2026

1. Jae-Hoon Kwon and Soo-Hong Lee. “Infinite-Level Fock Spaces, Crystal Bases, and Tensor Product of Extremal Weight Modules of Type A+∞.” Communications in Mathematical Physics 407(4), Article 80. (March 2026). DOI

2. Hansol Hong and Hyunbin Kim. “Morse Superpotentials and Blowups of Surfaces.” Journal of Geometry and Physics 228, Article 105927. (October 2026). DOI

3. Masaki Kashiwara and Myungho Kim. “Exchange Matrices of I-Boxes.” Advances in Mathematics 485, Article 110711. (February 2026). DOI

4. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park. “Reflection Functors on Quiver Hecke Algebras.” Journal of Algebra 697, 170–242. (July 2026). DOI

5. Jungsoo Kang. “On the Strong Arnold Chord Conjecture for Convex Contact Forms.” Journal of Topology 19(1), Article e70062. (January 2026). DOI

6. Jungsoo Kang. “Invariance Property of Morse Homology on Noncompact Manifolds.” Bulletin of the Korean Mathematical Society 63(3), 799–816. (May 2026). DOI

7. Wonjun Chae, Yun-Seong Ji, Kisuk Kim, Kyoungmin Kim, Byeong-Kweon Oh, and Jongheun Yoon. “Sums of Squares of Integers Except for a Fixed One.” Bulletin of the Australian Mathematical Society 113(2), 254–264. (April 2026). DOI 

8. Jangwon Ju, Daejun Kim, Kyoungmin Kim, Mingyu Kim, and Byeong-Kweon Oh. “Composition Laws of Binary Quadratic Forms and Isolations of Quadratic Forms.” Journal of Algebra 700, 413–426. (August 2026). DOI

9. Byeong-Kweon Oh and Jongheun Yoon. “Minimal Rank of Primitively nn-Universal Integral Quadratic Forms over Local Rings.” The Ramanujan Journal 71, Article 1. (August 24), 2026. DOI

2025

1. Il-Seung Jang, Jae-Hoon Kwon, and Euiyong Park, “Unipotent Quantum Coordinate Ring and Cominuscule Prefundamental Representations,” Journal of Algebra 673, 260–303 (July 2025). DOI

2. Jeong Bae and Jae-Hoon Kwon, “q-Deformed Howe Duality for Orthosymplectic Lie Superalgebras,” Letters in Mathematical Physics 115(6), (November 2025). DOI

3. Se-jin Oh and Euiyong Park, “PBW Theory for Bosonic Extensions of Quantum Groups,” International Mathematics Research Notices 2025(6) (March 2025). DOI

4. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Global Bases for Bosonic Extensions of Quantum Unipotent Coordinate Rings,” Proceedings of the London Mathematical Society 131(2) (August 2025). DOI

5. Jangwon Ju, Daejun Kim, Kyoungmin Kim, Mingyu Kim, and Byeong-Kweon Oh, “Isolations of the Sum of Two Squares from Its Proper Subforms,” Journal of Number Theory 277, 1–18 (December 2025). DOI
6. Yunhyung Cho, Myungho Kim, Yoosik Kim, and Euiyong Park, “Cluster Algebras and Monotone Lagrangian Tori,” Advances in Mathematics 480, 110481, (November 2025). DOI
7. Jungsoo Kang and Kevin Ruck, “Consecutive Collision Orbits in the Restricted Three-Body Problem above the First Critical Energy Value,” Qualitative Theory of Dynamical Systems 24(6), (December 2025). DOI

8. Woohyeok Jo, Jongil Park, and Kyungbae Park, “Algebraic Montgomery–Yang Problem and Smooth Obstructions,” Transactions of the American Mathematical Society 378(4), 2969–3003 (January 2025). DOI

9. Hansol Hong, Hyeongjun Jin, and Sangwook Lee, “Orbifold Kodaira–Spencer Maps and Closed-String Mirror Symmetry for Punctured Riemann Surfaces,” Journal of the London Mathematical Society 111(5) (May 2025). DOI

