Professor of Mathematics

Yonsei University

Department of Mathematics

Yonsei University

Seoul 120-749, Korea

Phone: (02) 2123-2588

Fax: (02) 392-6634

Email: jikim7030@yonsei.ac.kr

Education and Research

2008-, Yonsei University: Associate Professor

2002-2008 Chung-Ang University: Assistant Professor, Associate Professor

2001-2002 University of Missouri at Columbia: Post Doctoral Fellow

2000-2001 KIAS at Seoul: Research Fellow

1993-1998 Math Department of University of Wisconsin at Madison: Ph. D. Degree (Major: Harmonic Analysis, Advisor: Andreas Seeger)

Research Interest

Classical Harmonic Analysis: Singular Radon transforms, Oscillatory Integrals, Singular integrals on the Heisenberg group.

**Recent Papers [2008-]**[1] Multiple-Hilbert transforms associated with polynomials. Memoir of AMS 237 (2015), no 1119, 1-124.

[2] Nikodym maximal functions associated with variable planes in R^3, Integral Equations Operator Thory 73 (2012), 455-480.

[10] Maximal average along variable lines. Israel J. Math. 167 (2008), 1-13.

**Papers [2000-2007]**

[1] Weak type estimates for cone type multipliers associated with a convex polygon. *Indiana Univ. Math. J.* 56 (2007), 1827-1869. (with Hong. Sunggeum, Yang. Chan Woo)

[2] Sharp L^2 bound of maximal Hilbert transforms over arbitrary sets of directions. *J. Math. Anal. Appl.* 335 (2007), 56-63.

[3] Riesz means associated with convex polygons in R^2 *J. Math. Anal. Appl.* 331 (2007), 377-395. (with Hong. Sunggeum, Yang. Chan Woo)

[4] Atomic decomposition on Hardy-Sobolev spaces. *Studia Math.* 177 (2006), 25-42. (with Cho, Yong-Kum)

[5] Singular Radon transforms along odd curves on the Heisenberg group. *J. Geom. Anal.* 15 (2005), 669-684.

[6] Fractional integral along homogeneous curves in the Heisenberg group. *J. Korean Math. Soc.* 42 (2005), 499-516.

[7] Lacunary directional maximal function on the Heisenberg group. *Math. Res. Lett.* 11 (2004), 599-613.

[8] L^P estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group. *Duke Math. J.* 114 (2002), 555-593.

[9] Hilbert transforms along curves in the Heisenberg group. *Proc. London Math. Soc. (3)* 80 (2000), 611-642.