School of Mathematics, Tel.: (404) Georgia Institute of Technology
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1 Zaher Hani Contact Information Research Interests Employment School of Mathematics, Tel.: (404) Georgia Institute of Technology Skiles Cherry Street Atlanta, GA , USA Partial differential equations, wave turbulence, infinite dimensional Hamiltonian dynamics, realvariable harmonic analysis. August 2014-: Georgia Institute of Technology Tenure-track assistant professor September 2011-August 2014: Courant Institute of Mathematical Sciences, New York University Simons Postdoctoral Fellow and Courant Instructor Education : University of California, Los Angeles, California USA. Ph.D. in Mathematics (June 2011) Dissertation Topic: Global and dynamical aspects of nonlinear dispersive equations on compact manifolds. Advisor: Terence Tao. M.A. in Mathematics, December : American University of Beirut, Lebanon. Bachelor of Science in Mathematics (with high distinction). Grants, Honors, and Awards Published Work NSF CAREER grant NSF Grant DMS (standard grant) Alfred Sloan Research Fellowship NSF Grant DMS (standard grant) Simons Postdoctoral Fellowship, Courant Institute, New York University Heaviside Wealth Management Award for outstanding graduate student research, UCLA Huang Fellowship, UCLA Horn-Moez Prize for Excellence in First Year Graduate Studies, UCLA Pauley Fellowship, UCLA The Muhanna Mathematics Award of Excellence, The Nicolas Jabr Prize, and The Philip Hitti Prize, American University of Beirut Full Scholarship from CNRS of Lebanon (Conseil National de la Recherche Scientifique). -Scattering for the 3D Gross-Pitaevskii equation, (with Z. Guo and K. Nakanishi). To appear in Communications of Mathematical Physics (CMP).
2 -Nonlinear Schrödinger equation on large domains, (with T. Buckmaster, P. Germain, J. Shatah). To appear in Communications in Pure and Applied Mathematics (CPAM). -Analysis of the continuous resonant equation, (with T. Buckmaster, P. Germain, J. Shatah). To appear in International Mathematics Research Notices (IMRN). -Out-of-equilibrium dynamics and statistics of dispersive PDE. Journées équations aux dérivées partielles (2016), Exp. No. 5, 12 p. -Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping, (joint work with Laurent Thomann). Communications in Pure and Applied Mathematics (CPAM) Volume 69, Issue 9, September 2016, Pages The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation, (joint work with Erwan Faou and Pierre Germain). Journal of the AMS (JAMS), 29 (2016), Modified scattering for the cubic Schrödinger equation on product spaces and applications, (joint work with Benoit Pausader, Nikolay Tzvetkov, and Nicola Visciglia). Forum of Mathematics, Pi. Volume 3 / 2015, e4 (63 pages). -On the continuous resonant equation for NLS. Part II. Probabilistic analysis, (joint work with Pierre Germain and Laurent Thomann). Analysis and PDE 8 (2015), no. 7, On the continuous resonant equation for NLS. Part I. Deterministic analysis, (joint work with Pierre Germain and Laurent Thomann). Journal de Mathematiques Pures et Appliquees (JMPA). (9) 105 (2016), no. 1, Growing Sobolev norms for the cubic defocusing Schrödinger equation. (With Benoit Pausader, Nikolay Tzvetkov, and Nicola Visciglia). Seminaire Laurent Schwartz - EDP et applications ( ), Exp. No Nonlinear resonances with a potential: Multilinear estimates and an application to NLS, (joint work with Pierre Germain and Samuel Walsh). International Mathematics Research Notices IMRN 2015, no. 18, Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations. Archive for Rational Mechanics and Analysis 211 (2014), no. 3, Scattering for the Zakharov system in 3 dimensions, (joint work with Fabio Pusateri and Jalal Shatah). Communications in Mathematical Physics (CMP), September 2013, Volume 322, Issue 3, pp On scattering for the quintic defocusing nonlinear Schrödinger equation on R T 2, (joint work with Benoit Pausader). Communications on Pure and Applied Mathematics (CPAM), Volume 67, Issue 9, pages , September Global well-posedness of the 2D cubic nonlinear Schrödinger equation on compact manifolds without boundary, Communications in PDE. Volume 37, Issue 7, (2012). -A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds, Analysis & PDE 5-2 (2012) Global and dynamical aspects of nonlinear dispersive equations on compact manifolds, UCLA Ph.D. Thesis.
