Aihua Li
- Office:
- Richardson Hall 218
- E-Mail:
- lia@mail.montclair.edu
- Phone:
- 973 655-7271
- Fax:
- 973 655-7686
- Degree(s):
- BS:Beijing University of Science and Technology
- MS:Beijing University of Science and Technology
- MS:University of Nebraska-Lincoln
- PhD:University of Nebraska-Lincoln
- vCard:
- Download vCard File
Professor, Mathematical Sciences
Profile
Dr. Aihua Li
Professor of Mathematics in the Department of Mathematical Science
Doctoral faculty member in MSU's Ed.D program in Math Education.
Professor of Mathematics in the Department of Mathematical Science
Doctoral faculty member in MSU's Ed.D program in Math Education.
Specialization
REFEREED PUBLISHED ARTICLES
1. Elizabeth Arango, Aihua Li, “The Behavior of DS-divisors of Positive Integers”, International Journal of Pure and Applied Mathematics, Vol. 70, No. 6, 2011.
2. Aihua Li, Edward Mosteig, “On the Construction of Explicit Solutions to the Matrix Equation X2AX = AXA”, Electronic Journal of Linear Algebra, Vol. 21, pp. 159-170, 2010.
3. Aihua Li, Qing Wu, “Interlace Polynomial of Ladder Graphs”, Journal of Combinatorics, Information, and System Science, vol. 35 No. 1-2, pages 261–273, 2010.
4. Zhang Xiaodan, Wang Fei, Deng Qin, Aihua Li, “Construction and Applications of Multivariate Separators” (in Chinese), Acata Mathematica Applicatae Sinica, Vol. 33 No. 2, March 2010.
5. Zhang Xiaodan, Zhao Pin-Dong, Aihua Li, “Construction of a New Fractional Chaotic System and Generalized Synchronization”, Commun. Theor. Phys. Vol. 53, No. 6, 1105 – 1110, 2010.
6. Aihua Li, Michael Wilson, “Tracing Certain n-dimensional Space Points”, Pi Mu Epsilon Journal, Vol. 12, No. 10, 2009.
7. Aihua Li, Mika Munakata, “Building Mathematically”, Mathematics Teacher, Vol. 103, Issue 1, Page 14, 2009.
8. Joseph P. Brennan, Aihua Li, Qun Huo, “Advancing Lattice Path Models for Nanoparticle Percolation of Conductivity in a Non-conductive Matrix”, Journal of Computational and Theoretical Nanoscience, Vol. 6, No. 3, 519–524, March 2009.
9. Aihua Li, “American Classroom Teaching and Inspiration – Observation of one Sample Class Taught by U. S. Teachers”, Mathematics Curriculum - Practice and Research, Beijing Normal University Publisher, 383 – 399, 2009.
10. Xiaoying Teng, Aihua Li, “Bilingual Content-based Teaching – An Important Component for Education Globalization”, Proceedings of “the 12th World Multiconference on Systemics, Cybernetics and Informatics: WMSCI 2008”, Paper A960DH, Orlando, Florida, 29 – July 3, 2008.
11. John Wang, Dajin Wang, and Aihua Li, “Goal Programming and Its Variants”, in Adam, F. (ed.) Encyclopedia of Decision Making and Decision Support Technologies, Vol. 1, A– lm, 410 – 417, Information Science Reference, Hershey, PA, 2008.
12. Xiangjun Min, Aihua Li, “Algebraic Methods in Multivariate Polynomial Interpolation”, Proceedings of the Sixth EUROSIM Congress on Modeling and Simulation, Ljubljana, Slovenia, September 2007.
13. Betty Jean Harmsen, Aihua Li, “Discrete Sturm-Liouville Problems with Nonlinear Parameter in the Boundary Conditions”, Journal of Difference Equations and Applications, Vol. 13, Issue 7, 639 - 653, 2007.
14. Min, Xiangjun, Zhang, Xiaodan, and Aihua Li, “Algebraic Models of Discrete Time Series”, Shandong Ligong Xue Bao, Journal of Shandon University of Technology (Natural Science Edition), Vol. 21, no. 5, pages 93 – 96, 2007.
15. Xiaona Pan, Fucheng Liao, Aihua Li, “Certain Linear and Radical Models of Discrete Time Series”, International Journal of Pure and Applied Mathematics, Vol. 28, no. 4, pages 487-501, 2006.
16. Aihua Li, Irena Swanson, “Symbolic Powers of Radical Ideals”, Rocky Mountain Journal of Mathematics, vol. 36, no. 3, 2006.
17. Guiting Li, Bingtuan Wang, and Aihua Li, “Genetic Operators Design Using Division Algorithm in the Solution Space”, Proceedings of the IASTED International Conference on Modeling and Simulation”, pages 286-290, Montreal, May, 2006.
18. Aihua Li, Serpil Saydam, “Linearity of Polynomial Models of Discrete Time Series”, Proceedings of the IASTED Fifth International Conference on Modeling, Simulation, and Optimization”, pages 125-128, Aruba, August, 2005.
19. Aihua Li, “An Algebraic Approach to Building Interpolating Polynomials”, Discrete and Continuous Dynamical System, Suppl. Vol., pages 597-604, 2005.
20. Aihua Li, “Polynomial Models of Discrete Time Series”, Proceedings of Dynamic Systems and Applications, vol. 4, pages 68-73, 2004.
21. Aihua Li, Chuang Peng, “Linear Transformations on Polynomial Models of Time Series”, International Journal of Pure and Applied Mathematics, Vol. 17, no. 2, pages 235-248, 2004.
22. Aihua Li, Sindhu Unnithan, “A Sequence Constructed from Fibonacci Numbers”, Applications of Fibonacci Numbers, Vol. 9, 159-166, ed. by Fredric T. Howard, Kluwer Academic Publisher (Proceedings of the Tenth International Conference of Fibonacci Numbers), 2003.
23. Betty J. Harmsen, Aihua Li, “Discrete Sturm-Liouville Problems with Parameter in the Boundary Conditions”, Journal of Difference Equations and Applications, Vo. 8, no.11, pp. 969-981, 2002.
24. Aihua Li, Duane Randal, “Non-trivial Solutions to Certain Matrix Equations”, Electronic Journal of Linear Algebra, Vol. 9, pp. 282-289, 2002.
25. William J. Heinzer, Aihua Li, Louis J. Ratliff Jr., and David E. Rush, “Monoidal extensions of a Cohen-MaCaulay Unique Factorization Domain”, Transactions of the American Mathematical Society, 354, 1783--1791, 2002.
26. Aihua Li, “Birational Extensions of a Noetherian UFD”, Communications in Algebra, 28(1), 209--216, 2000.
27. Aihua Li, “Prime Elements of Birational Extensions of a Noetherian UFD”, Algebra and its Applications, Contemporary Mathematics Series, pp. 371-376, Volume 259, 2000.
28. Aihua Li, Sylvia Wiegand, “Prime Ideals in Two-dimensional Domains over the Integers”, Journal of Pure and Applied Algebra, Vol. 130, Number 3, 313--324, 1998.
29. Aihua Li, Sylvia Wiegand, “The Polynomial Behavior of Prime Ideals in Polynomial Rings and the Projective Line over Z”, Factorization in Integral Domains, Lecture Notes in Pure and Applied Mathematics, pp. 383-400, Volume 189, 1997.
30. Aihua Li, “Spectra of Birational Extensions of Z[x]”, Proceedings of International Conference in Algebra and Combinatorics (Hong Kong)”, pp. 321-326, Springer, 1997.
31. Aihua Li, “Partially Ordered Sets of Prime Ideals and Prime Filtrations of Finitely Generated Modules”, Dissertation Summaries in Mathematics, Volume I, 1-2, 1996.
32. Aihua Li, “Associated Prime Filtrations of Finitely Generated Modules over Noetherian Rings”, Communications in Algebra, 23(4), pages 1511-1526, 1995.
33. Aihua Li, “Compound Extensions of Groups,” Journal of Beijing University of Science and Technology, 1988.
34. Aihua Li, “Exploring Group Theory Using Mathematica and Involving Students in Research”, Proceedings of the Eleventh ICTCM (International Conference on Technology in Collegiate Mathematics), 1998.
OTHER PUBLICATIONS
1. “Integrating Graduate Research into the Middle School Classrooms”, Stewart Hengeweld, Aihua Li, Miguel Marquez, in progress, to be submitted to the ACTM journal Mathematics Teaching in the Middle School.
