Curriculum Vitae Ron Donagi ************************************************************ (Last updated 1/19/99) ************************************************************ Personal Born: Tel Aviv, Israel, March 9, 1956 USA citizen Education B.S. 1973 Tel Aviv University M.S. 1977 Harvard University Ph.D. 1977 Harvard University Employment and visiting positions 1976-77 Teaching Fellow, Harvard University 1977-79 Hedrick Assistant Professor, UCLA 1979-82 Assistant Professor, University of Utah 1981-82 Member, Institute for Advanced Study, Princeton, NJ 1982-84 Associate Professor, University of Utah (on leave) 1982-84 Sloan Fellow, visiting Harvard University 1983-86 Associate Professor, Northeastern University 1986-87 Professor, Northeastern University 1987 Member, Max Planck Institute for Math, Bonn (Sep.-Dec., 1987) 1987- Professor, University of Pennsylvania 1989-90 Research Professor, MSRI (Aug. '89 - March '90) 1990 Visiting, University of Orsay (Spring term) 1990-91 Visiting, University of California, Berkeley and Davis 1992-93 Member, MSRI (algebraic geometry year). 1995 Visiting, Henri Poincare Center, Paris (June '95) 1996 Lady Davis Fellow, Hebrew University, Jerusalem (Summer 96) 1996-97 Member, Institute for Advanced Study, Princeton, NJ 1999 Visitor, Hebrew University, Jerusalem (Winter/Spring 99) 1999 Visitor, RIMS, Kyoto (Summer 1999) Awards 1977- NSF, Sloan and NSA research grants 1981 David P. Gardner Fellowship, University of Utah (One academic term free of teaching duties) 1981-82 Member, Institute for Advanced Study, Princeton, NJ 1982-84 Alfred P. Sloan Research Fellowship 1985 Research & Scholarship Development Fund grant, Northeastern University (one quarter released time) 1989-90 Research Professor, MSRI 1996 Lady Davis Fellowship, Hebrew University. 1996-97 UPenn Research Foundation grant. Research Interests Algebraic Geometry and its interaction with integrable systems. High Energy Physics: string theory and quantum field theory. Graduate Students Stefanos Pantazis, Ph.D. 1985, Harvard University, dissertation: Prym varieties and geodesic flow on SO(n). Leon Fairbanks, Ph.D. 1988, Northeastern University, dissertation: Lax representation for Kovalevski's top. Eyal Markman, Ph.D. 1992, University of Pennsylvania, dissertation: Spectral curves and integrable systems. Tony Pantev, Ph.D. 1994, University of Pennsylvania, dissertation: Comparison of generalized theta functions. Ludmil Katzarkov, Ph.D. 1995, University of Pennsylvania, dissertation: Factorization theorems for representations of the fundamental groups of quasiprojective varieties. Current Students Amy Ksir Ilya Zharkov Editorships Proceedings of the American Mathematical Society Advances in Theoretical and Mathematical Physics Publications 1. On the geometry of Grassmannians, Duke Math. J. 44 (1977), 795- 837. 2. The group law on the intersection of two quadrics, Ann. Sculoa Norm. Sup. di Pisa, Serie IV 7 (1980), 217-240. 3. The structure of the Prym map (with R. Smith), Acta Math. 146 (1981), 25-102. 4. Families of polygonal curves (with M. Green), Appendix to 3. 5. The degree of the Prym map (with R. Smith), Geometrie algebrique, Angers 1979 (A. Beauville, ed.), Sijthoff & Nordhoff (1980), 143-155. 6. The Torelli problem for Prym varieties of dimension five (with R. Smith), Conferencias sobre Geometria Algebraica y Algebra (H. Tapia-Recillas, ed.), Dep. de Mat. CIEA del IPN (1980), 80-84. 7. Hodge classes on Abelian varieties, announcement, AMS Notices 25 no. 5 (1979). 8. The tetragonal construction, Research Announcement, AMS Bulletin 4 (1981), 181-185. 9. The unirationality of A5 , Ann. of Math. 119 (1984), 269-307. 