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Jaewoo Jung
I am currently a postdoctoral researcher in Global Basic Research Laboratory - Algebra and Geometry of Spaces of Tensors, and Applications (PI: Dr. Kangjin Han).
I received a Ph.D. in mathematics in 2022 from the School of Mathematics at Georgia Tech. My Ph.D. advisor was Dr. Greg Blekherman.
I received a B.Sc. in mathematics in 2014 (and certified master's degree in 2016) from the department of mathematics at Korea University. My (master's and) B.S. advisor was Dr. Euisung Park.
Here is my CV.
Here is my Ph.D. thesis.
Research Interest
Complex and real algebraic geometry
Quadratic forms on varieties
Sums of squares on varieties
Graph ideals and their syzygies
Papers and preprints
To see full article lists on arXiv, please follow this link.
A Fröberg type theorem for higher secant complexes with J. Choe, arXiv:2502.20987
On the rank index of projective curves of almost minimal degree with H. Moon, E. Park, arXiv:2411.17494, submitted for publication.
An Eisenbud-Goto type inequality for Stanley-Reisner ideals and simplicial complexes with J. Kim, M. Kim, Y. Kim, arXiv:2308.03338, submitted for publication.
Sums of squares, Hankel index, and almost real rank with G. Blekherman, J. Chen, https://doi.org/10.1017/fms.2024.45, Forum of Mathematics Sigma (2024).
Bounds on Regularity of Quadratic Monomial Ideals with G. Blekherman, https://doi.org/10.1016/j.jcta.2020.105296, Journal of Combinatorial Theory, Series A (2020).
Ongoing projects
Quadratic persistences and Pythagoras numbers of projective curves.
Quadratic persistences of monomial ideals.
Posters
Sums of squares, Hankel index, and almost real rank (Link for newest version).
Bounds on the regularity of quadratic monomial ideals (Link for newest version).
Contacts
Daegu Gyeongbuk Institute of Science and Technology, Global Basic Research Laboratory-AGSTA
333 Techno Jungang-daero, Hyeonpung-eup, Dalseong-gun,
Daegu, South Korea. Zip: 42988
Email: jaewoojung@dgist.ac.kr
Phone: +82-53-785-6681
Office: E7 L23
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