10. Sam Bardwell-Evans, Man-Wai Mandy Cheung, Hansol Hong, and Yu-Shen Lin, “Scattering Diagrams from Holomorphic Discs in Log Calabi–Yau Surfaces,” Journal of Differential Geometry 130(1) (May 2025). DOI

11. Hanwool Bae, Cheol-Hyun Cho, Dongwook Choa, and Wonbo Jeong, “Floer Theory for the Variation Operator of an Isolated Singularity,” Journal of Topology 18(4), (December 2025). DOI

2024

1. Il-Seung Jang, Jae-Hoon Kwon, and Akito Uruno, “Crystal Bases of Parabolic Verma Modules over the Quantum Orthosymplectic Superalgebras,” Journal of Algebra 655, 537–585 (October 2024). DOI

2. Myungho Kim and Sungsoon Kim, “Modified Ariki–Koike Algebra and Yokonuma–Hecke Like Relations,” Algebras and Representation Theory 27(5), 1909–1930 (October 2024). DOI

3. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Affinizations, R-Matrices and Reflection Functors,” Advances in Mathematics 443, 109598 (May 2024). DOI

4. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Localizations for Quiver Hecke Algebras III,” Mathematische Annalen 390(4), 5075–5108 (December 2024). DOI

5. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Laurent Family of Simple Modules over Quiver Hecke Algebras,” Compositio Mathematica 160(8), 1916–1940 (August 2024). DOI

6. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Monoidal Categorification and Quantum Affine Algebras II,” Inventiones Mathematicae 236(2), 837–924 (May 2024). DOI

7. Byeong-Kweon Oh and Jongheun Yoon, “Primitively 2-Universal Senary Integral Quadratic Forms,” Journal of Number Theory 264, 148–183 (November 2024). DOI

8. Lino Amorim, Cheol-Hyun Cho, Hansol Hong, and Siu-Cheong Lau, “Big Quantum Cohomology of Orbifold Spheres,” Communications in Analysis and Geometry 32(6), 1509–1592 (2024). DOI

9. Cheol-Hyun Cho, Hansol Hong, and Siu-Cheong Lau, “Gluing Localized Mirror Functors,” Journal of Differential Geometry 126(3) (March 2024). DOI

10. Joonghyun Bae, Jungsoo Kang, and Sungho Kim, “Rabinowitz Floer Homology for Prequantization Bundles and Floer Gysin Sequence,” Mathematische Annalen 390(4), 5299–5381 (December 2024). DOI

11. Yunhyung Cho, Naoki Fujita, Akihiro Higashitani, Eunjeong Lee. “Newton–Okounkov Polytopes of Type A Flag Varieties of Small Ranks Arising from Cluster Structures.” Proceedings of the Steklov Institute of Mathematics, 326(1), 352–366. (January 2025). DOI

12. Yunhyung Cho, Naoki Fujita, Eunjeong Lee. “On Combinatorics of String Polytopes in Types B and C.” European Journal of Combinatorics, 126, Article 104126. (May 2025). DOI

13. Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, Seonjeong Park. “c_1-Cohomological Rigidity for Smooth Toric Fano Varieties of Picard Number Two.” Proceedings of the Steklov Institute of Mathematics, 326(1), 339–351. (January 2025). DOI

14. Woohyeok Jo, Jongil Park, Kyungbae Park. “Algebraic Montgomery–Yang Problem and Smooth Obstructions.” Transactions of the American Mathematical Society, 378(4), 2969–3003. (April 2025). DOI

15. Yoosik Kim, Siu-Cheong Lau, and Xiao Zheng, “Disk Potential Functions for Polygon Spaces,” Journal of Symplectic Geometry 22(4), 735–815 (2024). DOI

16. Cheol-Hyun Cho, Sangwook Lee. “Kodaira–Spencer Map, Lagrangian Floer Theory and Orbifold Jacobian Algebras.” Asian Journal of Mathematics, 28(2), 243–286. (April 2024). DOI

2023

1. Il-Seung Jang, Jae-Hoon Kwon, and Euiyong Park, “Unipotent Quantum Coordinate Ring and Prefundamental Representations for Types An(1)A_n^{(1)} and Dn(1)D_n^{(1)},” International Mathematics Research Notices 2023(2), 1119–1172 (January 2023). DOI

