Department of Mathematics
♠ Homepage : http://www.math.inha.ac.kr
Office : 5N211
Tel : +82-32-860-7620
Fax : +82-32-874-5615
1. Introduction :
The graduate program in Mathematics at Inha University is designed for education
and research in pure and applied mathematics. The department of mathematics offers
various courses on algebra, analysis, geometry and topology. It also offers courses on
applied mathematics including scientific computing, mathematical biology, combinatorics,
inverse problems, etc. The major research areas of our faculty members include
algebra, number theory, differential geometry, topology, functional analysis, partial
differential equation, mathematical biology, numerical analysis, and inverse problems.
After achieving master or Ph.D. degrees, students enter academics or industry including
finance, for which their mathematical backgrounds play a significant role. have wellprepared them. Some others pursue further work in other fields including business,
economics, computer science, engineering, and statistics.
2. Major :
Mathematics
3. Faculty Members
1) CHOE, Kwangseok (최광석)
* Office : 5N217
* Tel : +82-32-860-7627
* E-mail : kschoe@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~kschoe/
* Educational Background :
- Ph. D : Mathematics / Seoul National University / Korea
- B.S. : Mathematics / Seoul National University / Korea
Mathematics - 1
* Research Area : Semilinear elliptic PDEs
* Publications :
- Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons
gauged O(3) sigma models,
J. Differential Equations 255 (2013) 2136-2166
(with
Jongmin Han, Chang-Shou Lin and Tai-Chia Lin)
- Existence of self-dual non-topological solutions in the Chern-Simons Higgs model,
Existence of self-dual non-topological solutions in the Chern-Simons Higgs model,
Chang-Shou Lin)
-
Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation, Ann. Inst. H.
Poincare Anal. Non Lineaire 25 (2008), no. 2, 313--338 (with Namkwon Kim).
2) JEONG, Sang Tae (정상태)
* Office : 5N109
* Tel : +82-32-860-7637
* E-mail : stj@inha.ac.kr
* Homepage : http://165.246.121.134/~stj/wiki/wiki.php
* Educational Background :
- Ph. D : Number theory/ University of Texas at Austin/ USA
- B.S. : Mathematics / Korea University / Korea
* Research Area : Arithmetic of Function Fields, Applied
Algebraic Dynamics
* Publications :
-Sangtae Jeong, Two generalized abc theorems for F_q[t], JOURNAL OF NUMBER THEORY,
139 (2014) no.6, 80~90.
- Sangtae Jeong, Shift operators and two applications to F_q[[T]], JOURNAL OF NUMBER
THEORY, 139 (2014)
no. 6, 112~137.
- Sangtae Jeong and Chunlan Li, Remarks on Fermat quotient operators over function fields,
FINITE FIELDS AND THEIR APPLICATIONS,
23 (2013) no.9, 60~69.
3) JO, Tae-Chang (조태창)
* Office : 5S462
* Tel : +82-32-860-7630
* E-mail : taechang@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~taechang/
* Educational Background :
- Ph. D : Mathematics / Arizona State Univ. / USA
- B.S. : Mathematics / Seoul National University / Korea
Mathematics - 2
* Research Area : Applied Mathematics - Fluid Dynamics, Industrial Mathematics,
Mathematical Biology, Mathematical Modeling, Differential Equations, Numerical Methods
* Publications :
- Tae-Chang Jo and Wooyoung Choi, On Stabilizing the Strongly Nonlinear Internal Wave
Model,
-
Stud. in Appl. Math. 120 (2008), no. 1, 65—85.
Dieter Armbruster, Daniel E. Marthaler, Christian Ringhofer, Karl Kempf, and TaeChang Jo,
A Continuum Model for a Re-entrant Factory,
(2006), no. 5,
Operations Research 54
933—950.
- Tae-Chang Jo and Wooyoung Choi, Dynamics of Strongly Nonlinear Internal Solitary
Waves in Shallow Water, Stud. in Appl. Math. 109 (2002), 205—227.
4) JOUNG, Haewon (정해원)
* Office : 5N106
* Tel : +82-32-860-7636
* E-mail : hwjoung@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~hwjoung/
* Educational Background :
- Ph. D : Math./ The Ohio State Univ./ USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Approximation Theory
* Publications :
- Asymptotic expansions of recursion coefficients of orthogonal polynomials
truncated exponential weights,
with
Nagoya Math. J. 165 (2002).
