Those who are interested can download my curriculum vitae, or my PhD thesis.

Papers and preprints:

  1. Some Results on Two Conjectures of Schützenberger (with M. Desgroseilliers, B. Larose and C. Malvenuto)
    Canadian Mathematical Bulletin, Vol. 53 (3), 2010, pp. 453-465
  2. Drinfeld modular forms modulo P
    Proceedings of the American Mathematical Society, Vol. 138 (12), 2010, pp. 4217-4229
  3. Osculation points at the cusps of Drinfeld modular curves (unpublished note)
  4. On the trace and norm maps from Gamma0(P) to GL2(A)
    Journal of Number Theory, Vol. 142, 2014, pp. 18-43
  5. Appendix for Galois representations attached to moments of Kloosterman sums and conjectures of Evans by Z. Yun
    Compositio Mathematica, Vol. 151, 2015, pp. 68-120
    Here is the code for the computation and a list of Fourier coefficients
  6. Weierstrass points on the Drinfeld modular curve X0(P)
    Research in the Mathematical Sciences, Vol. 2 (10), 2015
  7. Zeta functions of a class of Artin-Schreier curves with many automorphisms (with I. Bouw, W. Ho, B. Malmskog, R. Scheidler and P. Srinivasan)
    Directions in Number Theory, Assoc. Women Math. Ser., 3, Springer, 2016, pp. 87–124
  8. Constructing genus 3 hyperelliptic Jacobians with complex multiplication (with J.S. Balakrishnan, S. Ionica and K. Lauter)
    LMS Journal of Computation and Mathematics, Vol. 19 (A), 2016, pp. 283-300.
    Here is a link to the repository where the code is held
  9. A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary
    Advances in the Mathematical Sciences, Assoc. Women Math. Ser., 15, Springer, 2018, pp. 79-95
  10. Modular invariants for genus 3 hyperelliptic curves (with S. Ionica, P. Kilicer, K. Lauter, E. Lorenzo Garcia, M. Massierer and A. Manzateanu)
    Res. Number Theory, Vol. 5 (1), 2019, 22 pp.
  11. Appendix for An inverse Jacobian algorithm for Picard curves by J.-C. Lario and A. Somoza,
    Res. Number Theory, Vol. 7 (2), 2021, 23 pp.
  12. A robust implementation for solving the S-unit equation and several applications (with A. Alvarado, A. Koutsianas, B. Malmskog, C. Rasmussen, and M. West)
    Arithmetic geometry, number theory, and computation, a volume of the Simons Symposia series by Springer, 2021, pp. 1-41
  13. Isogeny classes of abelian varieties over finite fields in the LMFDB (with T. Dupuy, K. Kedlaya, and D. Roe)
    Arithmetic geometry, number theory, and computation, a volume of the Simons Symposia series by Springer, 2021, pp. 375-448
  14. Efficient Differentially Private Secure Aggregation for Federated Learning via Hardness of Learning with Errors (ordered author list: T. Stevens, C. Skalka, C. Vincent, J. Ring, S. Clark, J. Near)
    32st USENIX Security Symposium (USENIX Security 22), 2022, pp. 1379-1395
  15. Counterexamples to a conjecture of Ahmadi and Shparlinski (with T. Dupuy, K. Kedlaya, and D. Roe)
    Experimental Mathematics, vol. 32 (3), 2023, pp. 540-544.
  16. Failing to hash into supersingular isogeny graphs (with J. Booher, R. Bowden, J. Doliskani, T. B. Fouotsa, S. D. Galbraith, S. Kunzweiler, S.-P. Merz, C. Petit, B. Smith, K. E. Stange, Y. B. Ti, J. F. Voloch, C. Weitkämper, L. Zobernig)
    abstract appeared in CFAIL 2022, full article submitted for publication
  17. Determining the primes of bad reduction of CM curves of genus 3 (with S. Ionica, P. Kilicer, K. Lauter, E. Lorenzo Garcia, and A. Manzateanu)
    submitted for publication

Theses I have advised