Xiudidun linguan plus#
Extended plus closure in complete local rings (with Raymond Heitmann), J.
Xiudidun linguan full#
Cohomologically full rings (with Hailong Dao and Alessandro De Stefani), Int.Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras (with Karl Schwede), Duke Math.Covers of rational double points in mixed characteristic (with Javier Carvajal-Rojas, Thomas Polstra, Karl Schwede and Kevin Tucker), J.Koszul and local cohomology, and a question of Dutta (with Anurag Singh and Uli Walther), Math.Maximal Cohen-Macaulay complexes and their uses: a partial survey (with Srikanth Iyengar, Karl Schwede and Mark Walker), Commutative Algebra, 475-500, Springer, Cham, 2021 (dedicated to David Eisenbud).An analog of adjoint ideals and PLT singularities in mixed characteristic (with Karl Schwede, Kevin Tucker, Joe Waldron and Jakub Witaszek), J.Symbolic power containments in singular rings in positive characteristic (with Eloisa Grifo and Karl Schwede), Manuscripta Math., to appear.Lim Ulrich sequences and Lech's conjecture, Invent.1, 141-150 (special issue dedicated to Nguyen Tu Cuong). F-stable secondary representations and deformation of F-injectivity (with Alessandro De Stefani), Acta Math.Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic (with Bhargav Bhatt, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron and Jakub Witaszek).F-singularities: a commutative algebra approach (with Thomas Polstra).Multiplicities and Betti numbers in local algebra via lim Ulrich points (with Srikanth Iyengar and Mark Walker), Algebra Number Theory 16 (2022), no.A Buchsbaum theory for tight closure (with Pham Hung Quy), Trans.A short proof of the direct summand theorem via the flatness lemma.Uniform Lech's inequality (with Ilya Smirnov).Lim Ulrich sequences and Boij-Soderberg cones (with Srikanth Iyengar and Mark Walker).Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups (with Hanlin Cai, Seungsu Lee, Karl Schwede and Kevin Tucker).Lim Cohen-Macaulay sequences of modules (with Bhargav Bhatt and Melvin Hochster).My research interests are commutative algebra and algebraic geometry. I obtained my Ph.D in May 2014 at the University of Michigan under the direction of I am an Associate Professor of mathematics at
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