Curriculum Vitae Jonathan Breuer May 26, 2010 Personal Information • Birth Date: 28.6.1974. • Citizenship: Israeli. • Mailing address: Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem 91904, Israel. • Email: [email protected] Research Interests Analysis, especially spectral theory and related areas. Education • 2002{2007: Ph.D. (summa cum laude) in Mathematics, The Hebrew University of Jerusalem, Israel. Thesis title: \Some problems in spec- tral theory of Schr¨odingeroperators". Advisor: Prof. Yoram Last. • 2000{2002: M.Sc. (summa cum laude) in Theoretical Chemistry, The Hebrew University of Jerusalem, Israel. Thesis title: \Quantification of the physical effects of near-symmetry using the continuous symmetry measure". Advisor: Prof. David Avnir. • 1997{2000: B.Sc. (summa cum laude) in Chemistry, The `Amirim' excellence program. The Hebrew University of Jerusalem, Israel. 1 Curriculum Vitae Jonathan Breuer Employment • Oct. 2009{: Senior Lecturer, The Department of Mathematics, The Hebrew University of Jerusalem, Israel. • 2007{2009: Sherman Fairchild Prize Postdoctoral Scholar in Math- ematical Physics, Department of Mathematics, Division of Physics, Mathematics and Astronomy at the California Institute of Technology. • 2002{2006: Teaching assistant at the Department of Mathematics, The Hebrew University of Jerusalem, Israel. • 2000{2002: Teaching assistant at the Department of Chemistry, The Hebrew University of Jerusalem, Israel. • 1999: Research assistant to Prof. Daniel Mandler at the Department of Chemistry, The Hebrew University of Jerusalem, Israel. Military Service • 1993{1997: IDF Military service. Lieutenant at discharge. Prizes and Fellowships • 2010{2013: Israeli Council for Higher Education, Yigal Alon Fellow- ship for Outstanding Junior Faculty. • 2007{2010: Prize Postdoctoral Fellowship, Division of Physics, Math- ematics and Astronomy, California Institute of Technology (resigned Sept. 2009). • 2004{2007: Rector's extended Tuition and Stipend Scholarship for outstanding Ph.D. students, Hebrew University of Jerusalem. • 2002{2004: The Faculty of Mathematics and Natural Sciences' Ex- cellence Fellowship for outstanding Ph.D. students, Hebrew University of Jerusalem. • 2000{2002: The Faculty of Mathematics and Natural Sciences' Ex- cellence Fellowship for outstanding M.Sc. students, Hebrew University of Jerusalem. 2 Curriculum Vitae Jonathan Breuer • September 1999: Participation in the Amos de-Shalit summer work- shop for outstanding chemistry students at the Weizmann Institute. The Amos de-Shalit Prize for outstanding chemistry students. • 1998, 1999, 2000: The Faculty of Mathematics and Natural Sciences' Dean's List and Dean's prize, Hebrew University of Jerusalem. Teaching Experience at Caltech • Spring 2008{2009, Instructor: Ma 110c Analysis I. • Fall 2008{2009, Instructor: Ma 1a Section1 Freshman Mathematics. • Spring 2007{2008, Instructor: Ma 191c|Topics in Spectral Theory of Random Schr¨odingerOperators (a graduate course). • Fall 2007{2008, Instructor: Ma 108a|Classical Analysis. Teaching Experience at the Hebrew University • Courses TA'd at the Mathematics Department: \Linear Algebra", \In- finitesimal Calculus" and \Basic Concepts in Analysis" (a graduate course). • Courses TA'd at the Chemistry Department: \Physical Chemistry A", \Physical Chemistry for Biology Students" and \General Chemistry for Students of Biology and Earth-Sciences". • In addition, I was an instructor in the workshop for new teaching as- sistants organized by the Faculty of Mathematics and Natural Sciences during the months October and November, 2001. Conference Talks • \Stability of Spectral Types for Jacobi Matrices and One-Dimensional Schr¨odinger Operators Under Random Decaying Perturbations", Invited talk at the International Workshop on Spectral Theory of Schr¨odinger operators, Centre de Recherches Math´ematiques, Montr´eal,Canada, July 2004. 3 Curriculum Vitae Jonathan Breuer • \Stability of Spectral Types Under Random Decaying Perturbations", Invited talk at the One-day workshop - Quantum Spectra and Dynam- ics, Weizmann Institute, Rehovot, Israel, January, 2005. • \Singular Spectrum for Schr¨odinger Operators on Certain Sparse Trees", Presented talk at the International Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP 2006), Lund, Sweden, June 2006. • \Singular Spectrum for Schr¨odinger Operators on Certain Sparse Trees", Invited talk at the conference: Operator Theory and Quantum Physics (OTQP), a conference in honor of Pavel Exner's 60th birthday, Prague, Czech Republic, September 2006. • \Singular Spectral Types for Certain Spherically Homogeneous Trees", Invited talk at the conference: Partial Differential Equations and Spec- tral Theory, a conference in