- August 2015: Submitted paper on discretization of Navier-Stokes using discrete exterior calculus (joint with Mamdouh Mohamed and Ravi Samtaney of KAUST). We discretized the nonlinear convection term using an algebraic discretization of contraction and a combinatorial discretization of wedge product. These discretization formulas first appeared in my 2003 dissertation.
- August 2015: Submitted paper on blood perfusion in retina using a hierarchical porous media flow model. The computations were setup using our Python library PyDEC. Our computations show that the curvature of the retina does play a role in blood flow in retina. Title: "Effect of ocular shape and vascular geometry on retinal hemodynamics: a computational model".
- June 2015: Our Darcy flow paper has now appeared in print.
- June 2014: I taught CBMG
2014:
**C**omputational**B**oot camp for**M**athematics**G**raduate students. This was a 2 week, intensive, hands-on introduction to computation aimed at mathematics graduate students. The boot camp was aimed at preparing students to use computations for solving mathematical problems in science and engineering. - February 2014: Hal Schenck and I co-organized a workshop on Applied Geometry and Topology as part of the IMSE Symposium on Hot Topics at the Interface of Mathematics and Engineering.

Older news.

- 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

- Evan
VanderZee, Completed Ph.D in Mathematics, December
2009. Now at Argonne National
Lab.

Coadvised with Vadim Zharnitsky of Mathematics department. - Andrew Colombi, Graduated with Ph.D in CS, August 2008. Now at Palantir in Silicon Valley.
- John Jossey (Postdoc), September 2006 - August 2007. Now in finance industry at RBC Capital Markets.

- 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*)

- 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

Mailing Address: Department of Mathematics, 1409 W. Green St., M/C 382, Urbana, IL 61801.

Page maintained by Anil Hirani. Last modified: Fri Aug 19 14:31:00 CST 2015