My interdisciplinary research is focused on the algorithmic and computational mathematics underpinnings of Imaging and Geometry Data Sciences, Computer Graphics, Bio-Informatics and Visualization with applications stemming from bio-medical engineering, physical and chemical sciences and bio-inspired architecture. My commitment to the field of computational and predictive medicine is evidenced by my research focus this past decade. I design and implement scalable solutions for : (a) forward and inverse problems in microscopy, spectroscopy, biomedical imaging; (b) constructing spatially realistic and hierarchical phenomenological models; (c) development of fast high-dimensional search/scoring engines for predicting energetically favorable multi-molecular and cellular complexes; and (d) statistical analysis and interrogative visualization of neuronal form-function. Additionally, I have courtesy appointments and supervise M.S and Ph.D. students from several UT departments, including, biomedical and electrical engineering, neurobiology, and mathematics. 

My research is currently sponsored by grants from the National Science Foundation (NSF) and the National Institutes of Health (NIH). 

 
My research publications are available here, as is my Curriculum Vitae. Click here for Google Scholar Citations

Selected Publications:

C. Bajaj (1986). "Proving Geometric Algorithm Non-Solvability: An Application of Factoring Polynomials", Journal of Symbolic Computation, 2(1):99-102

C. Bajaj (1988). "The Algebraic Degree of Geometric Optimization Problems", Discrete and Computational Geometry, 3(1):177-191

C. Bajaj, G. Xu (1999). "A-Splines: Local Interpolation and Approximation Using Gk- Continuous Piecewise Real Algebraic Curves", Computer Aided Geometric Design, 16(6):557-578

C. Bajaj, R. Chowdhury, V. Siddahanavalli (2011). F2Dock: Fast Fourier Protein-Protein Docking, IEEE/ACM Transactions on Computational Biology and Bioinformatics, 8(1):45-58, NIHMSID153460, http://tinyurl.com/NIHMSID153460, PMC Journal in Process, doi:10.1109/TCBB.2009.57

C. Bajaj, W. Zhao (2010). Fast Molecular Solvation Energetics and Force Computation, SIAM Journal on Scientific Computing, 31(6): 4524-4552, http://tinyurl.com/PMC2830669, PMCID: PMC2830669

Books:
"Algebraic Geometry and its Applications", Springer Verlag, (1994), C. Bajaj, editor J. Bloomenthal, C. Bajaj, J. Blinn, M. Gascuel, A. Rockwood, B. Wyvill, G. Wyvill (1997). "Introduction to Implicit Surfaces", Morgan Kaufman Publishers Inc. "Data Visualization Techniques", John Wiley and Sons, (1998), C. Bajaj, editor Algebra, Arithmetic and Geometry with Applications, Springer Verlag, (2004), C. Christensen, G. Sunderam, A. Sathaye, and C. Bajaj, editors

Selected Awards & Honors: 

• Best paper award at Computer Aided Design (CAD) 2006
• Best paper award at ACM Symposium on Solid and Physical Modeling (SPM) 2010
• Elected senior member of Institute of Electrical and Electronics Engineers (IEEE), 2007 - Present
• University of Texas Moncrief Grand Challenge Faculty Award, 2009
• Fellow of The American Association for the Advancement of Science (AAAS), 2008 - Present
• Fellow of the Association for Computing Machinery (ACM), 2009 - Present
• Fellow of University of Texas Institute for Cellular and Molecular Biology, 2010 - Present