Bumsik Kim
Curriculum Vitae
University of Connecticut
Department of Mathematics,
196 Auditorium Rd, rm 335,
Storrs, CT, 06269
Citizenship : South Korea
Marital Status : Married
bumsik.kim@uconn.edu
http://www.math.uconn.edu/~bkim/
Position
Postdoctoral position at the University of Connecticut, 2015 - current
Education
Ph.D. Mathematics, Purdue University,
Advisor : Fabrice Baudoin
B.S. Mathematics, Seoul National University,
Research Interests
Analysis for sub-Laplacians on functions and differential forms, Poincaré-Sobolev inequalities on subRiemannian manifolds with Baudoin-Garofalo curvature bounds.
Main tools and techniques are related to : Partial Differential equation, Harmonic Analysis, Heat Kernel
Analysis, Stochastic Differential Equation, Malliavin Calculus, Riemannian submersions and foliations.
Publications
(With Fabrice Baudoin and Jing Wang) Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves, (2014), to appear in Communications in
Analysis and Geometry, arXiv
(With Fabrice Baudoin) The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse
symmetries, (2014), to appear in Journal of Geometric Analysis, arXiv
Poincaré inequality and the uniqueness of solutions for the heat equation associated with subelliptic
diffusion operators, (2013), submitted, arXiv
(With Fabrice Baudoin) Sobolev, Poincaré and isoperimetric inequalities for subelliptic diffusion operators
satisfying a generalized curvature dimension inequality, Revista Matemática Iberoamericana, 30, (2014),
no.1, 109-131, link
Talks
Sobolev, Poincaré and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized
curvature dimension inequality, Probability Seminar, Purdue University, US, Apr 2012
Sobolev, Poincaré and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized
curvature dimension inequality, KIAS, Korea, Jun 2012
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Poincaré inequality and the uniqueness of solutions for the heat equation on Riemannian manifolds and
sub-Riemannian manifolds, Student Colloquium, Purdue University, US, Apr 2013
Poincaré inequality and the uniqueness of solutions for the subelliptic heat equation, PDE seminar,
KAIST, Korea, May 2013
Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries, Geometric and
Singular analysis, Potsdam University, Germany, Mar 2014
Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries, Special Session
on Analysis and Topology in Special Geometries, University of New Mexico, US, Apr 2014
Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries, KIAS, Korea,
May 2014
Lichnerowicz-Obata theorem on sub-Riemannian manifolds - Riemannian foliations with totally geodesic
leaves, IHP, France, Oct 2014
Curvature dimension inequalities on Riemannian manifolds and sub-Riemannian manifolds, PDE and
Differential Geometry Seminar, University of Connecticut, US, Sep 2015
Poincaré inequalities and uniqueness of solutions for the subelliptic heat equation, Analysis and Probability Seminar, University of Connecticut, US, Nov 2015
Teaching Experiences
In 2009-2013 at Purdue University :
MA153 -Algebra And Trigonometry (Lecturer),
MA261 -Multivariate Calculus (Recitation instructor),
MA162 -Plane Analytic Geometry And Calculus II (Recitation instructor),
MA173 -Calculus And Analytic Geometry II (Recitation instructor).
In 2003 and 2007 at Seoul National University :
Calculus I (Teaching Assistant).
Miscellaneous
Silver Medal, 1997 International Mathematical Olympiad, Argentina, 1997
College Student Scholarship, Korea foundation for Advanced Studies, 1999-2003
Grants For The Encouragement Of Research, Korea Science and Engineering Foundation, 1999-2003
(Military Service) Weather/Flight Operation support Officer, Lieutenant, Republic of Korea Air force,
2003-2007
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