Sen-Peng Eu
Professor
Department of Mathematics,
National Taiwan Normal University
senpengeu(at)gmail.com
● Research
1. Algebraic Combinatorics
2. Enumerative Combinatorics
3. Algebraic
Graph theory
4. Gifted
Education in Mathematics
● Teaching
2022 Autumn
1. Combinatorics (I)
[Graduate]
2. Problem Solving and Teaching (I)
Past courses
ever taught:
(Undergraduate
courses)
1. Advanced combinatorics,
2. Graph theory,
3. Introduction to Analysis,
4. Calculus (I), (II),
5. Topic in analysis,
6. Algorithm,
7. Number theory,
8. Algebra
9. Problem Solving and Teaching (I) (II)
(Graduate
courses)
1. Topics in Combinatorics,
2. Combinatorics (I)
(II)
● Editorial work
I am currently
one of the associate editors of
(1) Taiwanese
Journal of Mathematics
(2) Tamkang Journal of Mathematics
(3) Guest Editor
of the Special issue: "Conceptual and Empirical Studies into Equity
Gaps" of the journal Contemporary Educational Research Quarterly
(4) Guest Editor of the Special issue: "Excellence Gaps in Education" of the journal Education Sciences
● Publication
Mathematics
1. Y.J.
Cheng, Sen-Peng Eu, H. C. Hsu (2022), Statistics of
Partial Permutations via Catalan Matrices. Advances in Applied Mathematics,
accepted.
2. Y.J.
Cheng, M.C. Chou, Sen-Peng Eu, T.S. Fu, C.C. Yao,
(2022), On Signed Multiplicites of Schur Expansions Surrounding Petrie Symmetric Functions, Proceeding
of the American Mathemetical Society,
accepted.
3. Sen-Peng
Eu, T.S. Fu (2022), Springer Numbers and Arnold
Families Revisited, Arnold Mathematical Journal, accepted.
4. Sen-Peng
Eu, T.S. Fu, H.-H. Lai, Y.-H. Lo (2022),
Gamma-positivity for a Refinement of Median Genocchi
Numbers, The Electronic Journal of Combinatorics
29(2), Apr 2022, #P2.15.
5. H-L.
Chien, Sen-Peng Eu, T.-S.
Fu (2022), On Hankel Determinants for Dyck Paths with
Peaks Avoiding Multiple Classes of Heights, European Journal of Combinatorics, Volume 101, March 2022, 103478.
6. Sen-Peng
Eu, T.-S. Fu, Y.H. Lo (2022), Signed Mahonian on Parabolic Quotients of Colored Permutation
Groups, Advances in Applied Mathematics, Volume 132, January 2022,
102269.
7. Sen-Peng
Eu, Z. Lin, Y.H. Lo (2021), Signed Euler-Mahonian identities, European Journal of Combinatorics,
Volume 91, January 2021, 103209.
8. H.L.
Chang, Sen-Peng Eu, S. Fu, Z. Lin, Y.H. Lo (2021),
Character on G(r,1,n) and some new Signed Mahonian for Major and Sorting indices, Journal
of Algebraic Combinatorics, 53, 201226
(2021).
9. Sen-Peng
Eu, T.S. Fu, H.C. Hsu, H.C. Liao, W.L, Sun (2020),
Signed Mahonian Identities on Permutations with
Subsequence Restrictions, Journal of Combinatorial Theory, series A,
vol. 170.2, pp. 105-131, 2020
10. Sen-Peng
Eu, T.S. Fu, Y.J. Pan, C. T. Ting (2019), On
Enumeration of Families of Genus Zero Permutations, Graph and Combinatorics,
vol. 35.6, pp. 1337-1360, 2019.
11. Sen-Peng
Eu, T.S. Fu, H.C. Hsu, H.C. Liao (2018), Signed Countings of types B and D permutations and t,q-Euler Numbers, Advances
in Applied Mathematics, vol. 97, pp. 1-26, 2018
12. Sen-Peng
Eu, T.S. Fu, H.C. Hsu, Y.P. Hwang (2018), Fixed
Points of the Evacuation of Maximal Chains on Fuss Shapes, The Electronic Journal of Combinatorics, vol. 25.1, pp.1-25, 2018.
13. Sen-Peng
Eu, T.S. Fu, H.C. Hsu, (2018), A Simple
Transformation for Mahonian Statistics on Labelings of Rake Posets, Graph
and Combinatorics, vol
34-2, pp.373-381, 2018.
14. Sen-Peng
Eu, T.S. Fu, Y.C. Liang, T.L. Wong, (2017), On xD-generalizations of Stirling
numbers and Lah numbers via graphs and rooks, The
Electronic Journal of Combinatorics, vol.24,
no.2, pp.1-27, 2017.
15. T.Y.
Cheng, Sen-Peng Eu, T.S. Fu, Y.L. Lee (2017), Skew
standard domino tableaux and partial Motzkin paths, Annals
of Combinatorics, vol.21, no.1, pp.43-71,
2017.
