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I am a PhD student of the Shanghai Center for Mathmatical Sciences, Fudan University.
I recieved my master degree from the School of Mathematical Sciences, University of Science and Technology of China .
I recieved my bachelor degree from the School of Mathematics And Computational Science, Xiangtan University .
CV.Email address: rxfang21@m.fudan.edu.cn, rxfang@mail.ustc.edu.cn
Study interests: Arithmetic Geometry, Algebraic Topology , (p-adic) Hodge Theory, Automorphic Representation, Model theory and Proof Theory. (That means I am willing to study the knowledge of these areas, or I pefer to read the papers related to these areas.)
Seminar talk -Introduction to Class field Theory hand-writing notes.
A document for an english course presentation slides.
Rational points and obstruction theory hand-writing notes.
Master's thesis defense slides.
See the work of Harpaz and Schlank, Homotopy obstructions to rational points.
For the material of Etale homotopy theory, one can see Etale homotopy of simplicial schemes.
For an etale homotopy theoretical way of the explanation for Poonen's counterexample, one may see Brauer and Etale Homotopy Obstructions to Rational Points on Open Covers.
Lambda Algebra and Adams Spectral Sequence(Be careful of typos).
There is an analogue in motivic world, motivic lambda algebra.THE MOTIVIC LAMBDA ALGEBRA AND MOTIVIC HOPF INVARIANT ONE PROBLEM.
Notes on Cohomology of SL_n(\mathbb{Z})(Be careful of typos).
Notes on Periodicity Theorem(Be careful of typos).
Notes on Moduli Problems(Be careful of typos).
Notes on Grothendieck Ring of Varieties(Be careful of typos).
Algebraic K-theory and K-theory of assembler.
A syllabus for a seminar of topics around synthetic spectra.
I submitted a paper to arxiv, https://arxiv.org/abs/2503.20383.
Useful links