Professor Wyshinski graduated with her first mathematics degree from Bloomsburg University in Pennsylvania in 1978.  At the University of Colorado in Boulder she earned two masters degrees, one in mathematics in 1980 and the other in applied mathematics in 1988, followed by a Ph.D. in mathematics in 1991.  Her field of research is in the analytic theory of continued fractions.  She has been teaching at Trinity College since 1991.

The hallmark of Professor Wyshinski’s teaching style is an infectious enthusiasm for all things mathematical.  She particularly loves sharing with first-year students the beauty of calculus.

• Wyshinski, Nancy J., William B. Jones, Arne Magnus, and John H. McCabe. "Asymptotic Properties of a Family of Orthogonal Polynomial Sequences." J. Comput. Appl. Math. 32, 1 (1990): 143-151.
• Wyshinski, Nancy J., William B. Jones, and W.J.Thron. "Asymptotic Behavior of Polynomials Satisfying Three-Term Recurrence Relations." J. Approx. Theory (1992): 67-93.
• Wyshinski, Nancy J., Cathleen M. Craviotto, William B. Jones, and W.J. Thron. "Computation of Special Functions by Pad'e Approximants with Orthogonal Polynomial Denominators." In Numerical Algorithms, Volume 11 (1996): 117-141.
• Wyshinski, Nancy J., Cathleen M. Craviotto, and William B. Jones. "Computation of the Binet and Gamma Functions by Stieltjes Continued Fractions." In Orthogonal Functions, Moment Theory and Continued Fractions, edited b y William B. Jones and A. Sri Ranga, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Inc., (1998), Chapter 9, 151-178.
• Wyshinski, Nancy J., and  James Mc Laughlin. "Real Numbers with Polynomial Continued Fraction Expansions." Acta Arith. 116, 1 (2005): 63-79.
• Wyshinski, Nancy J., and  James Mc Laughlin. "Convergence Theorem for Continued Fractions of the Form K_n=1⁸ a_n/1." The Journal of Computational and Applied Mathematics, Volume 179 , 1--2, (July 2005) 255-262.
• Wyshinski, Nancy J., and  James Mc Laughlin. "Ramanujan and the Regular Continued Fraction Expansion of Real Numbers ." The Mathematical Proceedings of the Cambridge Philosophical Society 138, 03 (May 2005): 367 - 381.
• Wyshinski, Nancy J., and  James Mc Laughlin. "Ramanujan and Extensions and Contractions of Continued Fractions." The Ramanujan Journal (to appear).
• Wyshinski, Nancy J., and  James Mc Laughlin. "Further Combinatorial Identities Deriving from the n-th Power of a 2x2 Matrix." Discrete Applied Mathematics (to appear).
• Wyshinski, Nancy J., Doug Bowman, and James Mc Laughlin. "A q-continued fraction." The International Journal of Number Theory. (to appear).

Honors / Awards:

• AWM Workshop – Panel Discussion on Launching a Career in Mathematics, National Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, January, 2002, San Diego, CA.
• Harold L. Dorwart Travel Grant, awarded annually since 1999.

Conferences Organized with James Mc Laughlin:

• AMS Special Session on Continued Fractions, National Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, January, 2009, Washington, DC.
• AMS Special Session on Continued Fractions, National Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, January, 2006, San Antonio, TX.
• AMS Special Session on Continued Fractions, National Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, January, 2004, Phoenix, AZ.