I'm interested in algebraic structures on combinatorial objects, and their interplay with Markov chains. My current research themes are * Markov chains driven by linear operators * Subalgebras of Solomon's descent algebra

* Pang, C.Y.A. Lumpings of Algebraic Markov Chains Arise from Subquotients (2019) Journal of Theoretical Probability, 32 (4), pp. 1804-1844. * Josuat-Vergès, M., Pang, C.Y.A. Subalgebras of Solomon's descent algebra based on alternating runs (2018) Journal of Combinatorial Theory. Series A, 158, pp. 36-65. * Amy Pang, C.Y. Card-shuffling via convolutions of projections on combinatorial Hopf algebras (2015) Discrete Mathematics and Theoretical Computer Science, pp. 49-60. * Diaconis, P., Pang, C.Y.A., Ram, A. Hopf algebras and Markov chains: Two examples and a theory (2014) Journal of Algebraic Combinatorics, 39 (3), pp. 527-585. * Pang, C.Y.A. A Hopf-power Markov chain on compositions (2013) Discrete Mathematics and Theoretical Computer Science, pp. 469-480. * Aguiar, M., André, C., Benedetti, C., Bergeron, N., Chen, Z., Diaconis, P., Hendrickson, A., Hsiao, S., Isaacs, I.M., Jedwab, A., Johnson, K., Karaali, G., Lauve, A., Le, T., Lewis, S., Li, H., Magaard, K., Marberg, E., Novelli, J.-C., Pang, A., Saliola, F., Tevlin, L., Thibon, J.-Y., Thiem, N., Venkateswaran, V., Vinroot, C.R., Yan, N., Zabrocki, M. Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (2012) Advances in Mathematics, 229 (4), pp. 2310-2337. * Aguiar, M., André, C., Benedetti, C., Bergeron, N., Chen, Z., Diaconis, P., Hendrickson, A., Hsiao, S., Isaacs, I.M., Jedwab, A., Johnson, K., Karaali, G., Lauve, A., Le, T., Lewis, S., Li, H., Magaard, K., Marberg, E., Novelli, J.-C., Pang, A., Saliola, F., Tevlin, L., Thibon, J.-Y., Thiem, N., Venkateswaran, V., Vinroot, C.R., Yan, N., Zabrocki, M. Supercharacters, symmetric functions in noncommuting variables, extended abstract (2011) FPSAC'11 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics, pp. 3-14.