박희상 Heesang Park

관심분야: 4차원 다양체

Field of research: Smooth 4-manifolds

• • 4차원 사교다양체와 기하종수가 작은 일반형의 복소곡면 만들기

  • Construction of symplectic 4-manifolds and surfaces of general type with small geometric genus

  • 복소곡면특이점의 사교위상수학적 수술

  • Symplectic surgery on complex surface singularities

연구논문 Research Papers

1. Symplectic rational blowdown on rational 4-manifolds
   Proceedings of the American Mathematical Society 152 (2024) no. 3, 1309--1318 (with Dongsoo Shin), arXiv:2111.07501

2. Lens spaces admitting minimal symplectic fillings with the second Betti number one
   Bulletin of the Korean Mathematical Society 60 (2023) no. 1, 113--122 (with Dongsoo Shin)

3. Simple embeddings of rational homology balls and antiflips

Algebraic & Geometric Topology 21 (2021) 1857--1880 (with Giancarlo Urzúa, Dongsoo Shin), arXiv:1904.04927

4. Symplectic fillings of quotient surface singularities and minimal model program

Journal of the Korean Mathematical Society 58 (2021) no. 2, 419--437 (with Hakho Choi, Dongsoo Shin)

5. Complex surfaces of general type with $K^2=3,4$ and $p_g=q=0$

Comptes Rendus Mathématique 357 (2019), no. 3, 291--295 (with Dongsoo Shin, Yoonjeong Yang)

6. Milnor fibers and symplectic fillings of quotient surface singularities

Advances in Mathematics 329 (2018), 1156-1230 (with Jongil Park, Dongsoo Shin, Giancarlo Urzúa)

7. Rational homology balls in $2$-handlebodies

Bulletin of the Korean Mathematical Society 54 (2017), no. 6, 1927--1933 (with Dongsoo Shin)

8. Simply connected complex surfaces of general type with $p_g=0$ and $K^2=1,2$

Communications of the Korean Mathematical Society 32 (2017), no. 3, 479--494 (with Jongil Park, Dongsoo Shin, Ki-Heon Yun)

9. Smoothly embedded rational homology balls

Journal of the Korean Mathematical Society 53 (2016), no. 6, 1293--1308  (with Jongil Park, Dongsoo Shin)

10. Symplectic 4-manifolds via symplectic surgery on complex surface singularities

Bulletin of the Korean Mathematical Society 52 (2015), no. 4, 1213--1223 (with András Stipsicz)

11. Smoothings of singularities and symplectic surgery

Journal of Symplectic Geometry 12 (2014), no. 3, 585--597 (with András Stipsicz)

12. A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$

Transactions of the American Mathematical Society 365 (2013), no. 11, 5713--5736 (with Jongil Park; Dongsoo Shin)

13. A simply connected numerical Campedelli surface with an involution

Mathematische Annalen 357 (2013), no. 1, 31--49 (with Dongsoo Shin, Giancarlo Urzúa)

14. Surfaces of general type with $p_g=1$ and $q=0$

Journal of the Korean Mathematical Society 50 (2013), no. 3, 493--507 (with Jongil Park, Dongsoo Shin)

15. Construction of surfaces of general type from elliptic surfaces via $\mathbb{Q}$-Gorenstein smoothing

Mathematische Zeitschrift 272 (2012), no. 3--4, 1243–-1257 (with JongHae Keum, Yongnam Lee)

16. A complex surface of general type with $p_g=0$, $K^2=3$ and $H_1=\mathbb{Z}/2\mathbb{Z}$

Bulletin of the Korean Mathematical Society 47 (2010), no. 6, 1269--1274 (with Jongil Park, Dongsoo Shin)

17. A simply connected surface of general type with $p_g=0$ and $K^2=4$

Geometry & Topology 13 (2009), no. 3, 1483--1494 (with Jongil Park, Dongsoo Shin)

18. A simply connected surface of general type with $p_g=0$ and $K^2=3$

Geometry & Topology 13 (2009), no. 2, 743--767 (with Jongil Park, Dongsoo Shin)

프리프린트 Preprint

1. Rational homology balls in Milnor fibers of cyclic quotient surface singularities
   (with Dongsoo Shin)

2. Deformations of weighted homogeneous surface singularities admitting rational homology disk smoothings
   (with Jaekwan Jeon and Dongsoo Shin)

3. Deformations of sandwiched surface singularities and the minimal model program, arXiv:2205.11165 (with Dongsoo Shin)

4. Normal complex surface singularities with rational homology disk smoothings, arXiv:1311.1929 (with Dongsoo Shin, András Stipsicz)