Carol Jacoby is an active mathematics researcher. She is currently authoring a book, entitled Classifications of Infinite Abelian Groups, with Prof. Peter Loth of Sacred Heart University. This book is targeted at mathematics graduate students and researchers. Expected publication date is 2018 or 2019.

Following are Carol Jacoby’s recent publications in peer-reviewed journals. (Note that LaTeX is used to encode the symbols in the titles.)

- C. Jacoby, Undefinability of local Warfield groups in $L_{\infty\omega}$}, in Groups and Model Theory: A Conference in Honor of Ruediger Goebel’s 70th Birthday, Contemp. Math., Vol. 576, Amer. Math. Soc., Providence, RI (2012), pp. 151-162.
- C. Jacoby and P. Loth, Abelian groups with partial decomposition bases in $L_{\infty\omega}^\delta$, Part II, in Groups and Model Theory: A Conference in Honor of Ruediger Goebel’s 70th Birthday, Contemp. Math., Vol. 576, Amer. Math. Soc., Providence, RI (2012), pp. 177-185.
- C. Jacoby and P. Loth, $\Z_p$-modules with partial decomposition bases in $L_{\infty\omega}^\delta$, Houston J. Math. Volume 40, No. 4 (2014), pp.1007-1019.
- C. Jacoby and P. Loth, Partial decomposition bases and Warfield modules, Comm. Algebra 42 (2014), 4333-4349.
- C. Jacoby and P. Loth, Partial decomposition bases and global Warfield groups, Communications in Algebra 44, 3262-3277, August 2016
- C. Jacoby and P. Loth, The classification of $\Z_p$-modules with partial decomposition bases in $L_{\infty \omega}$, Archive for Mathematical Logic 55 (2016) 939-954.
- C. Jacoby and P. Loth, The classification of infinite abelian groups with partial decomposition bases in $L_{\infty \omega}$, Rocky Mountain J. Math. 47 (2107) 463-477.
- C. Jacoby, K. Leistner, P. Loth and L. Struengmann}, Abelian groups with partial decomposition bases in $L_{\infty\omega}^\delta$, Part I, in Groups and Model Theory: A Conference in Honor of Ruediger Goebel’s l’s 70th Birthday, Contemp. Math., Vol. 576, Amer. Math. Soc., Providence, RI (2012), pp. 163-175.