CV of Krzysztof Galicki

CURRICULUM VITAE

Krzysztof Galicki

Born: August 10, 1958, Poland

Professor
Department of Mathematics and Statistics
University of New Mexico
Albuquerque, NM 87131

Office: 443 Humanities Building
Phone: (505) 277-2024
Fax: (505) 277-5505
Home: (505) 271-9883
E-Mail: galicki@math.unm.edu

EDUCATION

1987 - Doctor of Philosophy, Institute for Theoretical Physics, SUNY@Stony Brook, Stony Brook, NY, U.S.A.
1987 - Master of Arts, Institute for Theoretical Physics, SUNY@Stony Brook, Stony Brook, NY, U.S.A.
1982 - Master's Degree, Institute for Theoretical Physics, University of Wroclaw, Wroclaw, Poland.
1978 - Matura, Liceum im. Juliusza Slowackiego, Olesnica, Poland.

PROFESSIONAL APPOINTMENTS

1999-present Professor, Department of Mathematics and Statistics, Univeristy of New Mexico, Albuquerque, N.M., U.S.A.

1993-1999 Associate Professor, Department of Mathematics and Statistics, Univeristy of New Mexico, Albuquerque, N.M., U.S.A.

1990-1993 Assistant Professor, Department of Mathematics and Statistics, Univeristy of New Mexico, Albuquerque, NM, U.S.A.

1987-1990 G. C. Evans Instructor, Department of Mathematics, Rice Univeristy, Houston, TX, U.S.A.

1984-1987 Graduate Research Assistant, Institute for Theoretical Physics, SUNY@Stony Brook, Stony Brook, NY, U.S.A.

1982-1988 Junior Faculty Assistant, Institute for Theoretical Physics, Wroclaw Univeristy, Wroclaw, Poland.

VISITING APPOINTMENTS

2008			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany (January-July).
2007			Visiting Professor, Univeristà di Roma ``La Sapienza", Roma, Italy (June).
2006			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
2005			Visiting Scientist, Humboldt Universität, Berlin, Germany.
2005			Guest Scientist, Erwin Schrödinger Institute, Vienna, Austria.
2005			Visiting Member, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France.
2005			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
2005			Visiting Professor, Univeristà di Roma ``La Sapienza", Roma, Italy.
2005			Visiting Professor, Institut de Mathématiques Élie Cartan , Nancy, France.
2004			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
2004			Guest Scientist, Erwin Schrödinger Institute, Vienna, Austria.
2003			Visiting Professor, Univeristà di Roma ``La Sapienza", Roma, Italy.
2003			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
2002			Guest Scientist, Erwin Schrödinger Institute, Vienna, Austria.
2002			Visiting Member, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France.
2001			Visiting Scientist, Humboldt Universität, Berlin, Germany.
2001			Visiting Professor, Univeristà di Roma ``La Sapienza", Roma, Italy.
2001			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
2000			Visiting Member, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France.
1999			Guest Scientist, Erwin Schrödinger Institute, Vienna, Austria.
1999			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
1998			Visiting Professor, Univeristà di Roma ``La Sapienza", Roma, Italy.
1997			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
1997			Visiting Scientist, Vrije Universitet, Amsterdam, Holland.
1995			Visiting Scientist, Humboldt Universität, Berlin, Germany.
1995			Visiting Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
1994			Guest Scientist, Erwin Schrödinger Institute, Vienna, Austria.
1993			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
1991			Visitig Member, Institute for Advanced Study , Princeton, NJ, U.S.A.
1989			Visiting Lecturer, Odense University, Odense, Denmark.
1989			Guest Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany.
1983			Visiting Graduate Student, University of Georgia, Athens, GA, U.S.A.

NSF RESEARCH FUNDING

2006-2007 National Science Foundation, Riemannian Topology and Geometric Structuers on Manifolds, (with S. Simanca).

2005-2008 National Science Foundation, Einstein metrics, Sasakian Geometry and Kähler Orbifolds, (with C. P. Boyer).

