## Siqi Fu

**Position:** Professor (Chair)

**Phone: **(856) 225-2349

**Email: **sfu@rutgers.edu

**Web:** https://crab.rutgers.edu/~sfu

- 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). - Stability of the Bergman kernel on a tower of coverings (with Bo-Yong Chen), Journal of Differential Geometry ,
**104**(2016) 371-398. (PDF file). - Hearing pseudoconvexity in Lipschitz domains with holes via (with Christine Laurent-Thiébaut and Mei-Chi Shaw), Mathematische Zeitschrift, 2017, available online. (PDF file).
- Stability of the Bergman kernel on a tower of coverings (with Bo-Yong Chen), Journal of Differential Geometry ,
**104**(2016) 371-398. (PDF file). - 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). - Estimates of invariant metrics on pseudoconvex domains near boundaries with constant Levi ranks, Journal of Geometric Analysis,
**24**(2014), 32-46. (PDF file). - The reproducing kernels and the finite type conditions (with Bo-Yong Chen), Illinois Journal of Mathematics,
**56**(2012), 67-83. (PDF file). - Comparison of the Bergman and Szegö kernels (with Bo-Yong Chen), Advances in Mathematics
**228**(2011), 2366-2384. (PDF file). - 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).
- The -cohomology groups, holomorphic Morse inequalities, and finite type conditions (with Howard Jacobowitz), Pure and Applied Mathematics Quarterly
**6**(2010), 875-914. (PDF file). - The Kobayashi metric in the normal direction and the mapping problem, Complex Variables and Elliptic Equations
**54**(2009), 303-316. (PDF file). - Hearing the type of a domain in C
^{2}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:**

- (with E. Barletta and S. Dragomir ) Gravitational field equations on Fefferman space-time, to appear in Complex Analysis and Oerator Theory, 2017
- (with E. Barletta and S. Dragomir) Linearized pseudo-Einstein Equations on the Heisenberg Group, J. of Geometry andPhysics,112 (2016)
- (with P. Landweber), CR Structures on Open Manifolds, Proceedings pf the American Mathematics Society 144 (2016), no. 1, 235–248.
- (with P. Landweber), Totally Real Mappings and Independent Mappings, Bulletin of the Institute of Mathematics, Academia Sinica (Taiwan), 8(2013), 219-230.
- 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.
- (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.
- (with E. Barletta, S. Dragomir, and M. Soret), b-Completion of Pseudohermitian Manifolds, Classical and Quantum Gravity, 29(2012), 095007 (27 pp.).
- Convex Integration and the h-Principle, Lecture Notes Series, Number 55, 2011, Research Institute of Mathematics, Seoul National University, Korea.
- (with S. Metzler), Geometric sensitivity of a pinhole collimator, International Journal of Mathematics and Mathematical Sciences, vol. 2010, Article ID 915958.
- (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.
- Non-vanishing complex vector fields and their Euler characteristic. Proc. Amer. Math. Soc. 137 (2009), no. 9, 3163—3165. (PDF File, 55 KB))
- (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:**

- Asymptotic estimates for sections of a holomorphic line bundle,
*Brazil 2007* - CR-generic Immersions, Joint American and Chinese Mathematical Societies Meeting,
*Shanghai 2008* - Generic CR Immersions,
*Brazil 2009* - Three lectures on The h-principle in CR geometry,
*Korea 2009* - Generic CR Immersions,
*Austria 2009* - 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:**

- G-equivariant phi-coordinated quasi modules for quantum vertex algebras,
*J. Math. Phys.***54**(2013). - On vertex Leibniz algebras,
*J. Pure Appl. Algebra***217**(2013) 2356-2370, with Shaobin Tan and Qing Wang. - Toroidal vertex algebras and their modules,
*J. Algebra***365**(2012) 50-82, with Shaobin Tan and Qing Wang. - Twisted modules and pseudo-endomorphisms,
*Algebra Colloquium***19**(2012) 219-236. - Quantum vertex algebras and their phi-coordinated quasi modules,
*Commun. Math. Phys.***308**(2011) 703-741. - Associating quantum vertex algebras to deformed Heisenberg Lie algebras,
*Front. Math. China*2011, 6(4):707-730. - Vertex algebras associated with elliptic affine Lie algebras,
*Commun. Contemporary Math.***13**(2011) 579-605, with Jiancai Sun. - Twisted tensor products of nonlocal vertex algebras,
*J. Algebra***345**(2011) 266-294, with Jiancai Sun. - Vertex $F$-algebras and their phi-coordinated modules,
*J. Pure Appl. Algebra***215**(2011) 1645-1662. - Quantum vertex F((t))-algebras and their modules,
*J. Algebra***324**(2010) 2262-2304. - h-adic quantum vertex algebras and their modules,
*Commun. Math. Phys.***296**(2010) 475-523. - 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:**

- (with Q. Guo)
*Dual mean Minkowski measures and the Grünbaum conjecture for affine diameters*, Pacific Math. J. (2017) (to appear). - (with K. Miura)
*On the moduli of isotropic and helical minimal immersions between spheres*, Michigan Math. Journal (2017), DOI 10.1307/mmj/1496822425 (to appear) - (with Q. Guo)
*Dual mean Minkowski measures of asymmetry for convex bodies*, Sci China Math 59 (2016) 1383-1394, DOI 10.1007/s11425-016-5121-x - (with K. Miura) On the moduli of isotropic and helical minimal immersions between spheres.
- (with Q. Guo) Dual mean Minkowski measures and the Grunbaum conjecture for affine diameters.
- (with Q. Guo) Dual mean Minkowski measures of asymmetry for convex bodies, Sci China Math 59 (2016), DOI 10.1007/s11425-016-5121-x.
- On the space of orthogonal multiplications in three and four dimensions and Cayley’s nodal cubic, Contributions to Algebra and Geometry 57 (2016) 407-439, DOI 10.1007/s1336-015-0269-z.
- Minimal simplices inscribed in a convex body, Geometriae Dedicata, Vol. 170, 1(2014) 303-318.
- Notes on Schneider’s stability estimates for convex sets, J. of Geom. Vol. 104, 3 (2013) 585-598.
- Simplicial slices of the space of minimal SU(2)-orbits in spheres, Contributions to Algebra and Geometry, 54(2013) 683-699.
- (with M. McClain) The Stela of Qema-Mar and His Household, Journal of Archaeology of the Zagreb Museum, VAMZ, 3. S., XLV (2012) 553-563.
- A measure of symmetry for the moduli of spherical minimal immersions, Gemoetriae Dedicata 160, 1(2012) 1-14.
- Fine structure of convex sets from asymmetric viewpoint, Contributions to Algebra and Geometry, Col. 52, 1(2011) 171-189.