Math @ Duke
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Papers Published
- "Nonlinear Harmonic Forms and Indefinite Bochner Formulas " in
Hodge Theory and L^2-Analysis, vol. 39
(2017), Higher Education Press
- Stern, MA, Asymptotic Hodge Theory of Vector Bundles,
Communications in Analysis and Geometry, vol. 23 no. 3
(December, 2015),
pp. 559-609, International Press
- Degeratu, A; Stern, M, Witten Spinors on Nonspin Manifolds,
Communications in Mathematical Physics, vol. 324 no. 2
(2013),
pp. 301-350, ISSN 0010-3616 [DG/1112.0194], [0194], [doi] [abs]
- Melnikov, I; Quigley, C; Sethi, S; Stern, M, Target spaces from chiral gauge theories,
Journal of High Energy Physics, vol. 2013 no. 2
(December 12, 2012),
pp. 1-56, ISSN 1126-6708 [1212], [doi] [abs]
- Quigley, C; Sethi, S; Stern, M, Novel Branches of (0,2) Theories,
The Journal of High Energy Physics, vol. 1209 no. 064
(2012), ISSN 1029-8479 [3228], [doi] [abs]
- Quigley, C; Sethi, S; Stern, M, Novel branches of (0, 2) theories,
Journal of High Energy Physics, vol. 2012 no. 9
(2012) [doi] [abs]
- Stern, MA, Geometry of Stable Yang Mills Connections,
in Advances in Geometric Analysis
(July, 2012), International Pressof Boston Incorporated, ISBN 1571462481 [abs]
- Stern, M, Geometry of minimal energy Yang-Mills connections,
Journal of Differential Geometry, vol. 86 no. 1
(2010),
pp. 163-188, ISSN 0022-040X [arXiv:0808.0667] [abs]
- Stern, M, Fixed point theorems from a de Rham perspective,
Asian Journal of Mathematics, vol. 13 no. 1
(2009),
pp. 065-088, ISSN 1093-6106
- M.A. Stern, B fields from a Luddite perspective,
in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3)
(2004)
- Paban, S; Sethi, S; Stern, M, Non-commutativity and Supersymmetry,
The Journal of High Energy Physics, vol. 2002 no. 03
(March, 2002),
pp. 012-012 [0201259], [doi]
- Paban, S; Sethi, S; Stern, M, I. Non-commutativity and supersymmetry,
Journal of High Energy Physics, vol. 6 no. 3
(2002),
pp. 183-200 [abs]
- Stern, MA, Quantum Mechanical Mirror Symmetry, D Branes, and B fields,
eprint
(2002) [02091292]
- Britto-Pacumio, R; Maloney, A; Strominger, A; Stern, M, Spinning bound states of two and three black holes,
The Journal of High Energy Physics, vol. 5 no. 11
(2001),
pp. XLIV-19, ISSN 1029-8479 [hep-th/0106099], [doi] [abs]
- Pardon, W; Stern, M, Pure hodge structure on the L2-cohomology of varieties with isolated singularities,
Journal fur die Reine und Angewandte Mathematik, vol. 533
(2001),
pp. 55-80
- Stern, M; Yi, P, Counting Yang-Mills dyons with index theorems,
Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 62 no. 12
(2000),
pp. 1-15, ISSN 0556-2821 [hep-th/0005275], [doi] [abs]
- Sethi, S; Stern, M, Invariance theorems for supersymmetric Yang-Mills theories,
Advances in Theoretical and Mathematical Physics, vol. 4 no. 2
(2000),
pp. 1-12, ISSN 1095-0761 [hep-th/0001189] [abs]
- Sethi, S; Stern, M, The structure of the D0-D4 bound state,
Nuclear Physics B, vol. 578 no. 1-2
(2000),
pp. 163-198 [hep-th/0002131] [abs]
- Sethi, S; Stern, M, Supersymmetry and the Yang-Mills effective action at finite N,
The Journal of High Energy Physics, vol. 3 no. 6
(1999),
pp. XIV-16, ISSN 1029-8479 [hep-th/99030409], [doi] [abs]
- Paban, S; Sethi, S; Stern, M, Summing up instantons in three-dimensional Yang-Mills theories,
Advances in Theoretical and Mathematical Physics, vol. 3 no. 2
(1999),
pp. 1-18, ISSN 1095-0761 [abs]
- Sethi, S; Stern, M, D-brane bound states redux,
Communications in Mathematical Physics, vol. 194 no. 3
(1998),
pp. 675-705 [abs]
- Paban, S; Sethi, S; Stern, M, Constraints from extended supersymmetry in quantum mechanics,
Nuclear Physics B, vol. 534 no. 1-2
(1998),
pp. 137-154 [abs]