5) KANG, Hyeonbae (강현배)
* Office : 5S436A
* Tel : +82-32-860-7622
* E-mail : hbgang@inha.ac.kr
* Homepage : http://people.math.inha.ac.kr/~hbkang/
* Educational Background :
- Ph. D : Mathematics/University of Wisconsin-Madison/ USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Inverse Problems, Partial Differential Equation
* Publications :
- H. Ammari, H. Kang, H. Lee, and M. Lim, Enhancement of Near Cloaking Using
Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem,
Mathematics - 3
Comm Math. Phys., 317 (2013), 253-266.
H. Ammari, H. Kang, H. Lee, and M. Lim, Enhancement of near-cloaking. Part II: the
Helmholtz equation, Comm Math. Phys., 317 (2013), 485--502.
- H. Ammri, J. Garnier, W. Jing, H. Kang, M. Lim, K. Solna, and H. Wang, Mathematical and
statistical methods for multistatic imaging, Lecture Notes in Math. 2098, Springer, 2013.
6) KIM, Do Wan (김도완)
* Office : 5S435C
* Tel : +82-32-860-7639
* E-mail : dokim@inha.ac.kr
* Homepage : http://longlasting.inha.ac.kr
* Educational Background :
- Ph. D : Mathematics / KAIST / Korea
- B.S. : Mathematics/ Seoul National University / Korea
* Research Area : Numerical Analysis, Computational Fluid Dynamics, Numerical PDE
* Publications:
- W. Lee and D.W. Kim, Localized Axial Green's Function Method for the ConvectionDiffusion Equations in Arbitrary Domains, Journal of Computational Physics, Vol. 275,
390-414 (2014)
- S. Jun and D.W. Kim, Axial Green's Function Method for Steady Stokes Flow in
Geometrically Complex Domains, Journal of Computational Physics, Vol. 230, 20952124 (2011)
- D. W. Kim, S.-K. Park, and S. Jun, Axial Green's function method for multi-dimensional
elliptic boundary value problems, International Journal for Numerical Methods in
Engineering, Vol. 76, 697-726 (2008)
7) KIM, Jaemoon (김재문)
* Office : 5N104
* Tel : +82-32-860-7629
* E-mail : jmkim@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~jmkim/
* Educational Background :
- Ph. D : Number theory/ Ohio State university/ USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : number theory, Iwasawa theory
* Publications :
Mathematics - 4
- Class numbers of real quadratic fields, Bull. Austral. Math. Soc. 57 (1998), 261—274.
- Circular Units in the Z_p - extensions of real abelian fields of prime conductor, Tohoku
Math. J. 51 (1999), 305—313.
- On the Iwasawa λ-invariants of real quadratic fields, Acta Arithmetica, XCV1.2 (2000),
167--174.
8) KIM, Mi-Young (김미영)
* Office : 5N220
* Tel : +82-32-860-7633
* E-mail : mikim@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~mikim/
* Educational Background :
- Ph. D : Applied Mathematics / Purdue University/ USA
- B.S. : Mathematics / Yonsei university / Korea
* Research Area : Numerical Analysis, Mathematical Biology
* Publications :
- Discontinuous Galerkin methods for a model of population dynamics with unbounded
mortality, SIAM J. Sci. Comp. 27 (2006), 1371—1393.
- A collocation method for the Gurtin--MacCamy equation with finite life-span, SIAM J.
Numer. Anal. 39 (2003), no. 6, 1914--1937.
- Optimal Harvesting for periodic age-dependent population dynamics, SIAM J. Appl. Math.
58 (1998), no. 5, 1648--1666.
9) KO, Kwan Seok (고관석)
* Office : 5N210
* Tel : +82-32-860-7628
* E-mail : ksko@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~ksko/
* Educational Background :
- Ph. D : Differential Geometry/ University of Southern California/ USA
- B.S. : Mathematics / Yonsei university / Korea
* Research Area : Differential Geometry
* Publications :
- Compact Riemannian manifolds with positive sectional curvature, Comm. Korean Math.
Soc. 20 (2005), no. 2, 195—207.
- On the life and mathematical works of H. Hopf,
Korean Soc.
History of Math.
(2005)
Mathematics - 5
10) KWON, Hee-Dae (권희대)
* Office : 5N107
* Tel : +82-32-860-7621
* E-mail : hdkwon@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~hdkwon/
* Educational Background :
- Ph. D : Applied Mathematics / Iowa State University / USA
- B.S. : Mathematics / Pusan National University / Korea.
* Research Area : Mathematical Biology, Optimal Control Theory, Numerical Analysis
* Publications :
- Analysis and approximations of a terminal-state optimal control problem constrained by
semilinear parabolic PDEs,
Int. J. Numer. Anal. Model. 4 (2007), no. 3-4, 713--728.
- A state-dependent Riccati equation-based estimator approach for HIV feedback control,
Optimal Control Appl. Methods 27 (2006), no. 2, 93--121.
