교원프로필

오용근 사진
교원에 대한 정보를 나타내는 표입니다.
성명 오용근
소속 수학과
전화번호 279-2054
E-mail yongoh1@postech.ac.kr
Homepage http://cgp.ibs.re.kr/~yongoh

학력

  • 1983.05 ~ 1988.05 UNIV. OF CALIFORNIA AT BERKELEY (박사-수학)
  • 1979.03 ~ 1983.02 서울대학교 (학사-수학)

주요경력

  • 2001.09 ~ 2013.10 : 위스콘신대학교 수학과
  • 2000.09 ~ 2008.08 : 고등과학원
  • 1998.05 ~ 2000.08 : 고등과학원
  • 1997.09 ~ 2001.08 : 위스콘신대학교 수학과
  • 1991.09 ~ 1997.08 : 위스콘신대학교 수학과
  • 1989.09 ~ 1991.08 : 뉴욕대 COURANT INSTITUTE
  • 1988.09 ~ 1989.08 : MSRI

전문분야

학술지

국제전문학술지

  • Antisymplectic involution and Floer cohomology, Geometry and Topology, , 21, 1-106 (2017)
  • Hamiltonian C-0-continuity of Lagrangian capacity on the cotangent bundle, KYOTO JOURNAL OF MATHEMATICS, , 57, 613-636 (2017)
  • Lagrangian Floer theory and mirror symmetry on compact toric manfolds, Asterisque, , 376, 1-340 (2016)
  • Schrinking good coordinates systems associated to Kuranishi structures, Journal of Symplectic Geometry, , 14, 1295-1310 (2016)
  • Deformations of coisotropic submanifolds in locally conformal symplectic manifolds, Asian Journal of Mathematics, , 20, 553-596 (2016)
  • Continuous Hamiltonian dynamics and area-preserving homeomorphism group of D2, Journal of the Korean Mathematical Society, , 53, 795-834 (2016)
  • A COMPACTIFICATION OF THE SPACE OF MAPS FROM CURVES, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, , 366, 51-74 (2014)
  • Lagrangian Floer theory over integers: Spherically positive symplectic manifolds, PURE AND APPLIED MATHEMATICS QUARTERLY, , 9, 189-289 (2013)
  • DISPLACEMENT OF POLYDISKS AND LAGRANGIAN FLOER THEORY, JOURNAL OF SYMPLECTIC GEOMETRY, , 11, 231-268 (2013)
  • Toric Degeneration and Nondisplaceable Lagrangian Tori in S(2)xS(2), INTERNATIONAL MATHEMATICS RESEARCH NOTICES, , , 2942-2993 (2012)
  • FLOER TRAJECTORIES WITH IMMERSED NODES AND SCALE-DEPENDENT GLUING, JOURNAL OF SYMPLECTIC GEOMETRY, , 9, 483-636 (2011)
  • Seidel's long exact sequence on Calabi-Yau manifolds, KYOTO JOURNAL OF MATHEMATICS, , 51, 687-765 (2011)
  • Lagrangian Floer theory on compact toric manifolds II: bulk deformations, SELECTA MATHEMATICA-NEW SERIES, , 17, 609-711 (2011)
  • Higher jet evaluation transversality of J-holomorphic curves, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 48, 341-365 (2011)
  • FLOER MINI-MAX THEORY, THE CERF DIAGRAM, AND THE SPECTRAL INVARIANTS (vol 46, pg 363, 2009), JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 47, 1329-1330 (2010)
  • Lagrangian Floer theory on compact toric manifolds I, DUKE MATHEMATICAL JOURNAL, , 151, 23-174 (2010)
  • EMBEDDING PROPERTY OF J-HOLOMORPHIC CURVES IN CALABI-YAU MANIFOLDS FOR GENERIC J, ASIAN JOURNAL OF MATHEMATICS, , 13, 323-340 (2009)
  • Floer mini-max theory, the Cerf diagram, and the spectral invariants, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 46, 363-447 (2009)
  • The group of Hamiltonian homeomorphisms and C(0)-symplectic topology, JOURNAL OF SYMPLECTIC GEOMETRY, , 5, 167-220 (2007)
  • Floer cohomology and disc instantions of Lagrangian torus fibers in Fano toric manifolds, ASIAN JOURNAL OF MATHEMATICS, , 10, 773-814 (2006)
  • Deformations of coisotropic submanifolds and strong homotopy Lie algebroids, INVENTIONES MATHEMATICAE, , 161, 287-360 (2005)
  • Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group, DUKE MATHEMATICAL JOURNAL, , 130, 199-295 (2005)
  • Normalization of the Hamiltonian and the action spectrum, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 42, 65-83 (2005)
  • Spectral invariants and the length minimizing property of Hamiltonian paths, ASIAN JOURNAL OF MATHEMATICS, , 9, 1-17 (2005)
  • ERRATUM TO "CHAIN LEVEL FLOER THEORY AND HOFER'S GEOMETRY OF THE HAMILTONIAN DIFFEOMORPHISM GROUP", ASIAN JOURNAL OF MATHEMATICS, , 7, 447-448 (2003)
  • Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group, ASIAN JOURNAL OF MATHEMATICS, , 6, 579-624 (2002)
  • Floer homology and its continuity for non-compact Lagrangian submanifolds, TURKISH JOURNAL OF MATHEMATICS, , 25, 103-124 (2001)
  • Floer homology of open subsets and a relative version of Arnold's conjecture, MATHEMATISCHE ZEITSCHRIFT, , 236, 151-189 (2001)
  • Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, , 8, 31-82 (2000)
  • Symplectic Topology as the Geometry of Action Functional, II - pants product and cohomological invariants, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, , 7, 1-54 (1999)
  • Gromov-Floer theory and disjunction energy of compact Lagrangian embeddings, MATHEMATICAL RESEARCH LETTERS, , 4, 895-905 (1997)
  • Symplectic topology as the geometry of action functional. I - Relative Floer theory on the cotangent bundle, JOURNAL OF DIFFERENTIAL GEOMETRY, , 46, 499-577 (1997)
  • Floer homology as the stable Morse homology, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 34, 1065-1087 (1997)
  • On the structure of pseudo-holomorphic discs with totally real boundary conditions, JOURNAL OF GEOMETRIC ANALYSIS, , 7, 305-327 (1997)
  • ZERO-LOOP OPEN STRINGS IN THE COTANGENT BUNDLE AND MORSE HOMOTOPY, ASIAN JOURNAL OF MATHEMATICS, , 1, 96- (1997)
  • Fredholm theory of holomorphic discs under the perturbation of boundary conditions, MATHEMATISCHE ZEITSCHRIFT, , 222, 505-520 (1996)
  • Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, , , X-346 (1996)
  • Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks. I.Addendum, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 48, 1299-1302 (1995)
  • Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks. I., COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 48, 1299-1302 (1995)
  • Mean curvature vector and symplectic topology of Lagrangian submanifolds in Einstein-Kähler manifolds, MATHEMATISCHE ZEITSCHRIFT, , 216, 471-482 (1994)
  • Floer cohomology of lagrangian intersections and pseudo-holomorphic disks II: (ℂ Pn), ℝpn, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 46, 995-1012 (1993)
  • Volume minimization of Lagrangian submanifolds under Hamiltonian deformations, MATHEMATISCHE ZEITSCHRIFT, , 212, 175-192 (1993)
  • Removal of boundary singularities of pseudo-holomorphic curves with Lagrangian boundary conditions, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 45, 121-139 (1992)
  • Floer cohomology and Arnol’d-Givental’s conjecture of Lagrangian intersections, COMPTES RENDUS MATHEMATIQUE, , 315, 309-314 (1992)
  • Tight lagrangian submanifolds in CPn, MATHEMATISCHE ZEITSCHRIFT, , 207, 409-416 (1991)
  • On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential, COMMUNICATIONS IN MATHEMATICAL PHYSICS, , 131, 223-253 (1990)
  • Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds, INVENTIONES MATHEMATICAE, , 101, 501-519 (1990)
  • A symplectic fixed point theorem onT 2n ×CP k, MATHEMATISCHE ZEITSCHRIFT, , 203, 535-552 (1990)
  • Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials, JOURNAL OF DIFFERENTIAL EQUATIONS, , 81, 255-274 (1989)
  • The dynamics of coupled planar rigid bodies. II. Bifurcations, periodic solutions, and chaos, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, , 1, 269-298 (1989)
  • Correction to Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class (V)a, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, , 14, 833-834 (1989)
  • Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials, COMMUNICATIONS IN MATHEMATICAL PHYSICS, , 121, 11-33 (1989)
  • Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, , 13, 1499-1519 (1988)
  • A stability criterion for Hamiltonian systems with symmetry, JOURNAL OF GEOMETRY AND PHYSICS, , 4, 163-182 (1987)
  • Some remarks on the transverse poisson structures of coadjoint orbits, LETTERS IN MATHEMATICAL PHYSICS, , 12, 87-91 (1986)
  • Erratum to: "Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group", ASIAN JOURNAL OF MATHEMATICS, , , - (0020)
  • Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group, ASIAN JOURNAL OF MATHEMATICS, , , - (0020)
  • Floer homology and its continuity for non-compact Lagrangian submanifolds, TURKISH JOURNAL OF MATHEMATICS, , , - (0020)
  • Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, , , - (0019)
  • Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class-(V)A, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, , , - (0019)
  • Floer cohomology and Arnold-Giventals conjecture of Lagrangian intersections, COMPTES RENDUS MATHEMATIQUE, , , - (0019)