3 Preprints Growth of Sobolev norms for the cubic NLS equation near one-dimensional finite gap solutions, (with M. Guardia, E. Haus, A. Maspero, and M. Procesi). Conference Organization 1. Spring 2017: AIM workshop on Mathematical wave turbulence. 2. Spring 2017: Member of the Scientific Committee of the Tenth IMACS International conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory. 3. Fall 2016: Special session in the Fall Sectional Meeting of the AMS (Minneapolis, Minnesota). 4. March 2015: Special session on Nonlinear dispersive and wave equations with applications to fluids in the AMS Sectional Meeting at Georgetown University, Washington D.C. 5. April 2015: Special session on Long Time Dynamics of Nonlinear Dispersive Waves, at Ninth IMACS International conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, Seminar Work Georgia Institute of Technology 1. Fall 2016: Organized an Interdisciplinary Learning Seminar on Non-equilibrium Statistical Physics. 2. (Fall 2014 and Spring 2015): Started and organized a new Working PDE seminar with the aim of introducing various topics in PDE at a level accessible to graduate students. 3. Frequent organizer of the PDE seminar at Georgia Tech School of Mathematics. New York University: 1. (Fall 2011 and Spring 2012): co-organized with Pierre Germain and Larry Guth an informal seminar on Problems related to the restriction problem. 2. (Fall 2012) co-organized a seminar on Water waves. Invited Talks andseptember 2018 Visits July 2018 January 2018 December 2017 September 2017 September 2017 August 2017 Cortona, Italy: Conference on Linear and Nonlinear Wave Phenomena: Stability, Propagation of Regularity and Turbulence. Montreal, Canada: International Congress on Mathematical Physics, Session on Partial Differential Equations. Joint Mathematics Meeting, San Diego: AMS Special Session on Analysis of Nonlinear Partial Differential Equations and Applications, and AMS Special Session on Nonlinear Evolution Equations of Quantum Physics and Their Topological Solutions. SISSA, Trieste, Italy: 20-hour mini-course over two weeks. UC Irvine, USA: PDE Seminar. Buffalo, New York, USA: Special session on Nonlinear Evolution Equations at the AMS Eastern Sectional meeting. Waterloo, Canada: Special session on Recent Advances in Mathematical and Computational Aspects of Wave Propagation at AMMCS July 2017 Marseilles, France: Conference on Analyse asymptotique des équations d évolution. June 2017 Oberwolfach, Germany: Workshop on Nonlinear Waves and Dispersive Equations. March 2017 New York University, USA: Courant Institute of Mathematical Sciences, Analysis Seminar. March 2017 University of Maryland, USA: Analysis Seminar.
4 March 2017 February 2017 January 2017 December 2016 September 2016 July 2016 July 2016 July 2016 May 2016 May 2016 May 2016 April 2016 March 2016 March 2016 March 2016 January 2016 Fall 2015 November 2015 August 2015 August 2015 July 2015 June 2015 June 2015 June 2015 May 2015 April 2015 May 2015 March 2015 February 2015 November 2014 November 2014 October 2014 August 2014 July 2014 June 2014 June 2014 May 2014 University of Southern California, USA: CAMS Colloquium. Princeton University, USA: Fluids Seminar. Atlanta, USA: Joint Mathematics Meeting of the AMS and MAA; Special session on Recent Progress on Nonlinear Dispersive and Wave Equations. Valdivia, Chile: Nonlinear Dispersive equations in Valdivia. Maiori, Italy: Minicourse in the school and workshop on Hamiltonian Dynamics, PDEs and Waves on the Amalfi coast. Istanbul Center of Mathematical Sciences (ICMS): Nonlinear dispersive PDE; long time dynamics, boundary value problems, integrability. Institut Henri Poincare, Paris, France Seminar. IHES, France: Minicourse on Effective dynamics of dispersive equations on large domains. Roscoff, France: Seminaire EDP. IHES, France: One-month invitation at the workshop on nonlinear dispersive and wave equations. MFO, Oberwolfach, Germany: Workshop on Nonlinear Evolution Equations. American Institute of Mathematics (AIM): Workshop on mixing and nonlinear stability. University of Michigan: Colloquium. University of Michigan: Analysis and Probability Seminar. University of Michigan: Differential Equations Seminar. Duke University: Applied Math and Analysis Seminar. MSRI, Berkeley: Semester-long workshop on New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems. University of Michigan: PDE seminar. University of Edinburgh, UK : Workshop on the Harmonic Analysis and Partial Differential Equations at the International