2002-2005 National Science Foundation, Contact geometry, Fano orbifolds, and Einstein metrics, (with C. P. Boyer).

1999-2002 National Science Foundation, Contact geometry and Einstein manifolds, (with C. P. Boyer).

1995-1998 National Science Foundation, Quaternionic quotients, Einstein manifolds, and the topology of moduli spaces, (with C. P. Boyer and B. Mann).

1993-1995 National Science Foundation, Quaternionic quotients, Einstein manifolds, and mathematical physics.

1991-1993 National Science Foundation, Geometry of quaternionic manifolds and mathematical physics.

1989-1991 National Science Foundation, Complex geometry and mathematical physics, (with Y. S. Poon).

1988-1989 National Science Foundation, Complex geometry and and mathematical physics, (with Y. S. Poon and R. O. Wells).

OTHER RESEARCH FUNDING

2007 Instituto Nationale di Alta Matematica "F. Severi", Geometry of Quaternionic Quotients , (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").

2005 Instituto Nationale di Alta Matematica "F. Severi", Quaternionic Kähler Metrics as Quotients , (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").

2003 National Research Council COBASE Grant, Sasakian 5-Manifolds, Calabi-Yau Cones, and Contact Structures , (with L. Ornea; in support of Dr. Ornea's at the University of New Mexico).
2003 Instituto Nationale di Alta Matematica "F. Severi", Self-Dual Einstein Metrics with Symmetries as Quaternionic Kähler Quotients , (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").

2001 Consiglio Nationale delle Ricerche, 3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients, (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").

2000 UNM College of Arts & Sciences, Spring 2000 Senior Professor Research Semester Award.

1995 Consiglio Nationale delle Ricerche, Compact hypercomplex manifolds, (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").

1995-1996 University of New Mexico, Efroymson Award.

1994-1979 University of New Mexico, UNM Regent's Lecturer Award.

CONFERENCES AND WORKSHOPS ORGANIZED

Riemannian Topology and Geometric Structures on Manifolds, October 11-14, 2006, Albuqueqrque, NM, United States; (with E. Gasparim and S. Simanca).
Interactions in Riemannian Geometry, October 15-17, 2004, Albuqueqrque, NM, United States; special session at a regional AMS meeting, (with C. P. Boyer).
ESI program on Holonomy Groups in Differential Geometry, Fall 1999, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria; member of the Organizing Committee with D. Alekseevsky and C. LeBrun.
The Second Meeting on Quaternionic Structures in Mathematics and Physics, September 6-10, 1999, Rome, Italy; member of the Scientific Committee with D. Alekseevsky, P. Gauduchon, S. Marchiafava, and S. Salamon.
Quaternions in Riemannian and Algebraic Geometry, November 8-9, 1997, Albuqueqrque, NM, United States; special session at a regional AMS meeting, (with C. P. Boyer).
Interplays Between Geometry and Topology, June 1996, Edinburgh, Scotland; member of the Organizing Committee with T. Bailey, B. Mann, and E. Rees.
NMSU/UNM New Mexico Geometry and Topology Symposium, October 1995; (with C. P. Boyer).