16. Sen-Peng
Eu, H. Shin, S. Seo (2017),
Enumerations of vertices among all rooted ordered trees with levels and
degrees, Discrete Mathematics, vol. 340.9, pp. 2123-2129, 2017.
17. Sen-Peng
Eu, Y.H. Luo, T.L. Wong (2015), The sorting index on
colored permutations and even-signed permutations, Advances in Applied Mathematics,
no.69, pp.18-50, 2015.
18. Sen-Peng
Eu, T.S. Fu, Y.J. Pan, C.T. Ting (2015), Two Refined
Major-balance Identities on 321-avoiding Involutions, European Journal of Combinatorics, vol.49, pp.250-264, 2015.
19. H.L.
Chang, Sen-Peng Eu, P.L. Yan (2014), Variances and Determinantal Profiles of Orientations, Linear
Algebra and Its Applications, vol.457, pp.209-223, 2014.
20. H.L.
Chang, Sen-Peng Eu, Y.H. Luo (2014), Sign Imbalances
of Snakes and Valley Signed Permutations, Advances in Applied Mathematics,
vol. 59, 26-47, 2014.
21. S.H.
An, Sen-Peng Eu, S. Kim (2014), Large Schroder paths
by types and symmetric functions, Bulletin of the Korean Mathematical Society,
vol.51, No. 4, pp. 12291240, 2014.
22. Sen-Peng
Eu, T.S. Fu, Y.J. Pan (2014), A refined sign-balance
of simsun permutations, European Journal of Combinatorics, vol.36, pp.97-109, 2014.
23. Sen-Peng
Eu, T.S. Fu, J.T. Hou, T.W.
Hsu, (2013), Standard Young Tableaux and Colored Motzkin
Paths, Journal of Combinatorial Theory, series A, vol.120, no.7,
pp.1786-1803, 2013.
24. Sen-Peng
Eu, T.S. Fu, Y.J. Pan (2013), A Combinatorial Proof
of the Cyclic Sieving Phenomenon for Faces of Coxeterhedra,
Journal
of Combinatorial Optimization, vol.25, pp.617-638, 2013.
25. Sen-Peng
Eu, T.S. Fu, Y. J. Pan (2013), Baxter Permutations, Major-balance,
and Positive Braids, The Electronic Journal of Combinatorics , vol.19, pp.1-13, 2013.
26. Sen-Peng
Eu, P.L. Yan, T.L. Wong (2012), Hankel determinants
of sums of consecutive weighted Schroder numbers, Linear Algebra and Its
Application, vol.437, pp.2285-2299, 2012.
27. Sen-Peng
Eu, T.S. Fu, Y.J. Pan, C. T. Ting (2012),
Sign-balance identities of Adin-Roichman type on
321-avoiding alternating permutations, Discrete Mathematics, vol.312,
pp.2228-2237, 2012.
28. W.C.
Chuang, Sen-Peng Eu, T.S. Fu (2012), On Simsun and Double Simsun
Permutations Avoiding a Pattern of Length Three, Fundamenta Informaticae, vol.117, pp.155-177, 2012.
29. A.
Berget, Sen-Peng Eu, V.
Reiner (2011), Constructions for Cyclic Sieving Phenomenon, SIAM Journal of Discrete
Mathematics, vol.25, pp.1297-1314, 2011.
30. Sen-Peng
Eu, T.S. Fu, (2011), Exterior Pairs and Up Statisitics on Dyck Paths, Pairs
and Up Statisitics on Dyck
Paths, The Electronic Journal of Combinatorics,
vol.18, pp.1-15, 2011.
31. Sen-Peng
Eu, T.S. Fu, C.J. Lai (2011) ,
Cycle Lemma, Parking Functions and Related Multigraphs, Graph and Combinatorics
, vol.26, pp.345-360, 2011.
32. Sen-Peng
Eu, (2010), Skew-standard Young tableaux of three
rows, Advances in Applied Mathematics, pp.463-469, 2010.
33. Sen-Peng
Eu, T.S. Fu, Y.J. Pan (2010), The Cyclic Sieving
Phenomenon for Faces of Cyclic Polytopes, The Electronic Journal of Combinatorics, vol.17, pp.1-17, 2010.
34. Sen-Peng
Eu, S.C. Liu, Y.N. Yeh
(2008), Catalan and Motzkin numbers mod 4 and 8, European
Journal of Combinatorics , vol.29, pp.1449-1966, 2008.
35. D.
Armstrong, Sen-Peng Eu, (2008), Nonhomogeneous
Parking Functions and Noncrossing Partitions, The
Electronic Journal of Combinatorics, vol.15,
pp.1-13, 2008.
36. Sen-Peng
Eu, T.S. Fu, (2008), The Cyclic Sieving Phenomenon
for Faces of Generalized Cluster Complexes, Advances in Applied Mathematics,
vol.40, pp.350-376, 2008.
37. Sen-Peng
Eu, T.S. Fu, (2008), Lattice Paths and Generalized
Cluster Complexes, Journal of Combinatorial Theory, series A, vol.115, pp.1183-1210,
2008.
