Mark Stern is an American

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

whose focus has been on

geometric analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of l ...

Yang–Mills theory In mathematical physics, Yang–Mills theory is a gauge theory based on a special unitary group SU(''N''), or more generally any compact, reductive Lie algebra. Yang–Mills theory seeks to describe the behavior of elementary particles using th ...

Hodge theory In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold ''M'' using partial differential equations. The key observation is that, given a Riemannian metric on ''M'', every cohom ...

, and

string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interac ...

. One of Stern's foremost accomplishments is his proof (joint with Leslie D. Saper) of the Zucker conjecture concerning locally symmetric spaces. Since about 2000, Stern has focused on geometric problems arising in

physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...

, ranging from

harmonic A harmonic is a wave with a frequency that is a positive integer multiple of the ''fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the ''1st harmonic'', the ...

theory to string theory and

supersymmetry In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories e ...

. Stern has taught at

Duke University Duke University is a private research university in Durham, North Carolina. Founded by Methodists and Quakers in the present-day city of Trinity in 1838, the school moved to Durham in 1892. In 1924, tobacco and electric power industrialist James ...

since 1985, and was promoted to

professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who pr ...

in 1992. He has been the mathematics department

chairman The chairperson, also chairman, chairwoman or chair, is the presiding officer of an organized group such as a board, committee, or deliberative assembly. The person holding the office, who is typically elected or appointed by members of the grou ...

but has focused primarily on research and teaching, with major grant support from the

National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National I ...

. At Duke, he teaches such courses as

multivariable calculus Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving several variables, rather th ...

. Since 2010, Stern has spoken to advanced math audiences at the

Newton Institute The Isaac Newton Institute for Mathematical Sciences is an international research institute for mathematics and its many applications at the University of Cambridge. It is named after one of the university's most illustrious figures, the mathemat ...

CUNY Graduate Center The Graduate School and University Center of the City University of New York (CUNY Graduate Center) is a public research institution and post-graduate university in New York City. Serving as the principal doctorate-granting institution of the Ci ...

U.C. Irvine The University of California, Irvine (UCI or UC Irvine) is a public land-grant research university in Irvine, California. One of the ten campuses of the University of California system, UCI offers 87 undergraduate degrees and 129 graduate and pr ...

Johns Hopkins Johns Hopkins (May 19, 1795 – December 24, 1873) was an American merchant, investor, and philanthropist. Born on a plantation, he left his home to start a career at the age of 17, and settled in Baltimore, Maryland where he remained for most ...

, the

University of Maryland The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of M ...

, and multiple academic groups.

Academic background

Prior to Duke, Stern was a member of the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

Princeton Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the nine ...

, where he received his Ph.D. in 1985. His thesis advisor was S.T. Yau. Stern studied math at

Texas A&M Texas A&M University (Texas A&M, A&M, or TAMU) is a public, land-grant, research university in College Station, Texas. It was founded in 1876 and became the flagship institution of the Texas A&M University System in 1948. As of late 2021, T ...

, 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 The St. Mark's School of Texas is a nonsectarian preparatory day school for boys in grades 1–12 in Dallas, Texas, United States, accredited by the Independent Schools Association of the Southwest. History St. Mark's traces its origins to the T ...

. Stern is a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

and has won an

Alfred P. Sloan Alfred Pritchard Sloan Jr. ( ; May 23, 1875February 17, 1966) was an American business executive in the automotive industry. He was a long-time president, chairman and CEO of General Motors Corporation. Sloan, first as a senior executive and lat ...

Fellowship and a Presidential Young Investigator Award. In 2014, Stern was inducted into the Academy of Distinguished Former Students at Texas A&M.

Recent articles

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 G/1111.0591

591 __NOTOC__ Year 591 ( DXCI) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. The denomination 591 for this year has been used since the early medieval period, when the Anno Domini calendar era be ...

bs 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 G/1112.0194

194 Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 '' Ab urbe ...

oi bs 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

212 Year 212 (Roman numerals, CCXII) was a leap year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Asper and Camilius (or, less frequently, year 965 '' ...

oi bs 5. M.A. Stern, Geometry of stable Yang—Mills connections, in Advanced Lectures in Mathematics Volume 21: Advances in Geometric Analysis (July, 2012), bs 6. C Quigley, S Sethi and M Stern, Novel Branches of (0,2) Theories, JHEP, vol. 1209 no. 064 (2012), ISSN 1029-8479

228 Year 228 ( CCXXVIII) was a leap year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Modestus and Maecius (or, less frequently, year 981 '' Ab urbe con ...

oi bs 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 rXiv:0808.0667 bs 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 bs 11. MA Stern, Quantum Mechanical Mirror Symmetry, D Branes, and B fields, eprint (2002) 2091292 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 ep-th/0106099 bs 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 ep-th/0005275 bs 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 ep-th/0001189 bs 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 ep-th/0002131 bs 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 ep-th/99030409 bs 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 bs 19. S Sethi and M Stern, D-brane bound states redux, Communications in Mathematical Physics, vol. 194 no. 3 (1998), pp. 675–705 bs 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 bs 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 bs 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 bs 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 oi bs 24. M Stern, Lefschetz formulae for arithmetic varieties, Inventiones Mathematicae, vol. 115 no. 1 (1994), pp. 241–296, ISSN 0020-9910 oi 25. M Stern, L2-index theorems on locally symmetric spaces, Inventiones Mathematicae, vol. 96 no. 2 (1989), pp. 231–282, ISSN 0020-9910 oi 26. S. Paban, S. Sethi, and M. Stern, Non-commutativity and Supersymmetry, JHEP, 0203, (2002), 012 201259 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). ep-th/9808119 bs 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

References

{{DEFAULTSORT:Stern, Mark Year of birth missing (living people) Living people American mathematicians Fellows of the American Mathematical Society Duke University faculty Princeton University alumni Texas A&M University alumni St. Mark's School (Texas) alumni

Academic background

Recent articles

See also

References