SELECTED INVITED LECTURES

Seifert bundles and Orlik's conjecture on the topology of hypersurface singularities, geometry seminar at the University of Texas, Austin,Texas, U.S.A; May 3, 2007.
Obstructions in Kähler-Einstein and Sasaki-Einstein Geometry, geometry seminar at the University of Cologne, Cologne, Germany; January 12, 2007.
Wonderworld of Sasakian Manifolds, Riemannian Topology conference, University of New Mexico, Albuquerque, New Mexico, USA; October 13, 2006.
Real Monge-Ampère equations on contact manifolds, Oberseminar Globale Analysis, University of Bonn, Bonn, Germany; June 20, 2006.
Einstein metrics on spheres, Colorado State University, Fort Collins, Colorado, U.S.A.; April 24, 2006.
Einstein metrics on spheres, University of Leeds, Leeds, United Kingdom; March 29, 2006.
Geometric structures on 5-manifolds, Ohio State University colloquium, Columbus, Ohio, USA; January 26, 2006.
Geometric structures on 5-manifolds, geometry seminar at the University of Cologne, Cologne, Germany; December 18, 2005.
Geometric structures on 5-manifolds,, Humboldt Universität geometry seminar, Berlin, Germany; November 22, 2005.
Geometric structures on 5-manifolds, invited seminar at the Jagiellonian University, Kraków, Poland; November 14, 2005.
Seifert bundles and contact structures, invited lecture at the International Erwin Schrödinger Institute in the in the program Geometry of Pseudo-Riemannian Manifolds with Applications in Physics, Vienna, Austria; November 1, 2005.
Manifolds with positive Ricci curvature,invited talk at the Arthur L. Besse seminar, Ecole Polytechnique, Palaiseau, France; October 10, 2005.
Sasakian structures in mathematics and physics, invited lecture at the conference Géométrie Pseudo-Riemannienne at Supersymétrie; September 22-24, 2005, Strasbourg, France; September 23, 2005.
Geometric structures on 5-manifolds,Max-Planck-Institut Oberseminar, MPI, Bonn, Germany; September 1, 2005.
Geometric structures on 5-manifolds, invited lecture at the SFB 478 workshop Curvature and Global Shape, 31 July -- 7 August, 2005, Münster, Germany; August 3, 2005.
Geometric structures on 5-manifolds, geometry seminar at the Università di Cagliari, Caglilari, Italy; July 21, 2005.
Geometric structures on 5-manifolds, lecture given at Università di Roma, ``La Sapienza", Roma, Italy; July 14, 2005.
Geometric structures on 5-manifolds, lecture given at Università di Bari, Bari, Italy; July 6, 2005.
Sasakian Geometry I-III,invited lecture series at the Institut Élie Cartan, Université Henri Poincaré Nancy 1, Nancy, France; June 7 and June 14, 2005.
Sasakian Geometry of 5-Manifolds,invited talk at the Arthur L. Besse seminar, École Polytechnique, Palaiseau, France; June 13, 2005.
Einstein Metriken auf Exotischen Sphären, Universität Hamburg, Hamburg, Deutschland; 10. Dezember, 2004.
Einstein Metrics on Brieskorn Manifolds, invited colloquium at the University of Bochum, Bochum, Germany; November 19, 2004.
Einstein Metrics on Brieskorn Manifolds, geometry seminar at the University of Hamburg, Hamburg, Germany; November 2, 2004.
Seifert Bundles, Log Del Pezzo Surfaces, and Einstein 5-Manifolds, Oberseminar Topologie, MPI, Bonn, Germany; October 25, 2004.
Einstein Metrics on Boothby-Wang Fibrations, differential geometry seminar at the University of Bonn, Bonn, Germany; October 21, 2004.
Sasakian Geometry and Einstein Metrics, Lectures I-III, invited lectures at the Differential Geometry and Topology Workshop, Centro di Ricerca Matematica ``Ennio De Giorgi", Pisa, Italy; October 11-16, 2004.
Transverse Fano Structures and Einstein Metrics on Exotic Spheresinvited colloquium, University of Bucharest, Bucharest, Romania; May 12, 2004.
Transverse Fano Structures and Einstein Metrics on Exotic Spheresinvited colloquium, University of Göttingen, Göttingen, Germany; April 22, 2004.
Transverse Fano Structures and Einstein Metrics on Exotic Spheres, invited lecture at the International Erwin Schrödinger Institute in the in the program Geometric and analytic problems related to Cartan connections, Vienna, Austria; April 6, 2004.
Transverse Fano Structures and Einstein Metrics on Exotic Spheres, Max-Planck-Institut Oberseminar, MPI, Bonn, Germany; March 18, 2004.
