Jaewoo Jung
(Jaewoo Jeong)
Jaewoo Jung
I am currently a postdoctoral research associate in the Center of Complex Geometry at the Institute for Basic Science (IBS-CCG).
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.
I am a reviewer of zbMATH Open (Zentralblatt MATH).
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 ariv, please follow this link.
An Eisenbud-Goto type inequality for Stanley-Reisner ideals and simplicial complexes with Jinha Kim, Minki Kim, Yeongrak Kim, arXiv:2308.03338, submitted for publication.
"Sums of squares, Hankel index, and almost real rank" with G. Blekherman, J. Chen, arXiv:2108.06635, accepted in Forum of Mathematics Sigma.
"Bounds on Regularity of Quadratic Monomial Ideals" with G. Blekherman, arXiv:1906.06358., Journal of Combinatorial Theory, Series A (2020).
Ongoing projects
Quadratic persistences and Pythagoras numbers of projective curves.
Quadratic persistences of monomial ideals.
Secant monomial ideals.
Quadratic Rank-index of non-aCM curves of almost minimal degree.
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
Institute for Basic Science - Center for Complex Geometry (IBS-CCG)
55 Expo-ro Yuseong-gu
Daejeon, South Korea. Zip: 34126
Email: jaewoojung@ibs.re.kr
Office: B257