Possible Behaviours for the Mitchell Ordering. - James Cummings 001 (Ann. Pure Appl. Logic, 1993)

Strong Ultrapowers and Long Core Models. - James Cummings 001 (J. Symb. Log., 1993)

Coherent Sequences versus Radin Sequences. - James Cummings 001 (Ann. Pure Appl. Log., 1994)

Possible Behaviours for the Mitchell Ordering II. - James Cummings 001 (J. Symb. Log., 1994)

Cardinal Invariants Above the Continuum. - James Cummings 001; Saharon Shelah (Ann. Pure Appl. Log., 1995)

A Model in Which Every Boolean Algebra Has Many Subalgebras. - James Cummings 001; Saharon Shelah (J. Symb. Log., 1995)

A Global Version of a Theorem of Ben-David and Magidor. - Arthur W. Apter; James Cummings 001 (Ann. Pure Appl. Log., 2000)

Identity Crises, Strong Compactness. - Arthur W. Apter; James Cummings 001 (J. Symb. Log., 2000)

Identity crises and strong compactness. - Arthur W. Apter; James Cummings 001 (Arch. Math. Log., 2001)

Squares, scales and stationary Reflection. - James Cummings 001; Matthew Foreman 001; Menachem Magidor (J. Math. Log., 2001)

Blowing up The Power Set of The Least Measurable. - Arthur W. Apter; James Cummings 001 (J. Symb. Log., 2002)

The non-compactness of square. - James Cummings 001; Matthew Foreman 001; Menachem Magidor (J. Symb. Log., 2003)

Canonical structure in the universe of set theory: part one. - James Cummings 001; Matthew Foreman 001; Menachem Magidor (Ann. Pure Appl. Log., 2004)

Diamond and antichains. - James Cummings 001; Ernest Schimmerling (Arch. Math. Log., 2005)

Notes on Singular Cardinal Combinatorics. - James Cummings 001 (Notre Dame J. Formal Log., 2005)

Canonical structure in the universe of set theory: part two. - James Cummings 001; Matthew Foreman 001; Menachem Magidor (Ann. Pure Appl. Log., 2006)

The hyper-weak distributive law and a related game in Boolean algebras. - James Cummings 001; Natasha Dobrinen (Ann. Pure Appl. Log., 2007)

Some results in polychromatic Ramsey theory. - Uri Abraham; James Cummings 001; Clifford D. Smyth (J. Symb. Log., 2007)

An L-like model containing very large cardinals. - Arthur W. Apter; James Cummings 001 (Arch. Math. Log., 2008)

on the singular cardinals. - James Cummings 001; Sy-David Friedman (J. Symb. Log., 2008)

Organic and tight. - James Cummings 001; Matthew Foreman 001; Ernest Schimmerling (Ann. Pure Appl. Log., 2009)

More on full reflection below Àw. - James Cummings 001; Dorshka Wylie (Arch. Math. Log., 2010)

Diagonal Prikry extensions. - James Cummings 001; Matthew Foreman 001 (J. Symb. Log., 2010)

Monochromatic triangles in three-coloured graphs. - James Cummings 001; Daniel Král'; Florian Pfender; Konrad Sperfeld; Andrew Treglown; Michael Young (J. Comb. Theory B, 2013)

Itay Neeman. Aronszajn trees and failure of the Singular Cardinal Hypothesis. Journal of Mathematical Logic, vol. 9, no. 1 (2009), pp. 139-157. - Dima Sinapova. The tree property at אּω+1. Journal of Symbolic Logic, vol. 77, no. 1 (2012), pp. 279-290. - Dima Sinapova. The tree property and the failure of SCH at uncountable cofinality. Archive for Mathematical Logic, vol. 51, no. 5-6 (2012), pp. 553-562. - Dima Sinapova. The tree property and the failure of the Singular Cardinal Hypothesis at אּω2. Journal of Symbolic Logic, vol. 77, no. 3 (2012), pp. 934-946. - Spencer Unger. Aronszajn trees and the successors of a singular cardinal. Archive for Mathematical Logic, vol. 52, no. 5-6 (2013), pp. 483-496. - Itay Neeman. The tree property up to אּω+1. Journal of Symbolic Logic. vol. 79, no. 2 (2014), pp. 429-459. - James Cummings 001 (Bull. Symb. Log., 2015)

Collapsing the cardinals of HOD. - James Cummings 001; Sy-David Friedman; Mohammad Golshani (J. Math. Log., 2015)

Small Universal families of graphs on ℵω+ 1. - James Cummings 001; Mirna Dzamonja; Charles Morgan (J. Symb. Log., 2016)

Aronszajn and Kurepa trees. - James Cummings 001 (Arch. Math. Log., 2018)

Alexander Razborov, Flag algebras. Journal of Symbolic Logic, vol. 72 (2007), no. 4, pp. 1239-1282. - James Cummings 001 (Bull. Symb. Log., 2018)

The eightfold Way. - James Cummings 001; Sy-David Friedman; Menachem Magidor; Assaf Rinot (J. Symb. Log., 2018)

Normal Measures on a Tall cardinal. - Arthur W. Apter; James Cummings 001 (J. Symb. Log., 2019)

The Tree Property at the two Immediate Successors of a singular cardinal. - James Cummings 001; Yair Hayut; Menachem Magidor; Itay Neeman; Dima Sinapova; Spencer Unger (J. Symb. Log., 2021)