Research output per year
Research output per year
Personal profile
Research
My research area "Computational Tropical Algebraic Geometry" is concerned with the interplay between polynomial equations, polyhedra and algorithms. Ideally algortihms are implemented and applied. In the same way that we know that a general quadratic polynoial has (at most) two solutions because its degree is two, polyhedra can be used to argue about multivariate systems of polynomial equations. A long term goal is to push these methods as far as possible on Smale's 6th problem in celestial mechanics.
Teaching
I have been lecturing the bachelor course "Algebra" since 2019. When possible I emphasise the last chapter of the text book about Gröbner bases. This theory is background material for a good part of the bachelor projects that I supervise. Other topis for bachelor and master theses are related to "Graph Theory 2" that I was teaching in the Math-Economy porgramme. Typically projects are concerned with algorithmic or combinatorial aspects of math. Other topics for my master courses have been in tropical geometry and polynomial system solving.
Areas of expertise
- Algebra
- Algoritmer
- Polyhedral Geometry
- Gröbner Bases
- Systems of polynomial equations
Fingerprint
Dive into the research topics where Anders Nedergaard Jensen is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
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Smale's 6th problem for generic masses
Jensen, A. N. & Leykin, A., 5 Jan 2023, (In preparation) 5 p.Research output: Working paper/Preprint › Working paper › Research
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Solving polynomial systems via homotopy continuation and monodromy
Duff, T., Hill, C., Jensen, A., Lee, K., Leykin, A. & Sommars, J., Jul 2019, In: IMA Journal of Numerical Analysis. 39, 3, p. 1421-1446 26 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access -
Computing Tropical Prevarieties in Parallel
Jensen, A. N., Verschelde, J. & Sommars, J., 2017, Proceedings of the International Workshop on Parallel Symbolic Computation, PASCO 2017. Association for Computing Machinery, a9. (PASCO 2017).Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review
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Finding binomials in polynomial ideals
Jensen, A. N., Kahle, T. & Katthän, L., 2017, In: Research In the Mathematical Sciences. 4, 16, 16.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open AccessFile172 Downloads (Pure) -
An Implementation of Exact Mixed Volume Computation
Jensen, A. N., 2016, Mathematical Software - 5th International Conference, ICMS 2016, Proceedings. Greuel, G.-M., Koch, T., Paule, P. & Sommese, A. (eds.). Springer, Vol. 9725. p. 198-205 8 p. (Lecture Notes in Computer Science (LNCS)).Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review
Activities
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Jahrestagung der Deutschen Mathematiker-Vereinigung 2015
Anders Nedergaard Jensen (Speaker)
23 Oct 2015 → 24 Oct 2015Activity: Participating in or organising an event types › Participation in or organisation of workshop, seminar or course
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Meeting on Algebraic Vision
Anders Nedergaard Jensen (Participant)
8 Oct 2015 → 9 Oct 2015Activity: Participating in or organising an event types › Participation in or organisation of workshop, seminar or course
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Tropical Homotopy Continuation
Anders Nedergaard Jensen (Lecturer)
28 Sept 2015Activity: Talk or presentation types › Lecture and oral contribution
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Recovering Newton polytopes from tropical hypersurfaces
Anders Nedergaard Jensen (Lecturer)
24 Sept 2015Activity: Talk or presentation types › Lecture and oral contribution
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Tropical Homotopy Continuation
Anders Nedergaard Jensen (Lecturer)
7 Aug 2015Activity: Talk or presentation types › Lecture and oral contribution