Research Interest

Publications     CV     Citations     Software     Discrete Exterior Calculus (DEC)

Computational Bootcamp: Learn Python programming and computational methods in 10 days.

Teaching

• Spring 2018 (Second Half): MATH 595 Calculus on Meshes
• Spring 2018: MATH 461 Probability Theory
• Fall 2017: MATH 423 Differential Geometry
• Spring 2017: MATH 553 Partial Differential Equations
• Fall 2016: MATH 461 Probability Theory
• Summer 2016: CBMG16 Computational Bootcamp
• Fall 2015: MATH 285 Introduction to Differential Equations
• Spring 2015: MATH 286 Introduction to Differential Equations Plus
• Fall 2014: MATH 595 TTA Top 10 Algorithms of 20th and 21st Century (with Y. Baryshnikov)
• Summer 2014: CBMG 2014 Computational Boot camp for Mathematics Graduate Students
• Fall 2013: MATH 285 Introduction to Differential Equations
• Spring 2013: CS 450 / CSE 401 / ECE 491 / MATH 450 Numerical Analysis
• Fall 2012: CS 357 / MATH 357 Numerical Methods I
• Spring 2012: CS 555 / MATH 552 / CSE 510 Numerical Methods for PDEs
• Fall 2011: CS 450 / CSE 401 / ECE 491 / MATH 450 Numerical Analysis
• Fall 2011: CS 199ANH (Discovery Course) What is Shape ? A Computer Based Exploration
• Spring 2011: CS 555 / MATH 552 / CSE 510 Numerical Methods for PDEs
• Fall 2010: CS 357 / MATH 357 Numerical Methods I
• Spring 2010: CS 555 / MATH 552 / CSE 510 Numerical Methods for PDEs
• Fall 2009: CS 558 / CSE 513 Laplacians on Networks and Meshes (Topics in Numerical Analysis)
• Spring 2009: CS 450 / CSE 401 / MATH 450 / ECE 491 Introduction to Numerical Analysis
• Fall 2008: CS 558 / CSE 513 Calculus on Meshes (Topics in Numerical Analysis)
• 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

Group Alumni

• Kaushik Kalyanaraman, Completed Ph.D. in CS, November 2015. Now an Assistant Professor of Mathematics at IIIT-Delhi, India.
• Evan VanderZee, Completed Ph.D in Mathematics, December 2009. Now at Argonne National Lab.
  Coadvised with Vadim Zharnitsky of Mathematics department.
• Andrew Colombi, Completed Ph.D in CS, August 2008. Now at Palantir in Silicon Valley.
• John Jossey (Postdoc), September 2006 - August 2007. Now Senior Manager at RBC Capital Markets in Canada.

Awards

• 2012 : Best Paper Award (Second Place) in Solid and Physical Modeling 2012, for paper Delaunay Hodge Star.
• 2007 : NSF CAREER Award, Division of Mathematical Sciences (Algebraic Topology and Exterior Calculus in Numerical Analysis)

Short CV

• 2013-, Associate Professor, University of Illinois at Urbana-Champaign, Department of Mathematics
• 2005-2013, 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
  Ph.D Thesis, Discrete Exterior Calculus ( Abstract, PDF, BibTeX)
• 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
  

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