Alex Gottlieb's Curriculum Vitae

alex@alexgottlieb.com

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• Assistant Professor, University of Hawaii (UH) Mathematics:  "Numerical Analysis I" and "Calculus for Business and the Social Sciences" (Fall 2009)
• Lecturer at UH:  "Introduction to Linear Algebra" (Summer 2008)
• Lecturer at UH:  "Calculus for Business and the Social Sciences" (Spring 2008)
• Lecturer at UH:  "Calculus II" (Fall 2007)
• Adjunct Instructor at Hawaii Tokai International College (HTIC):  "Survey of Mathematics" (Summer 2007)
• Lecturer at UH:  "Calculus for Business and the Social Sciences" (Summer 2007)
• Lecture series for the Graduate Preparation Program at HTIC:   "Statistics for Graduate Studies" (Winter 2007)
• Adjunct Instructor at HTIC:  "Survey of Mathematics" (Winter 2007)
• Adjunct Instructor at HTIC:  "Trigonometry and Analytic Geometry" (Fall 2006)
• Lecturer at UH:  "Calculus for Business and the Social Sciences" (Summer 2006)
• Calculus teacher for the Native Hawaiian Science and Engineering Mentoring Program (Summer 2006)
• Visiting Assistant Professor at UC Berkeley:  "Mathematical Tools for Physics" (Spring 2000)
• Developed instructional technologies for Multivariable Calculus at UC Berkeley: coded graphical user interfaces in MatLab for an instructional computer lab and designed a series of lab projects for the software. (1996)
• Teaching Assistant for four semesters: vector calculus, linear algebra and differential equations. (1994 - 1996)
• Professional math tutor: earned livelihood tutoring university students (1992 - 1993)

• Native speaker of English
• French (advanced plus)
  Spanish and Italian (advanced)
  German (intermediate)
  Mandarin (novice)
• Some experience programming in C++, Matlab, R, HTML, JavaScript, PHP, and SQL

• PI of research project Correlation in Quantum Systems :
  This four-year (2008 - 2011) project is affiliated to the Wolfgang Pauli Institute in Vienna and funded by a grant of € 446000 from the WWTF (Vienna Science and Technology Fund). It is one of ten applied mathematics projects that were awarded grants under the € 4.47 million WWTF funding program "Mathematik und . . . " of 2007, helping promote the city of Vienna as a center for research and innovation in science and technology.
• Visiting Scholar, UH Mathematics, 2006 - 2010
• Visiting Scholar, UCLA Mathematics, 2004 - 2005
• Mathematics Department Fellowship, UC Berkeley, 1994
• Department of Education National Need Fellowship, UC Berkeley, 1991 - 92

Publications

1. Entanglement and correlation entropies of natural shells of some small molecules [with J. D. Head and D. Perusse].
   Manuscript submitted. (2009)
2. Quantum noise thermometry for bosonic Josephson junctions in the mean field regime [with T. Schumm].
   Phys. Rev. A 79: 063601 (2009)
3. Hyperdeterminantal point processes [with Steve Evans].
   Metrika 69 (2-3): 85 - 99 (2009)
4. Introduction to determinantal point processes from a quantum probability viewpoint.
   QP-PQ: Quantum Probability and White Noise Analysis, Volume 20, World Scientific, 2007.
5. Properties of nonfreeness: an entropy measure of electron correlation [with N. J. Mauser].
   International Journal of Quantum Information 5 (6): 815- 827 (2007)
6. The TDHF approximation for Hamiltonians with m-particle interaction potentials [with C. Bardos, B. Ducomet, F. Golse, and N. Mauser].
   Communications in Mathematical Sciences 5 (Supplement): 1 - 9 (2007)
7. Bardeen's tunneling theory as applied to Scanning Tunneling Microscopy [with L. Wesoloski].
   Nanotechnology 17: R57 - R65 (2006)
8. Examples of bosonic de Finetti states over finite dimensional Hilbert spaces.
   Journal of Statistical Physics 121 (3-4): 497 - 509 (2005)
9. Convergence of continuous-time quantum walk on the line.
   Phys. Rev. E 72: 047102 (2005)
10. New measure of electron correlation [with N.J. Mauser].
    Phys. Rev. Lett. 95 (12): 123003 (2005)
11. Convergence of quantum walks in d-dimensional Euclidean space [with S. Janson and P. Scudo].
    Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 (1): 129 - 140 (2005)
12. Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states [with C. Bardos, F. Golse, and N.J. Mauser].
    Journal of Statistical Physics 115 (3-4): 1037-1055 (2004)
13. On the derivation of nonlinear Schrödinger and Vlasov equations [with C. Bardos, F. Golse, and N. Mauser].
    IMA Volumes in Mathematics and its Applications, Volume 136: Dispersive Transport Equations and Multiscale Models (2004).
14. Mean-field dynamics of fermions and the time-dependent Hartree-Fock equation [with C. Bardos, F. Golse, and N.J. Mauser].
    Journal des Mathématiques Pures et Appliquées 82 (6): 665 - 683 (2003)
15. Asymptotic equivalence of the jackknife and infinitesimal jackknife variance estimators for some smooth statistics.
    Annals of the Institute of Statistical Mathematics 55 (3): 555 - 561 (2003)
16. Propagation of chaos in classical and quantum kinetics.
    Stochastic Analysis and Mathematical Physics II (R. Rebolledo, ed.) Trends in Mathematics, Birkhäuser, 2003.
17. Group-theoretic axioms for projective geometry [with J. Lipman].
    Canadian Journal of Mathematics 43 (1): 89 - 107 (1991)

