Anders Nedergaard Jensen
Address: Institut for Matematik, Ny Munkegade 118, DK-8000
Aarhus C, Denmark
Office: A4.27
Phone: (+45) 8715 5729
Email:
I got my PhD from Aarhus University in
2007. After that I was at TU-Berlin, Georg-August Universität Göttingen and
Universität des Saarlandes as a postdoc. In November 2011 I was employed at the Department of
Mathematics at Aarhus University. My four year research project "Algorithmic Methods in
Geometry and Polynomial Equations" was
supported by the Danish Council for Independent Research. In
Novemer 2015 I moved to TU-Kaiserslautern to work in the group of
Algebra, Geometry and Computeralgebra. Since July 2016 I am back at
Aarhus University.
Research Interests
- Applied Algebraic Geometry
- Tropical Geometry
- Computational Commutative Algebra
- Polyhedral Geometry
Events
Teaching
Graduate courses taught at Aarhus University:
- Graph Theory 2, Fall 2012, 2014, 2016, lecture notes
- Algebra and Polyhedral Geometry, Spring 2012, 2014, lecture notes
- Graph Theory 1, Fall 2013
- Solving Polynomial Equations, Spring 2013, 2015
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Jensen, A.N. (2024):
Dynamic Decomposition of Tropical Prevarieties for Celestial Mechanics. In: Buzzard, K., Dickenstein, A., Eick, B., Leykin, A., Ren, Y. (eds) Mathematical Software – ICMS 2024. ICMS 2024. Lecture Notes in Computer Science, vol 14749. Springer, Cham.
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Anders N. Jensen, Anton Leykin (2023):
Smale's 6th problem for generic masses
https://arxiv.org/abs/2301.02305
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Anders Jensen, Jeff Sommars, Jan Verschelde:
Computing Tropical
Prevarieties in Parallel , PASCO 2017
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Timothy Duff, Cvetelina Hill, Anders Jensen, Kisun Lee, Anton Leykin,
Jeff Sommars:
Solving polynomial systems
via homotopy continuation and monodromy, 2016
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Anders Jensen, Thomas Kahle, Lukas Katthän:
"Finding binomials in
polynomial ideals", 2016
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Anders Nedergaard Jensen:
"An Implementation of Exact Mixed Volume Computation",
submitted to ICMS 2016
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Anders Nedergaard Jensen:
"Tropical Homotopy Continuation", 2016
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Anders Jensen, Anton Leykin, Josephine Yu:
"Computing Tropical Curves via Homotopy Continuation",
Experimental Mathematics, Volume 25 (2016), no. 1, 83-93
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Marshall Hampton, Anders Jensen:
"Finiteness of relative equilibria in the planar generalized
N-body problem with fixed subconfigurations",
Journal of Geometric Mechanics, Volume 7 (2015), no. 1, 35-42
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Anders Jensen, Josephine Yu:
"Stable Intersections of Tropical Varieties",
Journal of Algebraic Combinatorics, Volume 43 (2016), no. 1, 101-128
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Kent Andersen, Anders Jensen:
"Intersection Cuts for Mixed Integer Conic Quadratic Sets", 2013
M.Goemans, J. Correa, eds., 16th international IPCO Conference,
Valparaiso.
Lecture Notes in Computer Science, 2013, Volume 7801/2013, 37-48.
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Anders Jensen, Josephine Yu:
"Computing Tropical Resultants", 2013,
Journal of Algebra, 387(1):287-319
arXiv:1109.2368
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Marshall Hampton, Anders Jensen:
"Finiteness of spatial central configurations in
the five-body problem", 2011,
Celestial Mechanics and Dynamical Astronomy 109, 321-332.
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Anders Jensen:
"Traversing symmetric polyhedral fans",
2010,
Proceedings: Mathematical Software - ICMS 2010,
Third International Congress on Mathematical Software, 2010
Lecture Notes in Computer Science, 2010, Volume 6327/2010, 282-294.
- Melody Chan, Anders Jensen, Elena Rubei:
The 4x4
minors of a 5xn matrix are a tropical basis, 2009
Linear Algebra and its Applications, Volume 435 (2011), 1598-1611
arXiv:0912.5264
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Sven Herrmann, Anders Jensen, Michael Joswig, Bernd Sturmfels:
How to Draw Tropical Planes, 2008,
Electronic Journal of Combinatorics, 16 (2009), no. 2;
arXiv:0808.2383.
Supplementary material.
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Anders Jensen, Hannah Markwig, Thomas Markwig
An algorithm for lifting points
in a tropical Variety, 2007,
Collect. Math. 59 (2008), no. 2, 1
arXiv:0705.2441
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Anders Jensen, Niels Lauritzen, Bjarke Roune:
Maximal lattice free bodies,
test sets and the Frobenius Problem, 2007.
- Komei Fukuda, Anders Jensen, Rekha R. Thomas:
Computing Gröbner Fans, 2005,
Math. Comp. 76 (2007), 2189-2212;
arXiv:math/0509544. DOI:
10.1090/S0025-5718-07-01986-2.
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Tristram Bogart, Anders Jensen, Rekha R. Thomas:
The Circuit Ideal of a Vector Configuration, 2005,
J. Algebra 309 (2007), no. 2, 518-542;
arXiv:math/0508628. DOI:
10.1016/j.jalgebra.2006.07.025.
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Tristram Bogart, Anders Jensen, David Speyer, Bernd Sturmfels, Rekha
Thomas:
Computing Tropical Varieties, 2005,
J. Symb. Comput. 42 (2007), no. 1-2, 54-73;
arXiv:math/0507563. DOI: 10.1016/j.jsc.2006.02.004.
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Anders Jensen:
A non-regular Gröbner fan, 2005
Discrete Comput. Geom. 37 (2007), no, 443-453;
arXiv:math/0501352. DOI: 10.1007/s00454-006-1289-0.
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K. Fukuda, A. Jensen, N. Lauritzen, R. Thomas:
The generic Gröbner walk, 2005
J. Symb. Comp. 42 (2007), 298-312;
arXiv:math/0501345.