Professor of Mathematics
Rutgers, The State University of New Jersey
Department of Mathematics
Hill Center, Busch Campus
Piscataway NJ 08854
Fax: (732) 445-5530
Office: 436 Hill Center, Busch
Research interests: Mathematical Physics (special and general relativity, quantum mechanics).
(with A. Burtscher and M. Kiessling) Weak Second Bianchi Identity for Spacetimes with Timelike Singularities (submitted to Class. Quant. Grav.), (2019), 20 pages. [arXiv:1901.00813]
(with M. Kiessling) On the Quantum Mechanics of a Single Photon, Jour. Math. Phys. 59, 112302 (2018), 34 pages. [arXiv:1801.00268]
(with S. Beheshti) Integrability and Vesture for Harmonic Maps into Symmetric Spaces, Rev. Math. Phys. 28:03 1650006 (2016), 44 pages. [arXiv: 1209:1383].
(with M. Kiessling) A novel quantum-mechanical interpretation of the Dirac equation, Jour. Phys. A (2016), 54 pages. [arXiv:1411.2296]
(with M. Kiessling) Dirac's point electron in the zero-gravity Kerr--Newman world, in Quantum Mathematical Physics, F. Finster, J. Kleiner, C. Roken, and J. Tolksdorf, eds., Birkhauser Basel, 2016. [arXiv: 1505.05552]
On a zero-gravity limit of the Kerr-Newman spacetimes and their electromagnetic fields, Jour. Math. Phys. 56, 042501 (2015) [arXiv:1410.0416]
(with Michael Kiessling) The Dirac point electron in zero-gravity Kerr--Newman spacetime Jour. Math. Phys. 56, 042303 (2015) [arXiv:1410.0419]
(with S. Beheshti) Dressing with control: Using integrability to generate desired solutions to Einstein's equations. in The sine-Gordon Model and its Applications, Springer International Publishing, 2014. 207-231. [arXiv:1312.5253]
On the static spacetime of a single point charge, Reviews in Mathematical Physics, 23 No. 3 (2011) 1-38. [arXiv:1012.1400]
(with M. Kiessling) On the relativistic Vlasov-Poisson system, Indiana University Math Journal, Vol. 57, No. 7 (2008), 3177—3207 [arXiv:0708.1760v3].
(with N. Burq, F. Planchon & J. Stalker) Strichartz estimates for wave and Schroedinger equations with potentials of critical decay, Indiana University Math Journal, Vol. 53, No. 6 (2004), 1667-1682 [arXiv:math.AP/0401019].
(with J. Stalker) Scalar waves on naked singularity backgrounds, Classical and Quantum Gravity, Vol. 21, 2831--2848 (2004) [arXiv:gr-qc/0401011].
(with N. Burq, F. Planchon & J. Stalker) Strichartz estimates for the wave and Schroedinger equations with the inverse-square potential, Journal of Functional Analysis Vol. 203, 519--549, (2003). [arXiv:math/0207152]
(with J. Stalker & F. Planchon) Dispersive Estimate for the Wave Equation with the Inverse-Square Potential, Discrete and Continuous Dynamical Systems, Vol. 9, No. 6, 1387--1400, (2003).
(with J. Stalker & F. Planchon) L^p Estimates for the Wave Equation with the Inverse-Square Potential, Discrete and Continuous Dynamical Systems, Vol. 9, N0. 2, 427--442, (2003).
(with Yan Guo) Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics, Contemporary Mathematics, Vol. 238, 151--161, (1999). [arXiv:math/9807136]
Relativistic and non-relativistic elastodynamics with small shear strains, Ann. Inst. H.~Poincare Phys. Theor., Vol. 69, No. 3, 275--307, (1998).
(with T. Cazenave & J.~Shatah) Harmonic maps of the hyperbolic space and development of singularities for wave maps and Yang-Mills fields, Ann. Inst. H.~Poincare Phys. Theor. Vol. 68, N0. 3, 315--349, (1998).
(with A. Schlatter & M.~Struwe) Global existence of the equivariant Yang-Mills flow in four dimensions, Amer. J. Math. , Vol. 120, 117--128, (1998).
(with J. Shatah) On the stability of stationary wave maps, Comm. Math. Phys., Vol. 185, 231--256, (1997).
(with J. Shatah) On the Cauchy problem for equivariant wave maps, Comm. Pure Appl. Math., Vol. XLVII, 719-754, (1994).
(with D. Christodoulou) On the asymptotic behavior of spherically symmetric wave maps, Duke Math. Jour., Vol. 71, No. 1, 31-69, (1993).
(with D. Christodoulou) On the regularity of spherically symmetric wave maps, Comm. Pure Appl. Math., Vol. XLVI, 1041-1091, (1993).
(with J. Shatah) Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds, Comm. Pure Appl. Math., Vol. XLV, 947-971, (1992).
Bohmian Rhapsody 0
Bohmian Rhapsody 1
Bohmian Rhapsody 2
Interacting Electron-Photon System
Last updated: January 2019