Office Location: | 7619D Mathematical Sciences, UCLA |

Office Phone: | (310) 825-4340 |

Email Address: | |

Web Page: | http://www.math.ucla.edu/~bertozzi |

**Education:**- Ph.D. in Mathematics, Princeton Univ., 1991 M.A. in Mathematics, Princeton Univ., 1988 A.B. in Mathematics, Princeton Univ., 1987

**Specialties:**-
Applied Math

Analysis

**Research Interests:***Nonlinear Partial Differential Equations, Applied Mathematics, Thin films, Image Processing, Swarming*I am interested in applied problems involving nonlinear PDE. Most of my research is directly in or motivated by fluid dynamics. I study problems in thin liquid films, nonlinear PDE for image processing, and nonlinear dynamics of swarms.

**Current Ph.D. Students**- Ben Cook (UCLA Math)
- Julia Dubrosotksaya (UCLA Math)
- Alan Gillette (UCLA Math)
- Hsiang-Wei Lu (UCLA MAE)
- Yao-Li Chuang (Dept. of Physics)

**Postdocs Mentored**- Dejan Slepcev (UCLA Math) (2005/02-present)
- Maria D'Orsogna (UCLA Math) (2004 - present)
- John Greer (2004/01-2004/08)
- Daniel Marthaler (September 5, 2002 - September 1, 2004)
- Chad Topaz (2002/09-present)
- Linda Smolka (2002/03-2002/09)
- Jeanman Sur (2001/02-2004/02)
- Ning Ju (2000/09-2002/07)
- Mark Bowen (2000/02-2001/12)
- Andreas Münch (1998/03-1999/04)
- Lou Kondic (1997/09-1999/08)

**Recent Publications**- A. L. Bertozzi and J. B. Greer,
*Low-curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes*, Communications On Pure And Applied Mathematics, vol. 57 no. 6 (June, 2004), pp. 764 -- 790 - T. P. Witelski and A. J. Bernoff and A. L. Bertozzi,
*Blowup and dissipation in a critical-case unstable thin film equation*, European Journal Of Applied Mathematics, vol. 15 (April, 2004), pp. 223 -- 256 - Chad Topaz and Andrea L. Bertozzi,
*Swarming dynamics and pattern formation in a model for biological group motion*, to appear in SIAM J. Appl. Math. (Accepted, March, 2004) - C. M. Topaz and A. L. Bertozzi,
*Swarming patterns in a two-dimensional kinematic model for biological groups*, Siam Journal On Applied Mathematics, vol. 65 no. 1 (2004), pp. 152 -- 174 - Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi,
*Shock dynamics in particle-laden thin films*(Submitted, 2004)

- A. L. Bertozzi and J. B. Greer,