Liliana Borcea

Liliana Borcea
Name	Liliana Borcea
Fields	Applied mathematics, Partial Differential Equations, inverse problems, wave propagation
Workplaces	Stanford University, University of Michigan
Alma mater	University of Bucharest, California Institute of Technology
Doctoral advisor	George C. Papanicolaou
Known for	Mathematical analysis of waves, inverse scattering, imaging
Awards	Sloan Research Fellowship, SIAM Fellow

Liliana Borcea is a Romanian-born applied mathematician known for her work on mathematical analysis of wave propagation, inverse problems, and imaging in complex media. She holds a professorship at Stanford University and has held positions at the University of Michigan, contributing to interdisciplinary collaborations with researchers in electrical engineering, geophysics, and optics. Her research intersects theory and computation, impacting areas such as seismic imaging, medical imaging, and remote sensing.

Early life and education

Born in Romania, Borcea completed undergraduate studies at the University of Bucharest before pursuing graduate work at the California Institute of Technology, where she earned a Ph.D. under the supervision of George C. Papanicolaou. During her formative years she interacted with scholars from institutions like Princeton University, Massachusetts Institute of Technology, and Courant Institute through conferences and visiting programs. Her doctoral training bridged mathematical analysis familiar to researchers at the Institute for Advanced Study and applied communities associated with Los Alamos National Laboratory and Lawrence Berkeley National Laboratory.

Academic and professional career

Borcea served on the faculty of the University of Michigan before joining the faculty at Stanford University, where she has appointments that collaborate with departments including Mathematics, Applied Physics, and Electrical Engineering. She has held visiting positions at institutions such as the University of Cambridge, ETH Zurich, and the American Mathematical Society conferences, and has been involved with research centers like the Center for Nonlinear Studies and the Mathematical Sciences Research Institute. Her career includes collaborations with scientists from Shell, Schlumberger, and national labs including Argonne National Laboratory and Oak Ridge National Laboratory.

Research contributions and publications

Borcea's research focuses on wave propagation in random media, inverse scattering theory, and imaging methodologies, producing influential work cited across disciplines including geophysics, medical imaging, and nondestructive testing. She developed analytical frameworks related to parabolic scaling and homogenization used by scholars at Stanford Linear Accelerator Center and in studies supported by the National Science Foundation and the Multidisciplinary University Research Initiative. Her publications appear in journals read by members of Society for Industrial and Applied Mathematics, Physical Review Letters, and Journal of the Acoustical Society of America, and are referenced by researchers affiliated with Seismic Research Program teams and National Institutes of Health-funded imaging groups. Collaborative works link her to authors from Columbia University, New York University, University of California, Berkeley, University of Texas at Austin, and Yale University.

Awards and honors

Borcea has been recognized with awards including a Sloan Research Fellowship and election as a SIAM Fellow, distinctions also held by colleagues at institutions such as Harvard University, University of Chicago, and Princeton University. Her honors include grants and recognitions from agencies like the National Science Foundation, the Office of Naval Research, and European organizations such as the European Research Council. She has been invited to give plenary and distinguished lectures at meetings of the American Mathematical Society, SIAM, and the European Mathematical Society.

Teaching and mentorship

At Stanford University and University of Michigan, Borcea has taught courses that attract graduate students from departments including Mathematics, Electrical Engineering, and Applied Physics. Her mentees have continued to positions at institutions like University of Toronto, Imperial College London, University of California, Los Angeles, Princeton University, and Johns Hopkins University. She has supervised doctoral dissertations and collaborated on projects supported by the Fulbright Program and the National Science Foundation Graduate Research Fellowship program.

Service and professional activities

Borcea has served on editorial boards of journals published by Society for Industrial and Applied Mathematics, participated in program committees for conferences organized by IEEE, SPIE, and SIAM, and reviewed proposals for agencies including the National Science Foundation, Department of Energy, and National Institutes of Health. She has been active in organizing workshops at venues such as the Mathematical Sciences Research Institute, the Institute for Pure and Applied Mathematics, and the Banff International Research Station, and has collaborated on interdisciplinary initiatives with organizations like Lawrence Livermore National Laboratory and NASA.

Category:Living people Category:Romanian mathematicians Category:American mathematicians Category:Applied mathematicians