2. Euiyong Park, “Braid Group Action on Extended Crystals,” Advances in Mathematics 429, 109193 (September 2023). DOI

3. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Localizations for Quiver Hecke Algebras II,” Proceedings of the London Mathematical Society 127(4), 1134–1184 (October 2023). DOI

4. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “PBW Theory for Quantum Affine Algebras,” Journal of the European Mathematical Society 26(7), 2679–2743 (June 2024). DOI

5. Byeong-Kweon Oh, “Isolations of Cubic Lattices from Their Proper Sublattices,” Advances in Mathematics 430, 109210 (October 2023). DOI

6. Wai Kiu Chan and Byeong-Kweon Oh, “Can We Recover an Integral Quadratic Form by Representing All Its Subforms?,” Advances in Mathematics 433, 109317 (November 2023). DOI

7. Hwajong Yoo, “The Rational Torsion Subgroup of J0(N)J_0(N),” Advances in Mathematics 426, 109111 (August 2023). DOI

8. Hwajong Yoo, “The Rational Cuspidal Divisor Class Group of X0(N)X_0(N),” Journal of Number Theory 242, 278–401 (January 2023). DOI

9. Hansol Hong, Yoosik Kim, and Siu-Cheong Lau, “Immersed Two-Spheres and SYZ with Application to Grassmannians,” Journal of Differential Geometry 125(3) (November 2023). DOI

10. Yoosik Kim, Siu-Cheong Lau, and Xiao Zheng, “T-Equivariant Disc Potential and SYZ Mirror Construction,” Advances in Mathematics 430, 109209 (October 2023). DOI

11. Yoosik Kim, “Disk Potential Functions for Quadrics,” Journal of Fixed Point Theory and Applications 25(2), Article 46 (February 2023). DOI

12. Hansol Hong, “Maurer–Cartan Deformation of Lagrangians,” Journal of Symplectic Geometry 21(1), 1–71 (2023). DOI

13. Peter Albers, Jungsoo Kang, “Rabinowitz Floer Homology of Negative Line Bundles and Floer Gysin Sequence,” Advances in Mathematics 431, 109252 (October 2023). DOI

14. Jangwon Ju, Daejun Kim, Kyoungmin Kim, Mingyu Kim, and Byeong-Kweon Oh, “Primitively Universal Quaternary Quadratic Forms,” Journal of Number Theory 242, 181–207 (January 2023). DOI

15. Hakho Choi, Jongil Park, “On Symplectic Fillings of Small Seifert 3-Manifolds,” Algebraic & Geometric Topology 23(8), 3497–3530 (November 5, 2023). DOI

16. Lino Amorim and Cheol-Hyun Cho. “Ungraded matrix factorizations as mirrors of non-orientable Lagrangians.” Acta Mathematica Sinica, 40, 26–42. (January 2024). DOI 

17. Yunhyung Cho, Yoosik Kim, Eunjeong Lee, and Kyeong-Dong Park, “Small Toric Resolutions of Toric Varieties of String Polytopes with Small Indices,” Communications in Contemporary Mathematics 25(1) (February 2023; published online February 17, 2022). DOI

2022

1. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Simply Laced Root Systems Arising from Quantum Affine Algebras,” Compositio Mathematica 158(1), 168–210 (January 2022). DOI

2. Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, “Cluster Algebra Structures on Module Categories over Quantum Affine Algebras,” Proceedings of the London Mathematical Society 124(3), 301–372 (March 2022). DOI

3. Taehyeok Heo and Jae-Hoon Kwon, “Combinatorial Howe Duality of Symplectic Type,” Journal of Algebra 600, 1–44 (June 2022). DOI

4. Wai Kiu Chan and Byeong-Kweon Oh. “On the exceptional sets of integral quadratic forms.” International Mathematics Research Notices 2022(11), 8347–8369. (June 2022). DOI

5. Hwajong Yoo and Myungjun Yu, “Bounds for 2-Selmer Ranks in Terms of Seminarrow Class Groups,” Pacific Journal of Mathematics 320(1), 193–222 (October 16, 2022). DOI

