Education

• Ph.D. in Mathematics, Cornell University.
• M.S. in Mathematics, University of Toronto.
• B.S. in Pure and Applied Mathematics, University of Toronto.

• Algebraic combinatorics including topics in graph theory and Gröbner geometry
• General interaction between algebraic geometry, commutative algebra, and combinatorics
• Toric varieties, Schubert varieties, Hessenberg varieties, and Frobenius splittings

Select Publications

• Sergio Da Silva and Megumi Harada, Geometric Vertex Decomposition, Gröbner Bases, and Frobenius Splittings for Regular Nilpotent Hessenberg Varieties, 2022, Arxiv submission 2207.08573. (Submitted to Transformation Groups.)
• Michael Cummings, Sergio Da Silva, Jenna Rajchgot and Adam Van Tuyl, Geometric Vertex Decomposition and Liaison for Toric Ideals of Graphs, 2022, Arxiv submission 2207.06391. (Submitted to Algebraic Combinatorics.)
• Jaydeep Chipalkatti and Sergio Da Silva, Degenerations of Pascal Lines, 2022, Beiträge zur Algebra und Geometrie, 2022.
• YG Liang, Sergio Da Silva and Yang Zhang, The Tensor Rank Problem over the Quaternions, Linear Algebra and its Applications, Vol. 620, 2021, 37-60.

• Sergio Da Silva, Strict Bott-Samelson Resolutions of Schubert Varieties,
  Experimental Mathematics, Vol. 28 (3), 2019, 313-321.