Robert Sibner

Education:

Ph.D., New York University - 1963 (Mathematics)

M.S., New York University - 1961 (Mathematics)

B.S., University of Chicago - 1956 (Physics)

B.S., Carnegie Mellon University - 1956 (Mathematics)

Books and Publications

31. MULTIPLE INSTANTONS REPRESENTING HIGHER ORDER CHERN-PONTRYAGIN CLASSES, II, (with Y. Yang and L.M. Sibner) Comm. Math. Phys. 241/1 (2003) 46-67.
32. GENERALIZED BERNSTEIN PROBLEMS AND BORN INFELD THEORY
(with L.M. Sibner and Y. Yang), Nonlinearity 20 (2007) 1193-1213
33. HYPERBOLIC MULTI-MONOPOLES (with L.M. Sibner), Commun. Math. Phys. 315, Issue 2 (2012) 383-399. arXiv: 1210.0856.
34. BERS - FROM GRADUATE STUDENT TO QUASICONFORMAL MAPPER (with William Abikoff) Amer. Math. Soc., Lipman Bers, A Life in Mathematics ed. Keen, Kra & Rodriguez (2015) 55-73
35. REMEMBERING LESLEY M. SIBNER, AWM Association for Women in Mathematics Newsletter 45, no.2 (March-April 2015) 25-33.
36. EXISTENCE OF HYPERBOLIC CALORONS (with L.M.Sibner and Y.Yang),
Royal Society Proceedings A (2015) 1-15.
37. FERMAT THEOREMS - SIMPLE PROOFS, arXiv:2109.1022v (2021)
38. SQUARE ROOTS OF MODULAR TRANSFORMATIONS, preprint available (2021)
(Books and Publications: Article (Peer-reviewed)) 2021

27. SOLUTIONS TO YANG MILLS EQUATIONS THAT ARE NOT SELF DUAL, (with L.M. Sibner and K. Uhlenbeck) Proc. Nat. Acad. Sci. U.S.A. 86 (1989).8610 8613.
28. CLASSIFICATION OF SINGULAR SOBOLEV CONNECTIONS IN TERMS OF THEIR HOLOMONY (with L.M. Sibner) Comm. Math. Physics, 144 (1992) 337 350.
29 EXISTENCE OF HYPERBOLIC MONOPOLES WITH PRESCRIBED MASS AT INFINITY (with L.M. Sibner) Technical Report, Max Planck Institute fur Math., Bonn (1995) 1 20.
30. ABELIAN GAUGE THEORY ON RIEMANN SURFACESAND A NEW TOPOLOGICAL
INVARIANT (with Y.Yang and L.M. Sibner) Proc. Royal Soc. London, 456 (2000) 593-613.
(Books and Publications: Article (Peer-reviewed)) 2000

20. A SUB ELLIPTIC ESTIMATE FOR A CLASS OF INVARIANTLY DEFINED ELLIPTIC SYSTEMS, (with L.M. Sibner) Pac. J. Math. 92 (1981) 417 421.


21. CONTINUOUS FAMILIES OF MINIMAL SURFACES, Oberseminar zur Analysis SFB 72, Univ. of Bonn (1982) 1 25.
22. THE EXTENDED MODULAR GROUP AND SUMS OF SQUARES, Complex Analysis; Theory and Applications 3 (1984) 481 491.
23. REMOVABLE SINGULARITIES OF COUPLED YANG MILLS FIELDS IN R3, (with L.M. Sibner) Comm. Math. Phys. 93 (1984) 1 17.
24. CONTINUOUS FAMILIES OF H SURFACES, (with L.M. Sibner) SFB 72 report #605, Univ. of Bonn (1983) 1 25.
25. ON INVOLUTIVE MODULAR TRANSFORMATIONS ON SIEGEL UPPER HALF SPACE, (with K. Hashimoto) J. Number Th. 23 (1986) 102 110.
26. SINGULAR SOBOLEV CONNECTIONS WITH HOLONOMY, (with L.M. Sibner) Bull. Amer. Math. Soc. 19 (1988) 471 473.
(Books and Publications: Article (Peer-reviewed)) 1988

15. A MAXIMUM PRINCIPLE FOR COMPRESSIBLE FLOW ON A SURFACE, (with L.M. Sibner) Proc. Amer. Math. Soc. 71 (1978) 103 108.
16. NON-LINEAR HODGE THEORY: APPLICATIONS, (with L.M. Sibner) Advances in Math. 31 (1979) 1 16.
17. TRANSONIC FLOW ON AN AXIALLYSYMMETRIC TORUS, (with L.M. Sibner) J. Math. Anal. Appl. 72 (1979) 362 382.
18. SYMMETRIC SURFACES IN THE SIEGEL HALF PLANE, Symposium on Fuchsian Groups and Modular Forms, Univ. of Pittsburgh (1978) 1 24.
19. REMARKS ON THE GEOMETRY OF THE SIEGEL MODULAR GROUP, Riemann Surfaces and Related Topics: Annals of Math. Studies 97, Princeton Univ. Press (1980) 457 463.
(Books and Publications: Article (Peer-reviewed)) 1980

