Name: Raj Kumar Markanda

            Address: 1420 S. Dakota Street

                            Aberdeen, SD 57401

            Phone: Home (605)-229-2353

            Office (605)-626-2456

            E-mail: markandr@wolf.northern.edu

EDUCATION:

                    Ph.d. University of Colorado 1973

                    M.A. Panjab University 1961

                    B.A.(Hons) Panjab University 1959

Ph.d.( Thesis ): Euclidean rings of algebraic numbers and functions ( discovered an infinite class of arithmetic euclidean rings ).

SPECIALITIES:

                    1. Commutative Algebra, Algebraic number theory, and function fields.

                    2. Use of technology in collegiate and secondary mathematics.

PROFESSIONAL EXPERIENCE:

                  University                             Rank                                    Year
 

Northern State University                   Professor                              1991-present

                                                              Assoc. Prof.                           1986-91

University of Iowa                               Visiting Assoc. Prof.              1983-86

University of Los Andes                     Assoc. Prof.                            1977-83

Venezuela

National University of                        Assoc. Prof.                             1975-77

Colombia

Panjab University                               Lecturer                                   1974-75
 
 

Tata Institute of                                 Visiting Member                     1973-74

Fundamental Research

Universite de Paris                              Fellow                                     1972-73

University of Colorado                       Teaching Assistant                 1968-72

                                                             Fellow

Panjab University                               Research Student                     1964-65

                                                           Jr. Research Fellow                   1965-68

Government College                         Lecturer                                     1963-64

Irrigation and Power                         Senior Research                         1961-63

Research Institute                             Assistant
 

REVIEWER:

                    The Mathematical Reviews ( since 1976 )

                    ( more than 80 reviews )

MEMBER:

                        American Mathematical Society (1977-96)

                        Indian Mathematical Society

                        South Dakota Academy of Science (1989-1993)

                        Kappa Mu Epsilon ( Faculty Sponsor )

PUBLICATIONS:

1. "Note on weak dimension of algebras"
    J.Austl. Math. Soc. (1969),194-96
2. "Un exemple d'anneau euclidien"
    C.R. Acad. Sc. Paris,(1974),125-27
3. "On the fundamental unit"
       Revista Colombiana Mat. (1974),227-32
4. "Euclidean rings of algebraic numbers and fields"
    J. Alg. (1975),425-46
5. "Los anillos euclideanos"
    6th Coloquio Colombiano (1976),119-28
6. "Orders euclidien d'algebres arithmetiques"
    C.R. Acad. Paris (1977),1485-86 ( with Albis )
7. "Rings of fractions of euclidean rings"
    Comm. in Alg. (1978),353-60 ( with Albis )
8. "Informe sobre ciertas investgaciones y conjeturas en los anillos euclideanos"
    7th Col. Colombiano (1977) ( with Albis )
9. "Fixed rings of automorphisms of K[x,y]"
    J. Malaysian Math. Soc. (1981),37-40 ( with Pascual )
10. "On the number of remainders in a euclidean algorithm"
    Math Student (1980),147-52
11. "On a Problem of Samuel"
    Revista Colombiana (1981),1-5 ( with Pascual )
12. "Two generlizations of UFD's"
    Proceedings of 6th ELAM, Mexico (1982)
13. "Euclidean algorithm in principal arithmetic algebras"
    Tamakang J. Math. (1984),193-96 ( with Albis)
14. "Unique factorization of rings with zero divisors"
    Houston J. Math. (1985),15-30 ( with D. Anderson )
15. "The rings R(x) and R<x>"
    J. Alg. (1985),96-115 (with D. Anderson and D.F. Anderson)
16. "UFR's with zero divisors" ( corrigendum )
    Houston J. Math. (1985),423-26 ( with D. Anderson )
17. "Some euclidean properties for euclidean quadratic fields"
    Acta Arith. (1986),143-52 ( with Shapiro and Brown )
18. "Euclidean algorithm in power series rings"
    Proceedings S.D. Academy of Science (1989),99-100
19. "Technology in number theory"
    Proceedings of ICTCM (1991)
20. "Exploring dominant eigenvalue with technology"
    Proc. of ICTCM (1992)
21. "Linear Algebra and the TI-85",
    Electronic Proceedings VII ICTCM (1994)
22. AReview of Mathcad 5.0 Plus for Windows@
    Notices of the A.M.S. 1994
23. AMatlab and Linear Systems@
    Electronic Proceedings VIII ICTCM (1995)

RECENT PRESENTATIONS:

1.            Mathematics Resources on the World Wide Web,

Basic algebra, Intermediate algebra, College algebra, Trigonometry, Calculus, Engineering calculus, Business calculus,Differential equations, Linear algebra, Algebra and geometry for elementary school teachers, Theory of numbers, Commutative algebra, Galois fields, Homological algebra.

Directed independent study and seminars leading to 9 B.S. and 3 M.S. theses at University of Los Andes. Two students of mine did Ph.d in U.S.A. Helped University of Los Andes set up Master's program.

HONORS:

1. Listed in the current editions of WHO's WHO in Science and Engineering and Who’s Who in the Midwest.

2. Listed in the 23rd edition of WHO's WHO in the Midwest

3. Spent a year at Univesite de Paris XI working with P. Samuel and was accepted as a candidate for D.Sc.

4. Awarded University of Colorado Fellowship for 3 years.

5. Was one of the 5 judges for the National Prize in Mathematics

of Venezuela in 1982.

6. Nominated for Burlington Northern Faculty award in 1990.

7. Chaired the Math Search Committee in 1990

8. Student representative on Graduate Committee at U. of Colorado.

REFEREE:

For Journal of Algebra

EDITORIAL BOARD:

Dimension da la Matematica ( A Venezuelan Mathematics Journal)

PRESENTATIONS:

Have presented research papers at national and international meetings in Colombia, Venezuela, Mexico, and U.S.A.

GRANTS: