Publikationen
2020
Begutachteter Zeitschriftenartikel
Geometrie optimaler Versuchspläne
In: Mitteilungen der Deutschen Mathematiker-Vereinigung/ Deutsche Mathematiker-Vereinigung - Berlin: DMV, Bd. 28.2020, 2, S. 71-76
Hilbert-Poincaré series of parity binomial edge ideals and permanental ideals of complete graphs
In: Collectanea mathematica - Barcelona . - 2020, insges. 9 S.
Sums of squares in Macaulay2
In: Journal of Software for Algebra and Geometry: Macaulay2: JSAG - [S.l.], Bd. 10.2020, S. 17-24
Dissertation
Geometry of optimal design and limit theorems
In: Magdeburg, 2020, IX, 105 Seiten, Diagramme, 30 cm ; [Literaturverzeichnis: Seite 99-105]
2019
Begutachteter Zeitschriftenartikel
Counting inversions and descents of random elements in finite Coxeter groups
In: Mathematics of computation - Providence, RI: Soc., 1960, Bd. 89.2019, 321, S. 437-464
Linear syzygies, hyperbolic Coxeter groups and regularity
In: Compositio mathematica - Cambridge: Cambridge Univ. Press, 1935, Bd. 155.2019, 1, S. 1076-1097
Multistationarity in the space of total concentrations for systems that admit a monomial parametrization
In: Bulletin of mathematical biology - New York, NY: Springer, 1939, Bd. 81.2019, 10, S. 4174-4209
Dissertation
Algebraic methods for the study of multistationarity in mass-action networks
In: Magdeburg, 2019, 68 Seiten, Diagramme, 30 cm ; [Literaturverzeichnis: Seite 65-68]
Nicht begutachteter Zeitschriftenartikel
The semi-algebraic geometry of optimal designs for the Bradley-Terry model
In: De.arxiv.org - [S.l.]: Arxiv.org, 1991, 2019, Artikel 1901.02375, insgesamt 18 Seiten
2018
Abstract
Geometry of parameter regions for optimal designs
In: IWS 2018: 9th International Workshop on Simulation : Barcelona, Spain, June 25 - June 29, 2018 : book of abstracts - Barcelona, 2018; Fonseca, P. . - 2018, S. 107-108 ; [Workshop: 9th International Workshop on Simulation, IWS 2018, Barcelona, Spain, June 25 - June 29, 2018]
Begutachteter Zeitschriftenartikel
Obstructions to combinatorial formulas for plethysm
In: The electronic journal of combinatorics - [Madralin]: EMIS ELibEMS, 1994, Vol. 25.2018, 1, Paper P1.41, insgesamt 9 S.
The geometry of gaussoids
In: Foundations of computational mathematics: FoCM ; official journal of the Society for the Foundation of Computational Mathematics (SFoCM) - New York, NY: Springer, 2001 . - 2018, insges. 38 S.
Veronesean almost binomial almost complete intersections
In: Rendiconti dell\'Istituto di Matematica dell\'Università di Trieste/ Istituto di Matematica - Trieste: Ist, 1993, Bd. 50.2018, S. 65-79
2017
Begutachteter Zeitschriftenartikel
Finding binomials in polynomial ideals
In: Research in the mathematical sciences - New York, NY [u.a.]: Springer, 2014, Bd. 4.2017, 1, insges. 10 S.
The geometry of rank-one tensor completion
In: Siam journal on applied algebra and geometry - Philadelphia, PA.: SIAM, 2017, Bd. 1.2017, 1, S. 200-221
2016
Begutachteter Zeitschriftenartikel
Algebraic geometry of Poisson regression
In: Journal of algebraic statistics - Istanbul, 2012, Bd. 7.2016, 1, S. 29-44
Eigenschemes and the Jordan canonical form
In: Linear algebra and its applications: LAA - New York, NY: American Elsevier Publ., 1968, Bd. 496.2016, S. 121-151
Irreducible decomposition of binomial ideals
In: Compositio mathematica - Cambridge: Cambridge Univ. Press, 1935, Bd. 152.2016, 6, S. 1319-1332
2015
Begutachteter Zeitschriftenartikel
Detecting binomiality
In: Advances in applied mathematics - Amsterdam [u.a.]: Elsevier, 1980, Bd. 71.2015, S. 52-67
Linear syzygies, flag complexes, and regularity
In: Collectanea mathematica - Barcelona, 1948 . - 2015
Parity binomial edge ideals
In: Journal of algebraic combinatorics: an international journal - Dordrecht [u.a.]: Springer Science + Business Media B.V., 1992, Bd. 44.2015, 1, S. 99-117
Plethysm and lattice point counting
In: Foundations of computational mathematics: FoCM ; official journal of the Society for the Foundation of Computational Mathematics (SFoCM) - New York, NY: Springer, 2001 . - 2015
2014
Begutachteter Zeitschriftenartikel
Decompositions of commutative monoid congruences and binomial ideals
In: Algebra & number theory - Berkeley, CA: Mathematical Sciences Publ., 2007, Bd. 8.2014, 6, S. 1297-1364
Generic and special constructions of pure O-sequences
In: Bulletin of the London Mathematical Society/ London Mathematical Society - Hoboken, NJ: Wiley, 1969, Bd. 46.2014, 5, S. 924-942
Positive margins and primary decomposition
In: Journal of commutative algebra - Tempe, Ariz.: Rocky Mountain Mathematics Consortium, 2009, Bd. 6.2014, 2, S. 173-208
Toric fiber products versus Segre products
In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg/ Universität Hamburg - Berlin [u.a.]: Springer, 1922, Bd. 84.2014, 2, S. 187-201
Buchbeitrag
Equivariant lattice generators and Markov bases
In: Proceedings of the 39th international symposium on International symposium on symbolic and algebraic computation - New York, NY: ACM, 2014; Nabeshima, Katsusuke . - 2014, S. 264-271
2013
Begutachteter Zeitschriftenartikel
Multigraded commutative algebra of graph decompositions
In: Journal of algebraic combinatorics: an international journal - Dordrecht [u.a.]: Springer Science + Business Media B.V., 1992 . - 2013, insges. 38 S.
2011
Begutachteter Zeitschriftenartikel
Support sets in exponential families and oriented matroid theory
In: International journal of approximate reasoning: the treatment of uncertainity in artificial intelligence - Amsterdam [u.a.]: Elsevier Science, 1987, Bd. 52.2011, 5, S. 613-626
2010
Begutachteter Zeitschriftenartikel
Binomial edge ideals and conditional independence statements
In: Advances in applied mathematics - Amsterdam [u.a.]: Elsevier, 1980, Bd. 45.2010, 3, S. 317-333
Decompositions of binomial ideals
In: Annals of the Institute of Statistical Mathematics/ Tōkei-Sūri-Kenkyūsho - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1949, Bd. 62.2010, 4, S. 727-745
Neighborliness of marginal polytopes
In: Beiträge zur Algebra und Geometrie - Berlin: Springer, 1971, Bd. 51.2010, 1, S. 45-56
Quantifying structure in networks
In: The European physical journal / B - Berlin: Springer, 1998, Bd. 77.2010, 2, S. 239-247
2009
Begutachteter Zeitschriftenartikel
Complexity measures from interaction structures
In: Physical review / E - College Park, Md.: APS, 1993, Vol. 79.2013, 2, Art. 026201, insgesamt 9 S., 2009
Hierarchical models, marginal polytopes, and linear codes
In: Kybernetika: international journal published by Institute of Information Theory and Automation - Praha, 1965, Bd. 45.2009, 2, S. 189-207