Sung-Yell Song

scription: Description: Description: Description: Description: Description:

  Associate Professor
  Department of Mathematics
  442 Carver Hall
  Iowa State University
  Ames, IA 50011
Telephone: (515)-294-5866
  Fax: (515)-294-5454

  Office Hours (Fall 2015):

 MWF: 10:00 - 10:50 AM;
  MWF: 2:10 3:00 PM
 (or by appointment)



Research Interests

  • Algebraic Combinatorics; in particular, theory of association schemes; schemes are combinatorial configurations which may be viewed as generalized groups and generalized distance-regular graphs. The theory provides a foundation of an algebraic approach to error-correcting codes and combinatorial designs.
  • Interests also lie in other combinatorial and algebraic objects, such as, combinatorial designs, distance-regular graphs, codes, matrix theory, extremal set theory, cryptography, classical groups, permutation groups, loops, partially ordered sets, group characters and representations.
  • Recent work:

-- A family of designs over finite fields (joint with Grant Bowling, Kavi Duvvoori and Robert Lazar). (in preparation)

-- Combinatorial direct sums of Terwilliger algebras and coherent configurations (joint with Bangteng Xu and Shenglin Zhou). (in preparation).

-- Normally regular digraphs, association schemes, and related combinatorial structures (joint with Leif Jorgensen, Gareth Jones and Mikhail Klin). Seminaire Lotharingien de Combinatoire, vol. 71 (2014), 39pp. (on-line version available at

-- Links between orthogonal arrays, association schemes and partial geometric designs (joint with Katy Nowak and Oktay Olmez). Submitted (available in arXiv.1501.01684) 22 pp.

-- Partial geometric difference families. Journal of Combinatorial Designs (joint with Katy Nowak and Oktay Olmez). To appear. (on-line version available in the journal website: DOI 10.1002/jcd.21416.) 20 pp.

-- Some families of directed strongly regular graphs obtained from certain finite incidence structures (joint with Oktay Olmez). Graphs and Combinatorics, 30 (2014), no.6, 1529--1549.

-- Directed strongly regular graphs from one-and-half designs (joint with Andries Brouwer and Oktay Olmez). European Journal of Combinatorics, 33 (2012), pp. 1174--1177.

Publication List


Teaching Schedule

Fall 2015 (For course information go to Blackboard)

Courses Taught


Ph.D. Students Supervised

(Name: degree conferred or anticipated dates, current affiliation, dissertation title)

  • Kathleen Nowak: May 2015, Pacific Northwest National Laboratory (Partial geometric designs and difference families)
  • Oktay Olmez: May 2012, Ankara University, Faculty of Science (On highly regular digraphs)
  • Gargi Bhattacharyya: May 2008, Occidental College, CA (Terwilliger algebras of wreath products of association schemes)
  • Juhyung Kim: August 2005, Wonkwang University, Korea (Classification of small-class association schemes obtained from certain combinatorial objects) with Dr. Ling Long
  • Mandi Maxwell: May 2005, Trinity College in Chicago (Almost perfect nonlinear functions and related combinatorial structures) with Dr. Clifford Bergman

Curriculum Vitae


Links to



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