Carol Jacoby is an active mathematics researcher. She recently completed a book for DeGruyter, entitled Abelian Groups: Classifications and Structures, with Prof. Peter Loth of Sacred Heart University. This book is targeted at mathematics graduate students and researchers. Expected publication date is mid-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.