9. A NON LINEAR HODGE DE RHAM THEOREM, (with L.M. Sibner) Acta Math. 125 (1970) 57 73.
10. UNIFORMIZATIONS OF INFINITELY CONNECTED DOMAINS, Proc. Conf. on Riemann Surfaces (SUNY at Stony Brook 1969), Advances in the Theory of Riemann Surfaces, Annals of Math. Studies 66, Princeton Univ. Press (1971) 407 420.
11. AN ELEMENTARY PROOF OF A THEOREM CONCERNING INFINITELY CONNECTED DOMAINS, Proc. Amer. Math. Soc. 37 (1973) 459 461.
12. NON LINEAR HODGE THEORY: MANIFOLDS WITH BOUNDARY, Proc. Summer College on Global Analysis and its Applications, 1972, International Centre for Theoretical Physics, Trieste (1974) 129 137.
13. A NOTE ON THE ATIYAH BOTT FIXED POINT FORMULA, (with L.M. Sibner) Pacific J. Math. 52 (1974) 605 609.
14. A CONSTRUCTIVE PROOF OF THE RIEMANN ROCH THEOREM FOR CURVES, (with L.M. Sibner) Contributions to Analysis, Acad. Press, New York (1974) 401 406.
(Books and Publications: Article (Peer-reviewed)) 1974

1. UNIFORMIZATION OF SYMMETRIC RIEMANN SURFACES BY SCHOTTKY GROUPS, Trans. Amer. Math. Soc. 116 (1965) 79 85.
2. THE DEGREE OF APPROXIMATION OF CERTAIN FUNCTIONS OF TWO VARIABLES BY A SUM OF FUNCTIONS OF ONE VARIABLE, (with T.J. Rivlin) Amer. Math. Monthly 72 (1965) 1101 1103.
3. TWO APPLICATIONS OF QUASICONFORMAL MAPPINGS, Proc. Conf. on Quasiconformal Mappings, Automorphic Functions and Moduli, Tulane Univ. (1965)125 138.
4. HYPERBOLIC GENERATORS FOR FUCHSIAN GROUPS, Proc. Amer. Math. Soc. 17 (1966) 963 968.
5. LA CONJECTURE DE KOEBE SUR LES APPLICATIONS CONFORME SUR LES "CIRCLE DOMAINS", Seminaire D'Analyse Harmonique, Faculte des Science D'Orsay, Expose X (1967) 1 10.
6. SYMMETRIC FUCHSIAN GROUPS, Amer. J. Math. 90 (1968) 1237 1259.
7. REMARKS ON THE KOEBE KREISNORMIERUNGSPROBLEM, Comment. Math. Helv. 43 (1968) 289 295
8. DOMAINS BOUNDED BY ANALYTIC JORDAN CURVES, Bull. Amer. Math. Soc. 76 (1970) 61 63.

(Books and Publications: Article (Peer-reviewed)) 1970

Awards, Honors and Fellowships

African Mathematics Millennium Science Initiative Grant (Grants and Fellowships) 2007

USNC United States Policy and Global Affairs Committee Grant (Grants and Fellowships) 2007

CUNY Collaborative Grant (Grants and Fellowships) 1999

CNR Research Grant, University of Rome 1, Italy (Grants and Fellowships) 1987

NSF International Cooperative Research Grant (Grants and Fellowships) 1985

CNR Research Grant, University of Firenze, Italy (Grants and Fellowships) 1984

1971-72 Institute of Advanced Study, Princeton, Member

(Grants and Fellowships) 1971

1970-71 Institute of Advanced Study, Princeton, Member (Grants and Fellowships) 1970

1966-67 Fulbright Research Scholar, France


(Grants and Fellowships) 1966

1963-64 Office of Naval Research Fellow, Columbia University
(Grants and Fellowships) 1963

Conferences, Seminars and Symposiums

6/1992 Lecture Series, University of Warwick.
7/1992 Invited talk at Amer. Math/London Math Soc meeting, Cambridge, GB.
1/1993 Lecture Series on Gauge Theory, University of Grenoble.
1/1994 Invited talk, Conf. on Geom., Univ. of Kingston, Jamaica.
12/1995 Invited talk, SMM/AMS joint meeting, Guanajuato, Mexico.
2/1996 Invited talk, Univ. Cachan, France.
6/1996 Invited talk, Univ. Roma II, Rome, Italy.
12/1997 Invited Talk, Ecole Normale Superior, Paris.
2/2004 Lecture series, Mathematics Institute, Cuernevaca, Mexico.
12/2008 Invited talk, Meeting Joint Shanghai Math Soc. and Amer. Math Soc.
1/2009 Lecture Series, Hunan University, China.
1/2011 Invited talk, Mathematics and Physics, Taipei, Taiwan. (Conferences, Seminars and Symposiums: Invited Talk) 2021

