Yunhyung Cho

CONTACT Mobile: +82-10-9896-2021 INFORMATION Center for Geometry and Physics, Office: +82-54-279-9178 Institute for Basic Science(IBS), Pohang, Republic of E-mail : Korea 37673 [email protected]

NATIONALITY Republic of Korea.

RESEARCH Compact Actions and INTERESTS • Hamiltonian group action • Toric geometry. • Okounkov bodies. • integrable system. • Lagrangian Floer theory.

EDUCATION 2006.3-2010.8 : Ph.D. in Mathematics, Korea Advanced Institute of Science and Technology. Advisor : Dong Youp Suh. 2004.3-2006.2 : M.S. in Mathematics, Korea Advanced Institute of Science and Technology. 1999.3-2004.2 : B.S. in Mathematics, Korea Advanced Institute of Science and Technology.

EMPLOYMENT 2015.10- present : Research fellow, Institute for Basic Science - Center for Geometry and Physics. Supervisor : Yong-Geun Oh. 2014.9- 2015.9 : Research fellow in Geometry and Mathematical Physics Project, Instituto Superior Técnico, Lisbon. Supervisor : Leonor Godinho. 2012.9-2012.12 : Visiting scholar, Columbia University (Host : Dusa McDuff). 2011.9-2014.9 : Research fellow, Korea Institute for Advanced Study (KIAS). Supervisor : Bumsig Kim. 2010.9-2011.8 : Research fellow, Korea Advanced Insitute of Science and Technology (KAIST). Supervisor : Dong Youp Suh.

PUBLICATIONS published or accepted papers

1. Log-concavity of complexity one Hamiltonian torus actions, with Min Kyu Kim. C. R. Math. Acad. Sci. . 350 (2012), No.17-18, pp. 845-848. 2. The log-concavity of the Duistermaat-Heckman measure for semifree Hamiltonian circle actions. Proc. Amer. Math. Soc. 142 (2014), No. 7, pp. 2417-2428. 3. Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points, with Min Kyu Kim. Math. Res. Lett. 21 (2014), No. 4, pp. 691-696. 4. Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set, with Taekkyu Hwang and Dong Youp Suh. J. Symplec- tic Geom, accepted. arXiv:1005.0193. 5. Hard Lefschetz property for Hamiltonian circle action with self-indexing moment maps, with Min Kyu Kim. Math. Res. Lett, accepted, arXiv:1312.6512.

1 of 4 6. Hard Lefschetz property of symplectic structures on compact Kähler manifolds, Trans. Amer. Math. Soc. accepted, arXiv:1403.1418 7. Unimodality of the Betti numbers for Hamiltonian circle actions with index-increasing moment maps, Internat. J. Math, accepted, arXiv:1404.6072.

preprints

1. Hard Lefschetz property for Hamiltonian torus actions on 6-dimensional GKM- manifolds with Min Kyu Kim, arXiv:1310.8405, submitted. 2. Classification of 6-dimensional monotone symplectic manifolds admitting semifree Hamiltonian circle actions, in preparation (2015). 3. An example of circle actions on symplectic Calabi-Yau manifolds with non-empty fixed points, with Min Kyu Kim. arXiv:1304.0540 (2013), submitted. 4. Chern classes and symplectic circle actions, with Min Kyu Kim and Dong Youp Suh. arXiv:1207.4977 (2012), submitted. 5. On the Chern numbers for pseudo-free circle actions, with Byunghee An, in prepara- tion (2015)

LECTURESERIES 2015 April • Lectures on equivariant symplectic geometry, Daejeon, KAIST.

INVITED TALKS 2015 December • Korea Toric Topology winter workshop, Gyeong-ju, Korea. On the Chern numbers for pseudo-free circle actions. 2015 November • Pohang mathematics workshop, Geoje, Korea. On the Chern numbers for pseudo-free circle actions. 2015 June • AMS-EMS-SPM International Meeting , Porto, Portugal. Unimodality of Betti numbers for Hamiltonian circle actions with isolated fixed points. 2015 March • Geometry seminar in Lisbon, IST Lisbon, Portugal. Symplectic circle actions with isolated fixed points. 2014 December • NIMS-AJOU Joint workshop on toric topology and computing, Jeju, Korea. On the hard Lefschetz property for symplectic manifolds. 2014 June • Workshop on Complex Geometry and Lie Groups, Turin, Italy. Hard Lefschetz property for simple Hamiltonian S1-manifolds. 2014 March • Symplectic geometry seminar, Postech, Pohang, Korea. Hard Lefschetz property for simple Hamiltonian S1-manifolds. • Symplectic geometry seminar, IBS, Pohang, Korea. Hard Lefschetz property for simple Hamiltonian S1-manifolds. 2014 January • Toric Topology Conference, Osaka city University, Osaka, Japan. Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points. 2013 December • Symplectic geometry seminar, Daejeon, Korea. Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points.

2 of 4 • Symplectic geometry seminar, Chonbuk National University, Jeonju, Korea. Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points. 2013 November • Symplectic geometry seminar, Ajou University, Suwon, Korea. Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points. 2012 September-November • Series of informal seminar, Columbia University, USA. Classification of 6-dimensional monotone symplectic manifolds admitting semifree Hamil- tonian circle actions. 2011 August • Conference on Symplectic Topology and Contact Topology, POSTECH, Pohang, Korea. Classification of 6-dimensional monotone symplectic manifolds admitting semifree Hamil- tonian circle actions. 2011 June • East Asia Symplectic Conference, Korea Institute for Advanced Study. The log-concavity of the Duistermaat-Heckman measure for semifree Hamiltonian circle actions. 2010 November • Symplectic geometry seminar, Seoul National University, Seoul, Korea. Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set. 2009 December • Joint Meeting of KMS and AMS, Ewha Womans University, Seoul, Korea. Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set. • The 36th Symposium on Transformation Groups, Osaka City University, Sugimoto Cam- pus, Osaka, Japan. Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set. • Toric Topology Seminar,Osaka City University, Osaka, Japan. Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set. 2008 August • ASARC-Conference on transformation group theory, KAIST, Daejon, Korea. Circle actions on Symplectic manifolds. 2007 July • Summer school on Symplectic geometry and Toric topology, Osaka City University, Osaka, Japan. Circle actions on Symplectic manifolds.

HONORSAND 2014 : FCT Grants SFRH/BPD/103100/2014 AWARDS 2013 : Scientific Paper Award, KIAS. 2012 : MSJ-SI grant for Young mathematician, Mathematical Society of Japan. 2009 : Outstanding Teaching Assistant Award, KAIST.

TEACHING Recitation sessions : EXPERIENCE • Calculus, 2004 spring and fall. • Linear algebra, 2005 spring. • Advanced linear algebra, 2005 fall. • Linear algebra, 2006 spring. • Differential geometry, 2006 fall.

3 of 4 • Algebraic topology, 2007 spring. • Analysis on differentiable manifolds, 2007 fall. • Calculus, 2008 spring and fall. • Linear algebra, 2009 spring.

REFERENCES Leonor Godinho Department of Mathematics Instituto Superior Técnico, Lisbon, Portugal [email protected]

Megumi Harada Department of Mathematics and Statistics McMaster University, Ontario, Canada [email protected]

Bumsig Kim School of Mathematics Korea Institute for Advanced Study, Seoul, Korea [email protected]

Dusa McDuff Department of Mathematics Barnard College, Columbia University [email protected]

Dong Youp Suh Department of Mathematical Sciences Korea Advanced Institute of Science and Technology, Daejeon, Korea [email protected]

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