Taylor is known for her work on the mathematics of soap bubbles and of the growth of crystals. In 1976 she, along with Almgren, published the first proof of Plateau's laws, a description of the shapes formed by soap bubble clusters that had been formulated without proof in the 19th century by Joseph Plateau.[8] Encyclopedia Britannica called the mathematical derivation "one of the major triumphs of global analysis".[9]
Taylor, Jean E. (1976), "The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces", Annals of Mathematics, Second Series, 103 (3): 489–539, doi:10.2307/1970949, JSTOR1970949, MR0428181.
Taylor, J. E. (1992), "Overview No. 98. II. Mean curvature and weighted mean curvature", Acta Metallurgica et Materialia, 40 (7): 1475–1485, doi:10.1016/0956-7151(92)90091-R.
Almgren, Fred; Taylor, Jean E.; Wang, Lihe (1993), "Curvature-driven flows: a variational approach", SIAM Journal on Control and Optimization, 31 (2): 387–438, doi:10.1137/0331020, MR1205983.
Cahn, J. W.; Taylor, J. E. (1994), "Overview No. 113. Surface motion by surface diffusion", Acta Metallurgica et Materialia, 42 (4): 1045–1053, doi:10.1016/0956-7151(94)90123-6.
Taylor, Jean E. (2003), "Some mathematical challenges in materials science", Bulletin of the American Mathematical Society, 40 (1): 69–87, doi:10.1090/s0273-0979-02-00967-9, MR1943134.
^"2018 Inaugural Class of AWM Fellows". awm-math.org/awards/awm-fellows/2018-awm-fellows. Association for Women in Mathematics. Retrieved 9 January 2021.