Alexander Vladimirsky

Condensed Timeline

Born in Odessa (USSR) in 1973.
Immigrated to USA in February 1991.
B.A. in Applied Mathematics from UC Berkeley in 1995.
Became a US citizen in August 1997.
Ph.D. in Applied Mathematics from UC Berkeley in 2001.
H.C.Wang Assistant Professor / NSF Postdoctoral Fellow at Cornell in 2001-2004.

Detailed CV (in PDF).

Teaching

Future:

Math 425 / CS 421, Numerical Analysis and Differential Equations, Fall 2008.

Math 191, Calculus for Engineers, Fall 2008.

Present:

Math 712, Differential Games, Optimal Control, Front Propagation, & Dynamic Programming, Spring 2008.

Past:

Math 619, Partial Differential Equations, Fall 2007.

Math 425 / CS 421, Numerical Analysis and Differential Equations, Fall 2007.

Math 428, Introduction To Partial Differential Equations, Spring 2007.

Math 122, Honors Calculus (2nd semester), Fall 2006.

Math 106, Calculus for the Life and Social Sciences, Spring 2006.

Math 425, Numerical Analysis and Differential Equations, Fall 2005.

Math 619, Partial Differential Equations, Fall 2005.

Math 224, Honors Linear Algebra and Calculus, Spring 2005.

Math 425, Numerical Analysis and Differential Equations, Fall 2004.

Math 613, Differential Games, Optimal Control, Front Propagation, & Dynamic Programming, Fall 2004.

Math 425, Numerical Analysis and Differential Equations, Fall 2003.

Math 122, Honors Calculus (2nd semester), Fall 2003.

Math 420, Differential Equations: A Dynamical Systems Approach, Spring 2002.

Cornell Mathematical Contest in Modeling : 2007-2008, 2006-2007, 2005-2006, 2004-2005, 2003-2004, 2002-2003.

Research Interests

My work so far has been in Numerical Analysis, Non-linear PDEs, and Dynamical Systems.
A brief description of several recent projects can be found here.

What follows is an unsorted list of my other mathematical interests:

* Control Theory & Differential Games * Front Propagation Problems * Anisotropy & Homogenization * Pareto & multi-modular optimization * Elimination Theory * Computability & Complexity * Approximate & Probabilistic Algorithms * Computational Geometry * Error Analysis

Publications

• J.A. Sethian and A. Vladimirsky.
  Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured meshes. Proc. Natl. Acad. Sci. USA 97/11: 5699-5703 (2000).

• J.A. Sethian and A. Vladimirsky.
  Ordered upwind methods for static Hamilton-Jacobi equations. Proc. Natl. Acad. Sci. USA 98/20: 11069-11074 (2001).

• J.A. Sethian and A. Vladimirsky.
  Ordered Upwind Methods for Hybrid Control. 5th International Workshop, HSCC 2002, Stanford, CA, USA, March 25-27, 2002, Proceedings (LNCS 2289: 393-406).

• J.A. Sethian and A. Vladimirsky.
  Ordered Upwind Methods for Static Hamilton-Jacobi Equations: Theory & Algorithms.
  SIAM J. on Numerical Analysis 41/1: 325-363 (2003).
  The first version had previously appeared as Center for Pure and Applied Mathematics Technical Report PAM-792 (University of California, Berkeley) in May 2001.

• J. Guckenheimer and A. Vladimirsky.
  A fast method for approximating invariant manifolds.
  SIAM J. on Applied Dynamical Systems 3/3: 232-260 (2004).

• B. Krauskopf , H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge.
  A survey of methods for computing (un)stable manifolds of vector fields.
  Int. J. Bifurcation and Chaos 15(3): 763-791 (2005).

• A. Vladimirsky.
  Static PDEs for Time-Dependent Control Problems.
  Interfaces and Free Boundaries 8/3: 281-300 (2006).

• Z. Ren, S.B. Pope, A. Vladimirsky, and J.M. Guckenheimer.
  The invariant constrained equilibrium edge preimage curve method for the dimension reduction of chemical kinetics. J. Chem. Phys. 124, 114111 (2006).
  (Small print: Copyright (2006) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.)

• Z. Ren, S.B. Pope, A. Vladimirsky, and J.M. Guckenheimer.
  Application of the ICE-PIC method for the dimension reduction of chemical kinetics coupled with transport.
  Proceedings of the Combustion Institute 31, 473-481 (2007).

• T. Sahai and A. Vladimirsky.
  Numerical methods for approximating invariant manifolds of delayed systems.
  submitted to SIAM J. on Applied Dynamical Systems.

• A. Vladimirsky.
  Label-setting methods for Multimode Stochastic Shortest Path problems on graphs.
  accepted by Mathematics of Operations Research; to appear.

An outdated programming resume (from my days as a software consultant).