Yisong Yang

Positions Held

Professor, 1995 - present, Department of Mathematics, Polytechnic Institute of New York University (before July 1, 2008: Polytechnic University of New York), Brooklyn, New York (on leave 2001 - 2002 and 2008-2009)

Professor, 2008 - 2009, Department of Mathematics, Yeshiva University, New York, New York

Member, 2001 - 2002, School of Mathematics, Institute for Advanced Study, Princeton, New Jersey

Member, July - August, 1999, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France

Associate Professor, 1994 - 1995, Department of Mathematics, Polytechnic University, Brooklyn, New York

Associate Professor, 1993 - 1995, Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico (on leave 1993 - 1995)

Member, 1993 - 1994, School of Mathematics, Institute for Advanced Study, Princeton, New Jersey

Visiting Assistant Professor, 1992 - 1993, Department of Mathematics and Center for Nonlinear Analysis, Carnegie-Mellon University, Pittsburgh, Pennsylvania

Assistant Professor, 1989 - 1993, Department of Mathematics and Statistics, University of New Mexico (on leave 1992 - 1993)

Postdoctoral Member, 1988 - 1989, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota

Education

Ph.D. in Mathematics, 1985 - 1988, University of Massachusetts, Amherst, Massachusetts.

Dissertation Advisor: Professor Joel Spruck

M. S. in Mathematics, 1982 - 1985, Chinese Academy of Sciences.

Thesis Advisor: Professor Kwok-Ping Li (李国平)

B. S. in Mathematics, 1978 - 1982, Henan University.

Areas of Research

Nonlinear Partial Differential Equations

Mathematical Physics

Applied Mathematics

Honors and Awards

AMS Invited Hour Address, 2001, Williams College, Williamstown, Massachusetts

Institut Henri Poincare Gauthier-Villars Prize, 1996, Paris, France (with Joel Spruck)

Othmer Senior Faculty Fellow, 2006 - 2009, Polytechnic University

Efroymson Faculty Award for Excellence, 1991, University of New Mexico

University Graduate Fellowship, 1986 - 1987, University of Massachusetts

Research Grants

2005 - 2008: National Science Foundation Grant DMS - 0406446

1999 - 2002: National Science Foundation Grant DMS - 9972300

1995 - 1998: National Science Foundation Grant DMS - 9505170

1994 - 1996: National Science Foundation Grant DMS - 9400243 (DMS - 9596041)

Membership

American Mathematical Society

Conference Organizer

Co-organized (with J. C. Talvacchia) "Special Session on Gauge Field Theory" for the 910th American Mathematical Society Meeting held at the Courant Institute, NYU, New York, April 13 - 14, 1996

Co-organized (with F.-H. Lin and N. Masmoudi) "Special Session on PDEs and Calculus of Variations" for the 971st American Mathematical Society Meetingheld at the Williams College, Williamstown, Massachusetts, October 13 - 14, 2001

Service on Committee at University Level

Tenure and Promotion Committee, 2005 - 2006, 1999 - 2001, 2009-2010, Polytechnic Institute of New York University, Brooklyn, New York

Invited Conference Talks

1. "Vortices on Riemann Surfaces"  - Special Session on Geometry and Topology of Moduli Spaces (The 858th AMS Conference, Albuquerque, April 1990).

2. "Global Bifurcation in the Bardeen-Cooper-Schrieffer Energy Gap Equation"  - Special Session on Quantum and Statistical Mechanics (The 2nd International SIAM Conference, Washington D. C., July 1991).

3. "Multivortices in the Electroweak Theory"   - Joint Summer Research Conference on Mathematical Aspects of Classical Field Theory (AMS-IMS-SIAM), Seattle, July 1991.

4. "The Self-Dual Chern-Simons Solitons"  - Special Session on Nonlinear Partial Differential Equations (The 868 AMS Conference, Philadelphia, October 1991).

