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[PREV [CURR [NEXT  Nov., 10. 2000

61. "A survey on Majorizations and its preservers ", (with You- Ho Lee), To appear in Trends in Math., ICMS, (2000)

60. "Weights of Idempotent Matrices", (with L. B. Beasley and Se-Won Park), To appear in Trends in Math., ICMS, (2000)

59."A survey on the matrix completion problem", (with Han-Guk Seol), To appear in Trends in Math., ICMS, (2000)

56.  "A Representation and Some Properties for $k$-Fibonacci Sequences" (with Jin-Soo Kim, Gwang-Yeon Lee), To appear in Missori Jour. of Math. Science (2000)

55. "Representations of k-generalized Fibonacci numbers", (with Gwang-Yeon Lee, Jin-Soo Kim) , To appear in Fibonacci Quarterly (2000)

54. "The Binet Formula and Representations of $k$-generalized Fibonacci Numbers" (with G.-Y. Lee, J.-S. Kim, H.-K. Shin), To appear in Fibonacci Quarterly (2000) .

51. "Nonnegavity of reducible sign idempotent matrices" (with S.-W. Park and Seok-Zun Song), Korean Jour. of Comp. and Appl. Math  Vol. 7, No. 2, May, pp.665-671, (2000)

50.     "The existence theorem of orthogonal  matrices with p nonzero entries ",  Jour of KSIAM. Vol. 4, No. 1, 109-119 (2000)

