Publications and Preprints
Please refer to the published versions along with the occasional errata. An arXiv link with a * means that the arXiv version is not up-to-date compared with the published or pdf version.
- David T.-B. G. Lilienfeldt
Twisted triple product root numbers and a cycle of Darmon-Rotger
Submitted (2024) (pdf | arXiv)
- David Jarossay, David T.-B. G. Lilienfeldt, Francesco Saettone, Ariel Weiss and Sa'ar Zehavi
Polylogarithmic motivic Chabauty-Kim for P1-{0,1,∞}: the geometric step via resultants
Submitted (2024) (pdf | arXiv | code)
- David T.-B. G. Lilienfeldt and Ari Shnidman
Derivatives of Rankin-Selberg L-functions and heights of generalized Heegner cycles
Submitted (2024) (pdf | arXiv | talk)
- David T.-B. G. Lilienfeldt and Ari Shnidman
Experiments with Ceresa classes of cyclic Fermat quotients
Proceedings of the American Mathematical Society 151 (2023), 931-947 (pdf | arXiv | code | journal)
- David T.-B. G. Lilienfeldt
Torsion properties of modified diagonal classes on triple products of modular curves
Canadian Mathematical Bulletin 66 (2023), 68-86 (arXiv* | journal)
- David T.-B. G. Lilienfeldt
Heegner cycles in Griffiths groups of Kuga-Sato varieties
Mathematical Research Letters, to appear (pdf | arXiv | journal)
- Pavel Čoupek, David T.-B. G. Lilienfeldt, Luciena X. Xiao, and Zijian Yao
Geometric quadratic Chabauty over number fields
Transactions of the American Mathematical Society 376 (2023), 2573-2613 (pdf | arXiv | journal)
- Massimo Bertolini, Henri Darmon, David Lilienfeldt, and Kartik Prasanna
Generalised Heegner cycles and the complex Abel-Jacobi map
Mathematische Zeitschrift 298 (2021), 385-418 (pdf
| journal | erratum)
Other Writings
- Algebraic cycles and Diophantine geometry: generalised Heegner cycles, quadratic Chabauty and diagonal cycles
PhD thesis (McGill University, 2021) under the supervision of Henri Darmon, defended on May 20, 2021, viii + 309 pages
(pdf | slides)
- L-series and arithmetic
MSc thesis (Harvard University/EPFL, 2016) under the supervision of Benedict H. Gross and Eva Bayer-Fluckiger, 192 pages
(pdf | poster)
- The Mordell-Weil Theorem
MSc semester project (EPFL, 2015) under the supervision of Eva-Bayer Fluckiger and Mathieu Huruguen, 93 pages
(pdf)
- Lagrangiens convexes et théorie de Tonelli
BSc 3rd year semester project (EPFL, 2014) under the supervision of Boris Buffoni, 54 pages
(pdf)
- Elliptic curves, modular forms and the Taniyama-Shimura conjecture
BSc 3rd year semester project (EPFL, 2013) under the supervision of Eva Byer-Fluckiger and Peter Jossen, 82 pages
(pdf)
- Differential equations on the Sierpinski Gasket
BSc 2nd year semester project (EPFL, 2013) with Hadrien Espic under the supervision of Tamas Hausel and Riccardo Grandi, 19 pages
(pdf | poster)