10. Generic Torelli for projective hypersurfaces, Comp. Math. 50 (1983), 325-353. 11. Generic Torelli and variational Schottky, Topics in Transcendental Algebraic Geometry (P. Griffiths, ed.), Ann. of Math. Studies 106 (1984), 239-258. 12. A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces (with M. Green), J. Diff. Geo. 20 (1984), 459-461. 13. La variete des droites d'une hypersurface cubique de dimension 4 (with A. Beauville), C.R. Acad. Sci. Paris 301 (1985), 703-706. 14. On the failure of variational Torelli for regular elliptic surfaces with a section (with D. Cox), Math. Ann. 273 (1986), 673-683. 15. Generic Torelli for weighted hypersurfaces (with L. Tu), Math. Ann. 276 (1987), 399-413. 16. Big Schottky, Inv. Math. 89 (1987), 569-599. 17. Non-Jacobians in the Schottky loci, Ann. of Math. 126 (1987), 193-217. 18. Variational Torelli implies generic Torelli (with D. Cox & L. Tu), Inv. Math. 88 (1987), 439-446. 19. Hypersurface variations are maximal (with Jim Carlson), Inv. Math. (1987). 20. Linear series on K3-sections (with David Morrison), Journal of Differential Geometry 29 (1989), 49-64. 21. The Schottky Problem, in: Theory of Moduli, LNM 1337 (1988), 84-137. 22. Sur les fonctions theta d'ordre deux et les singularites du diviseur theta (with A. Beauville, O. Debarre and G. van der Geer), C.R. Acad. Sci. Paris 307 (1988), 481-484. 23. Every curve is a Hurwitz space (with S. Diaz and D. Harbater), Duke Math. J. 59 (1989), 737-746. 24. Hurwitz Surfaces with Nontrivial Divisors (with S. Diaz), Contemp. Math. 116 (1991), 1-8. 25. The fibers of the Prym map, in Contemp. Math. vol. 136 (1992), 55-126. (alg-geom/9206008) 26. Decomposition of spectral covers, Journees de Geometrie Algebrique d'Orsay, July 1992, Asterisque 218 (1993), 145-175. 27. Theta functions for SL(n) versus GL(n) (with L. Tu), Math. Res. Let 1 (1994), 345-357. (alg-geom/9303004) 28. Cubics, integrable systems, and Calabi-Yau threefolds, (with E. Markman), Proc. Hirzebruch Conf., Israel Math. Conf. Proc. 9(1996), 199-221. (alg-geo/9408004) 29. Spectral covers, algebraically completely integrable Hamiltonian systems, and moduli of bundles (with E. Markman), in: R. Donagi et al, Integrable Systems and Quantum Groups, LNM 1620(1996), 1-119. (alg-geo/9507017) 30. Spectral covers, in: H. Clemens and J. Kollar, eds., Current Topics in complex Algebraic Geometry, MSRI Publ. Vol. 28 (1995), 65-86, Camb. Univ. Press . (alg-geo/9505009) 31. Nilpotent cones and sheaves on K3 surfaces, (with L. Ein and R. Lazarsfeld), in: Birational Algebraic Geometry, Contemp. Math. 207. (alg-geo/9504017) 32. Supersymmetric Yang-Mills theory and Integrable systems (with E. Witten), Nucl. Phys. B460(1996), 299. (hep-th/9510101) 33. A Non-Perturbative Superpotential with E8 Symmetry (with A. Grassi and E. Witten), Mod. Phys. Lett. A11(1996), 2199 (hep-th/9607091) 34. Principal bundles on elliptic fibrations, Asian J. Math 1(1997), 214-223. (alg-geom/9702002) 35. Seiberg-Witten integrable systems, Proc. Symp. Pure Math. 62.2(1997), 3-43. (alg-geom/9705010) 36. The arithmetic-geometric mean and isogenies for curves of higher genus (with R. Livne), to appear in Annali della SNS di Pisa. (alg-geom/9712027) 37. Moduli in N=1 heterotic/F-theory duality (with G. Curio), Nucl.Phys. B518 (1998), 603-631. (hep-th/9801057) 38. ICMP lecture on Heterotic/F-theory duality, in: Proceedings, International Congress of Math. Phys, 1997. (hep-th/9802093) 39. Taniguchi Lectures on Principal Bundles on Elliptic Fibrations, in: Integrable Systems and Algebraic Geometry, Proc. Taniguchi Symposium 1997, 33-46. (hep-th/9802094) 40. The Heterotic String, the Tangent Bundle, and Derived