Anil N. Hirani
Assistant Professor of Computer Science
University of Illinois at Urbana-Champaign
Research Interests
Algorithms (numerical and
combinatorial) in geometry and topology, applications of geometry and
topology, and numerical analysis. Specific areas: discrete exterior
calculus, finite element exterior calculus, applied and computational
topology, discrete differential geometry, computational geometry.
News
- New April 26, 2012: DDG@SoCG
(Discrete Differential Geometry: Geometry Processing and Physical
Simulations) website is now live and has the list of confirmed
speakers and registration info. This is a special workshop I am
co-organizing with Mathieu Desbrun
on June 18 at this year's ACM Symposium on Computational Geometry at
UNC Chapel Hill.
- New April 2, 2012: Just posted
a paper on Delaunay Hodge star. We define a signed dual volume and
show that DEC Hodge star can be defined for Delaunay meshes under
mild boundary assumptions. This opens up use of DEC on a much wider
class of meshes. See arxiv.
- New March 5, 2012: Alan Demlow
and I have just posted our paper on adaptive finite element exterior
calculus on arxiv.
- New
February 29, 2012: Our PyDEC paper has been accepted by ACM
Transactions on Mathematical Software. PyDEC is a Python library
that implements (i) discrete exterior calculus, (ii) lowest order
finite element exterior calculus; and (iii) many objects and
operators useful for experiments in topology. See the preprint on
arxiv.
- February 1, 2012: NSF-CBMS lecture series on Finite Element Exterior
Calculus website is up. The Institute for Computational and
Experimental Research in Mathematics (ICERM) at Brown University is
hosting the series. Prof. Doug Arnold (keynote speaker, 10
lectures), Prof. Richard Falk, and I will be speakers (I'll give 1
lecture).
- February 21, 2011: See our NCAA basketball rankings
and predictions page.
- December 13, 2010: Open problem solved: Least spanning
area problem for knots in R^3 is in P.
ACM Symposium on
Computational Geometry (SoCG), 2011. See paper
for details.
- February 5, 2010: Going from binary to integer coefficients
makes an NP-hard problem tractable.
Papers in ACM Symposium on
Theory of Computing, 2010, and SIAM Journal on Computing.
(Details)
- May 22, 2009: Open problem solved : Dihedral acute
triangulation of cube. (Details)
Award
2007 :
NSF CAREER Award
(Algebraic Topology and Exterior Calculus in Numerical Analysis)
Teaching
Group Alumni
Short CV
- 2005-current, Assistant Professor,
University of Illinois at Urbana-Champaign,
Department of Computer Science
- 2004-05, Senior Engineer,
Jet Propulsion Laboratory Guidance, Navigation and Control Section
- 2003-04, CIMMS
Postdoctoral Scholar,
California Institute of Technology
(Caltech),
Control and Dynamical Systems
- 2003, Ph.D,
California Institute of
Technology (Caltech),
(Advisor:
Jerrold E. Marsden),
Ph.D in Computer Science with minors
in Mathematics and
Control and Dynamical Systems
- Engineer, Sony Corporation
- Software Engineer, Sun Microsystems
- M.S, Computer Science (Theoretical track),
Stanford University
- Undergraduate degree, Computer Science
Birla Institute of Technology and Science (BITS), Pilani, India
Affiliations
Department of Computer Science,
Computational Science and
Engineering Program,
Applied Mathematics Program
Contact
E-mail: hirani at cs dot illinois dot edu;
Office: 4320 Siebel Center;
Phone: (217) 333 2727
Address: Department of Computer Science, 201 N. Goodwin Ave., Urbana, IL 61801.
Page maintained by Anil Hirani.
Last modified: Thu Apr 26 08:35:56 CDT 2012