Einstein Metrics on Spheres, invited lecture at the Positive scalar curvature and related topics conference at LMU München, München, Germany; February 28, 2004.
Transverse Fano Structures and Einstein Metrics on Spheres, geometry seminar at the University of Oxford, Oxford, England; February 2, 2004.
Contact Structures, Complex Singularities, and Einstein Metrics, a series of three invited plenary lectures at the XXIV Winter School in Geometry and Physics, Srni, Chech Republic; January 18-24,2004.
Transverse Fano Structures, Ricci Curvature, and Einstein Metrics, geometry seminar at the Università di Cagliari, Caglialri, Italy; July 21, 2003.
Negative Self-Dual Einstein Metrics as Quotients , lecture given at Università di Roma, ``La Sapienza", Roma, Italy; July 4, 2003.
Transverse Fano Structures, Ricci Curvature, and Einstein Metrics, geometry seminar at the Università di L'Aquila, L'Aquila, Italy; June 24, 2003.
Transverse Fano Structures, and Einstein Metrics, geometry seminar at the University of California, Riverside, California, USA; May 2, 2003.
Transverse Fano Structures and Positive Ricci Curvature, colloquium at the University of California, Riverside, California, USA; April 30, 2003.
Transverse Fano Structures, Ricci Curvature, and Einstein Metrics, colloquium at the Oregon State University, Corvalis, Oregon, USA; April 8, 2003.
Transverse Fano Structures, Ricci Curvature, and Einstein Metrics, geometry seminar at the University of Oregon, Eugene, Oregon, USA; April 8, 2003.
Transverse Fano Structures, Positive Ricci Curvature, and Einstein Metrics, invited lecture at the Erwin Schrödinger Institute, Vienna, Austria; November 22, 2002.
On the Geometry of Sasakian-Einstein 5-Manifolds, invited lecture at the Joint International AMS/UMI Meeting in Pisa, June 12-16, Pisa, Italy; June 15, 2002.
Sasakian Manifolds and Einstein Metrics in Dimension 5, invited lecture at the EDGE meeting on Special and Low-dimensional Geometries, June 3-7, Luminy, France; June 6, 2002.
Contact Structures, Einstein Metrics and Positive Ricci Curvature, invited lecture at Institut Elie Cartan, Université Henri Poincaré, Nancy, France; May 28, 2002.
Sasakian Manifolds and Einstein Metrics, Arthur Besse seminar, École Polytechnique, Palaiseau, France; May 27, 2002.
Metrics Cones, Holonomy, and Special Metrics, the SFB 288 Differentialgeometrie und Quantenphysik Kolloquium, Freie Universität Berlin, Berlin, Germany; December 6, 2001.
Constact Structures and Algebraic Geometry, invited lecture at the conference Recent trends in mathematics, November 23-25, 2001, Schloss Klink, Germany; November 24, 2001.
On Sasakian-Einstein 5-Manifolds,, Humboldt Universität geometry seminar, Berlin, Germany; November 19, 2001.
New Einstein Metrics in Dimensions Five and Seven lecture given at the Università di Roma, ``La Sapienza", Rome, Italy; September 26, 2001.
3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients, invited lecture at the LMS Durham Symposium Special Structures in Differential Geometry, July 30 - August 9, 2001, University of Durham, Durham, England; August 2, 2001.
Algebraic Geometry and Einstein Manifolds in Dimension Five, invited lecture at the Forschunginstitut Oberwolfach, Differentialgeometrie im Grossen, June 11 - 15, 2001, Oberwolfach, Germany; June 11, 2001.
Algebraic Geometry and Compact Einstein 5-Manifolds, invited lecture at the University of Bonn Differential Geometry Seminar, Bonn, Germany; May 22, 2001.
Sasakian-Einstein Geometry of 5-Manifolds, lecture at Università di Roma, ``La Sapienza", Roma, Italy; March 21, 2001.
New Einstein Metric in Dimension Five, Arthur Besse Besse Seminar at École Polytechnique, Palaiseau, France; May 27, 2000.
Killing Spinors, Einstein Manifolds, and Contact Geometry, invited lecture at the conference on Generalized Dirac Operators and Their Geometric Scattering Theory, Warsaw, 23 August - 4 September, 1999; International Stefan Banach Center of the Polish Academy of Sciences.
Sasakian-Einstein Manifolds, Killing Spinors, and Near Horizon Geometries, Humboldt Universität geometry seminar, Berlin, Germany, July 13, 1999.
Contact Strutures, Einstein Manifolds, and Near Horizon Geometries, München Universität colloquium, München, Germany, June 17, 1999.
