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
2021-now. 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. 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
Jan 2024. The 1st Sizihwan Combinatorics Memorial Conference, National Sun Yat-sen University.
Cyclotomic numbers, Schur rings and their applications. Slide.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. nDec 2020. Annual Meeting of Taiwanese Mathematical Society, Fu-Jen Catholic University, Taiwan. Info.
Multiplicative Jordan Decomposition and Nilpotent Decomposition in Integral Group Rings. Slide.Dec 2019. Nikolaus Conference 2019, RWTH Aachen University, Aachen, Germany. Info.
The Multiplicative Jordan Decomposition in Integral Group Rings. Slide.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]. Slide.
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 Taiwan Normal University
Fall 2023. Topics on Group Rings (I) (with Professor Chia-Hsin Liu).
Basic Calculus. Link.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.
Resources
arXiv, CoCalc, GAP, GeoGebra, GroupNames, JCR, LMFDB, MathOverflow, MathSciNet, Math Stack Exchange, OEIS, Overleaf, quiver, WolframAlpha