Centre for Mathematical Sciences (ICMS). Fudan University, China: Workshop on the Mathematics of Geophysical Flows and Turbulence. BCAM Basque Center for Applied Mathematics Workshop on Harmonic analysis and PDE. University of Nantes, France: Workshop on PDE and large time asymptotics. Universitat Politecnica de Catalunya, Barcelona, Spain: PDE and dynamics seminar. Fields Institute, University of Toronto: Workshop on Nonlinear Wave Equations New York University-Abu Dhabi: Mathematics Seminar Series. AMS Sectional Meeting in Las Vegas: Evolution Problems at the Interface of Waves and Fluids. University of Maryland, College Park: Dynamics and PDE seminar. University of Kyoto, Japan: PDE seminar. St Etienne de Tinée: Ecole d hiver on Dynamics and PDE s. University of Chicago: Calderon-Zygmund Analysis Seminar. Harvard University. Workshop on wave turbulence. AMS Fall Sectional Meeting. San Francisco, USA. SIAM conference on nonlinear waves and coherent structures. Churchill College, Cambridge, UK. AIMS conference on Dynamical Systems, Differential Equations and Applications: Special Session on Dynamics of fluids and nonlinear waves. Madrid, Spain. Hausdorff Institute for Math. Sciences:Hausdorff Trimester Program on Harmonic Analysis and Partial Differential Equations, Bonn, Germany. Universita di Roma: Sapienza Analysis and PDE seminar, Italy. University of Pisa, Italy: Workshop on the Stability of Solitary Waves.
5 May 2014 Fudan Univeristy: Workshop on Mathematics of Geophysical Flows and Turbulence. Shanghai, China. May 2014 Banff International Research Station (BIRS): Workshop on Dynamics in Geometric Dispersive Equations and the Effects of Trapping, Scattering and Weak Turbulence, Canada. May 2014 University of Pisa, Italy: Workshop on the Stability of Solitary Waves. May 2014 Fudan Univeristy: Workshop on Mathematics of Geophysical Flows and Turbulence. Shanghai, China. May 2014 Banff International Research Station (BIRS): Workshop on Dynamics in Geometric Dispersive Equations and the Effects of Trapping, Scattering and Weak Turbulence, Canada. April 2014 Johannes Kappler Universität: Conference on Wave Interactions WIN Linz, Austria. April University of Minnesota: Analysis seminar. April 2014 AMS Western Sectional meeting: Special session on Harmonic Analysis and Dispersive Equations. Albuquerque, NM. April 2014 Georgia Institute of Technology: PDE seminar. March University of Indeana, Bloomington: PDE seminar. Feb Dynamics and PDE winter-school and conference: Saint-Etienne de Tinée, France. Feb Stony Brook University: Colloquium. Jan Joint Meeting of the AMS and AMA: SIAM session on Recent Advances in Partial Differential Equations Modeling Physical Systems and AMS special session Dispersive and Geometric Partial Differential Equations. Jan University of California, Santa Barbara: Colloquium. Dec Georgia Institute of Technology: Job talk. Dec University of Illinois, Chicago: Colloquium. Dec University of Massachusetts, Amherst: Colloquium. Dec SIAM Conference on Partial Differential Equations, Orlando, Florida: Minisymposium on Nonlinear Dispersive Wave Equations. Nov University of Southern California, CAMS Colloquium. Nov University of California, Santa Barbara: Analysis/PDE Seminar. Nov Oct Oct Sept June 2013 May 2013 Dec Sept July 2012 May 2012 May 2012 March 2012 Universitaet Bielefeld, Germany: Analysis Seminar. University of Massachusetts, Amherst: Applied analysis and computation seminar. MIT : Analysis/PDE seminar. Courant Institute, NYU : Analysis seminar. Joint International Meeting of the AMS and the Romanian Mathematical Society in Alba Iulia, Romania: Session on Nonlinear Evolution Equations. Fields Institute: Workshop on Wave Interactions and Turbulence. University of Toronto: Analysis and Applied Math Seminar. University of British Columbia: Diff. Geom, Math. Phys., PDE Seminar. UCLA: Southern California Analysis and PDE Conference (SCAPDE). Brown University: PDE seminar. Johns Hopkins University: Analysis seminar. University of Rome Tre: New perspectives in nonlinear PDE s. University of North Carolina: A Conference on Partial Differential Equations: Analytic and Geometric Aspects in honor of Michael Taylor s 65th Birthday. MFO, Oberwolfach, Germany: Workshop on Nonlinear Evolution Equations. Northwestern University: Workshop on evolution equations: part of a conference in honor of Terence Tao. University of Hawaii: Spring 2012 Western Sectional Meeting: Nonlinear partial differential equations at the common interface of waves and fluids.
