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Math @ Duke
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Curriculum Vitae
Mark A. SternClick here for a printer-ready version, or
download as a PDF or Word file.-
| Box 90320, Durham, NC 27708-0320
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 (email)
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- Education
| Ph.D. | Princeton University | 1984 |
| B.S. | Texas A&M University | 1980 |
- Areas of Research
Geometric Analysis, Yang-Mills theory, Hodge theory, string theory
- Professional Experience / Employment History
- Duke University
- Professor, Department of Mathematics, 1992 - present
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- Associate Professor, Department of Mathematics, 1988 - 1992
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- Assistant Professor, Department of Mathematics, 1985 - 1988
- Institute for Advanced Study
- Member, Mathematics, 1988 - 1990
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- Member, Mathematics, 1984 - 1985
- Awards, Honors, and Distinctions
Sloan Fellowship 1990-92
Presidential Young Investigator Award 1989-94
Fellow of the American Mathematical Society, American Mathematical Society, 0 2013
Sloan Research Fellowship-Mathematics, Alfred P. Sloan Foundation, 0 1990
Presidential Young Investigator, National Science Foundation, 0 1989
- Major Grant Support
NSF
- Recent Grant Support
- The Geometry and Analysis of Yang-Mills Instantons., Simons Foundation, 2023/09-2028/08.
- Bound states, singularities, and supersymmetry, NSF, 2002/07.
- Selected Recent Invited Talks
- Nahm Transform: Old and New, Huairou China, 23 July 2024
- p-harmonic forms, L^p Hodge theory, and L^p cohomology, Zoom, 21 June 2024
- Nahm Transform Yoga: Invertibility and Isometry, Montreal, 20 May 2024
- Monotonicity, Betti numbers, and small eigenvalues, U. Georgia, Atlanta, 19 March 2023
- Nahm transform for ALF spaces, U Florida, 25 October 2022
- Nahm Transform Yoga, AIM, 29 July 2022
- Bubbling threshholds for Yang Mills and harmonic maps in fat negatively curved spaces , Banff, Alberta, Canada , 5 February 2021
- A Coarse Cheeger Inequality for one Forms, Duke, 18 March 2019
- Monotonicity and Betti Number Bounds, Harvard, 23 October 2018
- Nahm Transform for ALF spaces, SUNY Stonybrook, 6 March 2018
- Monotonicity and Betti Number Bounds, CUNY Graduate Seminar, 15 February 2018
- Monotonicity and Betti number bounds, BIRS, 29 August 2017
- Spectral geometry of the 1 form Laplacian on hyperbolic manifolds., Hunter College, NYC, 6 May 2017
- Instantons on ALF spaces, CUNY , 6 December 2016
- Instantons on ALF spaces, University of Waterloo, 2 December 2016
- Instantons on ALF spaces, Trieste, Italy, 24 October 2016
- Instantons on ALF spaces, Harvard University, 11 October 2016
- Decay and Moduli of Yang Mills Instantons, Newton Institute, July 21, 2015 [20150721153016302]
- Introduction to nonlinear harmonic forms, U. Maryland, March 30, 2015
- Introduction to nonlinear harmonic forms, University of Houston, February 28, 2015
- Introduction to nonlinear harmonic forms, Chinese University, Hong Kong, December 09, 2014
- Introduction to nonlinear harmonic forms, Johns Hopkins, November 22, 2014
- Instanton Decay, Texas A&M, April, 2014
- Symmetry, singularity, and decay of Yang Mills fields, Texas A&M, March 20, 2014
- Stability, Hodge theory, and Grassmann embeddings, Irvine, May 21, 2013
- Hodge theory, Yang Mills, and Stability, U. of Arizona, Tucson, January 28, 2013
- Asymptotic Hodge Theory of Vector Bundles, Sanya, Hainan, China, December 18, 2011
- Stability, dynamics, and the quantum Hodge theory of vector bundles, Duke Mathematics, November 30, 2010
- The Quantum Hodge Theory of Vector Bundles, CUNY Geometric Analysis 2010 Bubbling Phenomena and Non-Compactness, March 12, 2010
- Geometry of Stable Yang-Mills connections, Graduate Center CUNY, October 20, 2009
- Geometry of Minimal Yang-Mills connections, Warsaw, April 06, 2009
- Geometry of Stable Yang-Mills connections, Texas A&M University, April 05, 2009
- Minimal Energy Yang-Mills Connections and Interpolating Instantons, Mathematical Sciences Research Institute, October 28, 2008
- Self-dual connections interpolating between components of the moduli space of flat connections on $T^3$, Montreal, CRM, August 27, 2007
- Index Theory from a de Rham Perspective, South East Geometry Conference, Charleston, March 04, 2006
- Positive mass conjecture for nonspin manifolds, Uniuversity of Chicago, May 2005
- The positive mass conjecture for nonspin manifolds, Atlanta AMS meeting, January 2005
- B fields from a Luddite perspective, QTS3 conference in Cincinnati, 11 September 2003
- Doctoral Theses Directed
- Janice McCarthy, L2 index theory and D-particle binding, (2009)
- Jeffrey Streets, Ricci Yang-Mills Flow, (December 15, 2003 - 2007)
Editor IMRN 1991-1997 - Publications (listed separately)
Last modified: 2025/05/29 |
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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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