Jeong Hyeong Park

⊙ Research Interest :

• Spectral Geometry 
• Foliation Theory 
• Geometric structure of manifolds
• Differential Geometry

⊙ Personal : 

• Address : Department of Mathematics
  Sungkyunkwan University  
  300 Chunchun-dong, Jangan-gu, Suwon, Gyeonggi-do, 440-746, Korea
• E-mail Address : parkj@skku.edu
• Phone numbers : +82-31-299-4521
• Fax numbers     :  +82-62-290-7033

⊙ Professional Positions: 

• Apr. 2006 - Present  : Professor at Sungkyunkwan University 
• Sept. 2005 - Mar.2006  : Associate Professor at Sungkyunkwan University 
• March. 99 - Aug. 2005 : Associate Professor at Honam University 
• Jan. 2005- Present : Reviewer for Mathematical Reviews(AMS)  
• July 2005 - Dec. 2008 : Associate member of KIAS
• Jan. 2004 - Dec. 2009 : Editor of Comm. Korean Math. Soc.
• Feb. 2003 - Feb. 2004 : Visiting faculty at University of Oregon (Eugene, USA)
• Dec. 96 - Feb. 97 : Visiting faculty at University of Oregon (Eugene, USA)
• Sep. 96 - Dec. 96 : Research Associate at Max Planck Institut (Bonn, Germany)
• Oct. 94 - Feb. 99 : Assistant Professor at Honam University
• Dec. 93 - Feb. 94 : Visiting Faculty at Brown University (U.S.A)

⊙ Selected Papers : 

• Nearly Kaehler manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor(joint with Y. Euh, and K. Sekigawa), Differential Geometry and Its Applications (to appear).
• Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series (joint with P. Gilkey, and C. Dunn) J. Phys. A: Math. Theor. 41 (2008) 135204 (4pp).
• Remarks on eta Einstein unit tangent bundle (joint with Y. Chai, S. Chun, and K. Sekigawa) Monatshefte fur Mathematik (2008).
• The spectral geometry of the canonical Riemannian submersion of a compact Lie Group(joint with P. Gilkey and C. Dunn ), J. Geom. Phys. 57 (2007), 2065-2076.
• Eigenforms of the Laplacian for Riemannian V-submersions(joint with P. Gilkey and H. Kim), Tohoku Math. J 57 (2005), 505-519.
• The Spectral Geometry of Einstein mainfolds with boundary, J. Korean Math. Soc. 41, (2004) 875-882.
• Heat Content asymptotics for operators of Laplace type with spectral boundary conditions (joint with P. Gilkey, K. Kirsten), Letters in Mathematical Physics 68 (2004), 67-76.
• Spectral Geometry and the Kaehler Condition for Hermitian Manifolds with Boundary,  Contempoary Math. AMS (2003) 337, 121-128.
• Heat trace asymptotics of a time-dependent process(joint with P. Gilkey and K. Kirsten), J. Phys. A : Math. Gen. 34 (2001), 1153-1168.
• The spectral geometry of Riemannian submersions for manifolds with boundary, Rocky Mountain J. Math. 30 (2000), 353-369.
• Continuous variation of eigenvalues and Garding's inequality, Differential Geometry and its Applications, 10 (1999), 187-189.
• The Bochner Laplacian, Riemannian submersions, Heat content asymptotics and Heat equation asymptotics(joint with P.Gilkey), Czech Math J.49 (1999), 233-240.
• The eigenforms of the complex Laplacian for a Hermitian submersion(joint with P. Gilkey and J.Leahy), Nagoya Math. J. 156 (1999), 1-23.
• Eigenvalues of the form valued Laplacian for Riemannian submersions(joint with P. Gilkey and J. Leahy), Proceedings of AMS, 126 (1998) , 1845-1850.
• Invariant metrics of positive Ricci curvature on principal bundles(joint with P.Gilkey and W.Tuschumann), Mathematische Zeitschrift, 227 (1998), 455-463.
• Eigenforms of the spin Laplacian and projectable spinors for principal bundles(joint with P. Gilkey and J. Leahy), Nuclear Physics B 514 (1998), 740-752. 
• The spectral geometry of the Hopf fibration(joint with P. Gilkey and J. Leahy), J. Physics A 29 (1996), 5645-5656 . 
• Riemannian submersions which perserve the eigenforms of the Laplacian(joint with P.Gilkey), Illinois J. Math. 40 (1996), 194-201.
• 1-forms of the Laplacian and Riemannian submersions, Bull. Korean Math. Soc. 33 (1996), 111-113.
• The Laplace-Beltrami operators and Riemannian submersions with minimal and not totally geodesic fibers, Bull. Korean Math. Soc. 27 (1990), 39-47.
• Transverse fields preserving the transverse Ricci field of a foliation(joint with S.Yorozu), J. Korean Math. Soc. 27 (1990), 167-175.

⊙ Selected Books : 

• Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture(joint with P. Gilkey and J. Leahy), Studies in Advanced Mathematics, CRC Press (USA)1999.
• Spinors, Spectral Geometry, and Riemannian Submersions(joint with P. Gilkey and J. Leahy), Lecture Note Series 40, Seoul National University, 1998. See also EMIS Web Server.
• Geometry using GSP(joint with S. Kang and K. Kim), Kyungmoonsa, 2002.
• 3 Korean Undergraduate Text Books.

⊙ Awards, Selected talks: 

• 10th International Conference Differential Geometry and its Applications, Olomouc (Czech Republic)(2007. 8),
  - Spectral geometry of the Riemannian submersion of a compact Lie Group
• KIAS Workshop on Spectral Invariants and Related Topics , KIAS(2006. 5. 29-31) (invited speaker),
  - Eta invariants with spectral boundary conditions
• Global KMS Day(International Conderence on Mathematics), Seoul National University (2006. 10. 27-29),
  - Canonical Riemannian submersion of compact Lie group
• April 2005 : Korean Math. Soc. Meeting (Invited Speaker) 
• Jan. 2003 : AMS Special Session on Recent Advances in Riemannian and LorenzianGeometries, Baltimore (Invited Speaker) 
• 2003 : SBS Fellowship
• June 2001 : Honam University Faculty Excellence Award
• Jan. 2000 : Global Riemannian Geometry Workshop, KIAS  (Invited Speaker) 
• Aug. 1999 : Conference on Differential Geometry, Peking University (Invited Speaker) 
• June 1999 : Honam Math. Society Academic Award 
• June 1998 : Honam University Faculty Excellence Award 
• April 1998 : Korean Math. Soc. Meeting (Invited Speaker) 
• Feb. 1997 : Pacific Northwest Geometry Seminar, 1997 Winter Meeting MSRI(Berkeley), (Invited Speaker) 
• Feb. 1997 : Oregon State University, Topology- Geometry Seminar 
• Jan. 1997 : University of Oregon, Geometry-Topology Seminar 
• Aug. 1995 : 6th International Conference on Differential Geometry, Brno (Czech republic) 
• July 1994 : Colloquium on Differential Geometry, Debrecen (Hungary)  　

⊙ Research activities : 

• KIAS Summer School on Dirac and Laplace Operators, KIAS (2007.7.9-13), Organizer
  
• July 5, 2007 : Oranizer of the 4th International Workshop for Korean Women in Mathematics (Postech)
• June 20-21, 2006 : Oranizer of the 2nd International Workshop for Korean Women in Mathematics (Seoul National University)
• March. 2002 - July. 2002 : Oranizer of the 22nd Daewoo Workshop in Pure Mathematics.