I am a PhD candidate in math arrived in 2017 at Stony Brook University. I
am interested in topology, especially of manifolds and algebraic
varieties. My advisor is Dennis
Office: 3105, Math Department, Stony Brook University
Almost complex manifolds
with total Betti number three (submitted).
symmetric products of rational algebras and spaces (published in Comptes Rendus Mathématique)
resolution of singularities for talks I gave at City
University of New York Graduate Center Topology, Geometry and Physics
seminar in November 2019, at University of Science and Technology of China
in December 2019, and at University of Pennsylvania deformation theory
seminar in February 2020.
cohomology and elliptic genera for a series of talks I gave at
student topology seminar in spring 2020, Stony Brook University.
and Adams operations from easy algebra This is a detailed note
attempting to interpret Jack Morava's point that "the dual Steenrod
algebra is the automorphism group of the additive group". In particular,
we solve the equations f(x+y)=f(x)+f(y) and f(x+y+xy)=f(x)+f(y)+f(x)f(y)
by formal power series with coefficients in the field of p
elements, and then relate the space of solutions to Steenrod and Adams
Quaternionic Clifford modules,
spin^h manifolds and symplectic K-theory for a talk I gave at
Topology/Geometry Zoom seminar at University of Oregon in March 2022.
A new operation on differential forms This is an English translation of a paper of Cartier written in French.
Notes on Stable Homotopy Theory