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[1] 1 757 591 Kim, Jin-Soo; Lee, Sang-Gu; Lee, Gwang-Yeon; Song, Seok-Zun On the spectral norm and eigenvalues of $W\sb c$-companion matrices. Int. J. Appl. Math. 2 (2000), no. 9, 1061--1072. 15A18
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY]
[2] 1 757 158 Beasley, LeRoy B.; Song, Seok-Zun; Lee, Sang-Gu Linear operators that preserve zero-term rank of Boolean matrices. J. Korean Math. Soc. 36 (1999), no. 6, 1181--1190. 15A03 (15A04)
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY]
[3] 2000k:15046 Park, S.-W.; Seol, H.-G.; Lee, S.-G. A characterization of minimal semipositivity of sign pattern matrices. Commun. Korean Math. Soc. 13 (1998), no. 3, 465--473. 15A48
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY]
[4] 2000j:35278 Ham, YoonMee; Lee, Sang-Gu A Hopf bifurcation of interfaces in a Dirichlet problem. Southwest J. Pure Appl. Math. 1999, no. 2, 47--60 (electronic). (Reviewer: Vladimir Grebenev) 35R35 (34C23 35B32 37G15 37L10)
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY] [To journal home page]
[5] 2000i:15005 Beasley, LeRoy B.; Lee, Sang-Gu Linear operators preserving multivariate majorization. Linear Algebra Appl. 304 (2000), no. 1-3, 141--159. (Reviewer: Peter \v Semrl) 15A04 (15A21 15A30)
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY] [ORIGINAL ARTICLE]
[6] 2000f:15002 Beasley, LeRoy B.; Lee, Sang-Gu; Lee, You-Ho Linear operators strongly preserving multivariate majorization with $T(I)=I$. Kyungpook Math. J. 39 (1999), no. 1, 191--194. (Reviewer: Chi-Kwong Li) 15A04 (15A21 15A30)
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[7] 99h:15023 Cheon, G.-S.; Johnson, C. R.; Lee, S.-G.; Pribble, E. J. The possible numbers of zeros in an orthogonal matrix. Electron. J. Linear Algebra 5 (1999), 19--23 (electronic). 15A57
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[8] 98i:15006 Lee, Sang-Gu; Park, Se-Won; Seol, Han-Guk Linear operators strongly preserving matrices whose sign patterns require the Perron property. Linear Algebra Appl. 269 (1998), 53--63. (Reviewer: N. J. Pullman) 15A04
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY] [ORIGINAL ARTICLE]
[9] 98c:15051 Lee, Sang-Gu; Park, Se-Won The allowance of idempotent of sign pattern matrices. Commun. Korean Math. Soc. 10 (1995), no. 3, 561--573. (Reviewer: Jaroslav Zemánek) 15A30
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[10] 98a:15004 Lee, G.-Y.; Lee, S.-G.; Song, S.-Z. Linear operators that strongly preserves [preserve] the sign-central matrices. Bull. Korean Math. Soc. 34 (1997), no. 1, 51--61. (Reviewer: Walter S. Sizer) 15A04 (15A48)
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY]
[11] 97h:15001 Beasley, LeRoy B.; Lee, Gwang-Yeon; Lee, Sang-Gu Linear transformations that preserve the assignment. II. J. Korean Math. Soc. 33 (1996), no. 3, 527--539. (Reviewer: D. J. Hartfiel) 15A04 (15A15)
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY]
[12] 97g:15026 Lee, G.-Y.; Lee, S.-G.; Shin, H.-G. On the $k$-generalized Fibonacci matrix $Q\sb k$. Linear Algebra Appl. 251 (1997), 73--88. (Reviewer: J. L. Brenner) 15A57 (60C05)
Review in linked PDF | Add citation to clipboard | [ORDER DOCUMENT DELIVERY] [ORIGINAL ARTICLE]
[13] 96k:15001 Song, Seok-Zun; Lee, Sang-Gu Column ranks and their preservers of general Boolean matrices. J. Korean Math. Soc. 32 (1995), no. 3, 531--540. (Reviewer: N. J. Pullman) 15A03 (15A33)
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[14] 96f:11025 Lee, Gwang-Yeon; Lee, Sang-Gu A note on generalized Fibonacci numbers. Fibonacci Quart. 33 (1995), no. 3, 273--278. (Reviewer: Shiro Ando) 11B39 (15A15 15A36)
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[15] 96a:16051 Beasley, LeRoy B.; Lee, Sang-Gu Linear operators strongly preserving $r$-cyclic matrices over semirings. Linear and Multilinear Algebra 35 (1993), no. 3-4, 325--337. (Reviewer: Chong Guang Cao) 16Y60 (15A33)
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[16] 96a:05029 Beasley, LeRoy B.; Lee, Sang-Gu Linear $p(X)=X$ preservers over general Boolean semirings. J. Korean Math. Soc. 31 (1994), no. 3, 353--365. (Reviewer: S. Lajos) 05B20 (15A24 15A33)
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[17] 95i:15007 Beasley, LeRoy B.; Lee, Gwang-Yeon; Lee, Sang-Gu Linear transformations that preserve the assignment. Proceedings of the 3rd ILAS Conference (Pensacola, FL, 1993). Linear Algebra Appl. 212/213 (1994), 387--395. (Reviewer: D. J. Hartfiel) 15A15
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[18] 93a:15029 Beasley, LeRoy B.; Lee, Sang-Gu Linear operators strongly preserving $r$-potent matrices over semirings. Directions in matrix theory (Auburn, AL, 1990). Linear Algebra Appl. 162/164 (1992), 589--599. (Reviewer: Walter S. Sizer) 15A99 (16Y60)
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[19] 1 703 450 Beasley, LeRoy B.; Lee, Sang-Gu; Lee, You-Ho Linear operators strongly preserving multivariate majorization. Proceedings of the Prague Mathematical Conference 1996, 19--22, Icaris, Prague, 199?. 15A04 (15A21)
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[PREV [CURR [NEXT

Copyright American Mathematical Society 2000   

 

(Preprints)

58. Submitted to Com.-KMS  # 00-**,  "A Characterization of Strong Preservers of Matrix Majorization "(2000)

57. Submitted to Com. KMS   # 00-25,  "Resolution of a conjecture on strong preservers of Multivariate Majorization" (2000)

59. "Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices" (with Gwang-Yeon Lee and Jin-Soo Kim)

  1. "Sign Idempotent matrices" (with L. Beasley), Preprint.
  2. " Idempotence of (1, -1) matrices " (with L. Beasley and S.W. Park),
  3. "Sign Nonsingularity and it's related algorithm for the determination of L-matrix" (with H.G. Seol and Y.H. Kim), J. of Nat. Sci. SKKU. Vol. 48, 15-29, (1997)
  4. "Linear Algebra and our softwares" (with G.S.Cheon),   In preparation.
  5. "Complex positive definite completion" (with H.G. Seol) In Prep.
  6. " A characterization of sign idempotent matrices with full sign pattern " (with L. Beasley and S.W. Park),
  7. "Matrix Theory: It's Old days and Present," (with O.K.Kang), In prep.

