● 학력 (Education)
2003년 3월 - 2010년 2월: 서울대학교 수리과학부 이학박사
1998년 3월 - 2002년 2월: 한국교원대학교 수학교육과 학사
● 경력 (Experience)
2020년 9월 - 현재: 부산대학교 수학과 교수
2015년 9월 - 2017년 8월: 부산대학교 수학과장
2015년 9월 - 2020년 8월: 부산대학교 수학과 부교수
2011년 9월 - 2015년 8월: 부산대학교 수학과 조교수
2010년 3월 - 2011년 8월: KIAS 연구원
● 대표논문 (Selected Publications)
○국외학술지
(S)SCI(E)
[34]표준철,Pak Tung Ho,"First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow", DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS /ISSN = 0926-2245,Vol.93 pp.1 - 8 (2024/04)(ELSEVIER SCIENCE BV)
[33]표준철,Pak Tung Ho,"Evolution of the first eigenvalue along the inverse mean curvature flow in space forms",JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS /ISSN = 0022-247X, Vol.532 Issue.1 pp.1 - 19 (2024/04)(ACADEMIC PRESS INC ELSEVIER SCIENCE)
[32]표준철,Pak Tung Ho,"RIGIDITY RESULTS FOR MEAN CURVATURE FLOW GRAPHICAL TRANSLATORS MOVING IN NON-GRAPHICAL DIRECTION",PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY /ISSN = 0002-9939, Vol.151 Issue.12 pp.5391 - 5402 (2023/12)(AMER MATHEMATICAL SOC)
[31]표준철,Pak Tung Ho,"Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space",INTERNATIONAL JOURNAL OF MATHEMATICS /ISSN = 0129-167X, Vol.34 Issue.5 pp.1 - 21 (2023/04)(WORLD SCIENTIFIC PUBL CO PTE LTD)
[30]표준철,Pak Tung Ho,"Backward uniqueness for the inverse mean curvature flow",GEOMETRIAE DEDICATA /ISSN = 0046-5755, Vol.217 Issue.2 pp.1 - 6 (2023/04)(SPRINGER)
[29]표준철 "FIRST STABILITY EIGENVALUE OF SINGULAR HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN THE UNIT SPHERE", PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY /ISSN = 0002-9939, Vol.151 Issue.2 pp.795 - 810 (2023/02) (AMER MATHEMATICAL SOC)
[28]표준철,Dung, Ha Tuan,Dung, Nguyen Thac, "First 2/n-stability eigenvalue of singular minimal hypersurfaces in space forms", ANNALS OF GLOBAL ANALYSIS AND GEOMETRY /ISSN = 0232-704X, Vol.63 Issue.1 pp.1 - 9 (2023/02) (SPRINGER)
[27]표준철,박상우, "Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper?s surface", JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS /ISSN = 0022-247X, Vol.514 Issue.1 pp.1 - 14 (2022/10) (ACADEMIC PRESS INC ELSEVIER SCIENCE)
[26]표준철,이지현, "Double CMC surfaces in Euclidean and hyperbolic spaces", ANNALES POLONICI MATHEMATICI /ISSN = 0066-2216,(2022/08) (POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN)
[25]표준철,박상우, "Rigidity of minimal hypersurfaces with free boundary in a ball", GEOMETRIAE DEDICATA /ISSN = 0046-5755, Vol.216 Issue.3 pp.1 - 9 (2022/06) (SPRINGER)
[24]표준철,김대환, "Properness of translating solitons for the mean curvature flow", INTERNATIONAL JOURNAL OF MATHEMATICS /ISSN = 0129-167X, Vol.33 Issue.04 (2022/03) (WORLD SCIENTIFIC PUBL CO PTE LTD)
