Shahriar Shahriari
William Polk Russell Professor of Mathematics
Pomona College
610 N. College Ave.
Claremont, CA 91711-6348
(909) 621-8714
Fax: (909) 607-1247
email: sshahriari (at) pomona (dot) edu


Shahriar Shahriari's Publications


    Book:

  1. Shahriar Shahriari. Approximately Calculus. American Mathematical Society, 292 pp., 2006. ISBN-10: 0-8218-3750-8. ISBN-13: 978-0-8218-3750-4. Choice   Outstanding Academic Title for 2007.

    Edited Volumes:

  2. R. A. Brualdi, S. Hedayat, H. Kharaghani, G. B. Khosrovshahi, and S. Shahriari, editors. Combinatorics and Graphs, volume 531 of Contemporary Mathematics, Providence, RI, 2010. American Mathematical Society.
  3. J. Dinitz, H. Kharaghani, G. B. Khosrovshahi, and S. Shahriari, editors. Discrete Mathematics. Special Issue: International Workshop on Design Theory, Graph Theory, and Computational Methods (IPM Combinatorics II), volume 309, number 3. Elsevier, February 2009.
  4. R. A. Brualdi, S. Hedayat, H. Kharaghani, G. B. Khosrovshahi, and S. Shahriari, editors. Discrete Mathematics, Special Issue: International Workshop on Combinatorics, Linear Algebra, and Graph Coloring. Volume 306. Elsevier, December 2006.

    Research Publications:

  5. Ghassan Sarkis, Shahriar Shahriari, and PCURC. Zero-sum flows of the linear lattice. Finite Fields and their Application, 31:108--120, 2015. PCURC stands for the Pomona College Undergraduate Research Circle whose members for this project were David Breese, Benjamin Fish, Isabel Juarez, Utsav Kothari, Stephen Ragain, Claire Ruberman, Aparna Sarkar, and Zach Siegel.
  6. Ameera Chowdhury, Ghassan Sarkis, and Shahriar Shahriari. The Manickam-Miklos-Singhi Conjectures for Sets and Vector Spaces. Journal of Combinatorial Theory, Series A, 128:84--103, November 2014.
  7. Ghassan Sarkis, Shahriar Shahriari, and PCURC. Diamond-free subsets in the linear lattices. Order, 31(3): 421--423, 2014. PCURC stands for the Pomona College Undergraduate Research Circle whose members in Spring of 2011 were Zachary Barnett, David Breese, Benjamin Fish, William Frick, Andrew Khatutsky, Daniel McGuinness, Dustin Rodrigues, and Claire Ruberman.
  8. Elinor Escamilla, Andreea Nicolae, Paul Salerno, Shahriar Shahriari, and Jordan Tirrell. On nested chain decompositions of normalized matching posets of rank 3. Order, 28: 357--373, 2011.
  9. Andrew Pearsall and Shahriar Shahriari. Chain decompositions of normalized matching posets of rank 2. In B.D. Acharya, G.O.H. Katona, and J. Nesetril, editors, Advances in Discrete Mathematics and Applications (Proc. ICDM 2008, Mysore, India, 2008), volume 13 of RMS Lecture Notes Series, pages 19--32. Ramanujan Mathematical Society, 2010.
  10. Tim Hsu, Mark Logan, and Shahriar Shahriari. Methods for nesting rank 3 normalized matching rank-unimodal posets. Discrete Math., 309(3):521--531, February 2009.
  11. Timothy Hsu, Mark Logan, and Shahriar Shahriari. The generalized Furedi conjecture holds for finite linear lattices. Discrete Mathematics, 306:3140--3144, 2006.
  12. Bruce Rothschild and Shahriar Shahriari. Cutsets and anti-chains in linear lattices. Journal of Combinatorial Theory A, 113(8):1783--1790, November 2006.
  13. James Pommersheim and Shahriar Shahriari. Unique factorization in generalized power series rings. The Proceedings of the American Mathematical Society, 134(5):1277--1287, 2006.
  14. Mark Logan and Shahriar Shahriari.A new matching property for posets and existence of disjoint chains. Journal of Combinatorial Theory A, 108(1):77--87, October 2004.
  15. Timothy Hsu, Mark Logan, Shahriar Shahriari, and Christopher Towse. Partitioning the Boolean Lattice into a minimal number of chains of relatively uniform Size. European Journal of Combinatorics, 24: 219-228, 2003.
  16. Timothy Hsu, Mark Logan, Shahriar Shahriari, and Christopher Towse. Partitioning the Boolean lattice into chains of large minimum size. Journal of Combinatorial Theory Part A, 97(1): 62-84, 2002.
  17. Paul L. Mariz and Shahriar Shahriari. Edge cutsets in the directed hypercube. Networks, 39(2):73-76, 2002.
  18. David Linnan Li and Shahriar Shahriari. Games of chains and cutsets in the Boolean Lattice II. Order, 18:247-267, 2001.
  19. Matthew Haines, and Shahriar Shahriari. On the f-vectors of Cutsets in the Boolean Lattice. Journal of Combinatorial Theory, Part A, 93(1):177-181, January 2001.
  20. Bela Bajnok, and Shahriar Shahriari. On Uniform f-vectors of Cutsets in the Truncated Boolean Lattice. Combinatorica, 20, No. 1 (2000), 1-14.
  21. Rebecca Gutterman, and Shahriar Shahriari. Games of Chains and Cutsets in the Boolean Lattice. Order, 14 (1997/98), 321-325.
  22. S. Akbari, G. B. Khosrovshahi, C. Maysoori, and S. Shahriari, On Maximum Size anti-Pasch Sets of Triples. In J. W. P. Hirschfeld, S. S. Magliveras, and M. J. de Resmini, editors, Geometry, Combinatorial Designs and Related Structures, volume 245 of London Mathematical Society, Lecture Note Series, pages 7-14. Cambridge University Press (1997).
  23. Bela Bajnok and Shahriar Shahriari. Long symmetric chains in the Boolean lattice. Journal of Combinatorial Theory, Part A, 75 (1996), 44-54.
  24. Shahriar Shahriari. On the structure of maximum 2-part Sperner families. Discrete Mathematics, 162 (1996), 229-238.
  25. Shahriar Shahriari. Maximizing det(X^{t}X). Linear and Multilinear Algebra, 36 (1994), 275-278.
  26. Shahriar Shahriari. On Central Type Factor Groups. Pacific Journal of Mathematics, 151 (1991), 151-178.
  27. Shahriar Shahriari. Fully Ramified Subgroups. Journal of Algebra, 130 (1990), 198-218.
  28. Shahriar Shahriari. Groups Isomorphic via Decomposition. Advances in Applied Mathematics, 11 (1990), 35.
  29. Shahriar Shahriari. On Normal Subgroups of Capable Groups. Archiv Der Mathematik, 48, No. 3 (1987), 193-198.

    Expository Publications:

  30. Dan Kalman, Robert Mena, and Shahriar Shahriari. Variations on an Irrational Theme-Geometry, Dynamics, Algebra. Mathematics Magazine, 70 (1997), 93-104. Winner 1998 Mathematical Association of America's Carl B. Allendoerfer Award for expository writing.

    Book Reviews, Conference Proceedings, and Other:

  31. Shahriar Shahriari. Islamic/Arabic Mathematics. In Sarah Greenwald and Jill Thomley, editors, Encyclopedia of Mathematics and Society, pages 53--55. Golson Media & Salem Press, October 2011.
  32. Shahriar Shahriari. Numbers: Rational and Irrational. In Sarah Greenwald and Jill Thomley, editors, Encyclopedia of Mathematics and Society, pages 724--726. Golson Media & Salem Press, October 2011.
  33. Shahriar Shahriari. Ruler and Compass Constructions. In Sarah Greenwald and Jill Thomley, editors, Encyclopedia of Mathematics and Society, pages 881--883. Golson Media & Salem Press, October 2011.
  34. Shahriar Shahriari. Travelling Salesman Problem. In Sarah Greenwald and Jill Thomley, editors, Encyclopedia of Mathematics and Society, pages 1009--1010. Golson Media & Salem Press, October 2011.
  35. J. Dinitz, H. Kharaghani, G. B. Khosrovshahi, and S. Shahriari. Preface [Special issue: International Workshop on Design Theory, Graph Theory, and Computational Methods (IPM Combinatorics {II})]. Discrete Math., 306(23):513--514, February 2009.
  36. Richard A. Brualdi, Samad Hedayat, Hadi Kharaghani, Gholamreza B. Khosrovshahi, and Shahriar Shahriari. Preface [Special issue: International Workshop on Combinatorics, Linear Algebra, and Graph Coloring]. Discrete Math., 306(23):2989, 2006. Held in Tehran, August 9--14, 2003.
  37. Ted Chinburg and Shahriar Shahriari. Problem 11216. American Mathematics Monthly, 113(4):366, April 2006.
  38. Shahriar Shahriari. Width and f-vectors of Cutsets in the Truncated Boolean Lattice. In Yousef Alavi, Dawn Jones, Don R. Lick, and Jiuqiang Liu, editors, Electronic Notes in Discrete Mathematics, volume 11. Elsevier, 2002.
  39. Shahriar Shahriari. Book Review of "Representations and Characters of Groups'' by G. James and M. Liebeck. Linear and Multilinear Algebra, 1995, Vol. 39, pp. 397-400.
  40. Shahriar Shahriari. Fully Ramified Characters. In Paul Fong, editor, The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), volume 47 of Proceedings of Symposia in Pure Mathematics, pages 83--87. American Mathematics Society, Providence, RI, 1987.
  41. Shahriar Shahriari. On Fully Ramified Factor Groups. Report on the XIX OSU-Denison Math conference, The Ohio State University (1986), 29-30.
  42. Shahriar Shahriari. Capable Groups and Fully Ramified Characters. PhD thesis, University of Wisconsin-Madison, Madison, WI, May 1986.

    Expository Publications in Persian (Farsi):

  43. Shahriar Shahriari. The craft and art of teaching mathematics. Roshd Mathematics Education Journal (Roshd Amoozeshe Riazi), 30(1):6--7, 2012. In Persian.
  44. Shahriar Shahriari. The final resolution of Fermat's last theorem. In Fermat's Theorem, pages 193-228. Nashre Ney, Tehran, Iran, 2001. A final supplementary chapter for the Persian translation by Parviz Shahriari of Introduction to the theory of algebraic numbers by Mikhail Mikhailovich Postnikov, Izdat. "Nauka", Moscow, 1978.
  45. Shahriar Shahriari. From the Pigeon hole principle to Ramsey theory; An invitation to combinatorics, Reconciliation with Mathematics, 14, No. 4 (1992), 385-402.
  46. Shahriar Shahriari. Teaching Calculus in High-school: Why are tangent lines related to areas under curves? Reconciliation with Mathematics, 13, No. 1 (1990), 6-15.
  47. Shahriar Shahriari. The role of non-routine problems in the teaching of mathematics. Reconciliation with Mathematics, 12, No. 2 (1989), 129-143.
  48. Shahriar Shahriari. Prime Numbers. Reconciliation with Mathematics, 11, No. 3 (1988), 278-299.
  49. Shahriar Shahriari. Geometric Symmetries and Modern Algebra. Reconciliation with Mathematics, 10, No. 4\&5 (1987), 341-369.
  50. Shahriar Shahriari. You Can Count on Groups. Reconciliation with Mathematics, 10, No. 1 (1987), 49-62.
  51. Shahriar Shahriari. Mathematics and Group Decisions. Reconciliation with Mathematics, 6, No. 2 (1982), 153-158.
  52. Shahriar Shahriari. An Application of Difference Equations. Reconciliation with Mathematics, 4, No. 3 (1981), 22-26.
  53. Shahriar Shahriari. A Look at Optimal Control Theory. Reconciliation with Mathematics, 4, No. 2 (1980), 17-28.


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Revised: 1/15/15