RESEARCH

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The following is a list of research papers I have (co-)authored. Names marked with an asterisk (*) indicate undergraduate student co-authors.

  1. A lifting of the Goulden–Jackson cluster method to the Malvenuto–Reutenauer algebra. To appear in Algebr. Comb.
  2. Fibonacci numbers, consecutive patterns, and inverse peaks, with Justin M. Troyka. Adv. in Appl. Math. 141: Article #102406, 19 pp., 2022.
  3. Refined consecutive pattern enumeration via a generalized cluster method. Proceedings of FPSAC 2022, Sém. Lothar. Combin. 86B: Article #2, 12 pp., 2022.
  4. Plethystic formulas for permutation enumeration, with Ira M. Gessel. Adv. Math. 375: Article #107370, 55 pp., 2020.
  5. Counting permutations by peaks, descents, and cycle type, with Ira M. Gessel. Proceedings of FPSAC 2020, Sém. Lothar. Combin. 84B: Article #12, 12 pp., 2020.
  6. On the joint distribution of cyclic valleys and excedances over conjugacy classes of 𝕾n , with M. Crossan Cooper* and William S. Jones*. Adv. in Appl. Math. 115: Article #101999, 15 pp., 2020.
  7. Hopping from Chebyshev polynomials to permutation statistics, with Jordan O. Tirrell. Electron. J. Combin. 26(3): Paper #P3.27, 17 pp., 2019.
  8. Homomorphisms on noncommutative symmetric functions and permutation enumeration, with Ira M. Gessel. Proceedings of FPSAC 2019, Sém. Lothar. Combin. 82B: Article #6, 12 pp., 2019.
  9. Shuffle-compatible descent statistics and quotients of quasisymmetric functions, with Ira M. Gessel. Proceedings of FPSAC 2018, Sém. Lothar. Combin. 80B: Article #5, 12 pp., 2018.
  10. Shuffle-compatible permutation statistics, with Ira M. Gessel. Adv. Math. 332: 85–141, 2018.
  11. A generalized Goulden–Jackson cluster method and lattice path enumeration. Discrete Math. 341(2): 358–379, 2018.
  12. Eulerian polynomials and descent statistics. Adv. in Appl. Math. 90: 86–144, 2017.
  13. Counting permutations by runs. J. Combin. Theory Ser. A 142: 147–176, 2016.
  14. Logarithmic representability of integers as k-sums, with Anant P. Godbole, Samuel Gutekunst, and Vince Lyzinski. Proceedings of Integers 2013: The Erdős Centennial Conference, Integers 15A: Paper #A5, 15 pp., 2015.
  15. Counting permutations by alternating descents, with Ira M. Gessel. Electron. J. Combin. 21(4): Paper #P4.23, 21 pp., 2014.
  16. Shattering thresholds for random systems of sets, words, and permutations, with Anant P. Godbole and Samantha Pinella. Proceedings of Permutation Patterns 2012, Pure Math. Appl. (PU.M.A.) 24(2): 125–142, 2013.

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