5. "Nonlinear Elliptic PDEs in the Salam-Weinberg Theory" - First Applied Mathematics Symposium of Young Researchers (Beijing, July 1992).

6. "The Self-Dual Cosmological Equations"  - Special Session on Nonlinear Elliptic Problems in Geometry and Physics (The 881st AMS Conference, Washington D. C., April 1993).

7. "The Minimization of Ginzburg-Landau Energy: How Much do we Know?"  - One-hour invited talk at Workshop on Recent Progress and Applications of the Ginzburg-Landau Equations (Carnegie-Mellon University, Pittsburgh, June 1993).

8. "Vortices in the Theory of Superconductivity" - One-hour invited talk at Joint Summer Research Conference on the Mathematics of Superconductivity (AMS-IMS-SIAM, Seattle, July 1993).

9. "Gravitational Vortices and Two-Dimensional Nonlinear Elliptic Equations" - 45-minute invited talk at Japan-America Mathematical Institute Workshop on Nonlinear Partial Differential Equations, Pattern Formation, Singularities, and Related Topics (Johns Hopkins University, Baltimore, March, 1994).

10. Prescribing Topological Defects for the Coupled Einstein and Abelian Higgs Equations" -Special Session on Gauge Theory and Applications, (The 892nd AMS Conference, Brooklyn, New York, April, 1994).

11. "Gauged Harmonic Maps from ${\bf R}^2$ to $S^2$" - Special Session on Partial Differential Equations (The 910th AMS Conference, Courant Institute, New York, April, 1996).

12. "Particle-like Solitons in the Weinberg--Salam Theory and the Calculus of Variations"  -First North-America Tianyuan Mathematics Conference (MSRI, Berkeley, California, June, 1997).

13. "A Tale of Vortices and Anti-vortices" - Special Session on Concentration Phenomena in Partial Differential Equations (The 927th AMS Conference, University of Wisconsin, Milwaukee, October, 1997).

14. "Nonlinear Problems in Field Theories": Lecture I, "Self-dual Cosmic Strings"; Lecture II, "Electroweak Solitons and Nonlinear Analysis"; Lecture III, "Relativistic Chern-Simons Equations" - A series of three one-hour invited lectures at the  International Workshop on Mathematical and Physical Aspects of Field Theories  held at Seoul National University, Seoul, Korea, Feb. 23-25, 1998.

15. "Born-Infeld Theory and Nonlinear Elliptic Problems" - Special Session on Elliptic and Parabolic Equations, International Conference on DifferentialEquations and Dynamical Systems, Kennesaw, Georgia, May, 2000.

16. "Instantons, Characteristic Classes, and Nonlinear Elliptic Equations" - Special Session on Nonlinear Partial Differential Equations (The 959th AMSConference, Columbia University, New York, November, 2000).

17. "Nonlinear Problems in Born-Infeld Theory" - 50-minute invited lecture at the international conference  A Week End in Nonlinear Analysis, University of Rome, II, Italy, March 8 - 9, 2001.

18. "Harmonic Maps, Gauge Fields, and Magnetic Vortices"  - AMS hour invited address (The 971st AMS Conference, Williams College, Williamstown, October 13 - 14, 2001).

19. "Born-Infeld Electromagnetism, Generalized Bernstein Problems, andNonlinear PDEs" - Prairie Analysis Seminar, Kansas State University, Manhattan, October 19 - 20, 2001.

20. "Harmonic Representation of Topological Classes and a Vortex Equation" - International Conference on Diffusion-Reaction Equations, National Center of Theoretical Sciences, Taiwan, May 26 - 30, 2004.

21. "Geometry, Topology, and Gravitation Synthesized by Cosmic Strings"

- 45-minute invited talk at Nonlinear Partial Differential Equations and Calculus of Variations (an

international conference dedicated to the 60th birthday of Professors R. Gulliver, R. Hardt, and L. Simon), Center of Mathematical Sciences, Zhejiang University, Hangzhou, China, June 20 - 23, 2005.

