a prototype of a wristwatch-like computer that would allow wearers to easily make sure they are under the legal limit within seconds.

A biosensor on the wristwatch prototype gathers data from body sweat that can be transmitted via real-time radio waves to the computer, which estimates and displays the blood-alcohol concentration.

Rosen joined the USC College faculty as an assistant professor in 1984, earning tenure in 1987 and the rank of full professor in 1993. Rosen has served as a consultant in industry, government and academia, and currently works with companies such as D-Star Technologies and Stone Lions Environmental Corporation.

A member of the College’s Center for Applied Mathematical Sciences, Rosen serves on the executive board and, between 1998–2002, was associate director. He is the past vice-chair of both the applied math program and graduate studies in the mathematics department and is currently department chair . He is an associate editor of the IEEE’s Transactions on Control Systems Technology and Control Systems Society Conference Editorial Board.

Born in Long Beach, New York, Rosen attended Brown University, where he earned an undergraduate degree in mathematics before completing a Sc.M. and, in 1980, a doctorate in applied mathematics. Before coming to USC, Rosen was a faculty member at Bowdoin College in Brunswick, Maine, a member of the technical staff at The Charles Stark Draper Laboratories in Cambridge Massachusetts, and a visiting scientist and consultant at the Institute for Computer Applications in Science and Engineering at NASA’s Langley Research Center.

Educational Summary

■  Sc.B    in Mathematics, Brown University, Providence, RI   June 1975

■  Sc.M.   in Applied Mathematics, Brown University, Providence, RI  June 1976

■  Ph.D.   in Applied Mathematics, Brown University, Providence, RI  June 1980

                         Dissertation:   "A Discrete Approximation Framework for Hereditary Systems"

                             Advisor:           Professor H.T. Banks

Selected Publications

 ■ On-Line Robust Parameter Identification for Parabolic Systems (with M. Demetriou), International Journal of Adaptive Control and Signal Processing, Vol 15, 2001, pp. 615-631.

■ Modeling and Validation of Sensor and Actuator Dynamics for Real Time Adaptive Control of Thermal Chlorine Etching of Gallium Arsenide (with T. Parent, R. Mancera, P.  Chen, and A. Madhukar), Proceedings of 1999 Spring Meeting of Material Research  Society (MRS), April 5-9, 1999, San Francisco, CA, Symposium U, In-situ Process  Diagnostics and Modeling, (O. Auciello, A. R. Krauss, E. A. Irene, and J. A. Schultz, eds.) Vol 569, Materials Research Society, 1999, pages 159-165.

  ■ In-Situ Spectroscopic Ellipsometry for the Real-Time Process Control of Plasma Etching of Silicon (with T. Parent, B. Fidan, and A. Madhukar), Proceedings of 1999 Fall Meeting of Material Research  Society (MRS), Nov 29-Dec 3, 1999, Boston, MA , Symposium S, Non Destructive Methods for Materials Characterization, (T. Matikas, N. Meyendorf, G. Baaklini and R. Gilmore, eds.) Vol 591, Materials Research Society, 2000, pp. 263-268.

■   Investigations and Modeling of Sulfuric Acid Corrosion of Concrete Part II: Electrochemical and Visual Observations (with F. Jahani, J. Devinny, F. Mansfeld, Z. Sun  and C. Wang), ASCE Journal of Environmental Engineering, Vol 127, No.7, July, 2001,  pp. 580-585.

■  Modeling and Simulation of Thermal Chlorine Etching of Gallium Arsenide with  Application to Real-Time Feedback Control (with T. Parent, R. Mancera, P. Chen, and Madhukar), Mathematical and Computer Modeling, Vol 35, 2002,pp. 335-360.

■ Adaptive Control of a UV Laser Fiber Optic Diffraction Grating Writing System, (with Skorucak C. Wang, and J. Feinberg), in preparation.

■  An Adjoint Based Approach to Data Assimilation for a Distributed Parameter Model for the Ionosphere(with G. Hajj, X. Pi, C. Wang, and B. Wilson), Proceedings of  the 40th IEEE Conference on Decision and Control, Orlando, Florida, December 4-7,2001, Volume 5,  pp 4406-4408.

■ Adaptive Control and Estimation of Distributed Parameter Systems, (with M. Demetriou), A volume in the Frontiers of Applied Mathematics Series, Society of Industrial and Applied Mathematics (SIAM), approved by editorial board and in preparation.

■ Variable Structure Model Reference Adaptive Control of Parabolic Distributed Parameter Systems (with M. A. Demetriou), Proceedings of 2002  American Control Conference, May 8-10, 2002, Anchorage, Alaska, Volume 6,  pp 4371-4376.

■  Development of a Global Assimilative Ionospheric Model (with C. Wang, G. Hajj, X. Pi, and B. Wilson), Journal of  Radio Science, Vol 39, 2004.

■  Estimation of E×B Drift Using Global Assimilative Ionospheric Model: An Observation System Simulation Experiment (with C. Wang, G. Hajj, X. Pi, and Wilson), Journal of Geophysical Research, Vol 108, No. A2, 1075 2003, pp. 1-13.

■  Distributed Parameter Modeling, Estimation, Simulation, and Deconvolution of Transdermal Transport of Alcohol in Humans (with M. Dumett,  J. Sabat, A. Shamam, R. Swift, L. Tempelman, and C. Wang), IEEE Transactions on Biomedical Engineering. Submitted.

■   Data Assimilation of Ground GPS Total Electron Content into a Physics Based Ionospheric Model by Use of the Kalman Filter (with G. A. Hajj, B. D. Wilson, X. Pi, C. Wang), Journal of Radio Science, Vol 39, 2004.

■   Inversion of the Measurement of Transdermal Ethanol in Perspiration to Obtain Blood Alcohol Concentration and Ingested Alcohol, (with M. Dumett,  J. Sabat, R. Swift, L. Tempelman, and C. Wang), in preparation, to be submitted to Inverse Problems, 2006.

■  A Novel Application of the Adjoint Method in the Optimal Design of Nanoscale Layered Semiconductor Devices (with A. Levi, P.    Schmidt and R. Morford), in preparation.


  • USC Dornsife
  • Department of Mathematics
  • Modeling and Simulation Lab
  • Kaprielian Hall 244