New Families of Einstein 7-manifolds, colloquium talk at Università di Bari, Bari, Italy; June 18, 1998.
A Short Introduction to 3-Sasakian Manifolds I-IV, four lectures given at Università di Roma, ``La Sapienza", Roma, Italy; June 2-12, 1998.
Quaternionic Geometry and Einstein Manifolds, joint colloquium at the Max-Planck-Institut für Mathematik and and Leipzig Universität, Leipzig, Germany; December 9, 1997.
Hypercomplex Structures on Toral Quotients, lecture given in the Special Session of the AMS Meeting, Albuquerque, New Mexico; November 9, 1997.
Einstein Manifolds From Spheres, report on my research presented to the Fachbeirat at the Max-Planck-Institut für Mathematik in Bonn, Bonn, Germany; October 9, 1997.
Quaternionic Geometry and Einstein Manifolds, lecture at the ICMS conference 18-29 August, 1997, Edinburgh, Scotland; August 18, 1997.
Quaternionic Geometry and Einstein Manifolds, lecture given in the MPI Faltings-Harder-Manin-Zagier Oberseminar, MPI, Bonn, Germany; July 10, 1997.
Making Einstein Manifolds Out of Spheres, geometry seminar at the Jagiellonian University, Kraków, Poland; June 9, 1997.
Einstein 7-manifolds of Positive Scalar Curvature and Arbitrary Second Betti Number I-II, two lectures at the Meeting on Dirac Operators and Geometry, Warsaw, 16 February -- 1 March, 1997; International Stefan Banach Center of the Polish Academy of Sciences, Warsaw, Poland.
Einstein 7-manifolds of Positive Scalar Curvature and Arbitrary Second Betti Number, geometry seminar at Universität Bonn, Bonn, Germany; February 4, 1997.
Einstein 7-manifolds of Positive Scalar Curvature and Arbitrary Second Betti Number, colloquium talk at the University of California at Riverside, Riverside, California; November 13, 1996.
3-Sasakian Manifolds I-III, three lectures at the ICMS Workshop Interplays Between Geometry and Topology, June 3-29, 1996, Edinburgh, Scotland; June 4-27, 1996.
Hypercomplex Manifolds and 3-Sasakian Geometry, contributed paper in a special session at the AMS meeting, April 13-14, 1996, New York, New York; April 14.
On Betti Numbers of 3-Sasakian Manifolds contributed paper in a Special Session at the second joint meeting of AMS and MMS November 29 -- December 2, 1995, Guanajuato, Mexico; December 1, 1995.
Geometry and Topology of 3-Sasakian Manifolds I-II, two lectures in Humboldt Universität geometry seminar, Berlin, Germany; November 14 and 21, 1995.
Quaternionic Geometry, Supergravity, and Einstein Manifolds, colloquium at Universität Augsburg, Augsburg, Germany; November 16, 1995.
Quaternionic Geometry, 3-Sasakian Manifolds, and Supergravity, SFB 288 Differentialgeometrie und Quantenphysik Kolloquium, Freie Universität Berlin, Berlin, Germany; November 9, 1995.
3-Sasakian Manifolds, Mathematisches Forschunginstitut Oberwolfach, Differentialgeometrie im Grossen, June 12 -- 16, Oberwolfach, Germany; June 12, 1995.
Geometry and Topology of 3-Sasakian Manifolds, Arthur Besse Besse Seminar at École Polytechnique, Palaiseau, France; May 22, 1995.
3-Sasakian Manifolds, University of Adelaide, Adelaide, Australia; January 10, 1995.
Einstein Metrics and 3-Sasakian Geometry, Erwin Schrödinger Institute, Vienna, Austria; September 28, 1994.
On 3-Sasakian Manifolds, lecture presented at the Meeting on Quaternionic structures in mathematics and physics, September 5-9, 1994; SISSA, Trieste, Italy; September 9, 1994.
On Strongly Inhomogeneous Einstein Manifolds with Positive Scalar Curvature and 3-Sasakian Structure, Columbia University, New York, New York; November 17, 1993.
On Strongly Inhomogeneous Einstein Manifolds With Positive Scalar Curvature And 3-Sasakian Structure, SUNY@Stony Brook, Stony Brook, New York; November 16, 1993.
On Strongly Inhomogeneous Einstein Manifolds With Positive Scalar Curvature And 3-Sasakian Structure, Institute for Advanced Study, Princeton, New Jersey; November 15, 1993.
A Construction of Strongly Inhomogeneous Einstein Manifolds with 3-Sasakian Structure, Max-Planck-Institut Oberseminar, MPI, Bonn, Germany; July 1, 1993.
Group Actions, Quotients, and Quaternionic Manifolds, Institute for Advanced Study, Princeton, New Jersey; January 27, 1991.
Self-dual Einstein Metrics with Nonzero Scalar Curvature, University of Warwick, Warwick, England; May 14, 1990.

PUBLICATIONS

Constructions in Sasakian Geometry, with C. P. Boyer and L. Ornea; Mathematische Zeitschrift (2007); to appear.
Highly Connected Manifolds with Positive Ricci Curvature, with C. P. Boyer; Geometry and Topology 10 (2006); 2219-2235.
Einstein Metrics on Rational Homology Spheres, with C. P. Boyer; Journal of Differential Geometry 74 (2006), 535-362.
On Eta-Einstein Sasakian Geometry, with C. P. Boyer and P. Matzeu; Communications in Mathematical Physics 262 (2006), 177-208.
Sasakian geometry Einstein metrics on spheres , with C. P. Boyer, Perspectives in Riemannian Geometry, pp. 47-61, CRM Proceedings and Lecture Notes, 40, American Mathematical Society, Providence, RI, 2006.
Einstein metrics on spheres, with C. P. Boyer and J. Kollár; Annals of Mathematics (2) 162 (2005), 557-580.
Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics, with C. P. Boyer; Rendiconti del Circolo Matematico di Palermo (2) Suppl. No. 75 (2005), 57-87.
Einstein metrics on exotic spheres in dimension 7, 11, and 15, with C. P. Boyer, J. Kollár, and E. Thomas; Experimental Mathematics 14 (2005), 61-66.
Toric self-dual Einstein metrics as quotients, with C. P. Boyer, D. M. J. Calderbank, and P. Piccinni; Communications in Mathematical Physics 253 (2005), 337-370.
On Positive Sasakian Geometry , with C. P. Boyer and M. Nakamaye; Geometriae Dedicata 101 (2003), 93-102.
New Einstein Metrics on 8#(S(2)xS(3)), with C. P. Boyer; Differential Geometry and Its Applications 19 (2003), 245-251.
On Sasakian-Einstein Geometry of 5-Manifolds , with C. P. Boyer and M. Nakamaye; Mathematische Annalen 325 (2003), 485-524.
Sasakian Geometry, Homotopy Spheres, and Positive Ricci Curvature , with C. P. Boyer and M. Nakamaye; Topology 42 (2003), 981-1002.
Einstein Metrics on Rational Homolology 7-Spheres , with C. P. Boyer and M. Nakamaye; Annales l'Institute Fourier 52 (2002), 1569-1584.
Rational Homology 5-Sphere with Positive Ricci Curvature, with C. P. Boyer; Mathematical Research Letters 9 (2002), 521-528.
Sasakian-Einstein Structures on 9#(S(2)xS(3)) , with C. P. Boyer and M. Nakamaye; Transactions of the American Mathematical Society 354 (2002), 2983-2996.
3-Sasakian Manifolds, Nilpotent Orbits, and Exceptional Quotients, with C. P. Boyer and P. Piccinni; Annals of Global Analysis and Geometry 21 (2002), 85-110.
New Einstein Manifolds in Dimension Five, with C. P. Boyer; Journal of Differential Geometry 57 (2001), 443-467.
Contact Geometry and Einstein Manifolds, with C. P. Boyer, Proceedings of the American Mathematical Society 129 (2001), 2419-2430.
On Sasakian-Einstein Geometry, with C. P. Boyer, International Journal of Mathematics 11 (2000), 873-909.
A Note on Toric Contact Geometry, with C. P. Boyer, Journal of Geometry and Physics 35 (2000), 288-298.
3-Sasakian Manifolds, Encyclopaedia of Mathematics, Supplement II, pp.449-451, Kluwer Academic Publishers 2000.
3-Sasakian Manifolds, with C. P. Boyer; Surveys in Differential Geometry VI, Essays on Einstein Manifolds, pp. 123-184. A supplement to the Journal of Differential Geometry; C. LeBrun and M. Wang, Eds, International Press, Cambridge 1999.
