Anil N. Hirani

Professor, Department of Mathematics

University of Illinois at Urbana-Champaign

Research:   I am interested in the interplay between geometry/topology and algorithms. My main research area is structure-preserving discretizations of differential calculus on manifolds and of differential geometry. By discretization, I mean a combinatorial version of calculus and differential geometry. The structures preserved are some of the algebraic properties of spaces, operators and objects being discretized. (An example is the first theorem in the paper on vector bundles.) The structures in such discretizations are mathematically interesting in their own right and can be used for numerical solution of partial differential equations (PDEs), computation of geometric properties of spaces, and for many other applications. Current and recent research interests:

Industry: Before I became a Math faculty member I was a faculty member in CS and before that I worked as a computer graphics software engineer (Sun Microsystems), image processing industrial researcher (SONY Corp.) and space mission designer (NASA Jet Propulsion Lab). I like to keep in touch with industry via collaboration and consulting.

Publications     Citations     Software     Discrete Exterior Calculus (DEC)

Teaching (Spring 2023):

Graduate Students:

Co-advised partially:

Previous Recent Teaching (last few years):

Short CV:

Contact:   hirani at illinois dot edu, 375 Altgeld Hall, (217) 333 2727
Mailing Address: Department of Mathematics, 1409 W. Green St., M/C 382, Urbana, IL 61801.

Page maintained by Anil Hirani. Last modified: Thu Nov 23 12:11:06 CST 2023