Welcome to the Research Page of William Sit
Professor Emeritus
Department of Mathematics
The City College of The City University of New York
160 Convent Avenue, New York, NY 10031
Office: R6/291D (North Academic Center)
Office Tel: 212-650-5179
Office Fax: 212-862-0004
Email: wsit@ccny.cuny.edu
  

Home Page: wsit.ccny.cuny.edu  Last Updated on: January 31, 2016

Home          Preprints          Published Papers          Unpublished Notes
Edited Volumes          Editorials          Lectures

Preprints
  1. Gao, Xing; Guo, Li; Sit, William Y.; Zheng, Shanghua. Rota-Baxter Type Operators, Rewriting Systems, Gröbner-Shirshov Bases, submitted to ISSAC'14 Special Issue, Journal of Symbolic Computation, 2014.


Published Papers
  1. (With Guo, Li; Zhang, Ronghua) Differential type operators and Gröbner-Shirshov bases. J. Symbolic Comput. 52 (2013), 97–123.
  2. (With Guo, Li; Zhang, Ronghua) On Rota's problem for linear operators in associative algebras. ISSAC 2011—Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, 147–154, ACM, New York, 2011.
  3. (With Li Guo) Enumeration and Generating Functions of Differential Rota-Baxter Words, Math. Comp. Sci., Vol. 4(2,3), 339–358, September 2010.
  4. (With Li Guo) Enumeration and Generating Functions of Rota-Baxter Words, Math. Comp. Sci., Vol. 4(2,3), 313–337, September 2010.
  5. (With Guo, Li) On differential Rota-Baxter words, in Differential Algebra and Related Computer Algebra, Program and Abstracts, An International Conference in Memory of Giuseppa Carrà-Ferro, March 26–28, 2008, University of Catania, Italy, Le Matematiche, Vol. LXVIII (2008), Fasc. I, 27–30, Università Degli Studi di Catania, Catania.
  6. With Pritchard, F. Leon. On initial value problems for ordinary differential-algebraic equations. Gröbner bases in symbolic analysis, 283–340, Radon Ser. Comput. Appl. Math., 2, Walter de Gruyter, Berlin, 2007.
  7. With Guo, Li. Enumeration of Rota-Baxter Words, Max-Planck-Institut für Mathematik Preprint Series 2006 (58), Bonn; Extended Abstract published in Proceedings ISSAC 2006, 124–131, ACM, New York, 2006.
  8. The Ritt-Kolchin theory for differential polynomials. In Differential Algebra and Related Topics, Proceedings of the International Workshop held at Rutgers University, Newark, NJ, November 2–3, 2000. Edited by Li Guo, Phyllis J. Cassidy, William F. Keigher and William Y. Sit., World Sci. Publishing, River Edge, NJ, 2002, 1–70.
  9. Computations on Quasi Algebraic Set. In IMACS ACA'98 Electronic Proceedings.
  10. Mathematica Notebooks for a Conventional Differential Equations Course. J. Symbolic Comput. 23 (5–6), 1997, 589–623.
  11. (With Reinhart, Georg). Differentially homogeneous differential polynomials, Proceedings of ISSAC96, ACM Press, 1996, 212–218.
  12. (With Carrà Ferro, Giuseppa). On term-orderings and rankings. Computational algebra (Fairfax, VA, 1993), 31–77, Lecture Notes in Pure and Appl. Math., 151, Dekker, New York, 1994.
  13. An algorithm for solving parametric linear systems. J. Symbolic Comput. 13(4). 1992, 353–394.
  14. A Theory for Parametric Linear Systems, Proceedings, ISSAC91, (July, 1991), 112–121.
  15. Some Comments on Term-Orderings in Grobner Basis Computations, ACM SIGSAM Bulletin 23(2). 34–38, April 1989.
  16. On Parametric Linear Systems. IBM Research Report RC 14525, March 1989.
  17. On Goldman's algorithm for solving first-order multinomial autonomous systems. Applied algebra, algebraic algorithms and error-correcting codes (Rome, 1988), Lecture Notes in Comput. Sci., 357, Springer, Berlin, 1989, 386–395.
  18. (with J. Kovacic) Technique to Enhance Data Entry Routines, Part I, Interface Age, Jan 1983, 122–127.
  19. (with J. Kovacic) Technique to Enhance Data Entry Routines, Part II, Interface Age, Feb 1983, 119–122.
  20. (with Goldfarb, Donald). Worst case behavior of the steepest edge simplex method. Discrete Appl. Math. 1(4), 1979, 277–285.
  21. (with Johnson, Joseph). On the differential transcendence polynomials of finitely generated differential field extensions. Amer. J. Math. 101 (6), 1979, 1249–1263.
  22. Differential dimension polynomials of finitely generated extensions. Proc. Amer. Math. Soc. 68 (3), 1978, 251–257.
  23. Well-ordering of certain numerical polynomials. Trans. Amer. Math. Soc. 212 (1975), 37–45.
  24. Differential algebraic subgroups of SL(2) and strong normality in simple extensions. Amer. J. Math. 97(3). 1975, 627–698.
  25. (with Siu, Man Keung). On the subsemigroups of $N$. Math. Mag. 48 (4), 1975, 225–227.
  26. Typical differential dimension of the intersection of linear differential algebraic groups. J. Algebra 32 (3), 1974, 476–487.

