| Publication | Date of Publication | Type |
|---|
| The role of rationality in integer-programming relaxations | 2024-04-09 | Paper |
| Plücker-Type Inequalities for Mixed Areas and Intersection Numbers of Curve Arrangements | 2024-01-25 | Paper |
| Efficient MIP techniques for computing the relaxation complexity | 2023-09-08 | Paper |
| INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM | 2023-08-23 | Paper |
| Computational aspects of relaxation complexity: possibilities and limitations | 2023-03-14 | Paper |
| Convex hulls of monomial curves, and a sparse positivstellensatz | 2023-03-07 | Paper |
| Generalized flatness constants, spanning lattice polytopes, and the Gromov width | 2023-02-28 | Paper |
| Difference between families of weakly and strongly maximal integral lattice-free polytopes | 2022-12-14 | Paper |
| Optimizing Sparsity over Lattices and Semigroups | 2022-10-14 | Paper |
| On the maximal number of columns of a \(\varDelta \)-modular matrix | 2022-08-16 | Paper |
| Complexity of linear relaxations in integer programming | 2022-06-29 | Paper |
| Sparse representation of vectors in lattices and semigroups | 2022-03-22 | Paper |
| Computing the volume of the convex hull of the graph of a trilinear monomial using mixed volumes | 2022-01-05 | Paper |
| Computational aspects of relaxation complexity | 2021-12-21 | Paper |
| On the Maximal Number of Columns of a $\Delta$-modular Integer Matrix: Bounds and Computations | 2021-11-11 | Paper |
| A remark on the approximation of non-negative polynomials by SONC polynomials | 2021-08-04 | Paper |
| Classification of triples of lattice polytopes with a given mixed volume | 2021-07-02 | Paper |
| A local maximizer for lattice width of 3-dimensional hollow bodies | 2021-05-31 | Paper |
| Computational Aspects of Relaxation Complexity: Possibilities and Limitations | 2021-05-26 | Paper |
| Sharp bounds on fake weighted projective spaces with canonical singularities | 2021-05-20 | Paper |
| Equality case in Van der Corput's inequality and collisions in multiple lattice tilings | 2021-01-29 | Paper |
| Lattice Simplices with a Fixed Positive Number of Interior Lattice Points: A Nearly Optimal Volume Bound | 2020-08-17 | Paper |
| Local optimality of Zaks-Perles-Wills simplices | 2019-12-17 | Paper |
| Generalized flatness constants, spanning lattice polytopes, and the Gromov width | 2019-11-08 | Paper |
| Second-order cone representable slices of the positive semidefinite cone of size three | 2019-09-19 | Paper |
| Optimal Size of Linear Matrix Inequalities in Semidefinite Approaches to Polynomial Optimization | 2019-05-08 | Paper |
| Convexification of box-constrained polynomial optimization problems via monomial patterns | 2019-01-17 | Paper |
| Approximation of Corner Polyhedra with Families of Intersection Cuts | 2018-04-24 | Paper |
| Maximum semidefinite and linear extension complexity of families of polytopes | 2018-02-28 | Paper |
| Notions of Maximality for Integral Lattice-Free Polyhedra: The Case of Dimension Three | 2017-12-07 | Paper |
| Approximation of corner polyhedra with families of intersection cuts | 2017-08-31 | Paper |
| Tight bounds on discrete quantitative Helly numbers | 2017-07-04 | Paper |
| Largest integral simplices with one interior integral point: solution of Hensley's conjecture and related results | 2017-06-23 | Paper |
| Homometry and direct-sum decompositions of lattice-convex sets | 2016-08-31 | Paper |
| Lifting properties of maximal lattice-free polyhedra | 2015-12-09 | Paper |
| Covariograms Generated by Valuations | 2015-11-03 | Paper |
| On the Unique-Lifting Property | 2014-06-02 | Paper |
| On the Convergence of the Affine Hull of the Chvátal--Gomory Closures | 2014-01-21 | Paper |
| On Maximal $S$-Free Sets and the Helly Number for the Family of $S$-Convex Sets | 2014-01-21 | Paper |
| Constructive proofs of some positivstellensätze for compact semialgebraic subsets of \(\mathbb R^{d }\) | 2013-09-23 | Paper |
| Minimal polynomial descriptions of polyhedra and special semialgebraic sets | 2013-03-25 | Paper |
| A proof of Lovász's theorem on maximal lattice-free sets | 2013-03-19 | Paper |
| On finitely generated closures in the theory of cutting planes | 2012-12-28 | Paper |
| On the Size of Lattice Simplices with a Single Interior Lattice Point | 2012-09-12 | Paper |
| On the reconstruction of planar lattice-convex sets from the covariogram | 2012-08-13 | Paper |
| Transversal numbers over subsets of linear spaces | 2012-06-13 | Paper |
| Maximal lattice-free polyhedra: finiteness and an explicit description in dimension three | 2012-05-24 | Paper |
| Inequalities for the lattice width of lattice-free convex sets in the plane | 2012-02-29 | Paper |
| On finite generation and infinite convergence of generalized closures from the theory of cutting planes | 2011-06-08 | Paper |
| Characterizations of central symmetry for convex bodies in Minkowski spaces | 2011-04-26 | Paper |
| Representing simple \(d\)-dimensional polytopes by \(d\) polynomials | 2011-02-14 | Paper |
| Description of polygonal regions by polynomials of bounded degree | 2011-01-28 | Paper |
| Maximal lattice-free polyhedra: finiteness and an explicit description in dimension three | 2010-10-06 | Paper |
| On Nearly Equilateral Simplices and Nearly l∞ Spaces | 2010-09-06 | Paper |
| On pyramids and reducedness | 2009-12-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3653702 | 2009-12-28 | Paper |
| Confirmation of Matheron's conjecture on the covariogram of a planar convex body | 2009-12-01 | Paper |
| Detecting and reconstructing centrally symmetric sets from the autocorrelation: two discrete cases | 2009-11-06 | Paper |
| Three-dimensional polyhedra can be described by three polynomial inequalities | 2009-07-24 | Paper |
| Notes on the algebra and geometry of polynomial representations | 2009-03-16 | Paper |
| On area and side lengths of triangles in normed planes | 2009-01-23 | Paper |
| On reduced polytopes and antipodality | 2008-12-18 | Paper |
| Representing elementary semi-algebraic sets by a few polynomial inequalities: A constructive approach | 2008-04-14 | Paper |
| Embedding metric spaces into normed spaces and estimates of metric capacity | 2007-12-06 | Paper |
| Retrieving convex bodies from restricted covariogram functions | 2007-11-12 | Paper |
| On the Inequality for Volume and Minkowskian Thickness | 2007-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5490257 | 2007-01-26 | Paper |
| On boundary arcs joining antipodal points of a planar convex body | 2007-01-22 | Paper |
| Circumradius versus side lengths of triangles in linear normed spaces | 2007-01-10 | Paper |
| A monotonicity lemma in higher dimensions | 2006-05-18 | Paper |
| On planar convex bodies of given Minkowskian thickness and least possible area | 2005-04-14 | Paper |
| A characterization of constant width in Minkowski planes | 2004-11-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4825843 | 2004-11-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4433481 | 2003-12-15 | Paper |
| Constant Minkowskian width in terms of double normals | 2003-09-16 | Paper |
