HR job title
- Professor
- Contact Info
- 1 979 422 9676
- ORCiD
- 0000-0003-0062-5564
Yan, Catherine Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
I have research interests in Algebraic Combinatorics, Probabilistic Methods, Ordered Algebraic Structures, and Discrete Structures.
Research Areas
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
- Other
- View All
Overview
Publications
selected publications
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academicarticle
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Adeniran, A., & Yan, C.
(2021).
Gonarov polynomials in partition lattices and exponential families. 126, 102045-102045.
-
King, W., & Yan, C. H.
(2020).
Parking Functions on Directed Graphs and Some Directed Trees. The Electronic Journal of Combinatorics.
27(2),
-
Cai, Y., & Yan, C. H.
(2020).
Vector parking functions with periodic boundaries and rational parking functions. Journal of Combinatorial Theory Series A.
173, 105239-105239.
-
Khare, N., Lorentz, R., & Yan, C. H.
(2017).
Moments of matching statistics. Journal of Combinatorics.
8(1), 1-27.
-
Lorentz, R., Tringali, S., & Yan, C. H.
(2017).
Multivariate delta GonCarov and Abel polynomials. Journal of Mathematical Analysis and Applications.
446(1), 663-680.
-
Phillipson, M., & Yan, C. H.
(2016).
Avoiding Monotone Chains in Fillings of Layer Polyominoes. Annals of Combinatorics.
20(4), 883-897.
-
Lorentz, R., & Yan, C. H.
(2016).
Bivariate affine Goncarov polynomials. Discrete Mathematics.
339(9), 2371-2383.
-
Linz, W., & Yan, C.
(2015).
Derangements on a Ferrers board. Discrete Mathematics, Algorithms and Applications.
7(03), 1550036-1550036.
-
Poznanovic, S., & Yan, C. H.
(2015).
Maximal increasing sequences in fillings of almost-moon polyominoes. Advances in Applied Mathematics.
66, 1-21.
-
Yan, C. H., & Poznanovi, S.
(2015).
Maximal increasing sequences in fillings of almost-moon polyominoes. DMTCS Proceedings, 27th International Confere(Proceedings),
-
Khare, N., Lorentz, R., & Yan, C. H.
(2014).
Bivariate Gonarov polynomials and integer sequences. Science China Mathematics.
57(8), 1561-1578.
-
Phillipson, M., Yan, C. H., & Yeh, J.
(2013).
Chains of Length 2 in Fillings of Layer Polyominoes. The Electronic Journal of Combinatorics.
20(3),
-
Schumacher, P., & Yan, C. H.
(2013).
On the Enumeration of Non-Crossing Pairings of Well-Balanced Binary Strings. Annals of Combinatorics.
17(2), 379-391.
-
Wang, A., & Yan, C. H.
(2013).
Positive and negative chains in charged moon polyominoes. Advances in Applied Mathematics.
51(4), 467-482.
-
Lee, J., Yan, C. H., & Yang, Y. i.
(2012).
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity. Symmetry, Integrability and Geometry: Methods and Applications.
8.
-
Song, C., & Yan, C.
(2012).
Descents of permutations in a ferrers board. The Electronic Journal of Combinatorics.
19.
-
Chen, W., Wang, A., Yan, C. H., & Zhao, A.
(2010).
MIXED STATISTICS ON 01-FILLINGS OF MOON POLYOMINOES. SIAM Journal on Discrete Mathematics.
24(4), 1272-1290.
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Chen, W., Poznanovic, S., Yan, C. H., & Yang, A.
(2010).
Major index for 01-fillings of moon polyominoes. Journal of Combinatorial Theory Series A.
117(8), 1058-1081.
-
Kung, J., Sun, X., & Yan, C.
(2009).
Corrigendum to Two-boundary lattice paths and parking functions [Adv. in Appl. Math. 39 (4) (2007) 515524]. 43(2), 197-198.
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Kung, J., de Mier, A., Sun, X., & Yan, C.
(2009).
Lattice and Schrder paths with periodic boundaries. Journal of Statistical Planning and Inference.
139(6), 2014-2027.
-
Poznanovi, S., & Yan, C.
(2009).
Crossings and Nestings of Two Edges in Set Partitions. SIAM Journal on Discrete Mathematics.
23(2), 787-804.
-
Chen, W., Gessel, I. M., Yan, C. H., & Yang, A.
(2008).
A major index for matchings and set partitions. Journal of Combinatorial Theory Series A.
115(6), 1069-1076.
-
Ellis, R. B., Ponomarenko, V., & Yan, C. H.
(2008).
How to play the one-lie Renyi-Ulam game. Discrete Mathematics.
308(23), 5805-5808.
-
Chen, W., Wu, S., & Yan, C. H.
(2008).
Linked partitions and linked cycles. European Journal of Combinatorics.
29(6), 1408-1426.
-
Kostic, D., & Yan, C. H.
(2008).
Multiparking functions, graph searching, and the Tutte polynomial. Advances in Applied Mathematics.
40(1), 73-97.
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Chen, W., Deng, E., Du, R., Stanley, R. P., & Yan, C. H.
(2007).
Crossings and nestings of matchings and partitions. Transactions of the American Mathematical Society.
359(4), 1555-1575.
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Chen, W., Deng, E., Du, R., Stanley, R. P., & Yan, C. H.
(2007).
Crossings and nestings of matchings and partitions. Transactions of the American Mathematical Society.
359(4), 1555-1575.
-
Kung, J., de Mier, A., Sun, X., & Yan, C.
(2007).
Lattice paths with periodic boundaries. Electronic Notes in Discrete Mathematics.
29(SPEC. ISS.), 59-63.
-
Kung, J., Sun, X., & Yan, C.
(2007).
Two-boundary lattice paths and parking functions. 39(4), 515-524.
-
Ellis, R. B., Jia, X., & Yan, C.
(2006).
On random points in the unit disk. Random Structures and Algorithms.
29(1), 14-25.
-
Graham, R. L., Lagarias, J. C., Mallows, C. L., Wilks, A. R., & Yan, C. H.
(2006).
Apollonian circle packings: Geometry and group theory II. Super-Apollonian group and integral packings. Discrete and Computational Geometry: an international journal of mathematics and computer science.
35(1), 1-36.
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Graham, R. L., Lagarias, J. C., Mallows, C. L., Wilks, A. R., & Yan, C. H.
(2006).
Apollonian circle packings: Geometry and group theory III. Higher dimensions. Discrete and Computational Geometry: an international journal of mathematics and computer science.
35(1), 37-72.
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Graham, R. L., Lagarias, J. C., Mallows, C. L., Wilks, A. R., & Yan, C. H.
(2005).
Apollonian circle packings: Geometry and group theory I. The Apollonian group. Discrete and Computational Geometry: an international journal of mathematics and computer science.
34(4), 547-585.
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Ellis, R. B., Ponomarenko, V., & Yan, C. H.
(2005).
The Renyi-Ulam pathological liar game with a fixed number of lies. Journal of Combinatorial Theory Series A.
112(2), 328-336.
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Ellis, R. B., & Yan, C. H.
(2004).
Ulam's pathological liar game with one half-lie. International Journal of Mathematics and Mathematical Sciences.
2004(29), 1523-1532.
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Kung, J., & Yan, C. H.
(2003).
Six problems of Gian-Carlo Rota in lattice theory and universal algebra. Algebra Universalis.
49(2), 113-127.
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Spencer, J., & Yan, C. H.
(2003).
The halflie problem. Journal of Combinatorial Theory Series A.
103(1), 69-89.
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Graham, R. L., Lagarias, J. C., Mallows, C. L., Wilks, A. R., & Yan, C. H.
(2003).
Apollonian circle packings: number theory. Journal of Number Theory.
100(1), 1-45.
-
Dumitriu, I., Spencer, J., & Yan, C.
(2003).
Branching Processes with Negative Offspring Distributions. Annals of Combinatorics.
7(1), 35-47.
-
Kung, J., & Yan, C.
(2003).
Exact formulas for moments of sums of classical parking functions. 31(1), 215-241.
-
Kung, J., & Yan, C.
(2003).
Expected Sums of General Parking Functions. Annals of Combinatorics.
7(4), 481-493.
-
Dykema, K., & Yan, C.
(2003).
Generating functions for moments of the quasi-nilpotent DT-operator. 30(3), 545-561.
-
Kung, J., & Yan, C.
(2003).
Goncarov polynomials and parking functions. Journal of Combinatorial Theory Series A.
102(1), 16-37.
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Liu, K. F., Yan, C., & Zhou, J.
(2002).
Hirzebruch chi(y) genera of the Hilbert schemes of surfaces by localization formula. Science in China Series A: Mathematics.
45(4), 420-431.
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Yan, C. H.
(2001).
Generalized parking functions, tree inversions, and multicolored graphs. Advances in Applied Mathematics.
27(2-3), 641-670.
-
Yan, C. H.
(2000).
Arguesian Identities in the Congruence Variety of Abelian Groups. Advances in Mathematics.
150(1), 36-79.
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Mainetti, M., & Yan, C. H.
(2000).
Geometric Identities in Lattice Theory. Journal of Combinatorial Theory Series A.
91(1-2), 411-450.
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Peng, H., & Yan, C. H.
(2000).
On the discrepancy of strongly unimodular matrices. Discrete Mathematics.
219(1-3), 223-233.
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Mainetti, M., & Yan, C. H.
(1999).
Arguesian Identities in Linear Lattices. Advances in Mathematics.
144(1), 50-93.
-
Yan, C. H.
(1999).
The Theory of Commuting Boolean Sigma-Algebras. Advances in Mathematics.
144(1), 94-116.
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Mainetti, M., & Yan, C. H.
(1998).
Graphical operations on projective spaces. Annals of Combinatorics.
2(3), 243-289.
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Boyallian, C., Kac, V. G., Liberati, J. I., & Yan, C. H.
(1998).
Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle. Journal of Mathematical Physics.
39(5), 2910-2928.
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Yan, C. H.
(1998).
Distributive laws for commuting equivalence relations. Discrete Mathematics.
181(1-3), 295-298.
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Peng, H., & Yan, C. H.
(1998).
Balancing Game with a Buffer. 21(2), 193-204.
-
Yan, C. H.
(1998).
Commuting quasi-order relations. Discrete Mathematics.
183(1-3), 285-292.
-
Yan, C. H.
(1998).
Decomposition of Lebesgue Spaces. Advances in Mathematics.
135(2), 330-350.
-
Kac, V. G., Wang, W., & Yan, C. H.
(1998).
Quasifinite Representations of Classical Lie Subalgebras of W1+. Advances in Mathematics.
139(1), 56-140.
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Crants, J. T., & Yan, C. H.
(1998).
The Theory of Commuting Subalgebras of Complete Heyting Algebras. Advances in Mathematics.
139(2), 260-292.
-
Yan, C. H.
(1997).
Generalized Tree Inversions andk-Parking Functions. Journal of Combinatorial Theory Series A.
79(2), 268-280.
-
Schenck, H., Schroll, S., & Yan, C.
Introduction to the Special Issue dedicated to Joseph Kung. 126, 102148-102148.
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Snider, L., & Yan, C.
U -parking functions and (p,q)-parking functions. 134, 102309-102309.
-
Adeniran, A., & Yan, C.
(2021).
Gonarov polynomials in partition lattices and exponential families. 126, 102045-102045.
-
book
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Kung, J., Rota, G., & Yan, C. H.
(2009).
Combinatorics: The Rota Way. Cambridge University Press (CUP).
-
Kung, J., Rota, G., & Yan, C. H.
(2009).
Combinatorics: The Rota Way. Cambridge University Press (CUP).
-
chapter
-
Adeniran, A., Snider, L., & Yan, C.
(2022).
Multivariate difference Gonarov polynomials. Number Theory and Combinatorics.
(pp. 1-20).
DE GRUYTER.
-
Lorentz, R., Tringali, S., & Yan, C. H.
(2018).
Generalized Gonarov Polynomials. Connections in Discrete Mathematics.
(pp. 56-85).
Cambridge University Press (CUP).
-
Kung, J., & Yan, C. H.
(2009).
Combinatorics: The Rota Way Preface. COMBINATORICS: THE ROTA WAY.
(pp. IX-+).
-
Kung, J., & Yan, C. H.
(2009).
Determinants, Matrices, and Polynomials. COMBINATORICS: THE ROTA WAY.
(pp. 272-323).
-
Kung, J., & Yan, C. H.
(2009).
Generating Functions and the Umbral Calculus. COMBINATORICS: THE ROTA WAY.
(pp. 178-221).
-
Kung, J., & Yan, C. H.
(2009).
Matching Theory. COMBINATORICS: THE ROTA WAY.
(pp. 53-105).
-
Kung, J., & Yan, C. H.
(2009).
Partially Ordered Sets and Lattices. COMBINATORICS: THE ROTA WAY.
(pp. 106-177).
-
Kung, J., & Yan, C. H.
(2009).
Selected Solutions. COMBINATORICS: THE ROTA WAY.
(pp. 324-368).
-
Kung, J., & Yan, C. H.
(2009).
Sets, Functions, and Relations. COMBINATORICS: THE ROTA WAY.
(pp. 1-52).
-
Kung, J., & Yan, C. H.
(2009).
Symmetric Functions and Baxter Algebras. COMBINATORICS: THE ROTA WAY.
(pp. 222-271).
-
Adeniran, A., Snider, L., & Yan, C.
(2022).
Multivariate difference Gonarov polynomials. Number Theory and Combinatorics.