6 Feb Nov Oct October 2011 Sept Sept August 2011 May 2011 April Nov Nov Oct University of Toronto: Fields Analysis Working Group Seminar University of Pennsylvania: Analysis Seminar. Princeton University: Analysis Seminar. University of Utah: 2011 AMS Fall Western Section Meeting, Salt Lake City: Special Session on Harmonic Analysis and Dispersive Partial Differential Equations. ANR Program: Hamiltonian and Dispersives Equations : Dynamics, Ille de Berder, France. Courant Institute, NYU : Analysis Seminar. Université de Cergy-Pontoise, France: Analysis seminar. UCLA: Analysis Seminar. UT Austin: Harrington Symposium. MIT : Analysis/PDE seminar. University of Chicago: Calderon-Zygmund Analysis Seminar. UCLA: Analysis Seminar. Teaching Experience Georgia Institute of Technology: Course Instructor Fall 2016 Math 4347 : Partial Differential Equations I. Math 1553 : Introduction to Linear Algebra, Math 8900 : Working Seminar on Non-Equilibrium Statistical Mechanics Math 4999-HAN : Undergraduate Reading course. Spring 2016 Spring 2015 Fall 2014 New York University: Course Instructor Math 1552: Integral Calculus. Graduate Topics in PDE: Nonlinear dispersive equations. Math 1502: Calculus II. Spring 2014 Fall 2012 Fall 2011 Math GA 2550: Graduate Functional Analysis. Math UA140: Linear Algebra. Calc III: Multi-variable Calculus. University of California, Los Angeles: Teaching Assistant Fall 2009 Spring 2009 Spring 2008 Winter 2008 Math 246A Graduate Complex Analysis. Math 32B: Second course on Calculus of Several Variables. Math 32B: Second course on Calculus of Several Variables. Math 32A: First course on Calculus of Several Variables. Other Teaching Activities December 2017 September 2016 Twenty-hour minicourse at SISSA (International Institute for Advanced Studies) in Trieste, Italy. Six-hour minicourse in the school and workshop on Hamiltonian Dynamics, PDEs and Waves on the Amalfi coast in Maiori, Italy.
7 Service Work Committee Work: Served on the Faculty Advisory Committee at the Georgia Tech School of Math. Fall 2017-now Spring 2017 Manuscripts reviewed for: Serving on the Elections Committee of the Georgia Tech School of Math. Member of the Scientific Committee of the Tenth IMACS International conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory. Communications on Pure and Applied Mathematics (CPAM), Asterisque, Advances in Mathematics, Communications in Math. Physics (CMP), Communications in PDE (CPDE), Analysis and PDE, Trans. of the AMS, International Math. Research Notices (IMRN), Annales Henri Poincare, Journal of Differential Equations (JDE), Siam Journal on Mathematical Analysis (SIMA), Revista Matemtica Iberoamericana, Math Zentralblatt, Journal of Functional Analysis, Annals of PDE. Proposals reviewed: NSF Panel in Spring September 2017, Atlanta, GA.
University of Michigan, Tel.: (734) Department of Mathematics 5834 East Hall 530 Church Street Ann Arbor, MI , USA
Zaher Hani Contact Information Research Interests Employment University of Michigan, Tel.: (734) 764 0325 Department of Mathematics E-mail: zhani@umich.edu 5834 East Hall 530 Church Street Ann Arbor, MI
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