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.

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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.

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• 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.

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• “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

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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.

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• “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.

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• “Reflectionless Spectral Measures and their Application for the Spectral Analysis of Radial Trees”, Ben-Gurion University Operator and System Theory Seminar, Be’er-Sheva, Israel, July 28, 2008. • “Singular Spectrum for Radial Trees”, Caltech Mathematical Physics Seminar, Caltech, Pasadena, California, February 25, 2009. • “Spectral Theory and Boundary Behavior of Power Series”, University of California, Irvine, Mathematical Physics Seminar, Irvine, Califronia, May 28, 2009. • “Spectral Theory and Boundary Behavior of Power Series”, Technion – Israel Institute of Technology, Theoretical/Mathematical Physics sem- inar, Haifa, Israel, April 11, 2010. • “Spectral Theory and Boundary Behavior of Power Series”, Tel-Aviv University, Analysis seminar, Tel-Aviv, Israel April 27, 2010.

Professional Service • Referee for Communications in Mathematical Physics, International Mathematics Research Notices, Reviews in Mathematical Physics, Journal of Mathematical Analysis and Applications, Journal of Func- tional Analysis, Annales Henri Poincar´e,Discrete and Continuous Dy- namical Systems.

Publications 1. J. Breuer and D. Avnir, The symmetry numbers of non-rigid molecules, J. Chem. Phys. 122 (2005), 074110-1 – 074110-10. 2. J. Breuer, Singular continuous spectrum for the Laplacian on certain sparse trees, Commun. Math. Phys. 269 (2007), 851–857. 3. J. Breuer, Singular continuous and dense point spectrum for sparse trees with finite dimensions, in “Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov”, (eds. D. Dawson, V. Jakˇsi´c and B. Vainberg), CRM Proc. and Lecture Notes 42 (2007), 65–84. 4. J. Breuer, Localization for the Anderson model on trees with finite di- mensions, Annales Henri Poincar´e 8 (2007), 1507–1520.

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5. J. Breuer and Y. Last, Stability of spectral types for Jacobi matrices under decaying random perturbations, Journal of Functional Analysis 245 (2007), 249–283.

6. J. Breuer, P. Forrester and U. Smilansky, Random Schr¨odingeropera- tors from random matrix theory, Journal of Physics A: Math. Theor. 40 (2007), F1–F8.

7. J. Breuer and R. Frank, Singular spectrum for radial trees, Rev. Math. Phys. 21 (2009), 929–945.

8. J. Breuer, E. Ryckman and M. Zinchenko, Right limits and reflection- less measures for CMV matrices, Commun. Math. Phys. 292 (2009), 1–28.

9. J. Breuer, Y. Last and B. Simon, The Nevai condition, Constr. Approx., to appear. http://arxiv.org/abs/0809.2255

10. J. Breuer, Spectral and dynamical properties of certain random Ja- cobi matrices with growing parameters, Trans. of the AMS, to appear. http://arxiv.org/abs/0708.0670

11. J. Breuer, E. Ryckman and B. Simon, Equality of the spectral and dynamical definitions of reflection, Commun. Math. Phys., to appear. http://arxiv.org/abs/0905.3724

12. J. Breuer, Y. Last and Y. Strauss, Eigenvalue spacings and dynami- cal upper bounds for discrete one-dimensional Schr¨odingeroperators, submitted.

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