| Publication | Date of Publication | Type |
|---|
| Classification of Schubert Galois groups in \(Gr(4, 9)\) | 2023-09-12 | Paper |
| Some problems at the interface of approximation theory and algebraic geometry | 2023-08-06 | Paper |
| Numerical homotopies from Khovanskii bases | 2023-05-26 | Paper |
| On the fundamental group of open Richardson varieties | 2023-02-28 | Paper |
| Real solutions to systems of polynomial equations in Macaulay2 | 2022-08-10 | Paper |
| Describing amoebas | 2022-06-24 | Paper |
| Irrational toric varieties and secondary polytopes | 2022-05-16 | Paper |
| Decomposable sparse polynomial systems | 2022-04-04 | Paper |
| Certification for polynomial systems via square subsystems | 2021-09-29 | Paper |
| Solving decomposable sparse systems | 2021-08-24 | Paper |
| Galois Groups in Enumerative Geometry and Applications | 2021-08-17 | Paper |
| Numerical Schubert Calculus in Macaulay2 | 2021-05-10 | Paper |
| Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm | 2021-03-29 | Paper |
| Nontrivial linear projections on the Grassmannian \(\text{Gr}_3(\mathbb{C}^6)\) | 2021-02-16 | Paper |
| General witness sets for numerical algebraic geometry | 2021-01-22 | Paper |
| Generic properties of dispersion relations for discrete periodic operators | 2020-12-17 | Paper |
| A numerical toolkit for multiprojective varieties | 2020-10-31 | Paper |
| Bivariate semialgebraic splines | 2020-04-07 | Paper |
| On the fundamental group of open Richardson varieties | 2019-11-26 | Paper |
| A geometric proof of an equivariant Pieri rule for flag manifolds | 2019-07-04 | Paper |
| An inequality of Kostka numbers and Galois groups of Schubert problems | 2019-05-24 | Paper |
| Numerical computation of Galois groups | 2019-03-01 | Paper |
| Real Algebraic Geometry for Geometric Constraints | 2018-11-23 | Paper |
| Trace test | 2018-11-08 | Paper |
| Two Murnaghan-Nakayama rules in Schubert calculus | 2018-08-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3176585 | 2018-07-23 | Paper |
| The convex hull of two circles in \(\mathbb{R}^3\) | 2018-05-24 | Paper |
| Equivariant cohomology theories and the pattern map | 2018-01-31 | Paper |
| Injectivity of Generalized Wronski Maps | 2017-12-18 | Paper |
| Experimentation in the Schubert Calculus | 2017-11-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4591303 | 2017-11-14 | Paper |
| Semialgebraic splines | 2017-10-13 | Paper |
| A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags | 2017-07-06 | Paper |
| Algorithm 921 | 2017-05-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2959969 | 2017-02-10 | Paper |
| A lifted square formulation for certifiable Schubert calculus | 2017-02-03 | Paper |
| Lower bounds in real Schubert calculus | 2016-12-14 | Paper |
| A primal-dual formulation for certifiable computations in Schubert calculus | 2016-10-24 | Paper |
| Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials | 2016-09-14 | Paper |
| The Monotone Secant Conjecture in the Real Schubert Calculus | 2016-06-27 | Paper |
| Higher convexity for complements of tropical varieties | 2016-05-31 | Paper |
| A congruence modulo four in real Schubert calculus | 2016-05-03 | Paper |
| Cohomological consequences of the pattern map | 2015-11-18 | Paper |
| Degenerations of real irrational toric varieties | 2015-10-21 | Paper |
| Higher convexity of coamoeba complements | 2015-10-12 | Paper |
| Solving schubert problems with Littlewood-Richardson homotopies | 2015-09-17 | Paper |
| Non-Archimedean Coamoebae | 2015-09-07 | Paper |
| Galois groups of Schubert problems of lines are at least alternating | 2015-04-22 | Paper |
| Book Review: Toric varieties | 2014-12-08 | Paper |
| Newton polytopes and witness sets | 2014-11-27 | Paper |
