معرفی
Maksym Fedorchuk is a Professor in the Department of Mathematics at Boston College. He holds a S.B. from MIT and a Ph.D. from Harvard University. His research focuses on algebraic geometry, particularly moduli problems and geometric invariant theory (GIT). He has contributed significantly to the Hassett-Keel program, exploring log canonical models of moduli spaces of curves, and has studied GIT stability of syzygies and Hilbert points of curves. His work often involves collaborations on topics like moduli spaces of weighted stable curves, Fano varieties, and the geometry of canonical curves.
Key research themes include stability conditions in GIT, log minimal model programs for moduli spaces, and the interplay between algebraic geometry and combinatorial structures. Fedorchuk has published extensively in top journals such as Inventiones mathematicae, Compositio Mathematica, and Duke Math. J.. His recent work addresses K-moduli of Fano varieties and the symmetric F-conjecture. He has also developed computational tools, including a Macaulay2 package for analyzing direct sum decomposability of polynomials.
Professional activities include organizing workshops such as AGNES@BC 2024 and maintaining an active research page with preprints and lecture notes. His contributions bridge foundational theory with computational methods, influencing both pure algebraic geometry and adjacent fields like quantum information through moduli of qubit states.
