Department of Mathematics
Johns Hopkins University
3400 North Charles Street
Baltimore, MD 21218-2686
Office: 105 Krieger Hall
E-mail:
hhezari@math.jhu.edu
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Research:
My research interests are PDE's on Reimannian Manifolds and the effects of the geomtery of the manifold on their solutions. In particular I am interested in the applications of Microlocal Analysis in studying the behavior of Eigenvalues and Eigenfunctions of Laplacian and Schrodinger Operators. For example I am interested in, Inverse Spectral Problems concerning the Laplace and Schrodinger operators, distribution of zeros and critical points of eigenfunctions, and quantum limits of eigenfunctions. I am also interested in Differential Geometry and Mathematical Physics.
My Advisor:
Steven Zelditch
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Publications:
1. H. Hezari, Complex Zeros of Eigenfunctions of 1-dimensional Schrodinger
Operators. International Mathematics Research Notices, Vol.
2008, Article ID: rnm148.
arxiv-pdf.
2. H. Hezari, Inverse Spectral Problems for Schrodinger Operators. Preprint.
To be published in Communications in Mathematical Physics.
arxiv-pdf.
3. (With Steve Zelditch) Inverse Spectral Problems for real analytic domains in Rn. Preprint.
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Teaching:
Differentiable Manifolds, Spring 2009
Putnam Exam Training,
Fall 2008
Honors Calculus 1,
Fall 2008
Analysis, Spring 2008
Differential Equations, Fall 2007
Putnam Exam Training,
Fall 2007
Linear Algebra,
Summer 2006
Analysis, Fall 2005
Calculus 1, Fall 2005
Honors Calculus 3, Spring 2005
Calculus 1 for Biology, Fall 2004
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