Anil N. Hirani
Assistant Professor of Computer Science
University of Illinois at Urbana-Champaign
- New   October 30, 2012: Our Delaunay Hodge Star
paper just won the Best Paper Award (Second Place) in Solid and
Physical Modeling 2012 (Second out of 38 papers).
- New   September 21, 2012: Our
paper Geometric and
Combinatorial Properties of Well-Centered Triangulations in Three
and Higher Dimensions has been accepted in Computational
Geometry: Theory and Applications. On the plane a vertex needs
at least 5 neighbors to allow for well-centered (acute)
triangles. How many does one need in three dimensional space ?
This paper answers these and many other related questions.
- July 30, 2012: Our Delaunay Hodge Star
paper accepted for Solid and Physical Modeling (SPM 2012)
conference and Computer-Aided Design journal. We show in
this paper that the dual lengths, areas, volumes etc. for a
Voronoi dual can be assembled from signed elementary duals if
the primal is Delaunay. (You have to read the proofs to see
this point.) See paper for
details. By the way the SPM acceptance rate this year was
- I am co-organizing (with Yuliy Baryshnikov and Susan Holmes) Topology
and Geometry of Networks and Discrete Metric Spaces as part of
the 2013-14 IMA Thematic Year on Scientific and Engineering
Applications of Algebraic Topology.
- 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.
- 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.
- March 5, 2012: Alan Demlow and I have just posted our paper on
adaptive finite element exterior calculus on arxiv.
- 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
- 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
- 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 (and similarly for knots in
other orientable 3-manifolds with trivial 2-homology group). ACM
Symposium on Computational Geometry (SoCG), 2011. See paper
- February 5, 2010: Going from mod 2 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)
- 2012 : Best Paper Award (Second Place) in Solid and Physical Modeling
2012, for paper Delaunay
- 2007 : NSF CAREER Award, Division of Mathematical Sciences
(Algebraic Topology and Exterior Calculus in Numerical Analysis)
Discrete Exterior Calculus
Caltech, 2003 (advisor
Jerrold E. Marsden).
- M.S. Thesis, Linearization Methods for Variational Integrators
and Euler-Lagrange Equations, Caltech, 2000.
- 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
California Institute of Technology
Control and Dynamical Systems
- 2003, Ph.D,
California Institute of
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),
- Undergraduate degree, Computer Science
Birla Institute of Technology and Science (BITS), Pilani, India
Department of Computer Science,
Computational Science and
Applied Mathematics Program
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: Wed Dec 12 09:45:41 CST 2012