21 citations · 42 across the 10 of their papers we have counts for
11 papers
-adic moments of -functions
Daniel Kriz, Asbjørn Christian Nordentoft
We obtain a formula for the -adic valuation of weighted moments of central -values of holomorphic cusp forms twisted by Dirichlet characters of order . In some cases we gi…
Horizontal -adic -functions
Daniel Kriz, Asbjørn Christian Nordentoft
We define new objects called 'horizontal -adic -functions' associated to -values of twists of elliptic curves over by characters of -power order and conduc…
Supersingular main conjectures, Sylvester's conjecture and Goldfeld's conjecture
Daniel Kriz
We prove a -converse theorem for elliptic curves with complex multiplication by the ring of integers of an imaginary quadratic field in which…
A New -adic Maass-Shimura operator and Supersingular Rankin-Selberg -adic -functions
Daniel Kriz
We give a construction of a new -adic Maass-Shimura operator defined on an affinoid subdomain of the preperfectoid -adic universal cover of a modular curve .…
Prime twists of elliptic curves
Daniel Kriz, Chao Li
For certain elliptic curves with , we prove a criterion for prime twists of to have analytic rank 0 or 1, based on a mo…
Heegner points at Eisenstein primes and twists of elliptic curves
Daniel Kriz, Chao Li
Given an elliptic curve over , a celebrated conjecture of Goldfeld asserts that a positive proportion of its quadratic twists should have analytic rank 0 (resp. 1).…
Congruences between Heegner points and quadratic twists of elliptic curves
Daniel Kriz, Chao Li
We establish a congruence formula between -adic logarithms of Heegner points for two elliptic curves with the same mod Galois representation. As a first application, we use…
Generalized Heegner cycles at Eisenstein primes and the Katz -adic -function
Daniel Kriz
In this paper, we consider normalized newforms whose non-constant term Fourier coefficients are congruent to those of an Eisenstein series modulo s…
On the maximal cross number of unique factorization indexed multisets
Daniel Kriz
In this paper, we study a conjecture of Gao and Wang concerning a proposed formula for the maximal cross number taken over all unique factorization indexed mult…
Field theories, stable homotopy theory and Khovanov homology
Po Hu, Daniel Kriz, Igor Kriz
In this paper, we discuss two topics: first, we show how to convert 1+1-topological quantum field theories valued in symmetric bimonoidal categories into stable homotopical data, u…
A spanning tree cohomology theory for links
Daniel Kriz, Igor Kriz
In their recent preprint, Baldwin, Ozsváth and Szabó defined a twisted version (with coefficients in a Novikov ring) of a spectral sequence, previously defined by Ozsváth and Szabó…