www.johngill.net  

John Gill: Career as a Teacher and Mathematician

Instructor in Mathematics @ Murray State University, Murray, KY [1964-1967] Assistant/Associate/Full Professor of  Mathematics @ Colorado State University at Pueblo [1971-1998]. Emeritus Professor [1999]. As a Professor . . . After getting my doctorate I encountered the really difficult part of having a career in mathematics in higher education: finding a job. The year I graduated - 1971 - the bottom fell out of the academic market. Dozens of well trained mathematicians were applying for even the most menial of positions.  Eventually, I got two offers, one from Southern Colorado State College, and the other from a branch of the University of Maine. I quickly took the Colorado offer - I wanted to stay in the state.  SCSC became the University of Southern Colorado, then Colorado State University at Pueblo. It is a fairly typical state college, with a strong focus on teaching. Over the years I was there I taught an average 12 hour per semester load. As intellectual exercise I kept up somewhat on the research in my area and did occasional research projects that I formulated, more as a hobby than a necessity.

I taught a variety of math courses at the undergraduate and graduate level [Intermediate and College Algebra , Trigonometry, Calculus, Math for Business, Math for Applied Science & Technology, Intro. to Mathematical Thought, Topics in Discrete Mathematics, Math for Computers, Topology, Advanced Calculus, Complex Variables, Graduate Real Analysis (for MSANS Program)]. Served as Department Chairman, President of Sigma Xi Club, Regional Chair of Mathematical Association of America (MAA), Board of Governors of the MAA. Given Outstanding Faculty Award and Provost's Award for Scholarship. Conducted mathematical research in Classical Complex Analysis. Member of a small international group of research mathematicians working in the Analytic Theory of Continued Fractions and Related Topics (1970-1999). Participated in a number of research meetings in the USA, France, Hungary, and Norway. Founded and edited (with John McCabe of the U. of St. Andrews) the minor specialty journal Communications in the Analytic Theory of Continued Fractions (1991-1998).

Research Publications That I Authored :

· Infinite Compositions of Mobius Transformations, Transactions of the Amer. Math. Soc., Vol. 176   · Attractive Fixed Points and Continued Fractions, Mathematica Scandinavica , Vol. 33   · Use of Attractive Fixed Points to Accelerate the Convergence of Limit Periodic Continued Fractions, Proc. Amer. Math. Soc., Vol. 47   · A Generalization of Certain Continued fractions, Bull. Calcutta Math. Soc., Vol. 69   · Modifying Factors for Sequences of Linear Fractional Transformations , Proc. Royal Norwegian Soc. of Sci. & Letters, No. 3, 1978   · Enhancing the Conv. Region of a Seq. of Bilinear Transformations , Mathematica Scandinavica, Vol. 43   · Conv. Acceleration of Cont. Frac. K(a n /1) with Lim a n = 0, Springer-Verlag Lecture Notes in Math ., Vol. 932   · Truncation Error Analysis for Cont. Frac.K(a n /1) Where. . . , Springer-Verlag Lecture Notes in Math , Vol. 932   · Converging Factors for Cont. Frac. K(a n /1), Lim a n = 0 , Proc. Amer. Math. Soc., Vol. 84   · Converging Factors for Certain Cont. Frac. K(a n /1) Where . . . , Bull. Calc. Math. Soc., Vol. 75   · A Note on Fixed Point Cont. Frac. & Aitkin's Method, Rocky Mtn. J. of Math., Vol. 14   · An Error Estimate for Cont. Frac., Proc. Amer. Math. Soc., Vol. 96   · Limit Periodic Iteration, J. of Applied Numerical Math 4 (1988) · Compositions of Analytic Func. of the Form F n (z) = F n-1 (f n (z)), Lim f n = f , J. of Computational & Applied Math.4(1988)   · Use of Repulsive Fixed Points to Analytically Continue Certain Func. , Rocky Mtn. J. of Math., Vol. 21   · Complex Dynamics of the System F n (z) = F n-1 (f n (z)), Lim f n = f , J. Comp. & Appl. Math., 32(1990)   · Inner Compositions of Anal. Func. on the Unit Disc, Intl. J. of Math. & Math. Sci., Vol 14   · Use of the Seq. F n = f n o. . . o f 1 to Compute Fixed Points of Cont. Frac., Products, & Series , J. Appl. Num. Math., 8(1991).   · Approximations of Iteration, Intl. Conf. Approximation theory, Kecskemet, Hungary   · Partial Limit Periodic Behavior in Cont. Frac., Bull. Calc. Math. Soc., Vol. 84   · A Tannery Trans. of Cont. Frac. & Other Expansions, Comm. Anal. Th. Cont. Frac., Vol. I   · Basic Dynamics of {F n }, F n = f n o. . . o f 1 , Comm. Anal. Th. Cont. Frac., Vol. I   · Outer Compositions of Hyperbolic/Loxodromic Mobius Trans., Intl. J. of Math. & Math. Sci., Vol. 15   · A Note on the Num. Dynamics of Modified Cont. Frac. and Other Expansions , Comm. Anal. Th. Cont. Frac., Vol. III   · Sequences of Linear Frac. Trans. and Reverse Cont. Frac. , Continued Fractions & Orthogonal Functions , Marcel Dekker   · Dynamics of Inner and Outer Composition Seq. of Functions {f n }, Lim f n = 0 , Intl. J. of Math. & Math. Sci. , Vol. 20   · A Note on Bounds for Derivatives of Cont. Frac., J. Comp. & Appl. Math., 72(1996).   · A Natural Continuous Interpolating Structure for Cont. Frac. , J. Comp. & Appl. Math., 105(1999).   · The Analogy Between Periodic Cont. Frac. and Geometric Series , Comm. Anal. Th. Cont. Frac., Vol. VI   · A Note on Extending Euler's Connection Between Cont. Frac. & Power Series, J. Comp. & Appl. Math., 106(1999).