Publications
Published articles
| 31 | with C. Hanselka | Positive Ulrich Sheaves | Can. J. Math. | 76(3) | 881-914 | 2024 |
| 30 | with S. McKean | Bounding the signed count of real bitangents to plane quartics | Manuscripta Math. | 173 | 1003-1013 | 2024 |
| 29 | with G. Blekherman, R. Sanyal, K. Shu and S. Sun | Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment | Int. Math. Res. Not. | 2023(24) |
21346 - 21380 |
2023 |
| 28 | with B. Sert | Matroids on Eight Elements with the Half-plane Property and Related Concepts | SIAM J. Discrete Math. | 37(3) | 2208-2227 | 2023 |
| 27 | with C. Le Texier und M. Manzaroli | Real-fibered morphisms of del Pezzo surfaces and conic bundles | Discrete Comput. Geom. | 69 | 849-872 | 2023 |
| 26 | with R. Sinn | Hyperbolic Secant Varieties of M-Curves |
J. Reine Angew. Math. |
787 |
125-162 |
2022 |
| 25 | with M. Dutour Sikirić | Iso Edge Domains | Expo. Math. | 40(2) | 302-314 | 2022 |
| 24 | with T. Brysiewicz and K. Kozhasov | Nodes on quintic spectrahedra | Matematiche (Catania) | 76(2) | 415-430 | 2021 |
| 23 | with A. Al Ahmadieh and M.-S. Sorea | A generalization of the space of complete quadrics | Matematiche (Catania) | 76(2) | 431-446 | 2021 |
| 22 | with D. Manevich | On Huisman’s conjectures about unramified real curves | Adv. Geom. | 21(4) | 545-549 | 2021 |
| 21 | with E. Shamovich | On deformations of hyperbolic varieties | Mosc. Math. J. | 21(3) | 593–612 | 2021 |
| 20 | with P. di Dio | The multidimensional truncated Moment Problem: Carathéodory Numbers from Hilbert Functions | Math. Ann. | 380(1) | 267-291 | 2021 |
| 19 | with R. Bettiol and R. Mendes | Convex Algebraic Geometry of Curvature Operators | SIAM J. Appl. Algebra Geometry | 5(2) | 200-228 | 2021 |
| 18 | Spectral linear matrix inequalities | Adv. Math. | 384 | 107749 | 2021 | |
| 17 | with G. Blekherman, C. Riener, M. Schweighofer, and C. Vinzant | Generalized Eigenvalue Methods for Gaussian Quadrature Rules | Ann. H. Lebesgue | 3 | 1327-1341 | 2020 |
| 16 | with K. Shaw | The Separating Semigroup of a Real Curve | Ann. Fac. Sci. Toulouse | 29(1) | 79-96 | 2020 |
| 15 | with E. Shamovich | Real Fibered Morphisms and Ulrich Sheaves | J. Algebraic Geometry | 20 | 167-198 | 2020 |
| 14 | with S. Naldi and D. Plaumann | Spectrahedral Representations of Plane Hyperbolic Curves | Pacific J. Math. | 303(1) | 243-263 | 2019 |
| 13 | Totally Real Theta Characteristics | Ann. Mat. Pura Appl. | 198(6) | 2141-2150 | 2019 | |
| 12 | with C. Vinzant | The Chow Form of a Reciprocal Linear Space | Michigan Math. J. | 68(4) | 831-858 | 2019 |
| 11 | L. Chua and B. Sturmfels | Schottky Algorithms: Classical meets Tropical | Math. of Comp. | 88 | 2541-2558 | 2019 |
| 10 | with N. Kaihnsa, D. Plaumann, M. Sayyary Namin and B. Sturm- fels |
Sixty-Four Curves of Degree Six | Exper. Math. | 28(2) | 132-150 | 2019 |
| 9 | On the Connectivity of the Hyperbolicity Region of Irreducible Polynomials | Adv. Geom. | 19(2) | 231-233 | 2019 | |
| 8 | with A. Higashitani and M. Michałek | Interlacing Ehrhart Polynomials of Reflexive Polytopes | Selecta Math. | 23(4) | 2977-2998 | 2017 |
| 7 | with E. Carlini, A. Oneto, and E. Ventura | On the Real Rank of Monomials | Math. Z. | 286(1-2) | 571-577 | 2017 |
| 6 | with T. Kahle, K. Kubjas, and Z. Rosen | The Geometry of Rank-one Tensor Completion | SIAM J. Appl. Algebra Geometry | 1(1) | 200-221 | 2017 |
| 5 | Determinantal Representations and Bézoutians | Math. Z. | (285) | 445-459 | 2017 | |
| 4 | Eigenvalues of Symmetric Matrices over Integral Domains | J. Algebra | (466) | 195-203 | 2016 | |
| 3 | Two Results on the Size of Spectrahedral Descriptions | SIAM J. Optim. | 26(1) | 589-601 | 2016 | |
| 2 | A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial | Acta Appl. Math. | 144(1) | 11-15 | 2016 | |
| 1 | with D. Plaumann and C. Vinzant | Hyperbolic Polynomials, Interlacers, and Sums of Squares | Math. Program. | 153(1, Ser. B) | 223-245 | 2015 |
Preprints accepted for publication
| 36 | with D. Sawall | Three results related to the half-plane property of matroids | in Algebr. Comb. |
| 35 | A signed count of 2-torsion points on real abelian varieties | in Ann. Scuola Norm. Sup. Pisa | |
| 34 | with M. Joswig, A. Thom und C. Yun | Some thoughts and experiments on Bergman's compact amalgamation problem | in Beitr. Algebra Geom. |
| 33 | with M. Bodirsky and A. Thom | Spectrahedral Shadows and Completely Positive Maps on Real Closed Fields | in J. Eur. Math. Soc. (JEMS) |
| 32 | with R. Bettiol and R. Mendes | Geography of pinched four-manifolds | in Commun. Anal. Geom. |
Preprints
| 41 | with R. Bettiol and R. Mendes | Two results on the Convex Algebraic Geometry of sets with continuous symmetries |
| 40 | with L. Alon, P. Kurasov and C. Vinzant | Higher Dimensional Fourier Quasicrystals from Lee-Yang Varieties |
| 39 | with B. Sturmfels und R. Vlad | Maximal Mumford Curves from Planar Graphs |
| 38 | with D. Agostini | Secant varieties of curves, Ulrich bundles and the arithmetic writhe |
| 37 | with C. Riener | Equivariant algebraic and semi-algebraic geometry of infinite affine space |