19 citations · 67 across the 10 of their papers we have counts for
11 papers
Even and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)
Mikhail Khovanov, Alvaro L. Martinez, Fan Zhou
We write down generators and relations for a minimalist version of the nilHecke category which allows us to categorify the divided powers of a generating functor. We then classify…
BGG Resolutions, Koszulity, and Stratifications, Part I: the nilBrauer Algebra
Fan Zhou
In this paper we homologically construct a (functorial) BGG resolution of the finite-dimensional simple module of the nilBrauer algebra by using infinity-categorical methods follow…
A product-CLT and its application in invariance principle of random projection
JunTao Duan, Ionel Popescu, Fan Zhou
Johnson-Lindenstrauss lemma states random projections can be used as a topology preserving embedding technique for fixed vectors. In this paper, we try to understand how random pro…
On Eventually Periodic Sets as Minimal Additive Complements
Fan Zhou
We say a subset of an abelian group \textit{arises as a minimal additive complement} if there is some other subset of such that and…
The Voronoi formula on GL(3) with ramification
Fan Zhou
Firstly we prove that the Voronoi formula of Miller-Schmid type applies to automorphic forms on GL(3) for the congruence subgroup , when the conductor of the additive chara…
The balanced Voronoi formulas for GL(n)
Stephen D. Miller, Fan Zhou
In this paper we show how the GL(N) Voronoi summation formula of [MiSc2] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides. This generalize…
Plancherel distribution of Satake parameters of Maass cusp forms on
Jack Buttcane, Fan Zhou
We prove an equidistribution result for the Satake parameters of Maass cusp forms on with respect to the -adic Plancherel measure by using an application of the Kuznetsov…
The Voronoi formula and double Dirichlet series
Eren Mehmet Kiral, Fan Zhou
We prove a Voronoi formula for coefficients of a large class of -functions including Maass cusp forms, Rankin-Selberg convolutions, and certain isobaric sums. Our proof is based…
Voronoi Summation Formulae on GL(n)
Fan Zhou
We discover new Voronoi formulae for automorphic forms on GL() for . There are different Voronoi formulae on GL(), which are Poisson summation formulae weigh…
On the Hecke Eigenvalues of Maass Forms
Wenzhi Luo, Fan Zhou
Let denote a primitive Hecke-Maass cusp form for with the Laplacian eigenvalue . In this work we show that there exists a prime such that …
Weighted Sato-Tate Vertical Distribution of the Satake Parameter of Maass Forms on PGL(N)
Fan Zhou
We formulate a conjectured orthogonality relation between the Fourier coefficients of Maass forms on PGL(N) for N>=2. Based on the work of Goldfeld-Kontorovich and Blomer for N=3,…