Sung-Yell Song

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

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

  Office Hours (Summer 2017):

 TR: 2:10 - 4:00 PM;
  W: 1:10 - 4:00 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:

-- Further results on association schemes with elementary abelian thin residue (joint with Kijung Kim and Bangteng Xu). (submitted for publication)

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

-- Combinatorial extensions of Terwilliger algebras and wreath products of association schemes (joint with Bangteng Xu and Shenglin Zhou). Discrete Math 340 (2017), 892--905.

-- Normally regular digraphs, association schemes, and related combinatorial structures (joint with Leif Jorgensen, Gareth Jones and Mikhail Klin). Seminaire Lotharingien de Combinatoire, vol. 71 (2013/14), 39pp. (on-line version available at

-- A family of partial geometric designs from three-class association schemes (joint with Katy Nowak and Oktay Olmez). Journal of Combinatorial Designs 24 (2016), no. 12, 533--552.

-- Partial geometric difference families. Journal of Combinatorial Designs (joint with Katy Nowak and Oktay Olmez). 24 (2016), 112--131.

-- 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 2017 (For course information go to Blackboard)

  • Graph Theory (Math 567) (Class Meeting Time (and Place): TR 12:40 -- 2:00 PM. (TBA))
  • Graduate Student Orientation (Math 591) (W 4:10 5:00 PM. (TBA))
  • Creative Component (Math 599) in Design Theory
  • Graduate Research (Math 699) in Algebraic Combinatorics

Courses Taught


Ph.D. Students Supervised

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

  • Robert Lazar: Current, ISU (Designs and certain geometries in finite fields)
  • Darrin Rasberry: May 2017, (On minimal support solutions of underdetermined systems of linear equations) Dissertation supervised by Dr. Irvin Hentzel
  • 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) Co-supervised with Dr. Ling Long
  • Mandi Maxwell: May 2005, Trinity College in Chicago (Almost perfect nonlinear functions and related combinatorial structures) Co-supervised with Dr. Clifford Bergman

Curriculum Vitae


Links to



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