honor of Shmuel Agmon's 85th birthday, Hebrew University, Jerusalem, Israel, February 2007. • \Singular Spectral Types for Certain Spherically Homogeneous Trees", Invited talk at the workshop: Quantum Graphs, Their Spectra and Ap- plications, a Newton Institute Workshop, Cambridge, England, April 2007. • \Spectral and Dynamical Properties of Random Jacobi Matrices with Growing Parameters", Invited talk at the Conference: Dynamics and Spectra of Complex Systems, Weizmann Institute, Rehovot, Israel, De- cember, 2007. • \Eigenvalue Clustering and Dynamics for One-Dimensional Discrete Schr¨odinger Operators", Invited talk at the 26th Annual Western States Mathematical Physics Meeting, Caltech, Pasadena, California USA, February 2008. • \Regular Measures with Irregular Christoffel-Darboux Kernels", In- vited talk at the Bi-Annual Mini-Workshop on Applied and Computa- tional Mathematics, Hebrew University, Jerusalem, Israel, July, 2008. • \Eigenvalue Clustering and Dynamics for One-Dimensional Discrete Schr¨odingerOperators", Presented talk at the workshop: Classical and 4 Curriculum Vitae Jonathan Breuer Quantum Dynamics in the Presence of Disorder, a Newton Institute Workshop, Cambridge, England, December 2008. • \Spectral Theory and Boundary Behavior of Power Series", Invited Ple- nary talk at the 10th International Symposium on Orthogonal Polyno- mials, Special Functions and Applications, Leuven, Belgium, July 2009. Seminar Talks • \Stability of Spectral Types Under Random Decaying Perturbations", Hebrew University PDE seminar, Jerusalem Israel, December 9, 2004. • \Upper Bounds on the Dynamical Spreading of Wavepackets", Univer- sity of Wisconsin Analysis seminar, Madison, Wisconsin, November 1, 2005. • \Dynamical Upper Bounds for One-Dimensional Discrete Schr¨odinger Operators", Hebrew University PDE seminar, Jerusalem, Israel, Febru- ary 2, 2006. • \A Free Particle on a Sparse Tree: Singular Continuous Spectrum and Anderson Localization", Technion { Israel Institute of Technology, Theoretical/Mathematical Physics seminar, Haifa, Israel, November 5, 2006. • \Sparse Trees: Singular Continuous Spectrum and Anderson Localiza- tion", Weizmann Institute seminar in Geometric Functional Analysis and Probability, Rehovot, Israel, May 2, 2007. • \On Jacobi Matrices with Random Decaying Perturbations", Hebrew University PDE seminar, Jerusalem, Israel, May 3, 2007. • \Sparse Trees: Singular Continuous Spectrum and Anderson Localiza- tion", Ben-Gurion University Mathematics Colloquium, Be'er Sheva, Israel, May 29, 2007. • \On Jacobi Matrices with Random Decaying Perturbations" Caltech Mathematical Physics Seminar, Pasadena, California, October 10, 2007. 5 Curriculum Vitae Jonathan Breuer • \On Jacobi Matrices with Random Decaying Perturbations", Univer- sity of California, Irvine, Mathematical Physics Seminar, Irvine, Cali- fornia, October 25, 2007. • \On Jacobi Matrices with Random Decaying Perturbations I: Rela- tive Decay", IIMAS-UNAM Seminar on Operators and Mathematical Physics, The National Autonomous University of Mexico, Mexico City, Mexico, November 20, 2007. • \On Jacobi Matrices with Random Decaying Perturbations II: Spec- tral Stability", IIMAS-UNAM Seminar on Operators and Mathemat- ical Physics, The National Autonomous University of Mexico, Mexico City, Mexico, November 22, 2007. • \Dynamical Upper Bounds for One-Dimensional Discrete Schr¨odinger Operators", UCLA Analysis Seminar, Los Angeles, California, Novem- ber 30, 2007. • \Spectral and Dynamical Properties of Random Jacobi Matrices with Growing Parameters", Hebrew University PDE Seminar, Jerusalem, Israel, January 17, 2008. • “Reflectionless Spectral Measures and their Application for the Spectral Analysis of Radial Trees", Weizmann Institute Seminar in Mathemat- ical Analysis and Applications, Rehovot, Israel, July 1, 2008. • “Reflectionless Spectral Measures and their Application for the Spec- tral Analysis of Radial Trees", Bar-Ilan University Analysis Seminar, Ramat-Gan, Israel, July 7, 2008. • “Reflectionless Spectral Measures and their Application for the Spectral Analysis of Radial Trees", Technion { Israel Institute of Technology, PDE and Applied Mathematics Seminar, Haifa, Israel, July 8, 2008. • \Equivalence of the spectral and dynamical notions of reflection for one- dimensional Schr¨odinger operators", Tel-Aviv University Mathematical Physics Day, Tel-Aviv, Israel, July 21, 2008. • “Reflectionless Spectral Measures and their Application for the Spectral Analysis of Radial Trees", Hebrew University PDE seminar, Jerusalem, Israel, July 24, 2008. 6 Curriculum Vitae Jonathan Breuer • “Reflectionless Spectral Measures and their Application for the Spectral Analysis of Radial Trees", Ben-Gurion University Operator