• 'Geometric simplicity theory', in Proceedings of the 10th Asian Logic Conference, World Scientific, (2010) 227-262.

• 'Amalgamation functors and boundary properties in simple theories' (with J. Goodrick and A. Kolesnikov), Israel Journal of Math., 193 (2013) 169-207.

• 'Amalgamation functors and homology groups in model theory' (with J. Goodrick and A. Kolesnikov), in Proceedings of ICM 2014, Volume II (2014) 41-58.

• 'Homology groups of types in model theory and the computation of H₂ (p)' (with J. Goodrick and A. Kolesnikov), J. of Symbolic Logic, 78 (2013) 1086-1114.         

• 'Notions around tree property 1' (with H-J. Kim), Annals of Pure and Applied Logic, 162 (2011) 698-709.  Erratum: Kim-independence in each example of Example 0.1 satisfies all the basic axioms and type-amalgamation of Lascar types, except base monotonicity. See the paper below "Independence over arbitrary sets in NSOP1 theories."

• 'Tree indiscernibilities, revisited' (with H-J. Kim and L. Scow), Archive for Math. Logic, 53 (2014) 211-232.

• 'The Lascar group, and the strong types of hyperimaginaries', Notre Dame Journal of Formal Logic, 54 (2013) 497-507.

• 'Characterization of the second homology group of a stationary type in a stable theory' (with J. Goodrick and A. Kolesnikov), in Proceedings of the 13th Asian Logic Conference, World Scientific, (2015) 93-104.

• 'A classification of 2-chains having 1-shell boundaries in rosy theories' (with SunYoung Kim and Junguk Lee), J. of Symbolic Logic, 80 (2015) 322-340. Erratum - The fixed strong type p  should be a type of an algebraically closed tuple (over its parameter), since each vertex of simplices in p are defined to be an algebraically closed set.

• 'Type-amalgamation properties and polygroupoids in stable theories' (with J. Goodrick and A. Kolesnikov), J. of Math. Logic, 15 (2015) 45 pp.

• 'Homology groups of types in stable theories and the Hurewicz correspondence' (with J. Goodrick and A. Kolesnikov), Annals of Pure and Applied Logic, 168 (2017) 1710-1728.

• 'On the n-uniqueness of types in rosy theories', Archive for Math Logic, 55 (2016) 677-686.

• Non-commutative groupoids obtained from the failure of 3-uniqueness in stable theories (with S. Kim and J. Lee), will appear in Fundamenta Mathematicae.

• 'The Lascar groups and the first homology groups in model theory' (with J. Dobrowolski and J. Lee), Annals of Pure and Applied Logic, 168 (2017) 2129-2151.

• 'The relativized Lascar groups, type-amalgamations, and algebraicity' (with J. Dobrowolski, A. Kolesnikov, and J. Lee), submitted.

• 'Independence over arbitrary sets in NSOP1 theories' (with J. Dobrowolski and N. Ramsey), submitted.

• 'On the number of countable models of a countable NSOP1 theory without weight ¥ø,' J. of Symbolic Logic, 84 (2019) 1168-1175.

• 'More on tree properties' (with E. Casanovas) will appear in Fundamenta Mathematicae.

• 'Transitivity, lowness, and ranks in NSOP1 theories' (with A. Chernikov and N. Ramsey), in preparation. We study consequences of transitivity of Kim-independence over sets in NSOP1 theories. In particular we show that Lascar types are strong types in low NSOP1 theories with nonforking existence, extending S. Buechler's result on low simple theories.
  

Slides

Lecture Notes

• Set Theory Class Note.

        A course lecture on basic Set Theory.

Meetings on Mathematical Logic in Korea

• Logic Summer School; Set Theory, a passage to the diamond, Spapia Hotel, Daejeon, Korea, June 18-22, 2009.

• 2010 Spring Model Theory School, May 16-18, Yonsei Univ., Seoul, Korea

• 2010 Model Theory Conference, May 19-22, Yonsei Univ., Seoul, Korea

• Turing Centenary and Theory of Computation Summer School, Daejeon, Korea, June 23-26, 2012

• Classification Theory Workshop, Daejeon, Korea, August 6-9, 2014

• The 15th Asian Logic Conference, Daejeon, Korea, July 10-14, 2017

Links