2. Mika Munakata, Aihua Li, “Reflections on Montclair State University–Beijing Connection”, MAA Focus – the New Magazine of the Mathematical Association of America, Vol. 8, Number 8, Nov. 2008
3. Aihua Li, “Teaching Abstract Algebra with Involvement of Students' Research”, Proceedings of M/SET (International Conference on Mathematics/Science Education & Technology), 1999.
1. Elizabeth Arango, Aihua Li, “The Behavior of DS-divisors of Positive Integers”, International Journal of Pure and Applied Mathematics, Vol. 70, No. 6, 2011.
2. Aihua Li, Edward Mosteig, “On the Construction of Explicit Solutions to the Matrix Equation X2AX = AXA”, Electronic Journal of Linear Algebra, Vol. 21, pp. 159-170, 2010.
3. Aihua Li, Qing Wu, “Interlace Polynomial of Ladder Graphs”, Journal of Combinatorics, Information, and System Science, vol. 35 No. 1-2, pages 261–273, 2010.
4. Zhang Xiaodan, Wang Fei, Deng Qin, Aihua Li, “Construction and Applications of Multivariate Separators” (in Chinese), Acata Mathematica Applicatae Sinica, Vol. 33 No. 2, March 2010.
5. Zhang Xiaodan, Zhao Pin-Dong, Aihua Li, “Construction of a New Fractional Chaotic System and Generalized Synchronization”, Commun. Theor. Phys. Vol. 53, No. 6, 1105 – 1110, 2010.
6. Aihua Li, Michael Wilson, “Tracing Certain n-dimensional Space Points”, Pi Mu Epsilon Journal, Vol. 12, No. 10, 2009.
7. Aihua Li, Mika Munakata, “Building Mathematically”, Mathematics Teacher, Vol. 103, Issue 1, Page 14, 2009.
8. Joseph P. Brennan, Aihua Li, Qun Huo, “Advancing Lattice Path Models for Nanoparticle Percolation of Conductivity in a Non-conductive Matrix”, Journal of Computational and Theoretical Nanoscience, Vol. 6, No. 3, 519–524, March 2009.
9. Aihua Li, “American Classroom Teaching and Inspiration – Observation of one Sample Class Taught by U. S. Teachers”, Mathematics Curriculum - Practice and Research, Beijing Normal University Publisher, 383 – 399, 2009.
10. Xiaoying Teng, Aihua Li, “Bilingual Content-based Teaching – An Important Component for Education Globalization”, Proceedings of “the 12th World Multiconference on Systemics, Cybernetics and Informatics: WMSCI 2008”, Paper A960DH, Orlando, Florida, 29 – July 3, 2008.
11. John Wang, Dajin Wang, and Aihua Li, “Goal Programming and Its Variants”, in Adam, F. (ed.) Encyclopedia of Decision Making and Decision Support Technologies, Vol. 1, A– lm, 410 – 417, Information Science Reference, Hershey, PA, 2008.
12. Xiangjun Min, Aihua Li, “Algebraic Methods in Multivariate Polynomial Interpolation”, Proceedings of the Sixth EUROSIM Congress on Modeling and Simulation, Ljubljana, Slovenia, September 2007.
13. Betty Jean Harmsen, Aihua Li, “Discrete Sturm-Liouville Problems with Nonlinear Parameter in the Boundary Conditions”, Journal of Difference Equations and Applications, Vol. 13, Issue 7, 639 - 653, 2007.
14. Min, Xiangjun, Zhang, Xiaodan, and Aihua Li, “Algebraic Models of Discrete Time Series”, Shandong Ligong Xue Bao, Journal of Shandon University of Technology (Natural Science Edition), Vol. 21, no. 5, pages 93 – 96, 2007.
15. Xiaona Pan, Fucheng Liao, Aihua Li, “Certain Linear and Radical Models of Discrete Time Series”, International Journal of Pure and Applied Mathematics, Vol. 28, no. 4, pages 487-501, 2006.
16. Aihua Li, Irena Swanson, “Symbolic Powers of Radical Ideals”, Rocky Mountain Journal of Mathematics, vol. 36, no. 3, 2006.
17. Guiting Li, Bingtuan Wang, and Aihua Li, “Genetic Operators Design Using Division Algorithm in the Solution Space”, Proceedings of the IASTED International Conference on Modeling and Simulation”, pages 286-290, Montreal, May, 2006.
