Nikolai Opdan

Contact:

Research

Preprints

• Lectures on the Cohomology of Reciprocity Sheaves, To appear in the Motivic Geometry Lecture series (A MSP Open Book series) (2022). Joint with Kay Rülling.
  
• Introduction to Framed Correspondences, To appear in the Motivic Geometry Lecture series (A MSP Open Book series) (2022). Joint with Marc Hoyois.
  

In preperation

• Modules over Logmotivic Cohomology.
• Slices of the log motivic sphere.
• Enriched motivic functors.

Misc

• Logarithmic motives with compact support. Master thesis (2021).
• Attacking SIKE. A Survey of known attacks against the proposed post-crypto protocol SIKE (2021).
  Update: SIKE is insecure after a successful (classical) attack was published in July 2022.

Short CV

• Doctoral Research Fellow in Mathematics, Geometry and Topology, University of Oslo, March 2022-June 2025
• Research assistant, University of Oslo, December 2021-February 2022.
• NSM Summer internship, Post-Quantum cryptography, June-August 2021.
• MSc. in Mathematics, Algebraic geometry and algebraic topology, University of Oslo, 2020-2021.
• BSc. in Mathematics, Informatics and Technology, University of Oslo, 2017-2020.

• Full CV

Events

• IWoAT 2024 summer school on motivic homotopy theory, Shanghai, 23–27 June 2024.
• Motivic homotopy in interaction, CIRM Marseilles, 4-8 November 2024.

• Oslo Stability and Enumerative Geometry Workshop 2023, Oslo, 11-15 December 2023.
• Motives in Mainz, Mainz, 18-22 March 2024.
• Oka Theory and Complex Geometry Conference, Sophus Lie center, 19-23 June 2023.
• Research visit, University of Milan, 7-15 May 2023.
• Cartan Geometry and Related Topics, Geilo, 5-9 March 2023.
• Northern Lights Deep Learning Conference 2023, Tromsø, 9-13 January 2023.
• Arithmetic Algebraic Geometry conference, Darmstadt, 3-7 October 2022.
• Organizer of Motivic Geometry Conference, University of Oslo, 8-12 August 2022.
• Harnessing Motivic Invariants, Essen, 27 June - 1 July 2022.
• Research visit, University of Milan, April-May 2022.
• Arithmetic and geometry of varieties with trivial canocical bundle, Oslo, 12-14 December 2021.
• Motivic Summer School and Conference on The Six-Functor Formalism and Motivic Homotopy Theory, University of Milan, September 20-24 2021.
• Motivic Geometry project., Center for Advanced Studies, Oslo, Spring semester 2021.