Unpublished Notes
Under Construction.
  1. Mathematica Notebooks for On Rota's Problem for Linear Operators in Associative Algebras, Proceedings, ISSAC 2011. Preprint Version
  2. On Crossnumber Puzzles and The Lucas-Bonaccio Farm, 1998. Dedicated to Dr. Man-Keung Siu on his retirement. Revised Dec 30, 2006.
  3. (with Lawrence Goldman) First Integrals of Dynamical Systems, (57 pages).
  4. (with Alexandru Buium) Vanishing Theorems on Kummer Surfaces, (15 pages).
  5. On Differentially Homogeneous Differential Polynomials.

Volumes: Proceedings, Special Issues, Book Chapters
  1. Special Issues in Mathematics in Computer Science, Vol. 4(2,3), September 2010: Algebraic and Algorithmic Aspects of Differential and Integral Operators (AADIOS)., eds.: Georg Regensburger, Markus Rosenkranz, and William Sit. Birkhäuser, 2010, pp. 139–384.
  2. Differential Algebra and Related Computer Algebra, Program and Abstracts, An International Conference in Memory of Giuseppa Carrà-Ferro, March 26–28, 2008, University of Catania, Italy, eds: Mora, Teo; Gerdt, Vladimir; Sit, William. Le Matematiche, Vol. LXVIII (2008), Fasc. I, Università Degli Studi di Catania, Catania, 101 pp.
  3. Computer Mathematics. Proceedings of the 6th Asian Symposium (ASCM 2003) held in Beijing, October 23–25, 2003, eds.: Ziming Li and William Sit. Lecture Notes Series on Computing, 10. World Scientific Publishing Co., Inc., River Edge, NJ, 2003. x+299 pp.
  4. Differential Algebra and Related Topics. Proceedings of the International Workshop held at Rutgers University, Newark, NJ, November 2–3, 2000, eds.: Guo, Li; Cassidy, Phyllis J.; Keigher, William F. ; and Sit, William Y. World Scientific Publishing Co., Inc., River Edge, NJ, 2002. xiv+305 pp.
  5. Special Issue of the J. Symbolic Comput. 28(4–5). Differential Algebra and Differential Equations, eds.: William Sit and Manuel Bronstein. Academic Press, Amsterdam, 1999. pp. 435–736.
  6. (with R.D.Jenks, R.S.Sutor and others) AXIOM, The Scientific Computation System, The Numerical Algorithms Group Limited, Springer-Verlag, 1992.

Editorial Works
  1. The Kolchin seminar in differential algebra at the Graduate Center of the City University of New York: Summer —2014. ACM Communications in Computer Algebra, 48(2):70–73, March 2014.
  2. (With Regensburger, Georg; Rosenkranz, Markus). Foreword, in Special Issues of Mathematics in Computer Science, Vol. 4(2,3), September 2010: Algebraic and Algorithmic Aspects of Differential and Integral Operators (AADIOS), Birkhäuser, 2010, pp. 139–141.
  3. In memoriam, Giuseppa Carrà-Ferro (1952–2007). ACM Commun. Comput. Algebra 41 (1&ndash2), 31–35, 2007. Also reprinted and updated in Differential Algebra and Related Computer Algebra, Program and Abstracts, An International Conference in Memory of Giuseppa Carrà-Ferro, March 26–28, 2008, University of Catania, Italy, Le Matematiche, Vol. LXVIII (2008), Fasc. I, 3–9, Università Degli Studi di Catania, Catania.
  4. (With Mora, Teo; Gerdt, Vladimir) Foreword, Differential Algebra and Related Computer Algebra, Program and Abstracts, An International Conference in Memory of Giuseppa Carrà-Ferro, March 26–28, 2008, University of Catania, Italy, Le Matematiche, Vol. LXVIII (2008), Fasc. I, p. 11, Università Degli Studi di Catania, Catania.
  5. Abstracts of Special Session on Differential Algebra: American Mathematical Society, Eastern Section Spring Meeting: Stevens Institute of Technology, April 14–15, 2007. ACM Communications in Computer Algebra, 40(3–4): 88–107, September–December 2006.
  6. (With Li, Ziming) Preface, in Computer Mathematics. Proceedings of the 6th Asian Symposium (ASCM 2003) held in Beijing, October 23--25, 2003, eds.: Ziming Li and William Sit. Lecture Notes Series on Computing, 10. World Scientific Publishing Co., Inc., River Edge, NJ, 2003. v–vi.
  7. (With Guo, Li; Cassidy, Phyllis J.; Keigher, William F.) Foreword, in Differential Algebra and Related Topics. Proceedings of the International Workshop held at Rutgers University, Newark, NJ, November 2--3, 2000, eds.: Li Guo, Phyllis J. Cassidy, William F. Keigher and William Y. Sit. World Scientific Publishing Co., Inc., River Edge, NJ, 2002. pp. v–vii.
  8. East Coast Computer Algebra Day: {ECCAD 2002} Poster and Demonstration Abstracts, SIGSAM Bulletin 36 (3), p. 1, September 2002.
  9. East Coast Computer Algebra Day, SIGSAM Bulletin 36 (1), 19–21, March 2002.
  10. (with Manuel Bronstein) Forward of the Guest Editors, in Special Issue of the Journal of Symbolic Computation Vol. 28 (4–5) on Differential Equations and Differential Algebra, Academic Press, 1999. 435–440.
  11. (with F. Leon Pritchard) On Initial Value Problems for Ordinary Differential-Algebraic Equations, ACM SIGSAM Bulletin Vol. 32(2), p. 61, June 1998.
  12. (with Manuel Bronstein) Journal of Symbolic Computation Special Issue on Differential Equations and Differential Algebra, SIGSAM Bulletin 31 (1), p. 32, 1997.

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