Contact Information
375 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Description
Geometry and Topology (applied and computational), Numerical Analysis, Computational Physics.
Education
PhD, Caltech, 2003
External Links
Honors & Awards
NSF CAREER Award, "Algebraic Topology and Exterior Calculus in Numerical Analysis," 2007–2012
Recent Publications
Hirani, A. N., Kalyanaraman, K., Wang, H., & Watts, S. (2023). Computing discrete harmonic differential forms in a given cohomology class using finite element exterior calculus. Computational Geometry: Theory and Applications, 109, [101937]. https://doi.org/10.1016/j.comgeo.2022.101937
Karve, V., & Hirani, A. N. (2020). The complete set of minimal simple graphs that support unsatisfiable 2-CNFs. Discrete Applied Mathematics, 283, 123-132. https://doi.org/10.1016/j.dam.2019.12.017
Mohamed, M. S., Hirani, A. N., & Samtaney, R. (2018). Numerical convergence of discrete exterior calculus on arbitrary surface meshes. International Journal for Computational Methods in Engineering Science and Mechanics, 19(3), 194-206. https://doi.org/10.1080/15502287.2018.1446196
Dziubek, A., Guidoboni, G., Harris, A., Hirani, A. N., Rusjan, E., & Thistleton, W. (2016). Effect of ocular shape and vascular geometry on retinal hemodynamics: a computational model. Biomechanics and Modeling in Mechanobiology, 15(4), 893-907. https://doi.org/10.1007/s10237-015-0731-8
Mohamed, M. S., Hirani, A. N., & Samtaney, R. (2016). Comparison of discrete Hodge star operators for surfaces. CAD Computer Aided Design, 78, 118-125. https://doi.org/10.1016/j.cad.2016.05.002