(Scholarly Papers)" 

53. "Linear Algebra with Advanced Technique", (with Eun-Tae Kim and Kyung-Hun Chung), J. Bas. Sci., Sungkyunkwan Univ. Vol. 50, (1999), pp.23-51.

52. "A construction of (0,1)-matrices with prescribed permanent using binary number system of integers (with Han-Guk Seol), J. Bas. Sci., Sungkyunkwan Univ. Vol. 50, pp.17-22., (1999)

  1. On a sign pattern and it's related algorithm for L-matrix " (with H.G. Seol and Y.H. Kim), J. KSIAM. Vol.3, No.1, 43-53, 1999.
  2. "On an algorithm for the determination of L-matrix" (with H.G. Seol)  Proc. Workshops in Pure Math. V. 16, part I (1997) pp.165-178.
  3. "Sign Nonsingularity and it's related algorithm for the determination of L-matrix" (with H.G. Seol and Y.H. Kim), J. of Nat. Sci. SKKU. Vol. 48, 15-29, (1997)
  4. "Linear Operators Strongly Preserving Multivariate Majorization " (with Y.H. Lee) Proc. Workshops in Pure Math. V. 17, part I (1997) pp.113-118.
  5. "Sign patterns with minimal semipositivity and inverse nonnegativity" (with H.K. Seol and S.W. Park),  Proc. Workshops in Pure Math. V. 17, part I (1997) pp.155-164.
  6. "Differential Operators that Preserve Differential Equations" (with S.Z.Song),  J. of Nat. Sci. SungKyunKwan Univ. V.47 No.2 pp. 1-9 (1996)
  7. "A Characterization of Strong Preservers on Multivariate Majorization", Proc. of InHa Symposium on Pure and appl. Math.,June , pp.17-30  (1997)
  8. "Linear operators strongly preserving multivariate majorization"(with Y.H. Lee), J. of Nat. Sci. SungKyunKwan Univ. V.47 No.1 pp. 1-9 (1995)
  9. "Linear Operators strongly preserving matrices whose sign-pattern require the Perron property" (with S.W. Park and H.G. Seol), Proc. Workshops in Pure Math. V. 16, part I , pp.213-220 (1996)
  10. "For the positive definite sign pattern matrices" (with S.W. Park) J. of Nat. Sci. SungKyunKwan Univ. V.45 No.2 pp.63-68 (1994)
  11. "For inverse sign-pattern matrices" (with S.W. Park, G.H. Kim) J. of Nat. Sci. SungKyunKwan Univ. V.46 No.1 pp.57-62 (1995)
  12. "Evaluation on the structure of expressways of Korea using transportation matrix" (with G.Y. Lee) J. of Nat. Sci.     SungKyunKwan Univ. V.45 No.1, 33-43. (1994)
  13. "Linear Transformations that preserve the Assignment on nonnegative reals" (with G.Y. Lee), Proc. Workshops in Pure Math V. 13, part I , pp.137-146 (1993)
  14. "Sensitivity analysis on Linear Programming algorithm", J. Nat. Sci. SungKyunKwan Univ. V.44, No.2, 47-55. (1993)
  15. "A Linearization of a Free Boundary problem with the generalized Mckean kinetics" (with Y.M.Ham), J. of Nat. Sci. SungKyunKwan Univ. V.44 No. 2, 17-24.(1993)
  16. "On a Question of Kostin" (with S.W.Park), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 71-74. (1993)
  17. "Equivalent Factors in Gaussian Elimination and Conjugate direction Method" (with Y.H. Lee and Y.M. Ham), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 61-69.(1993)
  18. "A Proof on a Simpler Construction of the Jordan Canonical Form", J. Nat. Sci. Sung Kyun Kwan Univ. V.43, No 1, 43-46. (1992)
  19. "Linear operators strongly preserving polynomial equations over antinegative semirings ", Ph.D. Dissertation, Utah State University, 1991
  20. "On the generalization of the Gershgorin theorem", M.S. thesis, Utah State University, 1987

