TERRENCE J. NAPIER
Department of Mathematics
Lehigh University
Bethlehem, Pennsylvania 18015
(610) 758-3755 tjn2@lehigh.edu
EDUCATION
THE UNIVERSITY OF CHICAGO
Ph.D., Mathematics, 1989.
M.S., Mathematics, 1983.
THE UNIVERSITY OF NOTRE DAME
B.S., Mathematics, 1982.
DISSERTATION
Convexity properties of coverings of smooth projective varieties,
written under the direction of Raghavan Narasimhan.
PROFESSONIAL
EXPERIENCE
LEHIGH UNIVERSITY
Professor, 2007–.
Associate Professor, 1998–2007.
Assistant Professor, 1992–1998.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
National Science Foundation Postdoctoral Research Fellow,
Victor Guillemin, Sponsor, 1989–1992.
C.L.E. Moore Instructor, 1989–1991.
PUBLICATIONS
IN REFEREED
JOURNALS &
CONFERENCE
PROCEEDINGS
1. Convexity properties of coverings of smooth projective varieties, Math. Ann. 286
(1990), 433–479.
2. Covering spaces of families of compact Riemann surfaces, Math. Ann. 294
(1992), 523–549.
3. With M. Ramachandran, Structure theorems for complete Kähler manifolds and
applications to Lefschetz type theorems, Geom. Funct. Anal. 5 (1995), 809–851.
4. With M. Ramachandran, The Bochner-Hartogs dichotomy for weakly 1-complete
Kähler manifolds, Ann. Inst. Fourier (Grenoble) 47, 5 (1997), 1345–1365.
5. With M. Ramachandran, The L2 ∂-method, weak Lefschetz theorems, and the
topology of Kähler manifolds, J. Amer. Math. Soc., 11, 2 (1998), 375–396.
6. With M. Ramachandran, Hyperbolic Kähler manifolds and proper holomorphic
mappings to Riemann surfaces, Geom. Funct. Anal. 11, (2001), 382406.
7. With M. Ramachandran, Generically strongly q-convex complex manifolds,
Ann. Inst. Fourier (Grenoble) 51, 6 (2001), 15531598.
8. With M. Ramachandran, Elementary construction of exhausting subsolutions of
elliptic operators, L’Enseignement Math. 50, (2004), 367390.
9. With M. Ramachandran, Thompson’s Group F is not Kähler, pp. 197201,
Proceedings of the Conference on Probabilistic and Asymptotic Aspects of
Group Theory and Topological Aspects of Group Theory (Nashville, 2004),
Contemporary Mathematics, Vol. 394, American Mathematical Society,
Providence, 2006.
PUBLICATIONS
(continued)
WORK
SUBMITTED
10. With M. Ramachandran, Filtered ends, proper holomorphic mappings of Kähler
manifolds to Riemann surfaces, and Kähler groups, Geom. Funct.
Anal. 17, (2008), no. 5, 16211654.
11. With M. Ramachandran, L2Castelnuovo-de Franchis, the cup product lemma,
and filtered ends of Kähler groups, J. of Top. and Anal. 1, (2009), no. 1,
2964.
12. With M. Fraboni, Strong q-convexity in uniform neighborhoods of subvarieties
in coverings of complex spaces, Math. Z. 265 (2010), no. 3, 653685.
13. With C. Joiţa and M. Ramachandran, Generically strongly q-convex complex
spaces, submitted.
14. With M. Ramachandran, An introduction to Riemann surfaces (book), submitted.
IN PREPARATION 15. With M. Ramachandran, The Bochner-Hartogs dichotomy for bounded geometry
hyperbolic complete Kähler manifolds.
RESEARCH
GRANTS
COMPETITIVELY AWARDED
LEHIGH UNIVERSITY
NSF Geometric Analysis Program, Principal Investigator, 1994–1996.
NSF Geometric Analysis Program, Principal Investigator, 1999–2003.
NSF Geometric Analysis Program, Principal Investigator, 2003–2007.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
National Science Foundation Postdoctoral Research Fellowship, 1989–1992.
NONCOMPETITIVELY AWARDED
LEHIGH UNIVERSITY
Reidler Foundation Grants, 1993, 1994, 1997, 1998.
LECTURES
INVITED
Convexity properties of coverings of smooth projective varieties, AMS meeting,
Special Session on Several Complex Variables, Muncie, Indiana, October,
1989 (see Abstracts of Papers Presented to the AMS).
Line bundle convexity of covering spaces, Analysis Seminar, University of
Kentucky, February, 1990.
Holomorphic convexity of covering spaces, Analysis Seminar, University of
Wisconsin, Madison, March, 1990.
Covering spaces of complex manifolds, Analysis Seminar, University of Kentucky,
March, 1991.
Finite volume ends of Kähler manifolds of negative Ricci curvature, Algebraic
Geometry Seminar, The University of Chicago, November, 1996.
Weak Lefschetz Theorems, Colloquium, The University of Chicago, November,
1996.
Weak Lefschetz Theorems, Colloquium, The University of Western Ontario, April,
1998.
The Bochner-Hartogs Dichotomy, Ontario Analytic Geometry Seminar, Fields
Institute, Toronto, April, 1998.
Weak Lefschetz Theorems, Fundamental Groups in Geometry, Oberwolfach, May,
1998.
LECTURES
(continued)
Existence of Riemann Surface Quotients, AMS meeting, Special Session on
Complex Hyperbolic Geometry and Conformal Geometry of the Heisenberg
Group, Washington, DC, January, 2000 (see Abstracts of Papers
Presented to the AMS 21, No. 1, (2000), p. 78).
Generically strongly q-convex complex manifolds, PDE and Complex Analysis
Seminar, Rutgers University (New Brunswick), November 30, 2001.
Convexity properties of coverings of projective varieties, Colloquium,
University of Miami, November 12, 2002.
Generically q-convex complex manifolds, Geometry Seminar,
University of Miami, November 13, 2002.
Some q-convexity properties of covering spaces, Conference on Asymptotic and
Effective Results in Complex Geometry, Johns Hopkins University,
March 21, 2004.
Relative ends and proper holomorphic mappings to Riemann surfaces, Hayama
Symposium on Several Complex Variables, Shonan Village Center, Japan,
December 20, 2004.
Filtered ends and proper holomorphic mappings to Riemann surfaces, International
Conference on Several Complex Variables, University of Science
and Technology, Hefei, China, June 25,2005.
Filtered ends and proper holomorphic mappings to Riemann surfaces,
International Conference on Complex Analysis and Related Topics,
Cluj-Napoca, Romania, August 16, 2005.
Filtered ends, proper holomorphic mappings of Kähler manifolds to Riemann
surfaces, and Kähler groups, Algebraic Geometry Seminar, The University of
Chicago, May, 2006.
Kähler manifolds with bounded geometry, Workshop on the geometry of
holomorphic curves in complex algebraic varieties, Centre de recherches
mathématiques, Montréal, May 4, 2007.
The Bochner-Hartogs dichotomy for hyperbolic Kähler manifolds with bounded
geometry, Workshop on Complex Geometry, Korea Institute for Advanced
Study, Seoul, October 19, 2007.
OTHER
Covering spaces of families of curves, Summer Research Institute on Algebraic
Geometry, Santa Cruz, California, July, 1995.
Weakly 1-complete Kähler manifolds with large automorphism group, AMS
meeting, Special Session on Harmonic Maps, Symmetric Spaces, and Related
Issues, Boston, Massachusetts, October, 1995 (see AMS Abstracts).
TEACHING
MATHEMATICS COURSES TAUGHT
21–23 Calculus I–III; 31, 32 Honors Calculus I, II; 41, 44 BMSS Calculus I, II;
75 Calculus I–Part A, 76 Calculus I–Part B;
5 Introduction to Mathematical Thought;
12 Basic Statistics;
208 Complex Variables;
219/301 Principles of Analysis I, 220 Principles of Analysis II;
320 Ordinary Differential Equations;
401 Real Analysis I, 402 Real Analysis II;
416 Complex Function Theory, 453 Function Theory.
ADVISING
Doctoral Dissertation Supervised 2000–2002
Michael Fraboni, Some q-convexity properties of coverings of complex manifolds,
Ph.D. May 2002, Asst. Prof. of Math. at Moravian College since Fall 2002.
Undergraduate Nonmajor Advisor, 2 students, Fall, 2010; 2 students, Fall, 2009;
7 students, Spring 2004–2005; 17 Students, 2001–2003; 20 Students, 1997–1998.
Undergraduate Mathematics Major Advisor,
Approximately 25 students per year shared with
Garth Isaak (1998—Spring 2002) or Clifford Queen, Susan Szczepanski, and
Ramamirthan Venkataraman (Fall 2002–Spring 2005).
SERVICE
COLLEGE
Undergraduate Nonmajor Advisor, 1997–1998, 2001–2003, 2004–.
CAS Dean’s Fellowship Committee, 2005–.
CAS Distinguished Dissertation Award Committee, 2005–.
DEPARTMENT
Ph.D. Analysis Qualifying Examination, 1997, 1999, 2001, 2002, 2003, 2005,
2006, 2007, 2009.
Graduate Comprehensive Examination, 1998, 2002, 2003.
Department Chair Succession Committee, 1996–1997.
Calculus Committee Chair 1998–2001.
Chair's Advisory Committee, 1998–2000, 20022003.
Hiring Committee, 20022003.
Undergraduate Committee, 20022005, chair Fall 2004–Spring 2005.
Helped prepare the Mathematics Department’s submission to the CAS
Undergraduate Program Review, 2005
Undergraduate Mathematics Club, 1992–2005.
Undergraduate Mathematics Major Advisor 1998–2005.
Dissertation Committees
Elizabeth Kuehner-Mauch, Spring 1999.
Tracy Bowers, Spring 2003.
Christopher Godbout, Spring 2010
Pitcher Chair Search Committee, 2003.
Analysis Search Committee, 2003–2005, 2006–2007.
Mathematics Graduate Coordinator, Fall 2005–.
Analysis Search Committee Chair, 2007–2008 , 2008–2009.
Mathematics Workload Document Committee, 2010–.
EXTERNAL
Referee for Inventiones Mathematicae (1), Mathematische
Annalen (6), Proceedings of the AMS (4), Annales de
l’Institut Fourier (3), Geometriae Dedicata (1), Science in China (1).
Research Proposal Reviewer, NSF Geometric Analysis Program (eight proposals).
Research Evaluator for a tenure case.
Coorganizer (with M. Ramachandran), Special session on Complex geometry,
AMS Sectional Meeting 943, SUNY at Buffalo, April 1999.
Coorganizer (with M. Ramachandran and D. Toledo), Special Session on Complex
geometry, Kähler groups, and related topics, AMS Fall Western Sectional
Meeting, the Univ. of Utah, Oct. 7–8, 2006.