- HIV dynamics: modeling, data analysis, and optimal treatment protocols, J. Comput. Appl.
Math. 184 (2005), no. 1, 10--49.
11) LEE, Hyundae (이현대)
* Office : 5S435D
* Tel : +82-32-860-7623
* E-mail : hdlee@inha.ac.kr
* Homepage : None
* Educational Background :
- Ph. D : Applied mathematics / Seoul National University / Korea
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Inverse problems, Spectral analysis
* Publications :
-
H. Ammari, H. Kang, H. Lee, J. Lee, and M. Lim, Optimal Estimates for the Electrical
Field in Two Dimensions, J. Math. Pures Appl. 88(2007), 307-324
-
H. Ammari, H. Kang, and H. Lee, Asymptotic Expansions for Eigenvalues of the
Lam\'{e} System in the Presence of Small Inclusions, Comm. Part. Diff. Eq. 32(2007),
1715-1736.
-
H. Ammari, P. Garapon, H. Kang, and H. Lee, A Method of Biological Tissues Elasticity
Reconstruction Using Magnetic Resonance Elastography Measurements, Quarterly of
Applied Mathematics 66 (2008), 139-175.
Mathematics - 6
12) LEE, Yoonweon (이윤원)
* Office : 5S468
* Tel : +82-32-860-7635
* E-mail : ywonlee@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~ywonlee/
* Educational Background :
- Ph. D : Spectral Geometry / The Ohio State University / USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Differential Geometry, Spectral Geometry
* Publications :
- Burghelea-Friedlander-Kappeler's gluing formula for the zeta-determinant and its
applications to the adiabatic decompositions of the zeta-determinant and the analytic
torsion, Transactions of the American Mathematical Society 355 (2003), no. 10, 4093—
4110.
- Asymptotic expansion of the zeta-determinants of Dirac Laplacians on a compact
manifold with boundary,
J. Geom. Anal. 16 (2006), no. 4, 633—660.
- The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, selfadjoint Grassmannian, J. Geom. Phys. 57 (2007), 1951—1976.
13) NAKAMURA, Gen (나까무라 겐)
* Office : 5N300
* Tel : +82-32-860-7638
* E-mail : nakamuragenn@gmail.com
* Homepage : None
* Educational Background :
- Dr. Sci.: Analysis / Tokyo Metropolitan University/ Japan
- M.S. : Analysis / Tokyo Metropolitan University/ Japan
- B.S. : Natural Science/International Christian University/Japan
* Research Area : Inverse problems, Partial differential equations
* Publications :
- Honda, Naofumi; Nakamura, Gen; Sini, Mourad; Analytic extension and reconstruction of
obstacles from few measurements for elliptic second order operators. Mathematische
Annalen (2012), DOI: 10.1007/s00208-012-0786-0.
- Kim, Kyoungsun; Nakamura, Gen; Sini, Mourad; The Green function of the interior
transmission problem and its applications, Inverse Problems and Imaging, 6 (2012), 487-
Mathematics - 7
521.
- Heck, Horst; Nakamura, Gen; Wang, Haibing; Linear sampling method for identifying
cavities in a heat conductor, Inverse Problems, 28 (2012), No. 7, 075014.
- Ching-Lung Lin and Gen Nakamura, Unique continuation property for the anomalous
diffusion and its application, Journal of Differential Equations, Online publication complete:
7-FEB-2013, DOI information: 10.1016/j.jde.2013.01.039
14) SHIN, Heesung (신희성)
* Office : 5S168
* Tel : +82-32-860-7625
* E-mail : shin@inha.ac.kr
* Homepage : http://cal.inha.ac.kr/shin/
* Educational Background :
- Ph.D. : Mathematical Sciences (Combinatorics) / KAIST / Korea
- B.S. : Mathematics / KAIST / Korea
* Research Area : Combinatorics, q-series and special functions
* Publications :
- (with Seunghyun Seo) A refinement for p-ary labeled trees, Korean Journal of Mathematics,
21(4), 495-502, 2013.
- (with Jiang Zeng) The symmetric and unimodal expansion of Eulerian polynomials via
continued fractions, European Journal of Combinatorics, 33(2), 111-127, 2012.
- (with Seunghyun Seo) On the enumeration of rooted trees with fixed size of maximal
decreasing trees, Discrete Mathematics, 312(2), 419-426, 2012.
15) SONG, Yongjin (송용진)
* Office : 5N221
* Tel : +82-32-860-7631
* E-mail : yjsong@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~yjsong/
* Educational Background :
- Ph. D : Topology / Ohio State University/ USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Algebraic K-Theory, Loop spaces, Mapping class group, Braid group,
Category theory
* Publications :
- Braids, mapping class groups, and categorical delooping, Math. Ann. (2007), 377--393.