[23]표준철,김대환, "Remarks on solitons for inverse mean curvature flow", MATHEMATISCHE NACHRICHTEN /ISSN = 0025-584X, Vol.293, Issue.12, pp.2363-2369 (2020/12) (WILEY-V C H VERLAG GMBH)
[22]표준철,박상우, "Rigidity results of free boundary maximal hypersurfaces in the region bounded by a de Sitter space", CLASSICAL AND QUANTUM GRAVITY /ISSN = 0264-9381, Vol.37, Issue.21, pp.1-9 (2020/11) (IOP PUBLISHING LTD)
[21]표준철, "Hypersurfaces with free boundary in a convex conical domain in a space form", ANNALES POLONICI MATHEMATICI /ISSN = 0066-2216, Vol.125, Issue.1, pp.71-81 (2020/07) (POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN)
[20]Nguyen Thac Dung,Nguyen Van Duc,표준철, "Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted Bi-Ricci curvature bounded from below", JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS /ISSN = 0022-247X, Vol.484, Issue.1, pp.1-29 (2020/04) (ACADEMIC PRESS INC ELSEVIER SCIENCE)
[19]표준철,김대환, "O(m) × O(n)-invariant homothetic solitons for inverse mean curvature flow in Rm+n", NONLINEARITY /ISSN = 0951-7715, Vol.32, Issue.10, pp.3873-3911 (2019/09) (IOP PUBLISHING LTD) (한국연구재단)
[18]표준철, "RIGIDITY THEOREMS OF HYPERSURFACES WITH FREE BOUNDARY IN A WEDGE IN A SPACE FORM", PACIFIC JOURNAL OF MATHEMATICS /ISSN = 0030-8730, Vol.299, Issue.2, pp.489-510 (2019/04) (PACIFIC JOURNAL MATHEMATICS) (한국연구재단)
[17]표준철,김대환, "Translating Solitons for the Inverse Mean Curvature Flow", RESULTS IN MATHEMATICS /ISSN = 1422-6383, Vol.74, Issue.1, pp.1-28 (2019/03) (SPRINGER BASEL AG) (한국연구재단)
[16]표준철,김대환, "EXISTENCE AND ASYMPTOTIC BEHAVIOR OF HELICOIDAL TRANSLATING SOLITONS OF THE MEAN CURVATURE FLOW", DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS /ISSN = 1078-0947, Vol.38, Issue.11, pp.5897-5919 (2018/11) (AMER INST MATHEMATICAL SCIENCES)
[15]표준철,Kwok-Kun Kwong,Hojoo Lee, "Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces", MATHEMATICAL RESEARCH LETTERS /ISSN = 1073-2780, Vol.25, Issue.2, pp.597-616 (2018/07) (INT PRESS BOSTON)
[14]표준철,김대환, "Rigidity Theorems of Minimal Surfaces Foliated by Similar Planar Curves", RESULTS IN MATHEMATICS /ISSN = 1422-6383, Vol.72, Issue.4, pp.1697-1716 (2017/12) (BIRKHAUSER VERLAG AG)
[13]표준철,박성호,박성호,박성호, "Free boundary minimal hypersurfaces with spherical boundary", MATHEMATISCHE NACHRICHTEN /ISSN = 0025-584X, Vol.290, Issue.5-6, pp.885-889 (2017/04) (WILEY-V C H VERLAG GMBH)
[12]표준철,김대환, "Translating solitons foliated by spheres", INTERNATIONAL JOURNAL OF MATHEMATICS /ISSN = 0129-167X, Vol.28, Issue.1, pp.1-11 (2017/02) (WORLD SCIENTIFIC PUBL CO PTE LTD)
[11]표준철, "Compact translating solitons with non-empty planar boundary", DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS /ISSN = 0926-2245, Vol.47, pp.79-85 (2016/08) (ELSEVIER SCIENCE BV)
