Carina Letong Hong

(she/her/hers)

I am a graduate student at Stanford University.

Research Interests:

number theory, combinatorics, and probability.

Email:

Chinese first name + (no space) last name at yahoo dot com

cl + (no space) last name at stanford dot edu




Publications

Publications

  • L. Hong, K. Ono, and S. Zhang, Euler-Kronecker constants for cyclotomic fields . Bull. Aust. Math. Soc., Cambridge University Press, 30 May 2022, pp. 1-6.
  • L. Hong and R. Li, Length-Four Pattern Avoidance in Inversion Sequences. Electron. J. Comb., Volume 29, Issue 4 (2022), P4.37.
  • L. Hong, The Pop Operator on Tamari Lattices. Adv. Appl. Math., Volume 139, August 2022, 102362.
  • L. Hong, M. H. Mertens, K. Ono, and S. Zhang, Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang. Proc. Am. Math. Soc., 150 (2022), 5047-5056.
  • L. Hong and S. Zhang, No extremal square-free words over large alphabets. Combin. Theory., 7, 17 (2021).
  • L. Hong and I. Miklós, A Markov chain on the solution space of edge-colorings of bipartite graphs. Discrete Appl. Math. Volume 332, 15 June 2023, Pages 7-22.
  • L. Hong and S. Zhang, Proof of the Ballantine–Merca Conjecture and theta function identities modulo 2. Proc. Am. Math. Soc., in press.
  • L. Hong and S. Zhang, Appendix to H. Cohen, Lambert W-Function Branch Identities.
  • L. Hong and S. Zhang, Towards Heim and Neuhauser’s Unimodality Conjecture on the Nekrasov–Okounkov polynomials. Res. Number Theory 7, 17 (2021).
  • M. Amir and L. Hong, On L-Functions of modular elliptic curves and certain K3 surfaces. Ramanujan J. (2021).