Research

Here are links to (most of) my papers.

  1. (with J. Lebl) Rational Maps of Balls and their Associated Groups, accepted São Paulo J. Math. (arXiv).
  2. (with S. Paul, D. Moore-Russo) 3D Manipulatives in Integral Calculus: Student Achievement and Confidence in Solids-Of-Revolution Tasks, accepted Investigations in Mathematics Learning (IML).
  3. (with J. Brooks, S. Curry, P. Gupta, V. Kunz, A. Malcom, K. Palencia) Constructing Group-Invariant CR Mappings Complex Anal. Synerg. 8 (2022), no. 4, Paper No. 20, 7 pp. (arXiv).
  4. (with J. Brooks, H. Schenck) Algebraic properties of Hermitian sums of squares, II, Proc. Amer. Math. Soc. 150 (2022), no. 8, 3471–3476. (arXiv).
  5. (with D. Barrett) Sums of CR and projective dual CR functions, Pure Appl. Math. Q. 18 (2022), no. 2, 371–394. (arXiv).
  6. (with J. Brooks) Sum of Squares Conjecture: the Monomial Case in C^3, Math. Z. 299 (2021), no. 1-2, 919–940. (arXiv).
  7. (with S. Kim) Properties of Certain Sparse Circulant Determinants, Involve 14 (2021), no. 2, 311–326.
  8. (with J. D’Angelo, J. Lebl). Rational sphere maps, linear programming, and compressed sensing, Complex Anal. Synerg. 6 (2020), no. 1, Paper No. 4, 14 pp. (arXiv).
  9. (with D. Barrett) Projective-umbilic points of circular real hypersurfaces in C^2, Proc. Amer. Math. Soc. 148 (2020), no. 12, 5241–5248. (arXiv).
  10. (with J. Brooks) Algebraic properties of Hermitian sums of squares, Complex Var. Elliptic Equ. 65 (2020), no. 4, 695–712.
  11. (with B. Stensones, L. Simon) Sup-norm Estimates for dbar in C^3, Pure Appl. Math. Q. 18 (2022), no. 2, 531–571. (arXiv).
  12. (with K. Linsuain, B. Whitaker) Invariant CR Mappings between Hyperquadrics, Illinois J. Math. 62 (2018), no. 1-4, 321–340. (arXiv).
  13. (with D. Barrett) Sums of CR functions from competing CR structures, Pacific J. Math. 293 (2018), no. 2, 257–275. (arXiv).
  14. (with J. Lebl) Initial monomial invariants of holomorphic maps, Math. Z. 282 (2016), no. 1-2, 371–387. (arXiv).
  15. (with J. Halfpap) An Application of Macaulay’s Estimate to CR Geometry, Proc. Amer. Math. Soc. 143 (2015), no. 4, 1411–1422. (arXiv).
  16. (with J. Lebl, L. Vivas) Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics, Math. Ann. 358 (2014), no. 3-4, 1059–1089. (arXiv).
  17. Group-invariant CR Mappings (PhD thesis).
  18. Signature Pairs for Group-Invariant Hermitian Polynomials, Internat. J. Math. 22 (2011), no. 3, 311–343. (arXiv).