   
  Abstract and  Dvi (or PDF) file of  Original papers



Grants, Awards, Honors, Prizes, Etc


Papers Presented At Professional Meetings

49. 2000. 10. 20-22. KMS Fall meeting (연세대),  "Equivalence of linear preservers on multivariate and directional majorization"

48. 2000. 10. 20-22. KMS Fall meeting (연세대), "Matrix decomposition and image processing via Mathematica"(with jung-Mo Yang, Duk-Sun Kim)

47. 2000. 10. 20-22. KMS Fall meeting (연세대), "Use of Technologi in Linear Algebra ", (with Eun-Tae Kim and Kyung-Hun Chung)

46. 2000. 4. 22. The 2nd Korean CMT Meeting (경북대), "Preservers of multivariate and on matrix majorizations"

45. 2000. 4. 22. KMS Spring meeting (포항공대), "Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices" (with Gwang-Yeon Lee and Jin-Soo Kim)

44. 2000. 4. 22. KMS Spring meeting (포항공대), "On linear preservers of several multivariate majorization".

43. YanBian University  Visit, Dec.1999, (중국, 연변대)"On Linear Preserver problems"

42. 1999. 10. 22-23. KMS Fall meeting (원광대), "Linear operators preserving multivariate majorization", (with L. Beasley)

41. 1999. 10. 22-23. KMS Fall meeting (원광대), "On the spectral norm and eigenvalues of W_ c-companion matrices. (with Jin-Soo Kim, Gwang-Yeon Lee, Seok-Zun Song)

