Curriculum Vitae Alex Gottlieb

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• Assistant Professor, University of Hawaii (UH) Mathematics, Fall 2011:
  "Numerical Analysis I" and "Calculus for Business and the Social Sciences"
• Instructor, University of Vienna Mathematics, Summer 2011:
  "Nonlinear Schrödinger Equations"
• Assistant Professor at UH, Fall 2010:
  "Calculus IV" and "Introduction to Programming"
• Assistant Professor at UH, Fall 2009:
  "Numerical Analysis I" and "Calculus for Business and the Social Sciences"
• Lecturer at UH, Summer 2008:
  "Introduction to Linear Algebra"
• Lecturer at UH, Spring 2008:
  "Calculus for Business and the Social Sciences"
• Lecturer at UH, Fall 2007:
  "Calculus II"
• Instructor at Hawaii Tokai International College (HTIC), Summer 2007:
  "Survey of Mathematics"
• Lecturer at UH, Summer 2007:
  "Calculus for Business and the Social Sciences"
• Instructor at HTIC, Spring 2007:
  "Survey of Mathematics"
• Lecture series for the Graduate Preparation Program at HTIC, Winter 2007:
  "Statistics for Graduate Studies"
• Instructor at HTIC, Fall 2006:
  "Trigonometry and Analytic Geometry"
• Lecturer at UH, Summer 2006:
  "Calculus for Business and the Social Sciences"
• Calculus teacher for the Native Hawaiian Science and Engineering Mentoring Program (Summer 2006)
• Visiting Assistant Professor at UC Berkeley, Spring 2000:
  "Mathematical Tools for Physics"
• Instructional technologies developer for Multivariable Calculus at UC Berkeley, 1996:
  coded graphical user interfaces in MatLab for an instructional computer lab and designed a series of lab projects to go with the software.
• Teaching Assistant for four semesters at UC Berkeley, 1994 - '96:
  taught vector calculus, linear algebra and differential equations.
• Professional math tutor, 1992 - '93:
  earned livelihood tutoring university students.

• Principal Investigator of research project "Correlation in Quantum Systems":
  This four-year (2008 - '11) 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 - '10
• Visiting Scholar, UCLA Mathematics, 2004 - '05
• Mathematics Department Fellowship, UC Berkeley, 1994
• Department of Education National Need Fellowship, UC Berkeley, 1991 - '92

• Native speaker of English.
• Speak French, German, Spanish, Italian, and Mandarin Chinese.
• Some experience programming in C++, Fortran, Matlab, R, Python, HTML/JavaScript, and SQL.

Publications

1. A. D. Gottlieb and R. M. Weisshäupl
   Discerning separated electron pairs within CI wavefunctions.
   Manuscript.
2. A. D. Gottlieb, J. D. Head and D. Perusse
   Natural molecular shells as open subsystems of small molecules.
   Int. J. Quant. Chem. 111: 4158 - 4173 (2011)
3. A. D. Gottlieb and T. Schumm
   Quantum noise thermometry for bosonic Josephson junctions in the mean field regime.
   Phys. Rev. A 79: 063601 (2009)
4. S. Evans and A. D. Gottlieb
   Hyperdeterminantal point processes.
   Metrika 69 (2-3): 85 - 99 (2009)
5. A. D. Gottlieb
   Introduction to determinantal point processes from a quantum probability viewpoint.
   QP-PQ: Quantum Probability and White Noise Analysis, Volume 20, World Scientific, 2007.
6. A. D. Gottlieb and N. J. Mauser
   Properties of nonfreeness: an entropy measure of electron correlation
   Int. J. Quantum Information 5 (6): 815- 827 (2007)
7. C. Bardos, B. Ducomet, F. Golse, A. D. Gottlieb and N. J. Mauser
   The TDHF approximation for Hamiltonians with m-particle interaction potentials.
   Communications in Mathematical Sciences 5 (Supplement): 1 - 9 (2007)
8. A. D. Gottlieb and L. M. Wesoloski
   Bardeen's tunneling theory as applied to Scanning Tunneling Microscopy.
   Nanotechnology 17: R57 - R65 (2006)
9. A. D. Gottlieb
   Examples of bosonic de Finetti states over finite dimensional Hilbert spaces.
   Journal of Statistical Physics 121 (3-4): 497 - 509 (2005)
10. A. D. Gottlieb
    Convergence of continuous-time quantum walk on the line.
    Phys. Rev. E 72: 047102 (2005)
11. A. D. Gottlieb and N. J. Mauser
    New measure of electron correlation.
    Phys. Rev. Lett. 95 (12): 123003 (2005)
12. A. D. Gottlieb, S. Janson and P. Scudo
    Convergence of quantum walks in d-dimensional Euclidean space.
    Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 (1): 129 - 140 (2005)
13. C. Bardos, F. Golse, A. D. Gottlieb and N. J. Mauser
    Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states.
    Journal of Statistical Physics 115 (3-4): 1037-1055 (2004)
14. C. Bardos, F. Golse, A. D. Gottlieb and N. J. Mauser
    On the derivation of nonlinear Schrödinger and Vlasov equations.
    IMA Volumes in Mathematics and its Applications, Volume 136: Dispersive Transport Equations and Multiscale Models (2004).
15. C. Bardos, F. Golse, A. D. Gottlieb and N. J. Mauser
    Mean-field dynamics of fermions and the time-dependent Hartree-Fock equation.
    Journal des Mathématiques Pures et Appliquées 82 (6): 665 - 683 (2003)
16. A. D. Gottlieb
    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)
17. A. D. Gottlieb
    Propagation of chaos in classical and quantum kinetics.
    Stochastic Analysis and Mathematical Physics II (R. Rebolledo, ed.) Trends in Mathematics, Birkhäuser, 2003.
18. A. D. Gottlieb and J. Lipman
    Group-theoretic axioms for projective geometry.
    Canadian Journal of Mathematics 43 (1): 89 - 107 (1991)

Technical Reports and Manuscripts

19. A. D. Gottlieb and T. Schumm
    Opposite sign correlations in fermion or boson gases.
    Archived at arXiv:0705.3491v1 (2007)
20. A. D. Gottlieb
    Two examples of discrete-time quantum walks taking continuous steps.
    Archived at quant-ph/0310026 (2003)
21. A. D. Gottlieb
    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. A. D. Gottlieb
    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. A. D. Gottlieb and T. Burin des Roziers
    Experiments in first-order Optimal Prediction.
    Lawrence Berkeley National Laboratory LBNL - 44191 (1999)
24. A. D. Gottlieb
    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 Schrödinger 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

• Multiple Imputation for frequentists. Stats Group at CRCH, Honolulu. October 2010.
• 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.