Recent Publications

Siqi Fu

Position: Professor (Chair)
Phone: (856) 225-2349
Email: sfu@rutgers.edu
Web: https://crab.rutgers.edu/~sfu

  1. The Diederich-Fornaess exponent and non-existence of Stein domains with Levi-flat boundaries (with Mei-Chi Shaw), Journal of Geometric Analysis, 26 (2016), 220-230. (PDF file).
  2. Stability of the Bergman kernel on a tower of coverings (with Bo-Yong Chen), Journal of Differential Geometry , 104 (2016) 371-398. (PDF file).
  3. Hearing pseudoconvexity in Lipschitz domains with holes via (with Christine Laurent-Thiébaut and Mei-Chi Shaw), Mathematische Zeitschrift, 2017, available online. (PDF file).
  4. Stability of the Bergman kernel on a tower of coverings (with Bo-Yong Chen), Journal of Differential Geometry , 104 (2016) 371-398. (PDF file).
  5. The Diederich-Fornaess exponent and non-existence of Stein domains with Levi-flat boundaries (with Mei-Chi Shaw), Journal of Geometric Analysis, 26 (2016), 220-230. (PDF file).
  6. Estimates of invariant metrics on pseudoconvex domains near boundaries with constant Levi ranks, Journal of Geometric Analysis, 24 (2014), 32-46. (PDF file).
  7. The reproducing kernels and the finite type conditions (with Bo-Yong Chen), Illinois Journal of Mathematics, 56 (2012), 67-83. (PDF file).
  8. Comparison of the Bergman and Szegö kernels (with Bo-Yong Chen), Advances in Mathematics 228 (2011), 2366-2384. (PDF file).
  9. Positivity of the -Neumann Laplacian, Complex Analysis:Several complex variables and connections with PDEs and geometry (Fribourg 2008), P. Ebenfelt, N. Hungerbuhler, J. Kohn, N. Mok, E. Straube (Eds), in the series: Trends in Mathematics, Springer, 2010, 145-158. (PDF File).
  10. The -cohomology groups, holomorphic Morse inequalities, and finite type conditions (with Howard Jacobowitz), Pure and Applied Mathematics Quarterly 6(2010), 875-914. (PDF file).
  11. The Kobayashi metric in the normal direction and the mapping problem, Complex Variables and Elliptic Equations 54 (2009), 303-316. (PDF file).
  12. Hearing the type of a domain in C2 with the -Neumann Laplacian, Advances in Mathematics 219 (2008), 568-603.

Howard Jacobowitz

Position: Distinguished Professor II (Sept 94-)
Phone: (856) 225-6308
Email: jacobowi@camden.rutgers.edu
Web: https://jacobowitz.camden.rutgers.edu

Research area: Involutive Structures, Several Complex Variables, Differential Geometry and Partial Differential Equations.

Recent Publications:

  1. (with E. Barletta and S. Dragomir ) Gravitational field equations on Fefferman space-time, to appear in Complex Analysis and Oerator Theory, 2017
  2. (with E. Barletta and  S. Dragomir) Linearized pseudo-Einstein Equations on the Heisenberg Group,   J. of Geometry andPhysics,112 (2016)          
  3. (with P. Landweber), CR Structures on Open Manifolds, Proceedings pf the  American Mathematics Society 144 (2016), no. 1, 235–248.
  4. (with P. Landweber), Totally Real Mappings and Independent Mappings, Bulletin of the Institute of Mathematics, Academia Sinica (Taiwan), 8(2013), 219-230.
  5. Holomorphic Sections of Powers of a Line Bundles, Seminario Interdisciplinare di Matematica, Universit a degli Studi della Basilicata Dipartimento di Matematica, Vol. 11(2012), pp. 1–9.
  6. (with P. Ho and P. Landweber), Optimality for totally real immersions and independent mappings into C^N,  New York Journal of Mathematics, 18(2012), 463-477.
  7. (with E. Barletta, S. Dragomir, and M. Soret), b-Completion of Pseudohermitian Manifolds,  Classical and Quantum Gravity, 29(2012), 095007 (27 pp.). 
  8. Convex Integration and the h-Principle, Lecture Notes Series, Number 55, 2011, Research Institute of Mathematics, Seoul National University, Korea.
  9. (with S. Metzler), Geometric sensitivity of a pinhole collimator, International Journal of Mathematics and Mathematical Sciences, vol. 2010, Article ID 915958.
  10. (with S. Fu), The d-bar b cohomology groups, holomorphic morse inequalities, and the finite type condition, Pure and Applied Mathematics Quarterly, 6(2010) no. 3, 875-914.
  11. Non-vanishing complex vector fields and their Euler characteristic. Proc. Amer. Math. Soc. 137 (2009), no. 9, 3163—3165. (PDF File, 55 KB))
  12. (with P. Landweber), Totally Real Mappings and Independent Mappings, to appear in The Bulletin of the Institute of Mathematics Academia Sinica (PDF File)

Recent Lectures:

  1. Asymptotic estimates for sections of a holomorphic line bundle, Brazil 2007
  2. CR-generic Immersions, Joint American and Chinese Mathematical Societies Meeting, Shanghai 2008
  3. Generic CR Immersions, Brazil 2009
  4. Three lectures on The h-principle in CR geometry, Korea 2009
  5. Generic CR Immersions, Austria 2009
  6. Two lectures on The h-principle and CR generic immersions, Temple University 2010

Haisheng Li

Position: Professor
Email: hli@camden.rutgers.edu
Web: https://math.camden.rutgers.edu/faculty/haisheng-li/

Fields of Interest: Vertex algebras, quantum vertex algebras, and Kac-Moody Lie algebras

Recent Publications:

  1. G-equivariant phi-coordinated quasi modules for quantum vertex algebras, J. Math. Phys. 54 (2013). 
  2. On vertex Leibniz algebras, J. Pure Appl. Algebra 217 (2013) 2356-2370, with Shaobin Tan and Qing Wang.
  3. Toroidal vertex algebras and their modules, J. Algebra 365 (2012) 50-82, with Shaobin Tan and Qing Wang.
  4. Twisted modules and pseudo-endomorphisms, Algebra Colloquium 19 (2012) 219-236.
  5. Quantum vertex algebras and their phi-coordinated quasi modules, Commun. Math. Phys. 308 (2011) 703-741.
  6. Associating quantum vertex algebras to deformed Heisenberg Lie algebras, Front. Math. China 2011, 6(4):707-730.
  7. Vertex algebras associated with elliptic affine Lie algebras, Commun. Contemporary Math. 13 (2011) 579-605, with Jiancai Sun.
  8. Twisted tensor products of nonlocal vertex algebras, J. Algebra345 (2011) 266-294, with Jiancai Sun.
  9. Vertex $F$-algebras and their phi-coordinated modules, J. Pure Appl. Algebra 215 (2011) 1645-1662.
  10. Quantum vertex F((t))-algebras and their modules, J. Algebra 324 (2010) 2262-2304.
  11. h-adic quantum vertex algebras and their modules, Commun. Math. Phys.296 (2010) 475-523.
  12. Twisted modules for quantum vertex algebras, J. Pure Appl. Algebra 214 (2010) 201-220, with Shaobin Tan and Qing Wang.

Gabor Toth

Position: Distinguished Professor and Chair of the Department of Mathematical Sciences
Phone: (856) 225-6538
Email: gtoth@camden.rutgers.edu
Web: https://math.camden.rutgers.edu/faculty/gabor-toth/

Fields of Interest: Harmonic Maps and Minimal Immersions, Computer Graphics, Middle Egyptian Grammar.

Recent Publications: