Dr. Nicoleta Bila
Associate Professor in Mathematics
Office: Science & Technology 412
Phone: (910) 672-2204
Email: nbila@uncfsu.edu
BIOGRAPHY
Currently an Associate Professor of Mathematics, Dr. Bila joined Fayetteville State University in August 2006. She graduated from University of Bucharest, Romania, in 1990 with a B. Sc. and M. Sc. in Mathematics. In 1999, she obtained her Ph.D. in Differential Geometry from University "Politehnica" of Bucharest, Romania, where she also worked as an Instructor and an Assistant Professor for more than 8 years. Dr. Bila spent almost 5 years in research, working as a Postdoctoral Research Associate at the University of Kent at Canterbury and University of Cambridge, United Kingdom and at Johannes Kepler University and Johann Radon Institute for Computational and Applied Mathematics, Austria.
She has conducted research with high school, undergraduate and graduate students and has been a founder and a faculty mentor for the FSU Student Chapter of the Association for Women in Mathematics. Her research work features in peer-reviewed journal articles, conference articles, and technical reports. She has received external travel awards to attend and to present her research from the European Commission for Young Researchers, Spezialforschungsbereich Austria, Isaac Newton Trust, Meteorological Office and London Mathematical Society United Kingdom, and Association for Women in Mathematics. Dr. Bila has reviewed research articles for competitive peer-reviewed journals, organized special session at international conferences, and participated as a Subject Matter Expert for many publishing companies. She received departmental awards for service to the profession and for advising. Dr. Bila is a member of the American Mathematical Society and the Association for Women in Mathematics.
TEACHING
Dr. Bila's teaching experience spans over 19 years and ranges from high school through graduate level. At Fayetteville State University, Dr. Bila has taught: Math 121, Math 123, Math 129, Math 130, Math 131, Math 142, Math 241, math 242, Math 260, Math 331, and Math 340.
"I strongly believe that students' lives and careers are influenced by their teachers. In my case, I was fortunate to learn mathematics from dedicated teachers who inspired me throughout my student life and beyond. Likewise, I aspire and wish to provide the same experience for all my students."
RESEARCH INTERESTS
Applied Mathematics
Symmetry analysis of differential equations
Applications of symmetry analysis to mathematical biology, engineering, financial mathematics, and other research fields
Geometric approach to parameter identification problems
Symbolic manipulation programs
Nonlinear partial differential equations
Mathematical models described by differential equations
Tzitzeica surfaces and curves
SELECTED PUBLICATIONS
N. Bila, On a new method for finding generalized equivalence transformations for differential equations involving arbitrary functions, Journal of Symbolic Computation, Volume 46, 6(2011), pages 659-671
N. Bila, J. Niesen, A new class of symmetry reductions for parameter identification problems, Journal of Nonlinear Mathematical Physics, 16, 3 (2009) 355-371
N. Bila, E. L. Mansfield, P. A. Clarkson, Symmetry group analysis of the shallow water and semi-geostrophic equations, The Quarterly Journal of Mechanics and Applied Mathematics, 59, 1(2006), 95-123
N. Bila, Symmetry groups and Lagrangians associated with Tzitzeica surfaces, Balkan Journal of Geometry and its Applications, 10, 1(2005), 73-91
N. Bila, Application of symmetry analysis to a PDE arising in the car windshield design, SIAM Journal on Applied Mathematics, 65, 1(2004), 113-130
N. Bila, J. Niesen, On a new procedure for finding nonclassical symmetries, Journal of Symbolic Computation, 38, 6(2004), 1523-1533
N. Bila, Symmetry Groups and Conservation Laws of Certain Partial Differential Equations, Balkan Journal of Geometry and its Applications 5, 1(2000), 39-56
C. Udriste, N. Bila, Symmetry Groups of Tzitzeica Surfaces PDE, Balkan Journal of Geometry and its Applications 4, 2(1999), 123-140
C. Udriste, N.Bila, Symmetry Lie Group of Monge-Ampere Equation, Balkan Journal of Geometry and its Applications 3, 2(1998), 121-133