Personal Information

  • Nationality: Costa Rica
  • Research Interests: Inverse problems, differential geometry, microlocal analysis and partial differential equations.

Education

  • Ph.D. candidate in Mathematics at Purdue University, expected May 2014.
  • Bs in Mathematics at Universidad de Costa Rica, Feb 2008.

Publications

  • Montalto-Cruz, C., Nachman, A., Stefanov, P. Holder stability on coupled physics inverse problems: an application to medical imaging (in preparation).
  • Montalto-Cruz, C. et al. Image Based Visual Correction (submitted for publication). pdf - video
  • Montalto-Cruz, C. Stable determination of a simple metric, a co-vector field and a potential from the hyperbolic Dirichlet-to-Neumann map (submitted for publication). pdf

    Conferences & Presentations

  • Coupled Physics Inverse Problems at Universidad de Chile,Chile in Jan 2013. pdf
  • Computer Graphics and Visualization Lab Seminar at Purdue University, USA in
    Sep 2012. pdf
  • International Conference on Inverse Problems and PDE Control at Sichuan University, China in
    Aug 2012.
  • A conference in honor of Gunther Uhlmann at UC Irvine, USA in Jun 2012. pdf
  • Geo-Mathematical Imaging Group Seminar at Purdue University, USA in April 2012. pdf
  • Pan-American Advanced Studies Institute: Inverse Problems and PDE Control at Universidad Católica, Chile in Jan 2012.
  • Workshop on Geometry Analysis on Euclidean and Homogeneous Spaces at Tufts University, USA in Jan 2012. pdf
  • Microlocal Methods in Spectral and Scattering Theory at Northwestern University, USA in Oct 2011.
  • Applied Inverse Problems Conference at Texas A&M, USA in May 2011.
  • American Mathematical Society Meeting at New Orleans, USA in Jan 2011.
  • Workshop in Analysis and Geometry, at Louisiana State University, USA in Jan 2011.
  • Introductory Workshop on Inverse Problems and Applications at MSRI, Berkeley, USA in Aug 2010.

    Research experience

    Teaching experience

    • Aug 2008 to Dec 2011 Teaching Assistant at Purdue University.
    • Jul 2006 to Jun 2008: Instructor at Universidad de Costa Rica.
    • Jan 2006 to Dec 2007: Professor at Colegio Monterrey, Costa Rica.
    • Jan 2004 to Jun 2006: Teaching Assistant at Universidad de Costa Rica.

    Recognitions

    • Abroad Fellowship for University Scholars from Universidad de Costa Rica, 2008.
    • Honorary Fellowship at University of Costa Rica, 2004.
    • Best Math Student diploma at Universidad de Costa Rica, 2003.

    Languages

    • Spanish (native).
    • English.

    Scholarly memberships

    • Member of the American Mathematical Society, since 2008.
    • Member of the Inverse Problems International Association, since 2011.
    • Member of the Society for Industrial and Applied Mathematics, since 2013.

    • PDF formats:

    Previous works

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