22. "Mathematics of the BCS Gap Equations in Superconductivity" - 45-minute invited talk at Workshop on Ginzburg-Landau Theory and Related Topics, Morningside Center of Mathematics, Chinese Academy of Science, Beijing, China, June 28 - 30, 2005.

23. "Faddeev Knots and Skyrme Solitons" - 45-minute invited talk at International Conference on Differential Geometry Methods in Theoretical Physics XXIII, Nankai Institute of Mathematics, Tianjin, China, August 20 - 26, 2005.

24. "Faddeev Knots, Skyrme Solitons, and Concentrated-Compactness" - 45-minute invited talk

at Special Session on Geometric Analysis and Calculus of Variations,  First Joint American Mathematical Society and Taiwanese Mathematical Society Conference, Tunghai University, Taiwan, December 14 - 18, 2005.

25. "Topics in Mathematical Physics - Harmonically Representing Topological Classes" - a series of four invited lectures at the Graduate Summer School, Fudan University, Shanghai, China, June 2006.

26. "Relativistic Chern-Simons Equations and Variational Methods" -- 20-minute invited talk at the Special Session on Nonlinear Differential Equations and Applications (The 1020th AMS Conference, University of Cincinnati, Cincinnati, October 21--22, 2006).

27. "Some Nonlinear Elliptic Problems in Mathematical Physics" -- One-hour invited talk at the conference Geometric Analysis and Nonlinear Elliptic PDEs (on the occasion of the 60th birthday of Professor Joel Spruck), Johns-Hopkins University, Baltimore, October 27--29, 2006.

28. ``Knot Energy, Hopf Charge, and Universal Growth Laws" -- One-hour

invited talk at  International Conference on Topology and Physics, Chern Institute of

Mathematics, Nankai University, Tianjin, China, July 26 -- August 1, 2007.

29. ``Self-Gravitating Monopoles" -- 20-minute invited talk at Special Session on Elliptic and Parabolic PDEs,   First Joint Americal Mathematical Society and

Shanghai Mathematical Society Conference, Fudan University, Shanghai, PR China, December 14 - 20, 2008.

30. ``Existence and Absence of Electricity in Gauge Field Theory" -- 20-minute invited talk at Special Session on Effective Dynamics and Interactions of Localized Structures in Schr\"{o}dinger Type Equations at the 1050th AMS Conference, Worcester Polytechnic Institute,

Worcester, MA, April 25--26, 2009.

31. ``Compactness and Minimization for Two-Dimensional Skyrme Energy" -- 20-minute invited talk at Special Session on Analysis of Weakly Differentiable Maps with Constraints and Applications at

the 1050th AMS Conference, Worcester Polytechnic Institute,

Worcester, MA, April 25--26, 2009.

32. ``Electrically Charged Solitons in Gauge Field Theory" -- 90-minute invited talk at the international conference  Differential and Topological Problems in Modern

Theoretical Physics, SISSA, Trieste, Italy, April 26--30, 2010.

33. ``Vortices in Non-Abelian Gauge Field Theory"  -- 60-minute invited talk at the international conference  Nonlinear Phenomena -- A View from Mathematics and Physics,

National Taiwan University, Taipei, January 10--14, 2011.

Seminar or Colloquium Talk(s) at

University of Minnesota, Michigan State University, University of New Mexico, University of Pittsburgh, Virginia Polytechnic Institute and State University,University of Massachusetts, Johns Hopkins University, Carnegie-Mellon University, Tulane University, Institute for Advanced Study, Polytechnic University of New York, Rensselaer Polytechnic Institute, Lehigh University,Courant Institute of Mathematical Sciences (NYU), Rutgers University, McMaster University, University of Sussex (UK), National University of Ireland, Niels Bohr Institute (Copenhagen), Princeton University, City University of New York Graduate Center, Brown University, National Chung-Cheng University (Taiwan), National Center for Theoretical Sciences and National Tsinghua University (Taiwan), Ohio State University, Yeshiva University.