국내전문학술지

일반학술지

  • Localization of Floer homology of engulfed topological Hamiltonian loop, Communications in Information and Systems, , 13, 399-443 (2013)

학술회의논문

학회발표

  • Symplectic topology, Hamiltonian dynamics and pseudoholomorphic curves, 없음, 0, 0, - (2017)
  • Lagrangian fibers of Gelfand-Cetlin systems II, 없음, 0, 0, - (2017)
  • Symplectic topology, Hamiltonian dynamics and pseudoholomorphic curves, 없음, 0, 0, - (2017)
  • Lagrangian Floer theory and mirror symmetry on toric manifolds, 없음, 0, 0, - (2017)
  • Lagrangian Floer theory and Gelfand-cetlin systems, 없음, 0, 0, - (2017)
  • Bulk deformations and nondisplaceable Lagrangian tori, 없음, 0, 0, - (2017)
  • Topological extension of Calabi invariants and Lagrangian Floer theory, 업음, 0, 0, - (2017)
  • Lipschitz-exact Lagrangian submanifolds and Tonelli Hamiltonian, ., 0, 0, - (2016)
  • Symplectic topology and higher homological algebra, ., 0, 0, - (2016)
  • Bulk deformations and nondisplaeable Lagrangian tori, ., 0, 0, - (2016)
  • Bulk deformations, tropicalization and non-displaceable Lagrangian tori, ., 0, 0, - (2016)
  • Lagrangian Floer theory and mirror symmetry on toric manifolds, 없음, 0, 0, - (2016)
  • Topological extension of Calabi invariants and its applications, ., 0, 0, - (2015)
  • Topological Extension of Calabi invariants and its applications, ., 0, 0, - (2015)
  • Holomorphic discs, tropicalization and non-displaceable Lagrangian tori, ., 0, 0, - (2015)
  • Lagrangian Floer theory on compact manifolds II: bulk deformations, ., 0, 0, - (2015)
  • Lagrangian Floer theory on compact toric manifolds, ., 0, 0, - (2015)
  • Lagrangian Floer theory on compact toric manifolds II: bulk deformations, ., 0, 0, - (2015)
  • Uncertainty principle, symplectic geometry and mirror symmetry, ., 0, 0, - (2014)
  • Bulk deformations of Lagrangian Floer homology and nondisplaceable Lagrangian tori in S^2 X S^2, ., 0, 0, - (2014)
  • Canonical connection and analysis of contact Cauchy-Riemann maps, ., 0, 0, - (2014)
  • Analysis of contact Cauchy-Riemann maps and canonical connection on contact manifolds, ., 0, 0, - (2014)
  • Uncertainty principle, Gromov's nonsqueesing theorem and symplectic topology, ., 0, 0, - (2014)
  • Frobenius manifold structure and Lagrangian Floer theory for toric manifolds, ., 0, 0, - (2014)
  • Nondisplaceable Lagrangian tori in S^2 × S^2, ., 0, 0, - (2014)
  • Analysis of contact Cauchy-Riemann maps and canonical connection on contact manifolds, ., 0, 0, - (2013)
  • Lagrangian intersections, symplectic quasistates and open-closed Floer theory, ., 0, 0, - (2013)
  • ???, ., 0, 0, - (2013)
  • Hamilton-Jacobi equation and continuous Hamiltonian dynamics, ., 0, 0, - (2013)
  • Geometry of generating functions and Lagrangian spectral invariants, ., 0, 0, - (2013)
  • Hamilton-Jacobi equation and Lagrangian spectral invariants, ., 0, 0, - (2013)
  • Canonical connection and analysis of contact Cauchy-Riemann equation, ., 0, 0, - (2013)