38. G.
Chang, Sen-Peng Eu, C.H. Yeh
(2007), On the antipodal Gray codes, Theoretical Computer Science,
vol.374, pp.82-90, 2007.
39. Sen-Peng
Eu, T.S. Fu, (2007), Area of Catalan Paths on
Checkerboard, European Journal of Combinatorics,
vol.28, pp.1331-1344, 2007.
40. Sen-Peng
Eu, S.C. Liu, Y.N. Yeh
(2006), On the Congruences of Some Combinatorial
Numbers, Studies in Applied Mathematics, vol.116, pp.135-144, 2006.
41. Sen-Peng
Eu, B.Y. Yang, Y.N. Yeh
(2006), Generalized Wiener Indices in Hexagonal Chains, International Journal of Quantum
Chemistry, vol.106, no.2, pp.426-435, 2006.
42. Sen-Peng
Eu, T.S. Fu, C.J. Lai (2005), On Enumeration of
Parking Functions by Leading Numbers, Advances in Applied Mathematics,
vol.35, pp.392-406, 2005.
43. Sen-Peng
Eu, T.S. Fu, Y.N. Yeh
(2005), Refined Chung-Feller Theorem, Journal of Combinatorial Theory, series A,
vol.112, pp.143-162, 2005.
44. Sen-Peng
Eu, T.S. Fu, (2005), A simple proof of the Aztec
Diamond Theorem, The Electronic Journal of Combinatorics,
vol.12, pp.1-8, 2005.
45. Sen-Peng
Eu, S.C. Liu, Y.N. Yeh
(2004), Odd or Even on Plane Trees, Discrete Mathematics, vol.281,
pp.189-196, 2004.
46. Sen-Peng
Eu, S.C. Liu, Y.N. Yeh
(2003), Dyck Paths with Peaks Avoiding or Restricted
to a Given Set, Studies in Applied Mathematics, vol.111, pp.453-465, 2003.
47. Sen-Peng
Eu, S.C. Liu, Y.N. Yeh
(2002), Taylor Expansion for Catalan and Motzkin
Numbers, Advances in Applied Mathematics, vol.29, pp.345-357, 2002.
Education Studies
1. A.
Ziegler, C.-C. Kuo, Sen-Peng Eu,
M. Glaeser-Zikuda, M. Nunez, H.-P.Yu, B. Harder (2021), Equity Gaps in Education:
Nine Points toward More Transparency, Education Science, 11(11), 711,
2021.
● Academic related (selected)
1. (Former)
Panel member of Review Board in Mathematics and Statistics, Ministry of Science
and Technology of Taiwan. 科技部數學學門審議委員會委員.
2. (Former)
Panel member of Advisory Board in Mathematics and Statistics, Ministry of
Science and Technology of Taiwan. 科技部數學學門諮議委員會委員.
3. (Former)
Panel member of board, Mathematics Research Promotion Center, Ministry of
Science and Technology of Taiwan. 數學研究推動中心委員.
● Education related (selected)
1. Editor
in Chief of High School Math Textbooks, widely used in Taiwan. 高中教科書主編
2. Observer/Depute
leader/Leader of Taiwanese IMO team (2006, 2007, 2008, 2009, 2011, 2014) 數學奧林匹亞國家代表隊觀察員/副領隊/領隊
3. Judge
of Shing-Tung Yau High
School Mathematics Awards, 2017 2019. 丘成桐數學獎評審
4. Judge
of Taiwan International Science Fair, 2012current. 台灣國際科展評審
5. Judge
of the Annual science Fair of Taiwan, 2012current. 全國科展評審
6. Judge
of Macronix Science Award, 2015- current. 旺宏科學獎評審
7. Member
of committee for APMO and IMO, Ministry of Education. 中華民國參加亞太暨國際數學奧林匹亞競賽工作小組委員
8. Member
of Advisory board of Science Fair, Ministry of Education. 科學展覽諮詢委員會委員
9. Judge
of National Mathematics Competition, 2010current (intermittently). 全國數學能力競賽評審
10. Advisory panel member of Taipei
Resource center for the Gifted and Talented 2014current. 北市資賦優異教育資源中心委員
● Personal Interests
1. Lieder,
especially Schubert. He is my God. 藝術歌曲, 舒伯特.
2. Various
kinds of songs, especially art songs and folksongs of various countries. I sing
fairly well and can sing hundreds of songs. 各式各樣的歌曲.
3. Classic
Music, especially piano related, from Baroque to mid-romantic. I play piano
just for fun. 古典音樂.
4. I
once was conductor of several choirs, won 10 times of 1st prizes in
national/regional competitions. 合唱指揮.
5. I
was the founder of several choirs, including the Mullers
Chamber Choir. 古老青春的合唱熱血
6. Crosswords,
especially NYT and SS. 縱橫字謎.
7. Origami,
the more complicated the better. 摺紙.
8. Fictions
and Short stories. I once won first prize in short stories and poetry of NTNU
writing competition back when I was an undergraduate. 小說, 短篇故事.
9. Feature
Reports. I am an avid reader. 專題報導.
Last update: 2022/9/16