Technical Reports and Manuscripts

18. Canonical nonfreeness for bosons [with N. J. Mauser].
    Manuscript (2009)
19. Opposite sign correlations in fermion or boson gases [with T. Schumm].
    Archived at arXiv:0705.3491v1 (2007)
20. Two examples of discrete-time quantum walks taking continuous steps.
    Archived at quant-ph/0310026 (2003)
21. The propagation of chaos by quantum systems: an extended abstract.
    Mini-proceedings: Workshop on Stochastics and Quantum Physics, MaPhySto, Aarhus, Denmark. Miscellanea no. 16 (1999)
22. Propagation of molecular chaos by quantum systems and the dynamics of the Curie-Weiss model.
    CPAM, University of California at Berkeley PAM - 764 (1999)
23. Experiments in first-order Optimal Prediction [with T. Burin des Roziers].
    Lawrence Berkeley National Laboratory LBNL - 44191 (1999)
24. Markov transitions and the propagation of chaos (PhD thesis).
    CPAM, University of California at Berkeley PAM - 756 (1998)

Invited Talks

• Why one observes a random relative phase between independent condensates. Workshop on Bosonic Josephson Junctions and Tunnel-Coupled Systems. Vienna. July, 2009.
• "Propagation of chaos" and the TDHF equation. ESNT Workshop on Mean Field and Beyond for Nuclear Reactions. CEA, Saclay, France. January 2006.
• Time-dependent Hartree-Fock as a nonlinear one-particle approximation for the linear N-particle Schroedinger equation. Workshop on Kinetic Theory. A-HYKE-2, ENS, Paris. April 2004.
• Quantum effects in mean field electron dynamics. Workshop on Kinetic Theory. Fields Institute, Toronto. April 2004.
• Propagation of chaos and quantum mean field dynamics. Análisis Estocástico y Probabilidad Conference. Ponteficia Universidad Católica de Chile. January 2000.

Contributed Talks

• Electron correlation and quantum entropy. IPAM: Mathematics in Nanoscale Science and Engineering, Lake Arrowhead, California. December 2005.
• Limit theorem for the spread of the wavepacket in quantum walk. 26.th Conference: Quantum Probability and Infinite Dimensional Analysis, Trento, Italy. February 2005.
• Theory of quantum tunneling as applied to Scanning Tunneling Microscopy. IPAM: Mathematics in Nanoscale Science and Engineering, Lake Arrowhead, California. June 2004.
• Self-consistent Schrödinger and Liouville-von Neumann equations for material particles. Emerging Applications of the Nonlinear Schrödinger Equations. IPAM, Los Angeles. February 2003.
• On the derivation of time-dependent Hartree-Fock by weak coupling limit from the N-Schrödinger equation. Workshop on Hydrodynamic Limits: results and perspectives. ESI, Vienna. October 2001.
• Resampling from jackknife pseudovalues and the propagation of chaos. Winter School on NLS at the Ernest Schrödinger Institute, Vienna. February 2001.
• Quantum molecular chaos and the dynamics of mean-field spin models. Workshop on Stochastics and Quantum Physics. MaPhySto, Aarhus, Denmark. October 1999.

Seminar talks

• Nonfreeness: a measure of electron correlation. UH Physical Chemistry Seminar. March 2007.
• The BCS model of superconductivity in the thermodynamic limit. UH Mathematics Colloquium. February 2007.
• Dirichlet series as power series or Fourier series in infninitely many variables. UH Analysis Seminar. November 2006.
• Scanning tunneling microscopy. UH Honors Seminar for NSF CSEMS Scholars. October 2006.
• Eigenvalues of Random Matrices. UH Mathematics Undergraduate Seminar. September 2006.
• Quantifying electron correlation. UH Mathematics Colloquium. August 2006.
• Informal lectures. City University of Hong Kong, Mathematics. January 2006.
• Kakutani's metric on probability measures and Bures's metric on quantum states. CAM seminar, USC. November 2005.
• Mathematical Physics Seminar, Caltech. Fall 2002.
• Quantum molecular chaos and mean-field dynamics. Numerical Methods Seminar at Lawrence Berkeley Laboratory. February 2000.
• Analysis Seminar, UC Berkeley. 2000.
• Quantum molecular chaos and mean-field dynamics. Quantum Computing Seminar, UC Berkeley. February 2000.
• An introduction to statistical decision theory. Numerical Methods Seminar at Lawrence Berkeley Laboratory. February 1999.