  1. The 7th International Linear Algebra Society Conference, Madison, Wisconsin, June 1-7 1998."Sign pattern matrices and it's related algorithm for the determination of L-matrix" (with H.G. Seol)."
  2. " Web Based Instruction of LA & ATLAST Project", 1998 KMS Fall meeting, 1998, 8. 27-29
  3. "Algorithms for the determination of L-matrix", 1998 KMS Fall Meeting, 1998, 8. 27-29
  4. Univ. of Seoul,  March 1998, 수학 교육과 연구에서 소프트웨어
  5. Utah State University ,Oct.  15 1998,  Strong Preservers of Perron property.
  6. The College of William & Mary, Nov. 21 1998, On a Fibonacci matrices.   1998
  7. InHa University Symposium, A Characterization of Strong Preservers on  Multivariate Majorization, 1997. 6. 20.
  8. Invited talk at Ajou University, Suwon, May 28, 1998
    "On Qualitative Matrix Theory"
  9. Invited talk, International conference on Combinatorial Matrix Theory, "On the generalized Fibanacci Matrices", Changwon, Korea, Aug. 11-14, 1999
  10. Combinatorial Matrix Theory Mini symposium, "Fibonacci sequences and matrices", Logan, UT, May 5-8, 1999
  11. Colloquium talk, "Generalized Fibonacci sequences", The College of William & Mary, Williamsburg, VA, Nov. 21, 1998
  12. Invited talk, "Perron property Preservers of Sign Pattern Matrices", Utah State University, Oct. 13, 1998
  1. 중동고수학연구반초청강연, Nov. 15, 1997
    "행렬이론의 역사와우리학생의역할"
  2. Fall meeting ofthe Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Introduction on Korean version of linear algebra practice program" (with H.G.Shin)
  3. Fall meeting of the Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Idempotency on {1,-1}-matrices" (with S.W. Park)
  4. DaeWoo PureMathematics Workshop, Ajou University, Suwon, July 8. 1997.
    "Linear preserver problems"
  5. Regionalof the Korean Mathematical Society (Kyonggi-KangWon), InHa Univ., InChon, June 20-21, 1997
    "ATLAST Project : Education and Researches with Advanced Technique"
  6. Invited talk at Coll.of Sci. University of Suwon, April 10, 1997.
    "Matrix Theory: It's Old days and Present,
  7. Springmeeting of the Korean Mathematical Society, KyungHee Univ., Seoul,April 26, 1997
    "On an algorithm for the determination of L-matrix" (with H.K. Seol)
  8. "MultivariateMajorization strongly preserving linear operators on matrices" (with Y.H.Lee and L.B.Beasley), July 8-12, 1996
    Prague Mathematical Conference 1996, Czech Republic
  9. Fall meeting ofthe Korean Mathematical Society, Seoul Nat. Univ., Seoul,Oct. 26-27, 1996
    "Sign r-potent and sign-central matrices" (with G.Y. Lee)
  10. Fall meeting of the Korean Mathematical Society, Seoul Nat. Univ., Seoul, Oct. 26-27, 1996
    "Linear operators strongly preserving multivariate majorization" (with Y.H. Lee)
  11. International Workshopon Numerical Range and Numerical Radius, Hokkaido University, Sapporo, Hokkaido, Japan, Aug 5-10 1996.
    "Linear operators strongly preserving matrices whose sign-pattern require the Perron property."
  12. DaeWooPure Mathematics Workshop, HanRim University, ChoonCheon,
    "Linear operators strongly preserving the sign require Perron property matrices."
  13. Springmeeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Internet in Mathematics Research and Education"
  14. Springmeeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Sign patterns with minimal semipositivity and inverse nonnegativity" (with H.K. Seol and S.W. Park)
  15. Fall meeting of the Korean Mathematical Society, Pusan Nat. Univ., Pusan, Oct. 15-16, 1995
    "Sign Pattern Matrices". (with S.W. Park)
  16. Operatortheory and Matrix theory Symposium, SungKyunKwan Univ. Suwon,June 13-14 1994,
    "Differential operator preservers" (with Y. M. Han)
  17. Springmeeting of the Korean Mathematical Society, KAIST, Taejon, April, 1994,
    "Linear transformations that preserves Assignment II" (with G.Y. Lee)
  18. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "The Allowance of Idempotent of Sign Pattern Matrices". (with S.W. Park)
  19. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "On Generalized Fibonacci Numbers".
  20. DaeWooPure Mathematics Workshop, Postech, Pohang, June 1993.
    "Linear transformations that preserves the Assignment on nonnegative matrices." (with G.Y. Lee)
  21. DaeWooPure Mathematics Workshop, Postech, Pohang, June 1993.
    "Linear Algebra and Linear preserver problems"
  22. Invitedtalk at BSRI of Cheju National University, April 1993.
    "On Linear preserver problems"
  23. The third International Linear Algebra Society Conference, Pensacola, Florida,March 17-20 1993.
    "Linear transformation that preserve the assignment."
  24. Springmeeting of the Korean Mathematical Society, Seoul National Univ., Apr. 24-25, 1992
    "Linear preservers over general Boolean semirings.
  25. Fall meeting of the Korean Mathematical Society, KangWon Nat. Univ., Oct. 18-19, 1991
    "Linear Operators strongly preserving the polynomial equation p(X) = X over antinegative semirings.
  26. Math.Asso. of America regional meeting, Rexburg, Idaho, April 1. 1991
    "Linear operators strongly preserving polynomials over semirings."
  27. Math.Asso. of America regional meeting, Cedar City, Utah, April 6. 1990
    "Linear operators strongly preserving r-potent and r-cyclic matrices over semirings."
  28. The 2nd International Linear Algebra Society Conference, Auburn, Alabama,March 1990.
    "Linear operators strongly preserving r-potent matrices over semirings."

