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Mark Stern

December 14, 2023

For the American psychologist, see E. Mark Stern.

Mark Stern is an American mathematician whose focus has been on geometric analysis, Yang–Mills theory, Hodge theory, and string theory.

One of Stern's foremost accomplishments is his proof (joint with Leslie D. Saper) of the Zucker conjecture concerning locally symmetric spaces.[1] Since about 2000, Stern has focused on geometric problems arising in physics, ranging from harmonic theory to string theory and supersymmetry.

Stern has taught at Duke University since 1985, and was promoted to professor in 1992. He has been the mathematics department chairman but has focused primarily on research and teaching, with major grant support from the National Science Foundation. At Duke, he teaches such courses as multivariable calculus.[2]

Since 2010, Stern has spoken to advanced math audiences at the Newton Institute, CUNY Graduate Center, U.C. Irvine, Johns Hopkins, the University of Maryland, and multiple academic groups.[3]

Academic background edit

Prior to Duke, Stern was a member of the Institute for Advanced Study at Princeton, where he received his Ph.D. in 1985. His thesis advisor was S.T. Yau. Stern studied math at Texas A&M, where he received his B.S. degree in 1980, before moving to Princeton. Stern grew up in Dallas, where he graduated from St. Mark's School of Texas.

Stern is a fellow of the American Mathematical Society and has won an Alfred P. Sloan Fellowship and a Presidential Young Investigator Award.[4][5][1] In 2014, Stern was inducted into the Academy of Distinguished Former Students at Texas A&M.[1]

Recent articles edit

1. M.A. Stern and B. Charbonneau, Asymptotic Hodge Theory of Vector Bundles, Comm. in Anal. and Geom., vol. 23 no. 3 (2015), pp. 559–609

2. B Charbonneau and M Stern, Asymptotic Hodge Theory of Vector Bundles, Geometry and Topology, vol. 23 no. 3 (2015), pp. 559–609 [DG/1111.0591], [0591] [abs]

3. A Degeratu and M Stern, 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]

4. I Melnikov, C Quigley, S Sethi and M Stern, 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]

5. M.A. Stern, Geometry of stable Yang—Mills connections, in Advanced Lectures in Mathematics Volume 21: Advances in Geometric Analysis (July, 2012), ISBN 9781571462480 [abs]

6. C Quigley, S Sethi and M Stern, Novel Branches of (0,2) Theories, JHEP, vol. 1209 no. 064 (2012), ISSN 1029-8479 [3228], [doi] [abs]

7. M Stern, 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]

8. M Stern, Fixed point theorems from a de Rham perspective, Asian Journal of Mathematics, vol. 13 no. 1 (2009), pp. 065–088, ISSN 1093-6106

9. M.A. Stern, B fields from a Luddite perspective, in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3) (2004)

10. S Paban, S Sethi and M Stern, I. Non-commutativity and supersymmetry, Journal of High Energy Physics, vol. 6 no. 3 (2002), pp. 183–200 [abs]

11. MA Stern, Quantum Mechanical Mirror Symmetry, D Branes, and B fields, eprint (2002) [02091292]

12. R Britto-Pacumio, A Maloney, A Strominger and M Stern, Spinning bound states of two and three black holes, Journal of High Energy Physics, vol. 5 no. 11 (2001), pp. XLIV-19, ISSN 1029-8479 [hep-th/0106099] [abs]

13. W Pardon and M Stern, 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

14. M Stern and P Yi, 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] [abs]

15. S Sethi and M Stern, 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]

16. S Sethi and M Stern, The structure of the D0-D4 bound state, Nuclear Physics B, vol. 578 no. 1-2 (2000), pp. 163–198 [hep-th/0002131] [abs]

17. S Sethi and M Stern, Supersymmetry and the Yang-Mills effective action at finite N, Journal of High Energy Physics, vol. 3 no. 6 (1999), pp. XIV-16, ISSN 1029-8479 [hep-th/99030409] [abs]

18. S Paban, S Sethi and M Stern, 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]

19. S Sethi and M Stern, D-brane bound states redux, Communications in Mathematical Physics, vol. 194 no. 3 (1998), pp. 675–705 [abs]

20. S Paban, S Sethi and M Stern, Constraints from extended supersymmetry in quantum mechanics, Nuclear Physics B, vol. 534 no. 1-2 (1998), pp. 137–154 [abs]

21. S Paban, S Sethi and M Stern, Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories, Journal of High Energy Physics, vol. 2 no. 6 (1998), pp. XXII-6, ISSN 1029-8479 [abs]

