David Ter-Borch Gram Lilienfeldt

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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) 15 pages
• 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) 31 pages
• 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) 75 pages
• 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 31 (2024), 459-509 (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)

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