Dan Mangoubi
Senior Lecturer Einstein Institute of Mathematics, Hebrew University, Givat Ram, Jerusalem 91904, Israel Email: last name AT math.huji.ac.il Tel: +972-2-6584145 Fax: +972-2-5630702

Research Interests

• Asymptotic properties of Laplace eigenfunctions. Geometry of nodal domains.
• Relations between growth and zeroes of harmonic functions. Applications to eigenfunctions.
• Spectral Geometry, Differential Geometry

Papers published or accepted

• The effect of curvature on a convexity property of harmonic functions and eigenfunctions, J. Lond. Math. Soc. (2012), to appear, arXiv:math/1112.4352.
  
• A remark on recent lower bounds for nodal sets, Comm. Partial Differential Equations 36 (2011), no. 12, 2208--2212, 10.1080/03605302.2011.558556, arXiv:math/1010.4579.
• (with Y. Lin, G. Lippner and S.-T. Yau) Nodal geometry of graphs on surfaces, Discrete Contin. Dyn. Syst. Ser. B 28 (2010), no. 3, 1291--1298, 10.3934/dcds.2010.28.1291.
• The volume of a local nodal domain, J. Topol. Anal. 2 (2010), no. 2, 259--275, 10.1142/S1793525310000306, arXiv:math/0806.3327.
  
• (with D. Jakobson) Tubular neighborhoods of nodal sets and Diophantine approximation, Amer. J. Math. 131 (2009), no. 4, 1109--1135, 10.1353/ajm.0.0066, arXiv:math/0707.4045.
• Local asymmetry and the inner radius of nodal domains, Comm. Partial Differential Equations 33 (2008), no. 9, 1611--1621, 10.1080/03605300802038577, arXiv:math/0703663.
• On the inner radius of a nodal domain, Canad. Math. Bull. 51 (2008), no. 2, 249--260, arXiv:math/0511329.
  
• Spectral flexibility of symplectic manifolds T²x M, Math. Ann. 341 (2008), no. 1, 1--13, 10.1007/s00208-007-0178-z, arXiv:math/0508128.
  
• Conformal extension of metrics of negative curvature, J. Anal. Math. 91 (2003), 193--209, arXiv:math/0202249.
  

Thesis

• On the Geometry of the Laplace-Beltrami Operator, Ph.D. Thesis (Technion, 2006) under the direction of Leonid Polterovich and Michael Entov.
• Riemann Surfaces and 3-regular Graphs, M.Sc. Thesis (Technion, 2001) under the direction of Robert Brooks, arXiv:math/0202156.

Family