22. S Sethi and M Stern, 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]

23. S Sethi, M Stern and E Zaslow, Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories, Nuclear Physics, Section B, vol. 457 no. 3 (1995), pp. 484–510, ISSN 0550-3213 [doi] [abs]

24. M Stern, Lefschetz formulae for arithmetic varieties, Inventiones Mathematicae, vol. 115 no. 1 (1994), pp. 241–296, ISSN 0020-9910 [doi]

25. M Stern, L2-index theorems on locally symmetric spaces, Inventiones Mathematicae, vol. 96 no. 2 (1989), pp. 231–282, ISSN 0020-9910 [doi]

26. S. Paban, S. Sethi, and M. Stern, Non-commutativity and Supersymmetry, JHEP, 0203, (2002), 012 [0201259]

27. 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.

28. 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]

29. 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)

30. Mark A. Stern, L^2-Cohomology and index theory of noncompact manifolds, Proceedings of Symposia in Pure Math. 54 (1993), 559-575

31. 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)

32. W. Pardon and Mark A. Stern, L^2-d-bar-cohomology of complex projective varieties, J. Am. Math. Soc. 4 (1991), 603-621

33. Mark A. Stern, Eta invariants and hermitian locally symmetric spaces, J. Diff. Geom. 31 (1990), 771-789

34. L. Saper and Mark A. Stern, L^2 cohomology of arithmetic varieties, Annals of Mathematics 132 (1990), 1-69

35. Mark A. Stern, L^2 index theorems on locally symmetric spaces, Inventiones 96 (1989), 231-282

36. L.Saper and Mark A. Stern, L^2 cohomology of arithmetic varieties, Proc. Natl. Acad. Sci. 84 (1987), 551

See also edit

References edit

  1. ^ a b c University, College of Science Communications, Texas A&M (26 May 2005). "- College of Science, Texas A&M University". Science.tamu.edu. Retrieved 12 August 2017.{{cite web}}: CS1 maint: multiple names: authors list (link)
  2. ^ "Math 103, Spring 1999". services.math.duke.edu. Retrieved 12 August 2017.
  3. ^ "Curriculum Vitae of Mark A. Stern". fds.duke.edu. Retrieved 12 August 2017.
  4. ^ "Mark A. Stern - Department of Mathematics". math.duke.edu. Retrieved 12 August 2017.
  5. ^ "Mark A. Stern - Scholars@Duke". scholars.duke.edu. Retrieved 12 August 2017.

