Education

• Ph.D. National Taiwan Normal University, Taiwan, 2020

• M.S. National Cheng Kung University, Taiwan, 2012

• B.S. National Taiwan Normal University, Taiwan, 2010

Research Interests

Group Rings, Group Theory, Representation Theory, Algebraic Combinatorics, Enumerative Combinatorics.

Experiences

• 2024-now. Assistant Professor, Department of Mathematics, National Kaohsiung Normal University.

• 2021-2024. Postdoc, Department of Mathematics, National Taiwan Normal University.

• 2019-2020. Visit Professor Eric Jespers at Vrije Universiteit Brussel in Belgium for six months supported by Ministry of Education in Taiwan.

• 2013-2014. Research trainee, Institute of Mathematics, Academia Sinica.

• 2012-2013. One Year Military Service.

• 2012. 40 days Summer School for Topics in Combinatorics and Graph Theory, Institute of Mathematics, Academia Sinica.

Publications

• L.-C. Hsia, H.-C. Li and W.-L. Sun. Conflict-avoiding codes of prime lengths and cyclotomic numbers. IEEE Trans. Inform. Theory, 70 (10) (2024), 6834-6841. doi:10.1109/TIT.2024.3439714. arXiv.
  (An extra note on the density of primes related to above article: A note on prime index of a certain subgroup in F_p*. arXiv.)

• L.-C. Hsia, H.-C. Li and W.-L. Sun. Certain diagonal equations and conflict-avoiding codes of prime lengths.  Finite Fields Appl. 92 (2023), 102298, 21 pp. doi: 10.1016/j.ffa.2023.102298. arXiv. 

• E. Jespers and W.-L. Sun. Nilpotent decomposition in integral group rings. J. Algebra, 575 (2021), 127-158. doi:10.1016/j.jalgebra.2021.01.041. arXiv.

• W.-L. Sun. Multiplicative Jordan Decomposition and Nilpotent Decomposition in Integral Group Rings. Ph.D. thesis, 2020, 104 pp. doi:10.6345/NTNU202000897.

• S.-P. Eu, T.-S. Fu, H.-C. Hsu, H.-C. Liao and W.-L. Sun. Signed mahonian identities on permutations with subsequence restrictions. Sém. Lothar. Combin. 82B (2020), Art. 21, 12 pp.

• S.-P. Eu, T.-S. Fu, H.-C. Hsu, H.-C. Liao and W.-L. Sun. Signed mahonian identities on permutations with subsequence restrictions. J. Combin. Theory Ser. A, 170 (2020), 105131, 24 pp. doi:10.1016/j.jcta.2019.105131.

• W. Kuo and W.-L. Sun. The multiplicative Jordan decomposition in the integral group ring Z[Q_8 x C_p]. J. Algebra, 534 (2019), 16-33. doi:10.1016/j.jalgebra.2019.06.015. arXiv.

• W.-L. Sun. Linear recurrence relation of order 2 and 3, and polynomials. Mathmedia (Chinese), 147 (2013), 52-67. Link.

• W.-L. Sun. Products of Conjugacy Classes in Some Finite Groups and Related Problems. Master's thesis, 2012, 71 pp. doi:10.6844/NCKU.2012.01407.

Talks

• Jun 2025. The 26th Conference of the International Linear Algebra Society, National Sun Yat-sen University.
  Power difference sets and cyclotomic matrices.

• Apr 2025. Department of Applied Mathematics, National University of Kaohsiung.
  On Cyclotomic Numbers and Their Uses. S

• Sep 2024. Department of Applied Mathematics, National Pingtung University.
  Cyclotomic numbers and related applications.

• Jan 2024. The 1st Sizihwan Combinatorics Memorial Conference, National Sun Yat-sen University.
  Cyclotomic numbers, Schur rings and their applications. 

• Feb 2023. Department of Mathematics, National Kaohsiung Normal University.
  Conflict-Avoiding Codes of Prime Lengths and the Hamming Weight Three.

• Oct 2022. Department of Applied Mathematics, National Sun Yat-sen University.
  Optimal Conflict-Avoiding Codes of Prime Lengths and the Weight Three.

• Feb-Jun 2021. TWAG Study Group.
  Course - Introduction to Representation Theory of Finite Groups. n

• Dec 2020. Annual Meeting of Taiwanese Mathematical Society, Fu-Jen Catholic University, Taiwan. Info.
  Multiplicative Jordan Decomposition and Nilpotent Decomposition in Integral Group Rings. 

• Dec 2019. Nikolaus Conference 2019, RWTH Aachen University, Aachen, Germany. Info.
  The Multiplicative Jordan Decomposition in Integral Group Rings. 

• Jun 2019. Groups, Rings and Associated Structures 2019, Spa, Belgium. Info.
  The Multiplicative Jordan Decomposition in the Integral Group Ring Z[Q_8 x C_p]. 

• Jun 2017. Algebra Seminar, National Taiwan Normal University.
  The normalizer problem for integral group rings.

• Jun 2016. Algebra Seminar, National Taiwan Normal University.
  Pythagorean triples and units in Z[D_4].

Teaching Courses

Department of Mathematics, National Kaohsiung Normal University

• Fall 2025.
  Abstract Algebra (I)
  Calculus
  Topics in Algebra

• Spring 2025.
  Abstract Algebra (II)
  Calculus
  Special Topics in Algebra

• Fall 2024.
  Abstract Algebra (I)
  Calculus
  Topics in Algebra

Department of Mathematics, National Taiwan Normal University

• Spring 2024. Topics on Group Rings (II) (with Professor Chia-Hsin Liu).

• Fall 2023. Basic Calculus. Link.
                        Topics on Group Rings (I) (with Professor Chia-Hsin Liu).

• Spring 2023. Algebra and Number Theory (II) (with Professor Liang-Chung Hsia).

• Fall 2022. Basic Calculus.

• Spring 2022. Topics on Lie Algebras (with Professor Chia-Hsin Liu). 

Honors and Awards

• 2017. Superior Performance as a Teaching Assistant, Department of Mathematics, National Taiwan Normal University.

• 2015. Scholarship Award, in Honor of Outstanding Performance, National Taiwan Normal University.

• 2015. Superior Performance as a Teaching Assistant, Department of Mathematics, National Taiwan Normal University.

• 2012. Silver Medal, Best Paper Award for Master Thesis, The Mathematical Society of the Republic of China.

• 2012. Chen's Math Book Award, National Cheng Kung University.

Teaching Assistant

Department of Mathematics, National Taiwan Normal University

• Spring 2017. Complex Function Theory. Solutions.

• Fall 2016. Complex Function Theory. Solutions.

• Spring 2015. Algebra (II). Homeworks and solutions.

• Fall 2014. Algebra (I). Homeworks and solutions.

Resources

AGTA, arXiv, CoCalc, GAP, GeoGebra, GroupNames, JCR, LMFDB, MathOverflow, MathSciNet, Math Stack Exchange,  OEIS, Overleaf, quiver, WolframAlpha

List of primes