Jiacheng Xia

PhD student, Mathematical Sciences

I am working on special cycles on Shimura varieties, which form the heart of the Kudla Program in arithmetic geometry. More specifically, part of my work aims to prove modularity of symmetric formal Fourier-Jacobi series in certain Hermitian cases.
MMG500, Algebraiska strukturer (with Per Salberger)
TMS062, Matematisk statistik
Number theory, more specifically Siegel (and Hermitian) modular forms, Jacobi forms, theta series, toroidal compactifications of unitary Shimura varieties
​Rational designs
Products of Eisenstein series
Modularity of symmetric formal Fourier-Jacobi series: Hermitian cases

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