Hypercomplex Structures from 3-Sasakian Structures, with C. P. Boyer and B.M. Mann, Journal für die reine und angewandte Mathematik 501 (1998), 115-141.
Compact 3-Sasakian 7-Manifolds with Arbitrary Second Betti Number, with C. P. Boyer, B. M. Mann, and E. G. Rees, Inventiones Mathematicae 131 (1998), 321-344.
A Note on Smooth Toral Reductions of Spheres, with C. P. Boyer and B. M. Mann, Manuscripta Mathematica 95 (1998), 149-158.
The Twistor Space of a 3-Sasakian Manifold, with C. P. Boyer, International Journal of Mathematics 8 (1997), 31-60.
Positive Einstein Manifolds with Arbitrary second Betti Number, with C. P. Boyer, B. M. Mann, and E. G. Rees, Balkan Journal of Geometry and Its Applications 1 (1996), 1-8.
Betti Numbers of 3-Sasakian manifolds, with S. Salamon, Geometriae Dedicata 63 (1996), 45-68.
On Strongly Inhomogeneous Einstein Manifolds, with C. P. Boyer and B. M. Mann, Bulletin of London Mathematical Society 28 (1996), 401-408.
Quaternionic Geometry and 3-Sasakian Manifolds, with C. P. Boyer and B. M. Mann, Proceedings of the Meeting on Quaternionic structures in mathematics and physics, SISSA, Trieste, ILAS/FM-6 (1996) 7-24; in the Electronic Library of Mathematics of the European European Mathematical Society, Conference Proceedings (1998).
Hypercomplex Structures on Stiefel Manifolds, with C. P. Boyer and B. M. Mann, Annals of Global Analysis and Geometry 14 (1996), 81-105.
The Geometry and Topology of 3-Sasakian Manifolds, with C. P. Boyer and B. M. Mann, Journal für die reine und angewandte Mathematik 455 (1994), 183-220.
Some New Examples of Compact Inhomogeneous Hypercomplex Manifolds, with C. P. Boyer and B. M. Mann, Mathematical Research Letters 1 (1994), 531-538.
New Examples of Inhomogeneous Einstein Manifolds of Positive Scalar Curvature, with C. P. Boyer and B. M. Mann, Mathematical Research Letters 1 (1994), 115-121.
Quaternionic Reduction and Einstein Manifolds, with C. P. Boyer and B. M. Mann, Cmmunications in Analysis and Geometry 1 (1993), 229-279.
3-Sasakian Manifolds, with C. P. Boyer and B. M. Mann, Proceedings of Japan Academy 69 Ser. A (1993), 335-340.
Geometry of the Scalar Couplings in N=2 Supergravity Models, Classical and Quantum Gravity 9 (1992), 27-40.
Nonzero Scalar Curvature Generalizations of the ALE Instantons, with T. Nitta, Journal of Mathematical Physics 33 (1992), 1765-1771.
Duality and Yang-Mills Fields on Quaternionic Kähler manifolds, with Yat Sun Poon, Journal of Mathematical Physics 32 (1991), 1263-1268.
Multicenter Metrics with Negative Cosmological Constant, Classical and Quantum Gravity 8 (1991), 1529-1543.
Quaternionic Reduction and Quaternionic Orbifolds, with Blaine H. Lawson, Jr., Mathematische Annalen 282 (1988), 1-21.
New Matter Couplings in N=2 Supergravity, Nuclear Physics B289 (1987), 573-588.
A Generalization of Momentum Mapping Construction for Quaternionic Kähler Manifolds, Communications in Mathematical Physics 108 (1987), 117-138.
Hyperkähler and Quaternionic Kähler Nonlinear Sigma Models, Nuclear Physics B271 (1986), 402-416.
CP(n) nonlinear sigma models with holomorphic constraints in d=2,4 dimensions, Physical Reviews D29 (1984), 1809-1818.

