output
19972026
most citedDeep Generative Design: Integration of Topology Optimization and Generative Models

449 citations

Showing math.AGShow all

6 papers · 1 filter

math.AG2026

Asymptotic distribution of the Betti numbers of

Jinwon Choi, Young-Hoon Kiem

Asymptotic normality is frequently observed in large combinatorial structures, rigorously established for many quantities such as cycles or inversions in random permutations, the n…

math.AG2019★ 5 cited

Sheaves of maximal intersection and multiplicities of stable log maps

Jinwon Choi, Michel van Garrel, Sheldon Katz +1

A great number of theoretical results are known about log Gromov-Witten invariants, but few calculations are worked out. In this paper we restrict to surfaces and to genus 0 stable…

math.AG2018★ 4 cited

Log BPS numbers of log Calabi-Yau surfaces

Jinwon Choi, Michel van Garrel, Sheldon Katz +1

Let be a log Calabi-Yau surface pair with a smooth divisor. We define new conjecturally integer-valued counts of -curves in . These log BPS numbers…

math.AG2018★ 1 cited

Local BPS Invariants: Enumerative Aspects and Wall-Crossing

Jinwon Choi, Michel van Garrel, Sheldon Katz +1

We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler characteristic of the moduli spaces of stable one-dimensional sheaves on the sur…

math.AG2012

Moduli Spaces of -stable Pairs and Wall-Crossing on

Jinwon Choi, Kiryong Chung

We study the wall-crossing of the moduli spaces of -stable pairs with linear Hilbert polynomial on the projective plane as we alter the…

math.AG2011★ 3 cited

A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps

Jinwon Choi, Young-Hoon Kiem

The Landau-Ginzburg/Calabi-Yau correspondence claims that the Gromov-Witten invariant of the quintic Calabi-Yau 3-fold should be related to the Fan-Jarvis-Ruan-Witten invariant of…