 

Professional Memberships


Professional Activities

 


Scholarly Articles 과  연구보고서

13. 국립영재고교 교육 과정 목록, (이상구외, PI: 방승진교수), 한국교육개발원 (2000)

12. 초 중등 수학교육의 목표 및 내용 체계화, (이상구외, PI: 황혜정박사) 연구자료 ORM 2000-14, 한국교육과정평가원, 2000

11. 이상구외, 「2000 대입수학능력시험(수학), 보고서, 한국 교육 과정 평가원,

  1. 이상구, "선형대수학의 과거와 현재" 성대신문논단, 1998 4.20
  1. 이상구, 강옥기, 「행렬이론의 발전과정과 현재」, The Newsletter of the Korean Mathematical Society, V. 55. 20-27, 1997
  1. 이상구, "접속과 해결" 성대신문, 돌물목,1997
  2. 이상구, 「미래를 살아갈 학생들을 위한 수학교육」,성동수학, 창간호, pp.2-5, 중등수학교육연구회
  3. 이상구외, 97 대입수학능력시험(수학), 보고서, 국립교육 평가원,
  4. 이상구외, 96 대입수학능력시험(수학), 보고서, 국립교육 평가원,
  5. 이상구, 「대한수학회의 정보를 세계와 공유하자」,The Newsletter of the Korean Mathematical Society, V. 50. 11-15, 1996
  6. 이상구, Internet and Korean Mathematical Society,The Newsletter of the Korean Mathematical Society, V. 47. 26-34, 1996
  7. 이상구외, "대한수학회 HomePage 구성안 I, II", 대한수학회 전산위원회보고서,1997. 2., pp.1-35
  8. 이상구외 4, 「작용소의 해석적 및 대수적 성질 (I, II, III), 교육부 BSRI-1420 보고서, pp. 1-300

     


Teaching (학생 배출실적):

     


Authored Books

  1. Linear Algebra and Appl. (선형대수학과응용), 경문사(1998), 저서 이상구외3
  2. Mathematics : Form and Functions, 청음사 (In prep.).역저, 이상구외 3인, 2001년 예정
  3. 미적분학, 이상구외 10인, 성균관대 출판부 (1999)

     


Academic Activity

13.   S.K.K.U. Info. Center Advisory Com. , Mar.20 1998 - Feb. 28. 2000

  1.  KMS, Computational Mathematics Division Committee Member - Jan 1, 2000 - Dec. 31 2001
  2.  S.K.K.U.  Units Evaluation Committee,  May - July 1998
  3.  Open Cyber University. Dev. Com. , Mar. 1998 - Present
  4.  S.K.K.U. Scholarship committee , Sep. 97-Aug. 1999
  5.  S.K.K.U. Web Based Instruction Committee, Jan 1998- Jan  1999
  6.  National College Entrance (SAT) Prob. Bank Committee, Aug.-Sep, 1997
  7.  National College Degree Qualification Exam. Committee (Basic Courses), 1997 and 1998
  8.  The Korean Math Society CS Committee, 1997. 1 - Present
  9.  S.K.K.U. Curriculum reform committee, Sep.-Dec. 1995
  10.  Refereed for J. of KMS, B. of KMS, Comm. of KMS, Linear & Multilinear Algebra
  11.  Member of National College Entrance (SAT) Examination Committee, Oct.-Nov., 1995, 1996 and 1999
  12.  National  Mathematics Olympiad Comm., KMS, 1993-1997, 1997-1999

 Education and Academic Experience

Institution

Dates Attended

Degree Date

Degree Major

SungKyunKwan Univ.

1977-1981

1981

BS, Math

Utah State Univ.

1984-1987

1987

MS, Math

Utah State Univ.

1987-1991

1991

Ph.D, Math

 


Academic Experience

  1.  Visiting Associate Professor - Utah State Univ., UT, USA, Spring, 1999
  2.  Visiting Associate Professor - The College of William & Mary , VA, USA, Fall, 1998
  3.  Associate Professor - SungKyunKwan Univ. 1996.3 - present
  4.  Assistant Professor -SungKyunKwan Univ. 1992.3.- 1996.2
  5.  Instructor in Math - SungKyunKwan Univ. 1991-1992
  6.  Teaching Fellow in Math - Utah State Univ. 1989-1991

Copyright Sang-Gu Lee 2000