Last updated: February 1, 2006

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1999-present			Professor, Department of Mathematics and Statistics, Univeristy of New Mexico, Albuquerque, N.M., U.S.A.
1993-1999			Associate Professor, Department of Mathematics and Statistics, Univeristy of New Mexico, Albuquerque, N.M., U.S.A.
1990-1993			Assistant Professor, Department of Mathematics and Statistics, Univeristy of New Mexico, Albuquerque, NM, U.S.A.
1987-1990			G. C. Evans Instructor, Department of Mathematics, Rice Univeristy, Houston, TX, U.S.A.
1984-1987			Graduate Research Assistant, Institute for Theoretical Physics, SUNY@Stony Brook, Stony Brook, NY, U.S.A.
1982-1988			Junior Faculty Assistant, Institute for Theoretical Physics, Wroclaw Univeristy, Wroclaw, Poland.

2006-2007			National Science Foundation, Riemannian Topology and Geometric Structuers on Manifolds, (with S. Simanca).
2005-2008			National Science Foundation, Einstein metrics, Sasakian Geometry and Kähler Orbifolds, (with C. P. Boyer).
2002-2005			National Science Foundation, Contact geometry, Fano orbifolds, and Einstein metrics, (with C. P. Boyer).
1999-2002			National Science Foundation, Contact geometry and Einstein manifolds, (with C. P. Boyer).
1995-1998			National Science Foundation, Quaternionic quotients, Einstein manifolds, and the topology of moduli spaces, (with C. P. Boyer and B. Mann).
1993-1995			National Science Foundation, Quaternionic quotients, Einstein manifolds, and mathematical physics.
1991-1993			National Science Foundation, Geometry of quaternionic manifolds and mathematical physics.
1989-1991			National Science Foundation, Complex geometry and mathematical physics, (with Y. S. Poon).
1988-1989			National Science Foundation, Complex geometry and and mathematical physics, (with Y. S. Poon and R. O. Wells).

2007			Instituto Nationale di Alta Matematica "F. Severi", Geometry of Quaternionic Quotients , (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").
2005			Instituto Nationale di Alta Matematica "F. Severi", Quaternionic Kähler Metrics as Quotients , (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").
2003			National Research Council COBASE Grant, Sasakian 5-Manifolds, Calabi-Yau Cones, and Contact Structures , (with L. Ornea; in support of Dr. Ornea's at the University of New Mexico).
2003			Instituto Nationale di Alta Matematica "F. Severi", Self-Dual Einstein Metrics with Symmetries as Quaternionic Kähler Quotients , (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").
2001			Consiglio Nationale delle Ricerche, 3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients, (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").
2000			UNM College of Arts & Sciences, Spring 2000 Senior Professor Research Semester Award.
1995			Consiglio Nationale delle Ricerche, Compact hypercomplex manifolds, (with P. Piccinni; in support of my visit at Univeristà di Roma ``La Sapienza").
1995-1996			University of New Mexico, Efroymson Award.
1994-1979			University of New Mexico, UNM Regent's Lecturer Award.