Name:    Cristina Mariana POPOVICI
Office:   Wean Hall 6213, (412)268-6828
Address:  Department of Mathematical Sciences
                  Carnegie Mellon University
                  Pittsburgh, PA 15213
Phone:    1-(412)268-2545
Fax:         1-(412)268-6380
E-mail:   cristina@andrew.cmu.edu
Webpage: http://www.math.cmu.edu/~cristina

Education

Ph.D.  in Mathematical Sciences -Applied Analysis Program - Carnegie Mellon University (April 2005)
Ph.D. Advisor: Professor Irene Fonseca

M.Sc. in Mathematical Sciences, Carnegie Mellon University, December 2000

Bachelor Degree in Mathematical Sciences, University of Craiova, Romania, June 1997
Bachelor Thesis Title: Hahn-Banach Type Theorems in Functional Analysis
Bachelor Thesis Advisor: Professor Vicentiu Radulescu
 

Research Interests

Partial Diferential Equations, Calculus of Variations, Continuum Mechanics.
 

Publications

I. Fonseca and C. Popovici, A homogenization result in the gradient theory of phase transitions.Scientific Report 05-CNA-009, Center for Nonlinear Analysis, Carnegie Mellon University (2005). Submitted

I. Fonseca and C. Popovici, Coupled Singular Perturbations for Phase Transitions. To appear in Asymptotic Analysis
 

Talks given while in residence at Carnegie Mellon

Coupled Singular Perturbations for Phase Transitions, Joint Mathematics Meetings, Atlanta, GA, January 2005

Coupled Singular Perturbations for Phase Transitions, Applied Mathematics Seminar, University of Utah, November 2004

Coupled Singular Perturbations for Phase Transitions, Mathematical Sciences Graduate Student Workshop, Carnegie Mellon University, May 2004

Periodic Solutions and Homogenization of Nonlinear Variational Problems (three 1 hour lectures), Partial Differential Equations Seminar, Department of Mathematical Sciences,  Carnegie Mellon University, February 2002

Oscillations and Concentrations of W^{1,p} - weakly converging sequences (three 1-hour lectures), Partial Differential Equations and Kinetic Theory Seminar, Department of Mathematical Sciences, Carnegie Mellon University, April 2001
 
 

Teaching Experience at Carnegie Mellon University

I was an Instructor  for the following courses:

  21-122 Integration, Differential Equations, and Approximation - Summer 2004
  21-259 Calculus in Three Dimensions - Summer 2003
  21-260 Differential Equations - Summer 2002
  21-117 Integral Calculus and Differential Equations - Summer 2001, Summer 2000
  21-118 Calculus of Approximations - Summer 2001, Summer 2000
 

I have conducted recitation sessions for the following courses:

  21-127 Concepts of Mathematics - Spring 2003
  21-259 Calculus in Three Dimensions - Fall 2002, Spring 2002,  Fall 1999
  21-117 Integral Calculus and Differential Equations - Fall 2001, Spring 2000
  21-118 Calculus of Approximations - Fall 2001, Spring 2000
  21-260 Differential Equations - Spring 2001,  Fall 2000
 
 

Participation in conferences/workshops/summer schools
 

Joint Mathematics Meetings, Atlanta, GA, January 2005

2004 CNA Summer School: Advances in Nonlinear Analysis,  Carnegie Mellon University,
Pittsburgh, PA, May 27-June 5, 2004

SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles, CA, May 2004

Joint Mathematics Meetings, Phoenix, AZ, January 7-10, 2004

Advances in Nonlinear Analysis, Pittsburgh, PA, May 30 - June 1, 2003

US/EU Meeting on Phase Transitions in Crystals and TMR Annual Meeting, Minneapolis, April 11-13, 2003

Inverse Problems and Non-Linear Analysis, Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, January 6-18, 2003 (supported by a NSF Travel  Grant)

Nonlinear Differential Equations, Mechanics and Bifurcation- A conference in honor of  David G. Schaeffer, Duke University, May 2002 (supported by a NSF Travel Grant).

49th Midwest PDE Seminar and Conference in Honor of David Adams, Ron Gariepy and John Lewis, University of Kentucky, March 2002 (supported by a NSF Travel Grant).

2001 CNA Summer School-Multiscale Problems in Nonlinear Analysis, Carnegie Mellon University, June 2001.

Fifth Mississippi State Conference on Differential Equations and Computational Simulations, Mississippi State University, May 2001 (supported by a NSF Travel Grant).

Instructional Conference in Nonlinear Partial Differential Equations, Edinburgh, U.K., January 2001

Selected Issues in the Mechanics of Crystalline Solids, Padova, Italy, October 2000

New Mathematical Methods in Continuum Mechanics, Crete, July 2000
 

Awards, Fellowships and Grants

Research Assistantship, Department of Mathematical Sciences, Carnegie Mellon University, 2003-2004

Partial Summer Support through the NSF Grants of Professor Irene Fonseca, 2002-2003

E.U. Grant, "Instructional Conference in Nonlinear Partial Differential Equations", Edinburgh, U.K., January 2001.

E.U. Grant, "Selected Issues in the Mechanics of Crystalline Solids", Padova, Italy, October 2000.

E.U. Grant,  "New Mathematical Methods in Continuum Mechanics", Crete, July 2000.
 

Professional affiliations

American Mathematical Society

Society for Industrial and Applied Mathematics
 

References

Research References:

Professor Irene FONSECA,
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
USA
E-mail: fonseca@andrew.cmu.edu

Professor David KINDERLEHRER,
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
USA
E-mail: davidk@andrew.cmu.edu

Professor Giovanni LEONI,
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
USA
E-mail: giovanni@andrew.cmu.edu

Teaching Reference:

Russell WALKER,  Principal Lecturer and Associate Deptartment Head
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
USA
E-mail: rw1k@andrew.cmu.edu