6/1981 Invited talk, Conf. on Riemann Surfaces, Oaxtepec, Mexico.
10/1982 Invited talk, Hildebrandt Analysis Seminar, Univ. Bonn.
10/1982 invited talk, Imperial College, London, GB.
11/1982 Invited talk, University of Madrid, Spain.
11/1982 Invited talk, University of Boechum, Germany.
5/1984 Invited talk, Giusti Seminar, University of Florence.
5-6/1987 Lecture Series, Diff. Geometry Seminar, University of Rome.
6/1987 Invited talk, University of Salerno, Italy.
6/1987 Invited talk, University of Florence.
4/1988 Invited talk, AMS meeting, University of Maryland.
5/1988 Invited talk, Diff. Geometry Conference, Lehigh Unive (Conferences, Seminars and Symposiums: Invited Talk) 2021

rsity.
10/1988 Invited talk, University of Texas, Austin.
4/1989 Invited talk, AMS meeting, Worcester, MA.
4/1990 Invited talk, Conf. Geom. & Several Complex Var., Guadeloupe,
6/1990 Lecture Series, University of Warwick.
6/1990 Invited talk, Conference on Riemannian Geometry, Berlin.
6/1991 Invited talk, SISSA and ICTP, Trieste, Italy.
8/1991 Invited talk, AMS meeting, Orono, ME.
5/1992 Invited talk, AMS meeting, Lehigh University.
(Conferences, Seminars and Symposiums: Invited Talk) 2021

Professional Leadership

1996-99 Amer. Math Soc. representative to AMS-ASA-AWM-IMS-MAA-NCTM-SIAM Joint Committee on Women in the mathematical Sciences.
2007-10 Panel Member, Committee to evaluate PSC-CUNY Research awards. Math Liaison 2007-10 Executive Committee.
2005 Organizer Special Session on Partial Differential Equations, Joint AMS-TMS meeting, Taiwan.
1994 Organizer Special Session on Gauge Theory, AMS meeting, New York. (Professional Leadership: Committee Service) 1996

Pedagogical Achievements

PhD Thesis supervision of Chokro Cherif Dissertation: A Fixed Point Theorem Application in Image Processing 1999

1996 Taught PhD level course at Graduate Center: Functional Analysis 1996

1995 Taught PhD level course at Graduate Center: Partial Differential Equations. 1995

1993 Taught PhD level course at Graduate Center: Yang-Mills Theory 1993

1991 Taught PhD level course at Graduate Center: Introduction to Gauge Theory. 1991

Taught in special Brooklyn College/Daytop Drug Rehabilitatio "Mini-Versity" program 2/81-6/82 and 9/83-6/85. 1981

Community Activities

2016 Panel Symposium "The Circle", FiveMyles Art Gallery, Brooklyn NY
1998-2008 Condominium Board Member, New York
2009-2019 Tennis Club Board Member, Woodstock NY 2021

Other Professional Activities

1/1994 Visiting Research Professor, MSRI (Mathematical Sciences Research Institute, Berkeley, CA
2/2004 Visiting Research Professor, Mathematics Institute, Cuernevaca, Mexico
10/2005 Visiting Research Professor, Institut de Mathématiques Jussieu, Paris, France
2/2006 Visiting Research Professor, Centro di Ricerca Matematica Ennio de Giorgi, Pisa, Italy
4/2006 Visiting Research Professor, Univ. Roma II, Rome, Italy
5/2007, 9/2007,11/2007,4/2008,10/2008,5/2009,11/2009,5/2010,9/2010,5/2011,9/2011,4/2012,10/2012
Visiting Research Professor, Jussieu Math Institute, Paris, France
12/2008 Visiting Research Professor, East china Normal University, Shanghai, China
1/2009 Visiting Research Professor, Hunan University, China
1/2014-2/2014 Visiting Research Professor, FAU Florida Atlantic University, Dept. Math.
9/2014-10/2014 Visiting Research Professor, NYU-Shanghai, Institute of Mathematics
2021

1982-2/1983 Visiting Research Professor, Math Institute, University of Bonn
5/1984 Visiting Research Professor, University of Florence, Italy
6/1985 Visiting Research Professor, University of Bonn
9/1986 4/1987 Visiting Professor, University of Pennsylvania
5/1987 6/1987 Visiting Research Professor, University of Rome, Italy
5/1987 Visiting Research Professor, University of Rome
6/1990 Visiting Research Professor, University of Warwick, England
6/1990 Visiting Research Professor, University of Warwick
6/1990 Visiting Research Professor, Oxford University
9/1990 1/1991 Visiting Research Scholar, Harvard University
6/1991 Visiting Research Professor, SISSA and ICTP (International Centre Theoretical Physics), Trieste, Italy
6/1992 Visiting Professor, University of Warwick
1/1993 Visiting Research Professor, Institute Fourier, Grenoble, France
2021

2014 Visiting Research Professor NYU-Shanghai (October)
2013-14 Visiting Research Professor NYU-POLY School of Engineering, Brooklyn NY
1996 Visiting Research Professor Institute des Hautes Etudes Scientifique (IHES), Bures-sur-Yvette France
1995 Visiting Research Professor Max Planck Institute, Bonn, Germany 2021