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 (Fall 2018):

 MWF: 2:10 - 3:00 PM;
 MTW: 11:00 - 11:50 AM
  (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, classical groups, permutation groups, loops, partially ordered sets, group characters and representations.
  • Recent work:

-- Investigations on association schemes with elementary abelian thin residue (joint with Kijung Kim and Bangteng Xu). Discrete Math 340 (2017), 2813-2821.

-- On the Wiener index, distance cospectrality and transmission regular graphs (joint with A. Abiad, B. Brimkov, A. Erey, L. Leshock, X. Martinez-Rivera, S. O and J. Wiiliford). Discrete Applied Math 230 (2017), 1-10. (arXiv:1609.06911 in \underline{})

-- 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 2018 (For course information go to Canvas)

  • Design Theory and Association Schemes (Math 605) (Class Meeting Time (and Place): MWF 1:10 -- 2:00 PM. (Carver 002))
  • Graduate Student Orientation (Math 591)(with Susan Johnson) (W 4:10 -- 5:00 PM. (Carver 184))
  • Creative Component (Math 599) in Design Theory
  • Graduate Research (Math 699) in Algebraic Combinatorics

Courses Taught


Ph.D. Students

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

  • Robert Lazar: Dec 2017, ISU (Association schemes and designs in symplectic vector spaces over finite fields)
  • Darren Rasberry: May 2017, Mercy College of Health Sciences (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



This page updated on 07/22/2018 5:10PM

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