Edvard Aksnes

I'm a PhD student in Mathematics at the University of Oslo. I work in tropical geometry.

Email: edvardak at math dot uio dot no

CV

Education

Doctoral Research Fellow in Mathematics, Tropical Geometry, University of Oslo, 2020-2023 (expected)

MSc. in Mathematics, Algebra and Geometry, University of Oslo, 2017-2019, Thesis

BSc. in Mathematics, Informatics and Technology, University of Oslo, 2015-2017

Work experience

Associate, AI/ML group, Risk Advisory Services, PwC Norway, August 2019 - August 2020

Research

Tropicalization of curve arrangement complements and arroids, 2024

Cohomologically tropical varieties, joint with Omid Amini, Matthieu Piquerez, Kris Shaw, 2023

Tropical Poincaré duality spaces, In: Advances in Geometry vol. 23, no. 3 (2023), pp. 345-370, ArXiv version, MathSciNet: MR4626316

Talks

Tropical Poincaré duality spaces, The Fields Institute Matroid seminar, 2023-03-0

"What is cohomology?", Young People Seminar UiO, 2022-06-07

The Grothendieck and Leray spectral sequences, Student seminar, 2022-05-20

The Hodge Decomposition, Student seminar, 2022-03-25

Tropical Poincaré duality spaces, LAGARTOS, 2022-03-25

Newtonian physics, special relativity and some general relativity, Student seminar, University of Oslo, 2021-04-15

Fundamental groups in real and complex algebraic geometry, Student seminar, University of Oslo, 2021-01-28

Events attended

Non-exhaustive list:

ICERM: Combinatorial Algebraic Geometry, Feb 1 - May 7, 2021
Seminar series on basics of (Weil's) Riemann hypothesis, March - June 2021, University of Oslo
CAS Oslo: Real Structures in Discrete, Algebraic, Symplectic and Tropical Geometries, Oslo, 2 - 5 August 2021
Tropical homology and Hodge theory, 23 - 27 August 2021
Göran Gustafsson Symposium, Hodge theory and comb. of matroids, Mittag-Leffler, 30 May - 01 June 2022
Topics in real and tropical algebraic geometry, Sophus Lie Conf. Center, Nordfjordeid, 20 - 24 June 2022
Non-Archimedean and Tropical Geometry, Regensburg, 1 - 5 August 2022
Nasjonalt Matematikermøte, Tromsø, 1 - 2 September 2022
Real Algebraic Geometry, CIRM, 24 - 28 October 2022
Real Aspects of Geometry, CIRM, 31 October - 4 November 2022
MaTroCom, Workshop on Matroids and Tropical Combinatorics, QMU London, 9 January - 13 January 2023
Tropical Methods in Geometry, Mathematisches Forschungsinstitut Oberwolfach, 14 May - 19 May 2023
Regular attendance in the LAGARTOS seminar
Regular attendance in the UiO Algebra Seminar

Posts

Computing the boundary complex using Macaulay2, 2023-05-08

What is the sheaf of meromorphic \(p\)-forms \(\Omega_X^k(*D)\)?, 2022-06-10

Plotting complex functions with Julia, 2021-03-27, (slow loading)

Manifolds: Topological, Smooth, Complex, Kähler (Work in Progresss)

Links

Here are some links to useful pages / pages I like: