D. Lilienfeldt

collaborators

4 papers

math.NT2026

Elements in $K_{4}$ and regulator maps of Fermat curves

François Brunault, David T. -B. G. Lilienfeldt, Yusuke Nemoto

We construct explicit elements in the group $K_{4}^{(3)}$ of the Fermat curves $x^{N} + y^{N} = 1$ for all $N \geq 3$ . The construction, which is uniform in $N$ , uses polylogarithmic complexe…

math.NT2024

Twisted triple product root numbers and a cycle of Darmon-Rotger

David T. -B. G. Lilienfeldt

We consider an algebraic cycle on the triple product of the prime level modular curve $X_{0} (p)$ with origins in work of Darmon and Rotger. It is defined over the quadratic extension…

math.NT2024

Derivatives of Rankin-Selberg $L$ -functions and heights of generalized Heegner cycles

David T. -B. G. Lilienfeldt, Ari Shnidman

Let $f$ be a newform of weight $2 k$ and let $χ$ be an unramified imaginary quadratic Hecke character of infinity type $(2 t, 0)$ , for some integer $0 < t \leq k - 1$ . We show that the…

math.NT2024

Polylogarithmic motivic Chabauty-Kim for $P^{1} ∖ {0, 1, \infty}$ : the geometric step via resultants

David Jarossay, David T. -B. G. Lilienfeldt, Francesco Maria Saettone +2

Given a finite set $S$ of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for $P^{1} ∖ {0, 1, \infty}$ using resul…

Elements in K4​ and regulator maps of Fermat curves

Twisted triple product root numbers and a cycle of Darmon-Rotger

Derivatives of Rankin-Selberg L-functions and heights of generalized Heegner cycles

Polylogarithmic motivic Chabauty-Kim for P1∖{0,1,∞}: the geometric step via resultants

Elements in $K_{4}$ and regulator maps of Fermat curves

Derivatives of Rankin-Selberg $L$ -functions and heights of generalized Heegner cycles

Polylogarithmic motivic Chabauty-Kim for $P^{1} ∖ {0, 1, \infty}$ : the geometric step via resultants