2022

Referierte Publikationen / Reviewed Publications

M.-C. Brandenburg, C. Haase, N, Mai Tran (2022): Competitive equilibrium always exists for combinatorial auctions with graphical pricing schemes. La Matematica. Springer. https://doi.org/10.1007/s44007-022-00038-7

V.  Batyrev, A. Kasprzyk, K. Schaller (2022) On the Fine Interior of Three-dimensional Canonical Fano Polytopes. Springer Proceedings in Mathematics & Statistics, Vol. 386, pp. 11-47.  https://doi.org/10.1007/978-3-030-98327-7_2

J.-H. de Wiljes, M. Kreh (2022): Peg Solitaire on Graphs - A Survey. Asian-Eur. J. Math., in print. https://doi.org/10.1142/S1793557123500596

J.-H. de Wiljes, M. Kreh (2022): Path-Stick Solitaire on Graphs. Theory Appl. Graphs 9, no. 2, Article 12. https://doi.org/10.20429/tag.2022.090212

J.-H. de Wiljes, M. Kreh (2022): Making Graphs Solvable in Peg Solitaire. Electron. J. Graph Theory Appl. 10, no. 2, 375-383. http://dx.doi.org/10.5614/ejgta.2022.10.2.3

M. Kreh, J.-H. de Wiljes (2022): Peg Solitaire on Corona Products. Bull. Inst. Combin. Appl. 96, 107-118.

M.-L. Beste, J.-H. de Wiljes, M. Kreh (2022): Sum and Mod Sum Graphs of Arithmetic Sets. Integers 22, #A51.

Nicht Referierte Publikationen / Non Reviewed Publications

K. Altmann, C. Haase, A. Küronya, K. Schaller, L. Walter (2022): NObodies are perfect, their semigroups are not. https://arxiv.org/abs/2209.06044

2021

Referierte Publikationen / Reviewed Publications

V.  Batyrev, K. Schaller (2021): Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces.  Journal of Geometry and Physics, Vol. 164. https://doi.org/10.1016/j.geomphys.2021.104198

M. Blanco, C. Haase, J. Hofmann, F. Santos (2021): The Finiteness Threshold Width of Lattice Polytopes. Trans. Amer. Math. Soc. Ser. B 8 (2021), 399-419. https://doi.org/10.1090/btran/62

A.I. Bobenko, U. Bücking. Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere. Math Phys Anal Geom 24, Nr. 23 (2021). https://doi.org/10.1007/s11040-021-09394-2

C. Haase, A. Pfaffenholz, L.C. Piechnik, F. Santos (2021): Existence of unimodular triangulations - positive results. Memoirs of the American Mathematical Society, Vol. 270, Number 1321, 1261–1280. https://www.ams.org/books/memo/1321/

C. Haase, N. Ilten (2021): Algebraic Hyperbolicity for Surfaces in Toric Threefolds. J. Algebraic Geom. 30 (2021), 573-602. https://doi.org/10.1090/jag/770

M. Kreh, J.-H. de Wiljes (2021): Peg Solitaire on Cartesian Products of Graphs. Graphs and Combinatorics 37, 907–917 (2021). https://doi.org/10.1007/s00373-021-02289-7

M. Kreh, J.-H. de Wiljes (2021): Forschungsbezogene Seminare im Studium des Grundschullehramts. In: Girnat B. (eds) Mathematik lernen mit digitalen Medien und forschungsbezogenen Lernumgebungen. Hildesheimer Studien zur Mathematikdidaktik. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-32368-4_8

M. Kreh, D. Nolting, J.-H de Wiljes (2021): Der Grundlagentest als Teil des Projekts HiStEMa – Eine Studienleistung als studienbegleitende Maßnahme zur Grundlagensicherung. In: Girnat B. (eds) Mathematik lernen mit digitalen Medien und forschungsbezogenen Lernumgebungen. Hildesheimer Studien zur Mathematikdidaktik. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-32368-4_3

D. Nolting, J.-H de Wiljes, M. Kreh (2021): Möglichkeiten der Implementierung eines Computeralgebrasystems in Fachvorlesungen des Lehramtsstudiums an der Universität Hildesheim. In: M. Zimmermann, W. Paravicini und J. Schnieder (eds) Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2016 und 2017. Münster: WTM, 219-231. https://doi.org/10.37626/GA9783959870962.0

