Research

You will find here my completed papers and preprints. 

I welcome any comments, corrections, or discussions: please feel free to contact me .

Notes and Expository Work

Visualizing Inverse Functions with a Transparent Sheet  -- Submitted to The American Mathematical Monthly (2025).

Preprints

(One of many contributing authors) Phan, Long, et al. Humanity's Last Exam. arXiv preprint: 2501.14249 (2025).

Published Papers

S. ROSSET, C. FALLET, and G.-Y. SIRAT. Focusing by a high numerical aperture lens of distributions generated by conical diffraction. Optics Letters, 2014, vol. 39, no 23, p. 6569-6572.

Others

My PhD Thesis  (Defended in 2020, uploaded to the arXiv here in 2022).

• Derivation of comparison formulas relating quantum K-invariants of different flag varieties G/P and G/P′;
  
  
• Explicit computations and structural results for the quantum K-ring QK(Fl(1,n−1)) including products of Schubert classes in low degrees, and some positivity results;
  
  
• A generalization of Kleiman’s transversality theorem to the setting of schemes over an arbitrary fixed base, with applications to the study of genericity in enumerative geometry.