- Paban, S; Sethi, S; Stern, M, Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories,
The Journal of High Energy Physics, vol. 2 no. 6
(1998),
pp. XXII-6, ISSN 1029-8479 [doi] [abs]
- Sethi, S; Stern, M, A comment on the spectrum of H-monopoles,
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 398 no. 1-2
(1997),
pp. 47-51 [abs]
- Sethi, S; Stern, M; Zaslow, E, Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories,
Nuclear Physics B, vol. 457 no. 3
(1995),
pp. 484-510, ISSN 0550-3213 [doi] [abs]
- Stern, M, Lefschetz formulae for arithmetic varieties,
Inventiones mathematicae, vol. 115 no. 1
(1994),
pp. 241-296, ISSN 0020-9910 [doi]
- Stern, M, Index theory for certain complete Kähler manifolds,
Journal of Differential Geometry, vol. 37 no. 3
(1993),
pp. 467-503 [doi]
- Saper, L; Stern, M, Appendix to: On the shape of the contribution of a fixed point on the boundary. The case of Q-rank one, by M. Rapoport,
in The zeta functions of Picard modular surfaces based on lectures delivered at a CRM Workshop in the spring of 1988, edited by Langlands, R; Ramakrishnan, D
(1992),
pp. 489-491, Centre De Recherches Mathématiques
- Pardon, WL; Stern, MA, L2 -∂-cohomology of complex projective varieties,
The Journal of the American Mathematical Society, vol. 4 no. 3
(January, 1991),
pp. 603-621 [doi]
- SAPER, L; STERN, M, L2-COHOMOLOGY OF ARITHMETIC VARIETIES,
Annals of Mathematics, vol. 132 no. 1
(July, 1990),
pp. 1-69 [doi]
- Stern, M, Eta invariants and Hermitian locally symmetric spaces,
Journal of Differential Geometry, vol. 31 no. 3
(1990),
pp. 771-789 [doi]
- Stern, M, L2-index theorems on locally symmetric spaces,
Inventiones mathematicae, vol. 96 no. 2
(1989),
pp. 231-282, ISSN 0020-9910 [doi]
- Saper, L; Stern, M, L(2)-cohomology of arithmetic varieties.,
Proceedings of the National Academy of Sciences of USA, vol. 84 no. 16
(August, 1987),
pp. 5516-5519 [doi] [abs]
- Bill Pardon, Mark A Stern, Pure Hodge structures on the L2-cohomology of varieties with isolated singularities.,
J. Reine Angew. Math. 533 (2001) 55-80.
- Sonia Paban, Savdeep Sethi, and Mark A. Stern, Summing Instantons in 3 dimensional Yang-Mills theories,
Adv. Theor. Math. Phys, vol. 3, (1999).
[hep-th/9808119] [abs]
- S. Paban, S. Sethi, Mark A Stern, Supersymmetry and higher derivative terms in the effective action of Yang-Mills,
J. High Energy Physics. 06:12 (1998)
- Mark A. Stern, L^2-Cohomology and index theory of noncompact manifolds,
Proceedings of Symposia in Pure Math. 54 (1993), 559-575
- L. Saper, Mark A. Stern, Appendix to an article of Rapaport,
Zeta functions of Picard Modular Varieties, R.P. Langlands and D. Ramakrishnan ed. CRM, Montreal (1992)
- L. Saper and Mark A. Stern, L^2 cohomology of arithmetic varieties,
Annals of Math. 132 (1990), 1-69
- Mark A. Stern, L^2 index theorems on locally symmetric spaces,
Inventiones 96 (1989), 231-282
- L.Saper and Mark A. Stern, L^2 cohomology of arithmetic varieties,
Proc. Natl. Acad. Sci. 84 (1987), 5516-5519
- Mark A. Stern, L^2 index theorems on warped products,
Thesis, Princeton University, 1984
Preprints
- Sergey A. Cherkis, Andres Larrain-Hubach, Mark Stern, Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem,
arXiv:1608.00018
(August, 2016) [abs]
- M.A. Stern, $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics
(2014) (arXiv:1410.8851.)
- Mark Stern, Nonlinear Harmonic Forms and an Exotic Bochner Formula
(2014) (arXiv:1411.0144.)
- M.A. Stern, Spectral asymmetry for manifolds of special holonomy
(2009)
- M.A. Stern, Mechanical B fields and D branes
(2003) [hep-th /0310020]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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