Mathematics - 8
- Splitting for the braid-permutation group, J. Korean Math. Soc. (2003), 179--193.
- The braidings of mapping class group and loop spaces, Tohoku Math. J. (2000), 309--319.
16) YANG, Jae-Hyun (양재현)
* Office : 5N218
* Tel : +82-32-860-7626
* E-mail : jhyang@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~jhyang/
* Educational Background :
- Ph. D : Geometry and Automorphic Forms / University of California, Berkeley / USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Automorphic Forms, Representation Theory, Algebraic Geometry
* Publications :
- Singular Jacobi Forms, Trans. Amer. Math. Soc. 347 (1995), no. 6, 2041--2049.
- Lattice representations of Heisenberg groups, Math. Ann. 317 (2000), 309--323.
- Invariant metrics and Laplacians on Siegel-Jacobi space, J. Number Theory 127 (2007),
83--102.
17) YIE, Ik Kwon (이익권)
* Office : 5N214
* Tel : +82-32-860-7634
* E-mail : ikyie@inha.ac.kr
* Homepage : http://lecture.math.inha.ac.kr/~ikyie/
* Educational Background :
- Ph. D : Galois theory/ Purdue University/ USA
- B.S. : Mathematics / Seoul National University / Korea
* Research Area : Galois theory, Cryptography
* Publications :
- Galois theory of Mathieu groups in characteristic two, J. Korean Math. Soc. 44 (2007),
no. 1, 199—210.
- Small mathieu group coverings of the affine line in characteristic two, with Abhyankar,
Proc. of AMS 123 (1995).
- A correspondece of certain irreducible polynomials over finite fields, with Kitae Kim,
Finite Fields and Their Applications, 2012
Mathematics - 9
4. Course List
Major
Course
Code
Credit
Taught
in English
Mathematics
MTH5101
Complex Analysis Ⅰ
3
Flexible
Mathematics
MTH5002
Real Analysis Ⅰ
3
Flexible
Mathematics
MTH5003
Ordinary Differential equations
3
Flexible
Mathematics
MTH5004
Linear Algebra
3
Flexible
Mathematics
MTH5005
General Topology
3
Flexible
Mathematics
MTH5006
Numerical Analysis
3
Flexible
Mathematics
MTH6001
Numerical Linear Algebra
3
Flexible
Mathematics
MTH6002
Methods of Applied Mathematics Ⅰ
3
Flexible
Mathematics
MTH6003
Methods of Applied Mathematics Ⅱ
3
Flexible
Mathematics
MTH6004
Algebraic Topology Ⅰ
3
Flexible
Mathematics
MTH6006
Differential Geometry Ⅰ
3
Flexible
Mathematics
MTH6007
Algebra Ⅰ
3
Flexible
Mathematics
MTH6009
Commutative Algebra Ⅰ
3
Flexible
Mathematics
MTH6011
Complex Analysis Ⅱ
3
Flexible
Mathematics
MTH6012
Real Analysis Ⅱ
3
Flexible
Mathematics
MTH6013
Partial Differential equations Ⅰ
3
Flexible
Mathematics
MTH6014
Functional Analysis
3
Flexible
Mathematics
MTH6018
Geometric topology
3
Flexible
Mathematics
MTH6019
Generatingfunctionology
3
Flexible
Mathematics
MTH7001
Partial Differential equations Ⅱ
3
Flexible
Mathematics
MTH7002
Topics in Analysis
3
Flexible
Mathematics
MTH7004
Number Theory Ⅱ
3
Flexible
Mathematics
MTH7005
Commutative Algebra Ⅱ
3
Flexible
Mathematics
MTH7014
Lie Algebra
3
Flexible
Mathematics
MTH7015
Topics in Differential Geometry
3
Flexible
Mathematics
MTH7019
Numerical Methods for Partial
3
Flexible
3
Flexible
Course
Differential equations Ⅰ
Mathematics
MTH7020
Numerical Methods for Partial
Differential equations Ⅱ
Mathematics
MTH7021
Mathematical Biology
3
Flexible
Mathematics
MTH7023
Topics in Numerical Analysis
3
Flexible
Mathematics
MTH7025
Enumerative Combinatorics
3
Flexible
Mathematics - 10
5. Others
* * 3 Laboratories in Mathematics Department
1) Applied Mathematics Lab.
* Lab address :
5N202A
* Tel : +82-32-860-8820
2) Applied Mathematics Lab.
* Lab address :
5N202B
* Tel : +82-32-860-8819
3) Numerical Analysis Lab.
* Lab address :
5N216A
* Tel : +82-32-860-8648
Mathematics - 11