D. Nolting, J.-H. de Wiljes (2021): Förderung Beweglichen Denkens bei fachmathematischen Inhalten durch den Einsatz Dynamischer Geometriesoftware im Lehramtsstudium. In: Girnat B. (eds) Mathematik lernen mit digitalen Medien und forschungsbezogenen Lernumgebungen. Hildesheimer Studien zur Mathematikdidaktik. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-32368-4_1

2020

Referierte Publikationen / Reviewed Publications

C. Haase, F. Kohl, A. Tsuchiya (2020): Levelness of Order Polytopes. Siam Journal on Discrete Mathematics, Vol. 34, Issue 2, 1261–1280. https://doi.org/10.1137/19M1292345

F. Kohl (2020): Level algebras and $\s$-lecture hall polytopes.  The electronic Journal of Combinatorics Vol. 27, Issue 3. https://doi.org/10.37236/8626

R. Schwieger, M. R. Bender, H. Siebert, Christian Haase (2020): Classifier construction in Boolean networks using algebraic methods, Computational Methods in Systems Biology: Proceedings of the 18th International Conference on Computational Methods in Systems Biology (CMSB 2020), Vol. 12314. 10.1007/978-3-030-60327-4_12

J.-H. de Wiljes, M. Kreh (2020): Peg solitaire on banana trees. Bulletin of the ICA, Vol. 90, 63-86. http://www.the-ica.org/Volumes/90/Reprints/BICA2019-23-Reprint.pdf

Nicht Referierte Publikationen / Non Reviewed Publications

C. Haase, A. Küronya, L. Walter (2020): Toric Newton-Okounkov functions with an application to the rationality of certain Seshadri constants on surfaces. https://arxiv.org/abs/2008.04018

C. Gärtner,  T. S. Schmitz  (2020): Der Transitivitätstanz - Gesteneinsatz in der Grundschullehramtsausbildung. Beiträge zum Mathematikunterricht. http://dx.doi.org/10.17877/DE290R-21313

2019

Referierte Publikationen / Reviewed Publications

Carlos Améndola, Alexander Engström, Christian Haase, Maximum number of modes of Gaussian mixtures, Information and Inference: A Journal of the IMA, iaz013, (2019). https://doi.org/10.1093/imaiai/iaz013

C. Amendola, N. Bliss, I. Burke, C. Gibbons, M. Helmer, S. Hosten, E. Nash, J. Rodriguez and D. Smolkin (2019): The Maximum Likelihood Degree of Toric Varieties. Journal of Symbolic Computation, Vol. 92, Pages 222-242. https://doi.org/10.1016/j.jsc.2018.04.016

C. Améndola Cerón, D. Agostini (2019): Discrete Gaussian Distributions via Theta Functions. Siam J. Appl. Algebra Geometry, Vol. 3(1), Pages 1-30. https://doi.org/10.1137/18M1164937

V.  Batyrev, K. Schaller (2019): Stringy E-functions of canonical toric Fano threefolds and their applications.Izvestiya: Mathematics, Vol. 83, No 4. https://iopscience.iop.org/article/10.1070/IM8835/meta

M. Beck, C. Haase, A. Higashitani, J. Hofscheier, K. Jochemko, L. Katthän, M. Michałek (2019): Smooth centrally symmetric polytopes in dimension 3 are IDP.Annals of Combinatorics, No 26, pp 1-8. https://doi.org/10.1007/s00026-019-00418-x

Ulrike Bücking: Conformally Symmetric Triangular Lattices and Discrete ϑ-Conformal Maps, International Mathematics Research Notices, rnz308, (2019) https://doi.org/10.1093/imrn/rnz308

J. Erbe, C. Haase, F. Santos (2019): Ehrhart-equivalent 3-polytopes are equidecomposable. Proc. Amer. Math. Soc. 147 (2019), 5373-5383. https://doi.org/10.1090/proc/14626

S. Di Rocco, C. Haase, B. Nill (2019): A Note on Discrete Mixed Volume and Hodge-Deligne Numbers. Advances in Applied Mathematics, Vol. 104, Pages 1-13. https://doi.org/10.1016/j.aam.2018.11.002

2018

Referierte Publikationen / Reviewed Publications

F. Kohl, Y. Li, J. Rauh, R. Yoshida (2018) Semigroups --- A Computational Approach. The 50th anniversary of Gröbner bases. Advanced Studies in Pure Mathematics, Vol. 77, Pages 155-170. https://doi:10.2969/aspm/07710000

F. Lensing (2018). »Aber Papa, die 1 ist doch gerade!« – Reflexionen zur Frageder Repräsentation am Beispiel von Zahl- und Funktionsbegriff. Beiträge zum Mathematikunterricht, 1155-1158.

