Math @ Duke
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Papers Published
- Di Cerbo, LF; Stern, M, Price inequalities and Betti number growth on manifolds without conjugate points,
Communications in Analysis and Geometry, vol. 30 no. 2
(January, 2022),
pp. 297-334, International Press [doi] [abs]
- Cherkis, SA; Larrain-Hubach, A; Stern, M, Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem,
Journal of Differential Geometry, vol. 119 no. 1
(December, 2021),
pp. 1-72, International Press [abs]
- Cherkis, S; Larraín-Hubach, A; Stern, M, Instantons on multi-Taub-NUT Spaces II: Bow Construction,
Journal of Differential Geometry
(March, 2021), International Press [abs]
- Cerbo, LFD; Stern, M, On the Betti Numbers of Finite Volume Hyperbolic Manifolds
(September, 2020) [abs]
- Cerbo, LFD; Stern, M, Harmonic Forms, Price Inequalities, and Benjamini-Schramm Convergence
(September, 2019) [abs]
- Lipnowski, M; Stern, M, Geometry of the Smallest 1-form Laplacian Eigenvalue on Hyperbolic Manifolds,
Geometric and Functional Analysis, vol. 28 no. 6
(December, 2018),
pp. 1717-1755, Springer Nature [doi] [abs]
- Stern, M, "Nonlinear Harmonic Forms and Indefinite Bochner Formulas " in
Hodge Theory and L^2-Analysis, vol. 39
(2017), Higher Education Press
- Stern, MA; Charbonneau, B, Asymptotic Hodge Theory of Vector Bundles,
Communications in Analysis and Geometry, vol. 23 no. 3
(December, 2015),
pp. 559-609, International Press
- Stern, M, $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics
(October, 2014) (arXiv:1410.8851.) [abs]
- Degeratu, A; Stern, M, Witten Spinors on Nonspin Manifolds,
Communications in Mathematical Physics, vol. 324 no. 2
(2013),
pp. 301-350, Springer Nature, 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
(2013),
pp. 1-56, Springer Nature, ISSN 1126-6708 [1212], [doi] [abs]
- Quigley, C; Sethi, S; Stern, M, Novel branches of (0, 2) theories,
Journal of High Energy Physics, vol. 2012 no. 9
(January, 2012) [doi] [abs]
- Quigley, C; Sethi, S; Stern, M, Novel Branches of (0,2) Theories,
JHEP, vol. 1209 no. 064
(2012), Springer Science and Business Media LLC, ISSN 1029-8479 [3228], [doi] [abs]
- Stern, MA, Geometry of Stable Yang Mills Connections,
in Advances in Geometric Analysis
(2012), International Pressof Boston Incorporated, ISBN 9781571462480 [abs]
- Stern, M, Geometry of minimal energy Yang-Mills connections,
Journal of Differential Geometry, vol. 86 no. 1
(2010),
pp. 163-188, International Press of Boston, ISSN 0022-040X [arXiv:0808.0667], [doi] [abs]
- Stern, M, Spectral asymmetry for manifolds of special holonomy
(February, 2009) [abs]
- Stern, M, Fixed point theorems from a de Rham perspective,
Asian Journal of Mathematics, vol. 13 no. 1
(January, 2009),
pp. 065-088, ISSN 1093-6106 [doi]
- STERN, M, B FIELDS FROM A LUDDITE PERSPECTIVE,
in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3),
Quantum Theory and Symmetries
(October, 2004),
pp. 415-423, WORLD SCIENTIFIC [doi]
- Stern, MA, Mechanical D Branes and B Fields
(October, 2003) [abs]
- Paban, S; Sethi, S; Stern, M, Non-commutativity and Supersymmetry,
Journal of High Energy Physics, vol. 2002 no. 03
(March, 2002),
pp. 012-012, Springer Science and Business Media LLC [0201259], [doi]
- Paban, S; Sethi, S; Stern, M, I. Non-commutativity and supersymmetry,
Journal of High Energy Physics, vol. 6 no. 3
(March, 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,
Journal of High Energy Physics, vol. 5 no. 11
(January, 2001),
pp. 1-19, 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
(December, 2000),
pp. 1-15, ISSN 0556-2821 [hep-th/0005275], [doi] [abs]
- Sethi, S; Stern, M, The structure of the D0-D4 bound state,
Nuclear Physics B, vol. 578 no. 1-2
(July, 2000),
pp. 163-198, Elsevier BV [hep-th/0002131], [doi] [abs]
- Sethi, S; Stern, M, Invariance theorems for supersymmetric Yang-Mills theories,
Advances in Theoretical and Mathematical Physics, vol. 4 no. 2
(January, 2000),
pp. 487-501, ISSN 1095-0761 [hep-th/0001189], [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
(January, 1999),
pp. 343-361, ISSN 1095-0761 [doi] [abs]
- Paban, S; Sethi, S; Stern, M, Constraints from extended supersymmetry in quantum mechanics,
Nuclear Physics B, vol. 534 no. 1-2
(November, 1998),
pp. 137-154, Elsevier BV [doi] [abs]
- Sethi, S; Stern, M, D-brane bound states redux,
Communications in Mathematical Physics, vol. 194 no. 3
(1998),
pp. 675-705, Springer Nature [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
(April, 1997),
pp. 47-51, Elsevier BV [doi] [abs]
- Sethi, S; Stern, M; Zaslow, E, Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories,
Nuclear Physics, Section B, vol. 457 no. 3
(December, 1995),
pp. 484-510, Elsevier BV, ISSN 0550-3213 [doi] [abs]
- Stern, M, Lefschetz formulae for arithmetic varieties,
Inventiones Mathematicae, vol. 115 no. 1
(December, 1994),
pp. 241-296, Springer Nature, ISSN 0020-9910 [doi]
- Stern, M, Index theory for certain complete kähler manifolds,
Journal of Differential Geometry, vol. 37 no. 3
(January, 1993),
pp. 467-503, International Press of Boston [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,
Journal of the American Mathematical Society, vol. 4 no. 3
(January, 1991),
pp. 603-621, American Mathematical Society (AMS) [doi]
- Stern, M, Eta invariants and Hermitian locally symmetric spaces,
Journal of Differential Geometry, vol. 31 no. 3
(January, 1990),
pp. 771-789, International Press of Boston [doi]
- Stern, M; Saper, L, L²-cohomology of arithmetic varieties,
Annals of Mathematics, vol. 132 no. 1
(1990),
pp. 1-69, JSTOR [doi]
- Stern, M, L2-index theorems on locally symmetric spaces,
Inventiones Mathematicae, vol. 96 no. 2
(June, 1989),
pp. 231-282, Springer Nature, ISSN 0020-9910 [doi]
- Saper, L; Stern, M, L²-cohomology of arithmetic varieties,
Proc Natl Acad Sci U.S.A., 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
- Mark Stern, Nonlinear Harmonic Forms and an Exotic Bochner Formula
(2014) (arXiv:1411.0144.)
- 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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