단행본

  • Kuranishi structures and virtual fundamental chains, springer, 631, OH, YG (2020)
  • Symplectic topology and Floer homology 1:Symplectic Geometry and Pseudoholomorphic Curves, Cambridge University Press, 395, 오용근 (2015)
  • Symplectic Topology and Floer Homology:2:Floer Homology and Its Applications, Cambridge University Press, 446, 오용근 (Yong-Geun Oh) (2015)
  • Lagrangian intersection Floer theory: anomaly and obstruction. Part II, American Mathematics Society, , (2009)
  • Lagrangian intersection Floer theory: anomaly and obstruction. Part I, American Mathematical Society, , (2009)

연구실적

  • 석학교수경비지원사업(수학), 포항공과대학교 (2010-2011)
  • 기하학 수리물리 연구단 유치기관 지원금, 포항공과대학교 (2012-2020)
  • 아이젠버드-그린-해리스 추측에 관하여, 재단법인한국연구재단 (2014-2015)
  • (IBS 오용근)_기하학 수리물리 연구단 연구실 구축비, 포항공과대학교 (2014-2020)
  • 아이젠버드-그린-해리스 추측에 관하여, 재단법인한국연구재단 (2015-2016)
  • 4.10849, 4.11129 이월과제(노현빈), 재단법인한국연구재단 (2015-2016)
  • 2015_IBS유치기관지원금(기하학수리물리연구단)_수학_오용근, 포항공과대학교 (2015-2020)
  • 2016년_IBS 유치기관 지원금(기하학 수리물리연구단), 포항공과대학교 (2016-2020)
  • 2017_IBS 유치기관지원금(기하학 수리물리연구단), 포항공과대학교 (2017-2020)
  • 2018_IBS 유치기관지원금(기하학수리물리연구단), 포항공과대학교 (2020-2020)
  • 2019년 IBS 유치기관지원금(오용근_기하학물리수리연구단), 포항공과대학교 (2020-2020)
  • 2020_IBS유치기관지원금(기하학수리물리연구단)_오용근, 포항공과대학교 (2020-2020)
  • 2021_IBS유치기관지원금(기하학수리물리연구단)_오용근, 포항공과대학교 (2021-2021)
  • 2022년 IBS 유치기관지원금(오용근), 포항공과대학교 (2022-2022)

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