Monica Jinwoo Kang

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Research

Numerous results in string theory have proven beneficial to our modern understanding of mathematics and vice versa, and my current research is precisely focused on the intersection of these two fascinating subjects. Specifically, there have been many constructions of gravity theories using mathematical frameworks. Of particular interest to me is the study of supergravity theories in three to six dimensions from M-theory or F-theory compactified on elliptically-fibered Calabi-Yau threefolds or fourfolds, as well as the topological and geometric properties of such Calabi-Yau varieties. Moreover, infinite dimensional von Neumann algebras of various types are used to understand the local algebras in quantum field theories. This leads to my interest on how to understand holographic quantum field theories and their gravity duals by studying quantum error correction using von Neumann algebras in toy models.

Publications

Monica Jinwoo Kang and Eugene Tang, To appear

Mboyo Esole and Monica Jinwoo Kang, To appear

Elliott Gesteau and Monica Jinwoo Kang, Holographic baby universes: an observable story , To appear

Elliott Gesteau and Monica Jinwoo Kang, Thermal states are vital: State-dependent Entropies and Entanglement Wedge Reconstruction, (arXiv:2005.07189)

Elliott Gesteau and Monica Jinwoo Kang, The infinite-dimensional HaPPY code: entanglement wedge reconstruction and dynamics, (arXiv:2005.05971)

Monica Jinwoo Kang and David Kolchmeyer, Entanglement Wedge Reconstruction of Infinite-dimensional von Neumann algebras using Tensor Networks (arXiv:1910.06328)

Mboyo Esole and Monica Jinwoo Kang. 48 Crepant Paths to SU(2)xSU(3) (arXiv:1905.05174)

Monica Jinwoo Kang and David Kolchmeyer, Holographic Relative Entropy in Infinite-dimensional Hilbert Spaces (arXiv:1811.05482)

Mboyo Esole and Monica Jinwoo Kang. Characteristic numbers of elliptic fibrations with non-trivial Mordell-Weil groups (arXiv:1808.07054)

Mboyo Esole and Monica Jinwoo Kang. Characteristic numbers of crepant resolutions of Weierstrass models (arXiv:1807.08755)

Mboyo Esole and Monica Jinwoo Kang. The Geometry of the SU(2)xG2-model, JHEP 02 (2019) 091 (arXiv:1805.03214)

Mboyo Esole and Monica Jinwoo Kang. Flopping and Slicing: SO(4) and Spin(4)-models (arXiv:1802.04802)

Mboyo Esole, Monica Jinwoo Kang, and Shing-Tung Yau. Mordell-Weil Torsion, Anomalies, and Phase Transitions (arXiv:1712.02337)

Mboyo Esole, Ravi Jagadeesan, and Monica Jinwoo Kang. The Geometry of G2, SO(7), and SO(8)-models (arXiv:1709.04913)

Mboyo Esole, Patrick Jefferson, and Monica Jinwoo Kang. The Geometry of F4-Models (arXiv:1704.08251)

Mboyo Esole, Patrick Jefferson, and Monica Jinwoo Kang. Euler Characteristics of Crepant Resolutions of Weierstrass Models, Commun. Math. Phys. 371 (2019) 99 (arXiv:1703.00905)

Mboyo Esole, Monica Jinwoo Kang, and Shing-Tung Yau. A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations (arXiv:1410.0003)

Kyung-Yuen Ham, Young Cheol Jeon, Jinwoo Kang, Nam Kyun Kim, Wonjae Lee, Yang Lee, Sung Ju Ryu, and Hae-Hun Yang. IFP Rings and Near-IFP Rings J Korean Math. Soc. 45 (2008), No.3, pp. 727740.