December 14, 2023
mark, stern, american, psychologist, american, mathematician, whose, focus, been, geometric, analysis, yang, mills, theory, hodge, theory, string, theory, stern, foremost, accomplishments, proof, joint, with, leslie, saper, zucker, conjecture, concerning, loca. For the American psychologist see E Mark Stern Mark Stern is an American mathematician whose focus has been on geometric analysis Yang Mills theory Hodge theory and string theory One of Stern s foremost accomplishments is his proof joint with Leslie D Saper of the Zucker conjecture concerning locally symmetric spaces 1 Since about 2000 Stern has focused on geometric problems arising in physics ranging from harmonic theory to string theory and supersymmetry Stern has taught at Duke University since 1985 and was promoted to professor in 1992 He has been the mathematics department chairman but has focused primarily on research and teaching with major grant support from the National Science Foundation At Duke he teaches such courses as multivariable calculus 2 Since 2010 Stern has spoken to advanced math audiences at the Newton Institute CUNY Graduate Center U C Irvine Johns Hopkins the University of Maryland and multiple academic groups 3 Contents 1 Academic background 2 Recent articles 3 See also 4 ReferencesAcademic background editPrior to Duke Stern was a member of the Institute for Advanced Study at Princeton where he received his Ph D in 1985 His thesis advisor was S T Yau Stern studied math at Texas A amp M where he received his B S degree in 1980 before moving to Princeton Stern grew up in Dallas where he graduated from St Mark s School of Texas Stern is a fellow of the American Mathematical Society and has won an Alfred P Sloan Fellowship and a Presidential Young Investigator Award 4 5 1 In 2014 Stern was inducted into the Academy of Distinguished Former Students at Texas A amp M 1 Recent articles edit1 M A Stern and B Charbonneau Asymptotic Hodge Theory of Vector Bundles Comm in Anal and Geom vol 23 no 3 2015 pp 559 6092 B Charbonneau and M Stern Asymptotic Hodge Theory of Vector Bundles Geometry and Topology vol 23 no 3 2015 pp 559 609 DG 1111 0591 0591 abs 3 A Degeratu and M Stern 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 4 I Melnikov C Quigley S Sethi and M Stern 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 5 M A Stern Geometry of stable Yang Mills connections in Advanced Lectures in Mathematics Volume 21 Advances in Geometric Analysis July 2012 ISBN 9781571462480 abs 6 C Quigley S Sethi and M Stern Novel Branches of 0 2 Theories JHEP vol 1209 no 064 2012 ISSN 1029 8479 3228 doi abs 7 M Stern 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 8 M Stern Fixed point theorems from a de Rham perspective Asian Journal of Mathematics vol 13 no 1 2009 pp 065 088 ISSN 1093 61069 M A Stern B fields from a Luddite perspective in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries QTS3 2004 10 S Paban S Sethi and M Stern I Non commutativity and supersymmetry Journal of High Energy Physics vol 6 no 3 2002 pp 183 200 abs 11 MA Stern Quantum Mechanical Mirror Symmetry D Branes and B fields eprint 2002 02091292 12 R Britto Pacumio A Maloney A Strominger and M Stern Spinning bound states of two and three black holes Journal of High Energy Physics vol 5 no 11 2001 pp XLIV 19 ISSN 1029 8479 hep th 0106099 abs 13 W Pardon and M Stern Pure hodge structure on the L2 cohomology of varieties with isolated singularities Journal fur die Reine und Angewandte Mathematik vol 533 2001 pp 55 8014 M Stern and P Yi 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 abs 15 S Sethi and M Stern 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 16 S Sethi and M Stern The structure of the D0 D4 bound state Nuclear Physics B vol 578 no 1 2 2000 pp 163 198 hep th 0002131 abs 17 S Sethi and M Stern Supersymmetry and the Yang Mills effective action at finite N Journal of High Energy Physics vol 3 no 6 1999 pp XIV 16 ISSN 1029 8479 hep th 99030409 abs 18 S Paban S Sethi and M Stern 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 19 S Sethi and M Stern D brane bound states redux Communications in Mathematical Physics vol 194 no 3 1998 pp 675 705 abs 20 S Paban S Sethi and M Stern Constraints from extended supersymmetry in quantum mechanics Nuclear Physics B vol 534 no 1 2 1998 pp 137 154 abs 21 S Paban S Sethi and M Stern Supersymmetry and higher derivative terms in the effective action of Yang Mills theories Journal of High Energy Physics vol 2 no 6 1998 pp XXII 6 ISSN 1029 8479 abs 22 S Sethi and M Stern 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 23 S Sethi M Stern and E Zaslow Monopole and dyon bound states in N 2 supersymmetric Yang Mills theories Nuclear Physics Section B vol 457 no 3 1995 pp 484 510 ISSN 0550 3213 doi abs 24 M Stern Lefschetz formulae for arithmetic varieties Inventiones Mathematicae vol 115 no 1 1994 pp 241 296 ISSN 0020 9910 doi 25 M Stern L2 index theorems on locally symmetric spaces Inventiones Mathematicae vol 96 no 2 1989 pp 231 282 ISSN 0020 9910 doi 26 S Paban S Sethi and M Stern Non commutativity and Supersymmetry JHEP 0203 2002 012 0201259 27 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 28 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 29 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 30 Mark A Stern L 2 Cohomology and index theory of noncompact manifolds Proceedings of Symposia in Pure Math 54 1993 559 57531 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 32 W Pardon and Mark A Stern L 2 d bar cohomology of complex projective varieties J Am Math Soc 4 1991 603 62133 Mark A Stern Eta invariants and hermitian locally symmetric spaces J Diff Geom 31 1990 771 78934 L Saper and Mark A Stern L 2 cohomology of arithmetic varieties Annals of Mathematics 132 1990 1 6935 Mark A Stern L 2 index theorems on locally symmetric spaces Inventiones 96 1989 231 28236 L Saper and Mark A Stern L 2 cohomology of arithmetic varieties Proc Natl Acad Sci 84 1987 551See also editNotable alumni of St Mark s School of TexasReferences edit a b c University College of Science Communications Texas A amp M 26 May 2005 College of Science Texas A amp M University Science tamu edu Retrieved 12 August 2017 a href Template Cite web html title Template Cite web cite web a CS1 maint multiple names authors list link Math 103 Spring 1999 services math duke edu Retrieved 12 August 2017 Curriculum Vitae of Mark A Stern fds duke edu Retrieved 12 August 2017 Mark A Stern Department of Mathematics math duke edu Retrieved 12 August 2017 Mark A Stern Scholars Duke scholars duke edu Retrieved 12 August 2017 Retrieved from https en wikipedia org w index php title Mark Stern amp oldid 1175418878, wikipedia, wiki, book, books, library,

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