(pp. 1-20).
DE GRUYTER.
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conference paper
-
Zhao, A., Yan, C. H., Wang, A., & Chen, W.
(2010).
Mixed Statistics on $01$-Fillings of Moon Polyominoes. Discrete Mathematics and Theoretical Computer Science.
613-624.
-
Kosti, D., & Yan, C.
(2007).
Multiparking functions, graph searching, and the Tutte polynomial extended abstract
-
Ellis, R. B., Martin, J. L., & Yan, C.
(2007).
Random geometric graph diameter in the unit ball. Algorithmica: an international journal in computer science.
421-438.
-
Zhao, A., Yan, C. H., Wang, A., & Chen, W.
(2010).
Mixed Statistics on $01$-Fillings of Moon Polyominoes. Discrete Mathematics and Theoretical Computer Science.
613-624.
-
institutional repository document
-
Adeniran, A., Snider, L., & Yan, C.
(2020).
Multivariate Difference Gonarov Polynomials
-
Adeniran, A., & Yan, C.
(2019).
Gonarov Polynomials in Partition Lattices and Exponential Families
-
Lorentz, R., Tringali, S., & Yan, C. H.
(2016).
Multivariate Delta Goncarov and Abel Polynomials
-
Lorentz, R., Tringali, S., & Yan, C. H.
(2015).
Generalized Goncarov polynomials
-
Chen, W., Wang, A., Yan, C. H., & Zhao, A.
(2009).
Mixed Statistics on 01-Fillings of Moon Polyominoes
-
Chen, W., Gessel, I. M., Yan, C. H., & Yang, A.
(2007).
A major index for matchings and set partitions
-
Kung, J., de Mier, A., Sun, X., & Yan, C. H.
(2007).
Lattice and Schroder paths with periodic boundaries
-
Chen, W., Deng, E., Du, R., Stanley, R. P., & Yan, C. H.
(2005).
Crossings and Nestings of Matchings and Partitions
-
Snider, L., & Yan, C.
($mathfrak{S}_p imes mathfrak{S}_q$)-Invariant Graphical Parking Functions
-
Berikkyzy, Z., Harris, P. E., Pun, A., Yan, C., & Zhao, C.
Combinatorial Identities for Vacillating Tableaux
-
Berikkyzy, Z., Harris, P. E., Pun, A., Yan, C., & Zhao, C.
On the Limiting Vacillating Tableaux for Integer Sequences
-
King, W., & Yan, C. H.
Prime Parking Functions on Rooted Trees
-
Adeniran, A., Snider, L., & Yan, C.
(2020).
Multivariate Difference Gonarov Polynomials
Research
principal investigator on
- CombinaTexas 2020 awarded by Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States) 2020 - 2021
- CombinaTexas 2018 awarded by National Science Foundation - (Arlington, Virginia, United States) 2017 - 2018
- Problems In Enumerative Combinarorics and Applications awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2016
co-principal investigator on
Teaching
teaching activities
- MATH302 Discrete Mathematics Instructor
- MATH304 Linear Algebra Instructor
- MATH431 Struc Meth Combinatorics Instructor
- MATH467 Hnr-modern Geometry Instructor
- MATH491 Research Instructor
- MATH613 Graph Theory Instructor
- MATH630 Combinatorics Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Kostic, Dimitrije Nenad (2009-05). Graph searching and a generalized parking function.
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Linz, William Barham (2016-04). Investigation of a Markov Chain on Ferrers Boards.
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Pattillo, Jeffrey (2012-02). Mathematical Foundations and Algorithms for Clique Relaxations in Networks.
-
Phillipson, Mitchell (2015-05). Monotone Sequences in Combinatorial Structures.
-
Poznanovikj, Svetlana (2011-10). Research on Combinatorial Statistics: Crossings and Nestings in Discrete Structures.
-
Schumacher, Paul R. (2010-01). Parking Functions And Generalized Catalan Numbers.
Background
education and training
- Ph.D. in Pure Mathematics, Massachusetts Institute of Technology - (Cambridge, Massachusetts, United States) 1997
- B.S. in Mathematics, Beijing University of Technology - (Beijing, Beijing, China) 1993
awards and honors
- Fellow, conferred by American Mathematical Society - (Providence, Rhode Island, United States), 2018
- Sloan Research Fellowship-Mathematics, conferred by Alfred P. Sloan Foundation - (New York, New York, United States), 2001
- School of Mathematics/Members, conferred by Institute for Advanced Study - (Princeton, New Jersey, United States), 2000
Contact
first name
- Catherine
has last name
- Yan
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- huafei-yan@tamu.edu