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Dive into the research topics where Katharina Jochemko is active.

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Featured researches published by Katharina Jochemko.


SIAM Journal on Discrete Mathematics | 2014

Arithmetic of Marked Order Polytopes, Monotone Triangle Reciprocity, and Partial Colorings

Katharina Jochemko; Raman Sanyal

For a poset P, a subposet A, and an order preserving map F from A into the real numbers, the marked order polytope parametrizes the order preserving extensions of F to P. We show that the function counting integral-valued extensions is a piecewise polynomial in F and we prove a reciprocity statement in terms of order-reversing maps. We apply our results to give a geometric proof of a combinatorial reciprocity for monotone triangles due to Fischer and Riegler (2011) and we consider the enumerative problem of counting extensions of partial graph colorings of Herzberg and Murty (2007).


Journal of the European Mathematical Society | 2018

Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem

Katharina Jochemko; Raman Sanyal


Advances in Mathematics | 2017

Combinatorial mixed valuations

Katharina Jochemko; Raman Sanyal


Transactions of the American Mathematical Society | 2017

ℎ*-polynomials of zonotopes

Matthias Beck; Katharina Jochemko; Emily McCullough


International Mathematics Research Notices | 2018

On the Real-Rootedness of the Veronese Construction for Rational Formal Power Series

Katharina Jochemko


Archive | 2015

Combinatorial positivity of translation-invariant valuations

Katharina Jochemko; Raman Sanyal


arXiv: Combinatorics | 2013

Order polynomials and P\'olya's enumeration theorem

Katharina Jochemko


arXiv: Combinatorics | 2018

Arithmetic aspects of symmetric edge polytopes

Akihiro Higashitani; Katharina Jochemko; Mateusz Michałek


arXiv: Combinatorics | 2018

Smooth centrally symmetric polytopes in dimension 3 are IDP

Matthias Beck; Christian Haase; Akihiro Higashitani; Johannes Hofscheier; Katharina Jochemko; Lukas Katthaen; Mateusz Michałek


Oberwolfach Reports | 2018

Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications

Takayuki Hibi; Akihiro Higashitani; Katharina Jochemko; Benjamin Nill

Collaboration


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Raman Sanyal

Goethe University Frankfurt

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Matthias Beck

San Francisco State University

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Emily McCullough

San Francisco State University

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Mateusz Michałek

Polish Academy of Sciences

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Benjamin Nill

Otto-von-Guericke University Magdeburg

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Christian Haase

Free University of Berlin

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Sören Berg

Technical University of Berlin

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