[10]표준철,M. Batista,cavalcante, "Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds", JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS /ISSN = 0022-247X, Vol.419, Issue.1, pp.617-626 (2014/11) (ACADEMIC PRESS INC ELSEVIER SCIENCE)
[9]표준철,Rodriguez,Magdalena, "Simply Connected Minimal Surfaces with Finite Total Curvature in H-2 x R", INTERNATIONAL MATHEMATICS RESEARCH NOTICES /ISSN = 1073-7928, Issue.11, pp.2944-2954 (2014/09) (HINDAWI PUBLISHING CORPORATION)
[8]표준철, "FOLIATIONS OF A SMOOTH METRIC MEASURE SPACE BY HYPERSURFACES WITH CONSTANT f-MEAN CURVATURE", PACIFIC JOURNAL OF MATHEMATICS /ISSN = 0030-8730, Vol.271, Issue.1, pp.231-242 (2014/09) (PACIFIC JOURNAL MATHEMATICS)
[7]표준철,Lopez,Rafael, "Capillary surfaces of constant mean curvature in a right solid cylinder", MATHEMATISCHE NACHRICHTEN /ISSN = 0025-584X, Vol.287, Issue.11-12, pp.1312-1319 (2014/08) (WILEY-V C H VERLAG GMBH)
[6]표준철,Lopez, Rafael, "Capillary surfaces in a cone", JOURNAL OF GEOMETRY AND PHYSICS /ISSN = 0393-0440, Vol.76, pp.256-262 (2014/02) (ELSEVIER SCIENCE BV)
[5]표준철,Lopez, Rafael,Lopez, Rafael, "Constant mean curvature surfaces with boundary on a sphere", APPLIED MATHEMATICS AND COMPUTATION /ISSN = 0096-3003, Vol.220, Issue.0, pp.316-323 (2013/09) (ELSEVIER SCIENCE INC)
[4]표준철, "Singly-periodic minimal surfaces in $\Bbb H^2\times \Bbb R$", 대한수학회보(Bulletin of the Korean Mathematical Society) /ISSN = 1015-8634, Vol.49, Issue.5, pp.1089-1099 (2012/09) (대한수학회)
[3]표준철, "Remarks on minimal annuli in a slab", ARCHIV DER MATHEMATIK /ISSN = 0003-889X, Vol.98, Issue.2, pp.193-198 (2012/02) (BIRKHAUSER VERLAG AG)
[2]표준철,Lopez, Rafael, "Space-like surfaces with free boundary in the Lorentz-Minkowski space", CLASSICAL AND QUANTUM GRAVITY /ISSN = 0264-9381, Vol.29, Issue.3, pp.1-10 (2012/02) (IOP PUBLISHING LTD)
[1]표준철,서검교, "Spacelike capillary surfaces in the Lorentz-Minkowski space", BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY /ISSN = 0004-9727, Vol.84, Issue.3, pp.362-371 (2011/12) (AUSTRALIAN MATHEMATICS PUBL ASSOC INC)
○국내학술지
학진등재
[2]표준철,남응모,"Stability and topology of translating solitons for the mean curvature flow with the small lm norm of the second fundamental form",대한수학회보(Bulletin of the Korean Mathematical Society) /ISSN = 1015-8634, Vol.60 Issue.1 pp.171 - 184 (2023/04)(대한수학회)
[1]표준철,"THE MONOTONE PROPERTY OF THE FIRST NONZERO EIGENVALUE OF THE P-LAPLACIAN ALONG THE INVERSE MEAN CURVATURE FLOW WITH FORCE TERM",East Asian Mathematical Journal /ISSN = 1226-6973, Vol.38 Issue.3 pp.331 - 338, (2022/05) (Executive Board of the Pusan Kyongnam Branch of the Korean MathematicalSociety)
● 대학원생(Graduate student)
○석사 졸업생 김대환 (2014년 2월) 정호영 (2016년 2월) 이지현 (2018년 2월) 남응모 (2020년 2월) 무사 아모스 스테파노 (2020년 8월) 장기현 (2022년 2월) ○석사 과정생 이준엽 | ○박사 졸업생 김대환 (2018년 8월) ○박사 수료생 이지현 남응모 ○박사 과정생 티엔 쉐치안 ○석박사 통합 졸업생 박상우 (2022년 2월) |