| A combinatorial proof that Schubert vs. Schur coefficients are nonnegative | 2014-05-11 | Paper |
| Arithmetic toric varieties | 2014-04-08 | Paper |
| Discriminant coamoebas through homology | 2014-01-16 | Paper |
| Complex Static Skew-Symmetric Output Feedback Control | 2013-11-15 | Paper |
| Lower bounds in real algebraic geometry and orientability of real toric varieties | 2013-09-23 | Paper |
| The phase limit set of a variety | 2013-05-28 | Paper |
| Cofree compositions of coalgebras | 2013-05-13 | Paper |
| Certifiable Numerical Computations in Schubert Calculus | 2012-12-13 | Paper |
| The Secant Conjecture in the Real Schubert Calculus | 2012-11-05 | Paper |
| Khovanskii-Rolle continuation for real solutions | 2012-02-04 | Paper |
| Dense Fewnomials | 2012-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3092735 | 2011-09-22 | Paper |
| Fewnomial bounds for completely mixed polynomial systems | 2011-08-02 | Paper |
| ORBITOPES | 2011-08-01 | Paper |
| Hopf Structures on the Multiplihedra | 2011-07-18 | Paper |
| Skew Littlewood-Richardson Rules from Hopf Algebras | 2011-05-04 | Paper |
| Experimentation at the Frontiers of Reality in Schubert Calculus | 2011-01-03 | Paper |
| Cofree compositions of coalgebras (extended abstract) | 2010-11-18 | Paper |
| Galois groups of Schubert problems via homotopy computation | 2010-11-07 | Paper |
| Linear precision for parametric patches | 2010-07-24 | Paper |
| General isotropic flags are general (for Grassmannian Schubert calculus) | 2010-04-29 | Paper |
| Some Geometrical Aspects of Control Points for Toric Patches | 2010-03-16 | Paper |
| Linear precision for toric surface patches | 2010-03-12 | Paper |
| Convex hulls of orbits and orientations of a moving protein domain | 2010-02-23 | Paper |
| Frontiers of reality in Schubert calculus | 2010-01-20 | Paper |
| Betti number bounds for fewnomial hypersurfaces via stratified Morse theory | 2009-09-11 | Paper |
| New Hopf Structures on Binary Trees (Extended Abstract) | 2009-08-25 | Paper |
| A Littlewood-Richardson rule for Grassmannian permutations | 2009-05-27 | Paper |
| Real Hessian curves | 2009-04-21 | Paper |
| Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones. | 2009-02-11 | Paper |
| The equivariant Chow rings of quot schemes | 2008-11-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3514530 | 2008-07-21 | Paper |
| Gale duality for complete intersections | 2008-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5447544 | 2008-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5447281 | 2008-03-06 | Paper |
| The recursive nature of cominuscule Schubert calculus | 2008-03-05 | Paper |
| Bounds on the Number of Real Solutions to Polynomial Equations | 2008-01-30 | Paper |
| Lines tangent to four triangles in three-dimensional space | 2007-04-26 | Paper |
| Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds | 2007-03-27 | Paper |
| A Pieri-type formula for the ${K}$-theory of a flag manifold | 2007-02-01 | Paper |
| Irrational proofs for three theorems of Stanley | 2006-12-07 | Paper |
| Grothendieck polynomials via permutation patterns and chains in the Bruhat order | 2006-09-06 | Paper |
| Lower bounds for real solutions to sparse polynomial systems | 2006-07-20 | Paper |
| Cremona convexity, frame convexity and a theorem of Santaló | 2006-07-11 | Paper |
| Polynomial systems with few real zeroes | 2006-05-26 | Paper |
| Cocommutative Hopf algebras of permutations and trees. | 2006-05-02 | Paper |
| Structure of the Loday-Ronco Hopf algebra of trees. | 2006-04-28 | Paper |
| Combinatorial Hopf algebras and generalized Dehn–Sommerville relations | 2006-04-06 | Paper |
| The Horn recursion for Schur P- and Q- functions: Extended Abstract | 2006-03-08 | Paper |
