Machine Learning

Google scholar page

Mathematics

Research statement outlining my research on computational complexity theory in pure mathematics.

• Categorical Complexity (with S. Basu) – to appear in Sigma, arxiv link
• Complexity Classes and Completeness in Algebraic Geometry, Foundations of Computational Mathematics, arxiv link
• On the Derived Categories of Degree d Hypersurface Fibrations (with M. Ballard, D. Deliu, D. Favero and L. Katzarkov) – Mathematische Annalen, arxiv link
• Resolutions in factorization categories (with M. Ballard, D. Deliu, D. Favero and L. Katzarkov) – Advances in Mathematics, arxiv link
• Homological Projective Duality via Variation of Geometric Invariant Theory Quotients (with M. Ballard, D. Deliu, D. Favero and L. Katzarkov) – Journal of the European Mathematical Society, arxiv link
  Oberwolfach report: Homological Projective Duality for GIT quotients
• Equivalence of the Derived Category of a Variety with a Singularity Category, – International Mathematics Research Notices, arxiv link

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Old writings:

• Undergraduate research project: Maximal non-commuting subsets of groups
  
• Survey: Computational Problems in the Braid Group with Applications to Cryptography