Research Interests

Publications and Preprints

Contact

Affiliations

Awards

• 2007 : NSF CAREER Award (Algebraic Topology and Exterior Calculus in Numerical Analysis) (News)
• 2003 : SIAM Student Paper Competition, Honorable Mention (Discrete Exterior Calculus: Theory and Applications)

Teaching

• Spring 2008: CS 450 / CSE 401 / MATH 450 / ECE 491 Introduction to Numerical Analysis
• Fall 2007: CS 257 / MATH 257 Numerical Methods
• Spring 2007: CS 257 / MATH 257 Numerical Methods
• Fall 2006: CS 598ANH Symplectic Integrators and Discrete Mechanics
• Spring 2006: CS 450 / CSE 401 / MATH 450 / ECE 491 Introduction to Numerical Analysis
• Fall 2005: CS 598ANH Calculus on Meshes

Current Students

• Andrew Colombi (CS)
• Evan VanderZee (Mathematics). Co-advised with Vadim Zharnitsky, UIUC Math.

Group Alumni

• John Jossey (Postdoc), September 2006 - August 2007

Theses

• Ph.D Thesis, Discrete Exterior Calculus, Caltech, 2003 (advisor Jerrold E. Marsden). (BibTeX entry)
• M.S. Thesis, Linearization Methods for Variational Integrators and Euler-Lagrange Equations, Caltech, 2000.

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
  Thesis : Discrete Exterior Calculus
• 2000, M.S, Computer Science, Caltech
• 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