Terry Napier

Professor

Department Chair

610.758.3755

tjn2@lehigh.edu

0017 - Chandler-Ullmann Hall

Education:

B.S., Mathematics, The University of Notre Dame,1982

M.S., Mathematics, The University of Chicago, 1983

Ph.D., Mathematics, The University of Chicago, 1989

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Research Areas

Geometry and Topology

Additional Interests

Complex Geometry

Research Statement

Napier works mainly on questions related to the Levi problem, or more precisely, on determining conditions on the topology, geometry, and potential theory of a (Kähler) complex manifold that imply the existence of a great many holomorphic functions.

Biography

Napier has been at Lehigh since 1992.

Publications since 2008:

1. 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.

2. 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.

3. With M. Fraboni, Strong q-convexity in uniform neighborhoods of subvarieties in coverings of complex spaces, Math. Z. 265 (2010), no. 3, 653−685.

4. With M. Ramachandran, An introduction to Riemann surfaces, Birkhäuser Boston, 2011, 560 pages (book).

5. With M. Ramachandran, The Bochner−Hartogs dichotomy for bounded geometry hyperbolic complete Kähler manifolds, Ann. Inst. Fourier (Grenoble) 66 (2016), no. 1, 239−270.

6. With M. Ramachandran, A cup product lemma for continuous plurisubharmonic functions, Journal of Topology and Analysis 10 (2018), no. 2, 263−287.

7. With M. Ramachandran, Weakly special filtered ends of complete Kähler manifolds, proper holomorphic mappings to Riemann surfaces, and the Bochner−Hartogs dichotomy, Houston J. Math. 45 (2019), no. 1, 129−173.

Teaching

Courses taught:

21–23 Calculus I–III; 31–33 Honors Calculus I–III; 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; 316 Complex Analysis; 320 Ordinary Differential Equations; 401 Real Analysis I, 402 Real Analysis II; 416 Complex Function Theory, 453 Function Theory.