Categories (with Paul S. Aspinwall), Adv. in Theor. and Math. Phys. 2 (1998), 1041-1074. (hep-th/9806094) 41. Non-Perturbative Vacua and Particle Physics in M-Theory (with Andre Lukas, Burt A. Ovrut, and Daniel Waldram), JHEP 9905 (1999) 018. (hep-th/9811168) 42. Holomorphic Vector Bundles and Non-Perturbative Vacua in M-Theory (with Andre Lukas, Burt A. Ovrut, and Daniel Waldram), JHEP 9906 (1999) 034. (hep-th/9901009) 43. Moduli Spaces of Fivebranes on Elliptic Calabi-Yau Threefolds (with Burt A. Ovrut, Daniel Waldram), JHEP 9911 (1999) 030. (hep-th/9904054) 44. Standard Models from Heterotic M-theory (with: Burt A. Ovrut, Tony Pantev, Daniel Waldram), hep-th/9912208 45. Standard Model Vacua in Heterotic M-Theory (with Burt A. Ovrut, Tony Pantev, Daniel Waldram), in: STRINGS'99, Potsdam, Germany. (hep-th/000110) 46. G-bundles on Abelian surfaces, hyperkahler manifolds, and stringy Hodge numbers (with Jim Bryan, Naichung Conan Leung), submitted. (math.AG/0004159) 47. The gerbe of Higgs bundles (with D. Gaitsgory), submitted. (math.AG/0005132) 48. Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds (with: Burt Ovrut, Tony Pantev, Dan Waldram), (hep-th/0008008) 49. Standard-model bundles (with: Burt Ovrut, Tony Pantev, Dan Waldram), (hep-th/0008010) 50. Spectral involutions on rational elliptic surfaces (with: Burt Ovrut, Tony Pantev, Dan Waldram), (math.AG/0008011) 51. Abelian solitons (with: Emma Previato), submitted. (nlin.SI/0009004) Books edited/coauthored: Curves, Jacobians and Abelian Varieties, Contemporary Math vol. 136, AMS, 1992. Integrable Systems and Quantum Groups (with B. Dubrovin, E. Frenkel and E. Previato), Springer LNM 1620(1996). Invited Talks (since January 1995): Mirror Symmetry Workshop, Oklahoma City, Ok AMS meeting, Hartford, Ct Hitchin Fest, Univ. of Chicago Geometry Seminar, UC Riverside Joint Meeting of AMS and Israeli Math. Union, Jerusalem. Special Year on Riemann Surfaces & Vector bundles, Institute H. Poincare, Paris Conference on the Geometric Langlands Conjecture, Luminy, France AMS Summer Research Institute in Algebraic Geometry, Santa Cruz Geometry/Topology seminar, McGill U Math Colloquium, Harvard Gauge theory seminar, Harvard Chicago/UCLA/Utah Geometry Conference, UCLA Math Colloquium, UIUC Workshop on Geometry and Physics, Warwick, UK (two talks) Geometry and Physics - lecture series at Hebrew University Math Dept (15 hours) M-Theory, F-theory, and non-perturbative superpotentials - Phys. Dept., Hebrew U. First Brazil/USA Workshop on Geometry, Topology and Physics, Campinas, Brasil String Dualities - EuroConference on Algebraic Geometry, Warwick, UK (two talks). Members Seminar, Institute for Advanced Study, Princeton, NJ. Math Colloquium, U of Arizona, Tucson, Az. AMS Regional meeting, College Park, Md Taniguchi Symposium 97 "Integrable systems and Algebraic Geometry", Kobe and Kyoto, Japan (2 invited talks). XIIth International Congress on Mathematical Physics, Brisbane, Australia. Institute for Theoretical Physics, Santa Barbara, CA. Colloquium and Geometry Seminar, UMass, Amherst, MA. Math Colloquium, Courant Institute, NYU. Regional Geometry Conference, U. Michigan, Ann Arbor, MI. Algebraic Geometry Conference, Scuola Normale Superiore, Pisa, Italy. Algebraic Geometry Conference, Cortona, Italy. Workshop on Geometry and Physics, National Tsing Hua University, Hsinchu and Tamkang Universities, Taipei, Taiwan. Math. Colloquium, Tulane Univ. Winter School on Abelian Varieties and Integrable systems, Levico Terme, Italy (main speaker, 5 lectures). High Energy Physics Seminar, U. of Texas. Algebra Seminar, Bar Ilan U. Winter School on Mirror Symmetry, Harvard U. (2 talks).