6. Kyoungmin Kim, Jeongwon Lee, and Byeong-Kweon Oh, “Minimal Universality Criterion Sets on the Representations of Binary Quadratic Forms,” Journal of Number Theory 238, 37–59 (September 2022). DOI

7. Masaki Kashiwara and Euiyong Park, “Categorical Crystals for Quantum Affine Algebras,” Journal für die reine und angewandte Mathematik (Crelle’s Journal) 2022(792), 223–267 (November 2022). DOI

8. James McKee, Byeong-Kweon Oh, and Chris Smyth. “The Cassels Heights of Cyclotomic Integers,” Mathematische Zeitschrift 302(3), 1785–1796 (November 2022). DOI

9. Kyoungmin Kim and Byeong-Kweon Oh, “A Sum of Squares Not Divisible by a Prime,” Ramanujan Journal 59(3), 653–670 (November 2022). DOI

10. Mingyu Kim and Byeong-Kweon Oh, “The Rank of New Regular Quadratic Forms,” Journal of Number Theory 241, 247–261 (December 2022). DOI

11. Jae-Hoon Kwon and Sin-Myung Lee, “Super Duality for Quantum Affine Algebras of Type A,” International Mathematics Research Notices 2022(23), 18446–18525 (December 2022). DOI

12. Hwajong Yoo. “The rational cuspidal divisor class group of \(X_0(N)\).” *Journal of Number Theory* 242, 278–401. (January 2023). DOI 

2021

1. Jae-Hoon Kwon and Jeongwoo Yu, “R-Matrix for Generalized Quantum Group of Type A,” Journal of Algebra 566, 309–341 (January 2021). DOI

2. Jae-Hoon Kwon, Masato Okado. “Higher Level q-Oscillator Representations for Uq(Cn(1))U_q(C_n^{(1)}), Uq(C(2)(n+1))U_q(C^{(2)}(n+1)), and Uq(B(1)(0,n))U_q(B^{(1)}(0,n)).” Communications in Mathematical Physics, 385, 1041–1082. (February 2021). DOI

3. Hanwool Bae, Myeonggi Kwon. “A Computation of the Ring Structure in Wrapped Floer Homology.” *Mathematische Zeitschrift*, 299, 1155–1196. (March 2021). DOI

4. Yun-Seong Ji, Myeong Jae Kim, Byeong-Kweon Oh. “Even 2-Universal Quadratic Forms of Rank 5.” Journal of the Korean Mathematical Society, 58(4), 849–871. (July 2021). DOI

5. Il-Seung Jang and Jae-Hoon Kwon, “Flagged Littlewood–Richardson Tableaux and Branching Rule for Classical Groups,” Journal of Combinatorial Theory, Series A 181, 105419 (July 2021). DOI

6. Jangwon Ju, Daejun Kim, Kyoungmin Kim, Mingyu Kim, and Byeong-Kweon Oh, “Prime-Universal Diagonal Quadratic Forms,” Bulletin of the Australian Mathematical Society 103(3), 390–404 (June 2021). DOI

7. Daejun Kim, Jeongwon Lee, and Byeong-Kweon Oh, “A Sum of Three Nonzero Triangular Numbers,” International Journal of Number Theory 17(10), 2279–2300 (November 2021). DOI

8. Young-Tak Oh and Euiyong Park, “qq-Dimensions of Highest Weight Crystals and Cyclic Sieving Phenomenon,” European Journal of Combinatorics 97, 103372 (October 2021). DOI

9. Jeehoon Park, Junyeong Park. “A Basis of Algebraic de Rham Cohomology of Complete Intersections over a Characteristic Zero Field.” Communications in Algebra, 50(4), 1372–1388. (April 2022). DOI 

10. Yunhyung Cho, Yoosik Kim, Eunjeong Lee, Kyeong-Dong Park. “Small Toric Resolutions of Toric Varieties of String Polytopes with Small Indices.” Communications in Contemporary Mathematics, 25(1), Article 2150112. DOI 

2020

1. Myungho Kim and Euiyong Park, “A Remark on Convolution Products for Quiver Hecke Algebras,” International Journal of Mathematics 31(11), 2050092 (October 2020). DOI