18. Aihua Li, Serpil Saydam, “Linearity of Polynomial Models of Discrete Time Series”, Proceedings of the IASTED Fifth International Conference on Modeling, Simulation, and Optimization”, pages 125-128, Aruba, August, 2005.
19. Aihua Li, “An Algebraic Approach to Building Interpolating Polynomials”, Discrete and Continuous Dynamical System, Suppl. Vol., pages 597-604, 2005.
20. Aihua Li, “Polynomial Models of Discrete Time Series”, Proceedings of Dynamic Systems and Applications, vol. 4, pages 68-73, 2004.
21. Aihua Li, Chuang Peng, “Linear Transformations on Polynomial Models of Time Series”, International Journal of Pure and Applied Mathematics, Vol. 17, no. 2, pages 235-248, 2004.
22. Aihua Li, Sindhu Unnithan, “A Sequence Constructed from Fibonacci Numbers”, Applications of Fibonacci Numbers, Vol. 9, 159-166, ed. by Fredric T. Howard, Kluwer Academic Publisher (Proceedings of the Tenth International Conference of Fibonacci Numbers), 2003.
23. Betty J. Harmsen, Aihua Li, “Discrete Sturm-Liouville Problems with Parameter in the Boundary Conditions”, Journal of Difference Equations and Applications, Vo. 8, no.11, pp. 969-981, 2002.
24. Aihua Li, Duane Randal, “Non-trivial Solutions to Certain Matrix Equations”, Electronic Journal of Linear Algebra, Vol. 9, pp. 282-289, 2002.
25. William J. Heinzer, Aihua Li, Louis J. Ratliff Jr., and David E. Rush, “Monoidal extensions of a Cohen-MaCaulay Unique Factorization Domain”, Transactions of the American Mathematical Society, 354, 1783--1791, 2002.
26. Aihua Li, “Birational Extensions of a Noetherian UFD”, Communications in Algebra, 28(1), 209--216, 2000.
27. Aihua Li, “Prime Elements of Birational Extensions of a Noetherian UFD”, Algebra and its Applications, Contemporary Mathematics Series, pp. 371-376, Volume 259, 2000.
28. Aihua Li, Sylvia Wiegand, “Prime Ideals in Two-dimensional Domains over the Integers”, Journal of Pure and Applied Algebra, Vol. 130, Number 3, 313--324, 1998.
29. Aihua Li, Sylvia Wiegand, “The Polynomial Behavior of Prime Ideals in Polynomial Rings and the Projective Line over Z”, Factorization in Integral Domains, Lecture Notes in Pure and Applied Mathematics, pp. 383-400, Volume 189, 1997.
30. Aihua Li, “Spectra of Birational Extensions of Z[x]”, Proceedings of International Conference in Algebra and Combinatorics (Hong Kong)”, pp. 321-326, Springer, 1997.
31. Aihua Li, “Partially Ordered Sets of Prime Ideals and Prime Filtrations of Finitely Generated Modules”, Dissertation Summaries in Mathematics, Volume I, 1-2, 1996.
32. Aihua Li, “Associated Prime Filtrations of Finitely Generated Modules over Noetherian Rings”, Communications in Algebra, 23(4), pages 1511-1526, 1995.
33. Aihua Li, “Compound Extensions of Groups,” Journal of Beijing University of Science and Technology, 1988.
34. Aihua Li, “Exploring Group Theory Using Mathematica and Involving Students in Research”, Proceedings of the Eleventh ICTCM (International Conference on Technology in Collegiate Mathematics), 1998.
OTHER PUBLICATIONS
1. “Integrating Graduate Research into the Middle School Classrooms”, Stewart Hengeweld, Aihua Li, Miguel Marquez, in progress, to be submitted to the ACTM journal Mathematics Teaching in the Middle School.
2. Mika Munakata, Aihua Li, “Reflections on Montclair State University–Beijing Connection”, MAA Focus – the New Magazine of the Mathematical Association of America, Vol. 8, Number 8, Nov. 2008
3. Aihua Li, “Teaching Abstract Algebra with Involvement of Students' Research”, Proceedings of M/SET (International Conference on Mathematics/Science Education & Technology), 1999.
Resume/CV
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