CURRICULUM VITA

NAME: John T. Masterson

MAILING ADDRESS:

Department of Mathematics and Computer Science
Seton Hall University
South Orange, NJ 07079

TELEPHONE NUMBER: 973-761-9000 ext. 5171

EMAIL ADDRESS: masterjo@shu.edu

TITLE OF PH.D. Dissertation: Branched Affine (or Projective) Structures on Riemann Surfaces

Ph.D. DISSERTATION ADVISOR: Professor Lesley M. Sibner

MAIN FIELD OF PH.D. STUDIES: Complex Analysis

MINOR FIELDS OF PH.D. STUDIES: Group Theory; Special Functions of Mathematical Physics

EDUCATIONAL BACKGROUND:

  • Rutgers University 9/85-10/89

M.S. (Computer Science) October 1989

  • Polytechnic Institute of New York 9/69-6/81

Ph.D. (Mathematics) June 1981
M.S. (Mathematics) June 1977
B.S. (Physics), summa cum laude, June 1974

  • State University of New York at Stony Brook 9/79-6/80

Thesis research under Dr. Irwin Kra

TEACHING EXPERIENCE:

  • Associate Professor, Seton Hall University

9/89 - present

  • Assistant Professor, Seton Hall University

9/81 - 8/89

  • Teaching Fellow/Adjunct Lecturer, Polytechnic Institute of New York

9/74 - 6/79, 9/80-6/81

  • Adjunct Professor, St. Francis College (Brooklyn)

9/80 -12/80

  • Teaching Assistant, State University of New York at Stony Brook

9/79 -6/80

 

PUBLICATIONS:

Refereed Articles

    1. K. Kuiken and J. T. Masterson, On the Monodromy Groups of Lifted Euler Equations, Glasgow Math. Jour., 25, 47-57 (1984).
    2. K. Kuiken and J. T. Masterson, Infinite Groups and Hill's Equation, Arkiv for Matematik (Institut Mittag-Leffler, The Royal Swedish Academy of Sciences), 24, 119-130 (1986).
    3. K. Kuiken and J. T. Masterson, On Global Solutions and Monodromy Groups of Differential Equations Equations Having at Least Two Singularities on the Riemann Sphere, Indagationes Mathematicae (Proceedings, Series A, of the Royal Netherlands Academy of Arts and Sciences), 90, no.3, 301-312 (1987).
    4. J. T. Masterson, Branched Affine and Projective Structures on Compact Riemann Surfaces, Indagationes Mathematicae (Proceedings, Series A, of the Royal Netherlands Academy of Arts and Scien ces), 91, no.3, 309-319 (1988).
    5. J. T. Masterson, Branched Structures Associated with Lame's Equation, Arkiv for Matematik (Institut Mittag-Leffler, The Royal Swedish Academy of Sciences), 28, 131-137 (1990).
    6. K. Kuiken and J. T. Masterson, Monodromy Groups of Differential Equations on Riemann Surfaces of Genus 1, A. M. S. Proceedings of the Conference on Combinatorial Group Theory (University of Maryland, 1988), Contemporary Mathematics Series, vol. 109, 73-89 (1990).
    7. J. T. Masterson, Uniqueness of Affine Structures on Riemann Surfaces, Tamkang Journal of Mathematics (Tamkang University, Republic of China), vol. 23, no.2, 87-94 (1992).
    8. K. Kuiken and J. T. Masterson, Branched Dihedral Structures on Riemann Surfaces, The Mathematical Heritage of Wilhelm Magnus: Groups, Geometry, and Special Functions, Contemporary Mathematics Series, A. M. S., vol. 169, 385-396 (1994).
    9. K. Kuiken and J. T. Masterson, On the Classification of Singular Automorphic Differential Equations and Flows on the Riemann Sphere, Tamkang Journal of Mathematics (Tamkang University, Republic of China), vol. 26, no.1, 11-17 (1995).

 

PRESENTATIONS:

Paper [5] listed earlier was presented at two conferences:

    1. The Eighth Annual Southeastern-Atlantic Conference of Differential Equations (University of Georgia, November 1988).
    2. The Fifth International Conference of Complex Analysis (Martin-Luther-University, Halle, Germany, December 1988).

Paper [7] listed earlier was presented at the International Congress of Mathematicians (Kyoto, Japan, August 1990.

 

CURRENT RESEARCH INTERESTS: Monodromy Analysis of Ordinary Differential Equations on Complex Analytic Surfaces (i.e., Riemann Surfaces); Triangle Groups and Associated New Classes of Functions of Mathematical Physics; Connections between Branched Projective Structure Theory on Riemann Surfaces and the Spectral Theory of Hill's Equations and Nonlinear Wave Equations; Connections between Branched Affine Structure Classification and Computational Algebraic Geometry and Groebner Bases.

 

OTHER SCHOLARLY ACTIVITIES

Translation:
V. G. Seretov, On the Theory of Extremal Quasiconformal Mappings, Math. USSR Sbornik, Vol 35 (1979), no.3 (from Russian; for the American Mathematical Society).

Refereeing and Reviewing:
For the Canadian Journal of Mathematics, the American Mathematical Society and the National Science Foundation.

Grant:
Faculty Associate for the N.S.F. Grant: "A Networked Computing Laboratory Environment for Integration of the Mathematical and Physical Sciences", I.L.I. Grant at Seton Hall University.

 

ACADEMIC HONORS

Seton Hall University Research Council Summer Stipends - 1982, 1986, 1987, 1988, 1999.

Seton Hall University Merit Awards - 1986 and 1988.

Seton Hall University Teaching Advancement Council Award - 1993.