F. Lensing (2018). The dialectics of mathematization and demathematization . Quaderni di Ricerca in Didattica / Mathematics (QRDM) Quaderno N.27 Supplemento n.2, S. 199-202.

F. Lensing, & H. Straehler-Pohl. (2018). Towards an Ethics of Mathematical Application. In: R. Vital & M. Jurdak (Eds.) Sociopolitical Dimensions of Mathematics Education. From the Margin to Mainstream (pp.35-51). Cham: Springer. https://doi.org/10.1007/978-3-319-72610-6_3

H. Straehler-Pohl, F. Lensing, A. Pais & D. Swanson. (2018). Preface: The disorder of mathematics education, Part II. Critique, imagination and play. The Mathematics Enthusiast, 15(1), 3-7.

Straehler-Pohl, H., Felix, L., Pais, A. J. S., & Swanson, D. (2018). (Hrsg.) The disorder of mathematics education, Part II. Critique, imagination and play. The Mathematics Enthusiast, 15(1).

F. Kohl, Florian; A. Engström (2018): Transfer-Matrix Methods meet Ehrhart Theory. Advances in Mathematics, Vol 330, Pages 1-37. https://doi.org/10.1016/j.aim.2018.03.004

2017

Referierte Publikationen / Reviewed Publications

C. Amendola, K. Ranestad and B. Sturmfels (2017): Algebraic Identifiability of Gaussian Mixtures. International Mathematics Research Notices, Vol. 2017, No. 00, pp. 1-25 doi: 10.1093/imrn/rnx090

C. Haase, J. Hofmann (2017): Convex-normal (pairs of) polytopes. To appear in the Canadian Mathematical Bulletin. Canad. Math. Bull. 60, 510-521. http://dx.doi.org/10.4153/CMB-2016-057-0

C. Haase, M. Juhnke-Kubitzke, R. Sanyal, T. Theobald (2017) : Mixed Ehrhart polynomials. The Electronic Journal of Combinatorics Volume 24, Issue 1, Paper #P1.10

F. Lensing (2017): The repression of the subject? - Quilting threads of subjectivization. In A. Chronaki (ed.). Mathematics Education and Society 9 Proceedings. Vol 1: 676-686.

Nicht Referierte Publikationen / Non Reviewed Publications

C. Amendola, h K. Kohn, S. Lamboglia, D. Maclagan, B. Smith, J. Sommars, P. Tripoli and M. Zajaczkowska (2017): Computing Tropical Varieties in Macaulay2. Submitted. https://arxiv.org/abs/1710.10651

C. Amendola (2017): Algebraic Statistics of Gaussian Mixtures. PhD Thesis. Advisor: Bernd Sturmfels , Christian Haase

2016

Referierte Publikationen / Reviewed Publications

M. Nührenbörger, B. Rösken-Winter, K. Akinwunmi, F. Lensing, F. Schacht (2016): Roots and Scope of Design Science. In: M. Nührenbörger et al. (Hrsg.): Design Science and Its Importance in the German Mathematics Educational Discussion. Springer.

M. Nührenbörger, B. Rösken-Winter, C.I. Fung, R. Schwarzkopf, E.C. Wittmann, K. Akinwunmi, F. Lensing, F. Schacht, (Eds.) (2016). ICME-13 Topical Surveys. Design Science and Its Importance in the German Mathematics Educational Discussion. Cham: Springer International Publishing.

Nicht Referierte Publikationen / Non Reviewed Publications

C. Amendola, J. Rodriguez (2016): Solving Parameterized Polynomial Systems with Decomposable Projections. Presented at MEGA 2017. https://arxiv.org/abs/1612.08807.

Die Forschungsdaten zum Paper "Finiteness threshold width of lattice polytopes" können hier eingesehen werden: Forschungdaten.

Research data of the paper "Finiteness threshold width of lattice polytopes" can be seen here: Research Data.