Mario Denis Kummer
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Contact:
Email
Mario Denis Kummer
Research interests
I am interested in real algebraic geometry and connections to combinatorics and optimization.
Personal homepage
Curriculum vitae
- Since August 2016: Postdoctoral Research Assistant at the Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
- July 2016: Finished my dissertation titled "From Hyperbolic Polynomials to Real Fibered Morphisms" under the supervision of Claus Scheiderer at Universitat Konstanz, Konstanz, Germany
- August-December 2014: Visiting Graduate Student at the Simons Institute for the Theory of Computing, Berkeley, USA
Publications
Journal Articles
Kummer, Mario and Eli Shamovich:
Real fibered morphisms and Ulrich sheaves
In: Journal of algebraic geometry,
29 (2020) 1, p. 167-198
Bibtex DOI: 10.1090/jag/735 ARXIV: https://arxiv.org/abs/1507.06760Kummer, Mario and Kristin Shaw:
The separating semigroup of a real curve
In: Annales de la Faculté des Sciences de Toulouse,
29 (2020) 1, p. 79-96
Bibtex MIS-Preprint: 48/2017 DOI: 10.5802/afst.1624 ARXIV: https://arxiv.org/abs/1707.08227Chua, Lynn ; Kummer, Mario and Bernd Sturmfels:
Schottky algorithms : classical meets tropical
In: Mathematics of computation,
88 (2019) 319, p. 2541-2558
Bibtex MIS-Preprint: 42/2017 DOI: 10.1090/mcom/3406 ARXIV: https://arxiv.org/abs/1707.08520Kaihnsa, Nidhi ; Kummer, Mario ; Plaumann, Daniel ; Sayyary Namin, Mahsa and Bernd Sturmfels:
Sixty-four curves of degree six
In: Experimental mathematics,
28 (2019) 2, p. 132-150
Bibtex MIS-Preprint: 23/2017 DOI: 10.1080/10586458.2017.1360808 ARXIV: https://arxiv.org/abs/1703.01660 CODE: https://mathrepo.mis.mpg.de/planeSexticCurvesKummer, Mario:
On the connectivity of the hyperbolicity region of irreducible polynomials
In: Advances in geometry,
19 (2019) 2, p. 231-233
Bibtex MIS-Preprint: 28/2017 DOI: 10.1515/advgeom-2017-0055 ARXIV: https://arxiv.org/abs/1704.04388Kummer, Mario:
Totally real theta characteristics
In: Annali di matematica pura ed applicata,
198 (2019) 6, p. 2141-2150
Bibtex DOI: 10.1007/s10231-019-00858-5 ARXIV: https://arxiv.org/abs/1802.05297Kummer, Mario and Cynthia Vinzant:
The Chow form of a reciprocal linear space
In: The Michigan mathematical journal,
68 (2019) 4, p. 831-858
Bibtex DOI: 10.1307/mmj/1571731287 ARXIV: https://arxiv.org/abs/1610.04584Carlini, Enrico ; Kummer, Mario ; Oneto, Alessandro and Emanuele Ventura:
On the real rank of monomials
In: Mathematische Zeitschrift,
286 (2017) 1-2, p. 571-577
Bibtex DOI: 10.1007/s00209-016-1774-y ARXIV: https://arxiv.org/abs/1602.01151Higashitani, Akihiro ; Kummer, Mario and Mateusz Michałek:
Interlacing Ehrhart polynomials of reflexive polytopes
In: Selecta mathematica,
23 (2017) 4, p. 2977-2998
Bibtex MIS-Preprint: 7/2017 DOI: 10.1007/s00029-017-0350-6 ARXIV: https://arxiv.org/abs/1612.07538Kahle, Thomas ; Kubjas, Kaie ; Kummer, Mario and Zvi Rosen:
The geometry of rank-one tensor completion
In: SIAM journal on applied algebra and geometry,
1 (2017) 1, p. 200-221
Bibtex DOI: 10.1137/16M1074102 ARXIV: https://arxiv.org/abs/1605.01678Kummer, Mario:
Determinantal representations and Bézoutians
In: Mathematische Zeitschrift,
285 (2017) 1, p. 445-459
Bibtex DOI: 10.1007/s00209-016-1715-9 ARXIV: https://arxiv.org/abs/1308.5560Kummer, Mario:
Eigenvalues of symmetric matrices over integral domains
In: Journal of algebra,
466 (2016), p. 195-203
Bibtex DOI: 10.1016/j.jalgebra.2016.07.024 ARXIV: https://arxiv.org/abs/1511.01048Kummer, Mario:
Two results on the size of spectrahedral descriptions
In: SIAM journal on optimization,
26 (2016) 1, p. 589-601
Bibtex DOI: 10.1137/15M1030789 ARXIV: https://arxiv.org/abs/1506.07699Kummer, Mario:
A note on the hyperbolicity cone of the specialized Vámos polynomial
In: Acta applicandae mathematicae,
144 (2016) 1, p. 11-15
Bibtex DOI: 10.1007/s10440-015-0036-z ARXIV: https://arxiv.org/abs/1306.4483Kummer, Mario ; Plaumann, Daniel and Cynthia Vinzant:
Hyperbolic polynomials, interlacers, and sums of squares
In: Mathematical programming,
153 (2015) 1, p. 223-245
Bibtex DOI: 10.1007/s10107-013-0736-y ARXIV: https://arxiv.org/abs/1212.6696Preprints
Al Ahmadieh, Abeer ; Sorea, Miruna-Ştefana and Mario Kummer:
A generalization of the space of complete quadrics
Brysiewicz, Taylor ; Kozhasov, Khazhgali and Mario Kummer:
Nodes on quintic spectrahedra
di Dio, Philipp J. and Mario Kummer:
The multidimensional truncated moment problem : Carathéodory numbers from
Hilbert functions and shape reconstruction from derivatives of moments
Kummer, Mario and Eli Shamovich:
On deformations of hyperbolic varities
Academic Theses
Kummer, Mario:
From hyperbolic polynomials to real fibered morphisms
Dissertation, Universität Konstanz, 2016
Bibtex LINK: http://nbn-resolving.de/urn:nbn:de:bsz:352-0-348808