| Transversals to line segments in three-dimensional space | 2005-11-10 | Paper |
| Quiver coefficients are Schubert structure constants | 2005-09-26 | Paper |
| The envelope of lines meeting a fixed line and tangent to two spheres | 2005-08-02 | Paper |
| Real 𝑘-flats tangent to quadrics in ℝⁿ | 2005-07-26 | Paper |
| Theorems of Brion, Lawrence, and Varchenko on rational generating functions for cones | 2005-06-22 | Paper |
| A new approach to Hilbert's theorem on ternary quartics | 2005-02-22 | Paper |
| Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract) | 2005-02-01 | Paper |
| Structure of the Malvenuto-Reutenauer Hopf algebra of permutations | 2005-01-17 | Paper |
| Tropical Interpolation | 2005-01-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4817692 | 2004-09-15 | Paper |
| Elementary transversality in the Schubert calculus in any characteristic | 2004-06-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4453664 | 2004-03-07 | Paper |
| Common transversals and tangents to two lines and two quadrics in \(P\) | 2004-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4428722 | 2003-09-22 | Paper |
| Skew Schubert polynomials | 2003-07-28 | Paper |
| Complementary algorithms for tableaux | 2003-07-05 | Paper |
| Lines tangent to $2n-2$ spheres in ${\mathbb R}^n$ | 2002-10-07 | Paper |
| A sagbi basis for the quantum Grassmannian | 2002-09-17 | Paper |
| Shifted quasi-symmetric functions and the Hopf algebra of peak functions | 2002-05-15 | Paper |
| A Pieri-type formula for isotropic flag manifolds | 2002-04-08 | Paper |
| Structure of the Malvenuto-Reutenauer Hopf algebra of permutations (Extended Abstract) | 2002-03-11 | Paper |
| Some real and unreal enumerative geometry for flag manifolds. | 2002-02-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2763707 | 2002-01-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2752187 | 2002-01-16 | Paper |
| Pieri-type formulas for maximal isotropic Grassmannians via triple intersections | 2002-01-09 | Paper |
| Skew Schubert functions and the Pieri formula for flag manifolds | 2001-12-10 | Paper |
| Enumerative geometry for the real Grassmannian of lines in projective space | 2001-11-29 | Paper |
| Noncommutative Pieri operators on posets | 2001-10-03 | Paper |
| Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro | 2001-09-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4502547 | 2001-03-15 | Paper |
| Schubert Calculus, Schubert Cell, Schubert Cycle, and Schubert Polynomials | 2001-02-06 | Paper |
| An excursion from enumerative goemetry to solving systems of polynomial equations with Macaulay 2 | 2000-07-24 | Paper |
| Hopf algebras and edge-labeled posets | 2000-04-04 | Paper |
| Pieri’S Formula Via Explicit Rational Equivalence | 2000-04-04 | Paper |
| Schubert polynomials, the Bruhat order, and the geometry of flag manifolds | 2000-03-27 | Paper |
| Real rational curves in Grassmannians | 2000-03-15 | Paper |
| Numerical Schubert calculus | 2000-03-05 | Paper |
| A monoid for the Grassmannian Bruhat order | 1999-11-08 | Paper |
| The special Schubert calculus is real | 1999-06-23 | Paper |
| Some remarks on real and complex output feedback | 1998-08-13 | Paper |
| Enumerative geometry for real varieties | 1998-06-25 | Paper |
| Pieri-type formulas for maximal isotropic Grassmannians via triple intersections | 1997-08-29 | Paper |
| Real enumerative geometry and effective algebraic equivalence | 1997-06-23 | Paper |
| Identities of Structure Constants for Schubert polynomials and Orders on S_n | 1997-05-12 | Paper |
| Tableau switching: Algorithms and applications | 1997-03-23 | Paper |
| Pieri's formula for flag manifolds and Schubert polynomials | 1996-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4324888 | 1995-08-31 | Paper |
