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.

Dr. Jacoby enjoys sharing her love of mathematics with a broad audience. She is the host of the podcast The Art of Mathematics, appearing monthly wherever you get your podcasts.

Conversations, puzzles, book reviews, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.

Join the conversation. Leave a comment. Suggest a puzzle, a topic or a person to interview. Leave a voice message at https://anchor.fm/the-art-of-mathematics  or email her at cjacoby@jacobyconsulting.com.

Following are Carol Jacoby’s recent publications in peer-reviewed journals or conferences. (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 (2017) 463-477.
• C. Jacoby and P. Loth, $L_{\omega_\alpha\omega}$-equivalence of abelian groups with partial decomposition bases, AMS Spring Eastern Virtual Sectional Meeting, April 1, 2023
• 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.