Search Results - "Spink, Hunter"
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Multiplicative structures and random walks in o-minimal groups
Published in Selecta mathematica (Basel, Switzerland) (01-07-2024)“…We prove structure theorems for o-minimal definable subsets S ⊂ G of definable groups containing large multiplicative structures, and show definable groups do…”
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2
Motive of the moduli stack of rational curves on a weighted projective stack
Published in Research in the mathematical sciences (01-03-2021)“…We show the compactly supported motive of the moduli stack of degree n rational curves on the weighted projective stack P ( a , b ) is of mixed Tate type over…”
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3
Algebraic and o-Minimal Flows Beyond the Cocompact Case
Published in International mathematics research notices (22-05-2024)“…Abstract Let $X \subset \mathbb{C}^{n}$ be an algebraic variety, and let $\Lambda \subset \mathbb{C}^{n}$ be a discrete subgroup whose real and complex spans…”
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4
Tautological classes of matroids
Published in Inventiones mathematicae (01-08-2023)“…We introduce certain torus-equivariant classes on permutohedral varieties which we call “tautological classes of matroids” as a new geometric framework for…”
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5
Judiciously 3‐partitioning 3‐uniform hypergraphs
Published in Random structures & algorithms (01-07-2020)“…Bollobás, Reed, and Thomason proved every 3‐uniform hypergraph ℋ with m edges has a vertex‐partition V()=V1⊔V2⊔V3 such that each part meets at least 13(1−1e)m…”
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6
Log-concavity of matroid h-vectors and mixed Eulerian numbers
Published in Duke mathematical journal (01-12-2023)Get full text
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7
Sets in Zk with doubling 2k + δ are near convex progressions
Published in Advances in mathematics (New York. 1965) (15-01-2023)“…For δ>0 sufficiently small and A⊂Zk with |A+A|≤(2k+δ)|A|, we show either A is covered by mk(δ) parallel hyperplanes, or satisfies |coˆ(A)∖A|≤ckδ|A|, where…”
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Sets in Z k with doubling 2 + δ are near convex progressions
Published in Advances in mathematics (New York. 1965) (01-01-2023)Get full text
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9
Sharp quantitative stability of the planar Brunn–Minkowski inequality
Published in Journal of the European Mathematical Society : JEMS (01-01-2024)“…We prove a sharp stability result for the Brunn–Minkowski inequality for A,B\subset\mathbb{R}^2 . Assuming that the Brunn–Minkowski deficit…”
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10
Sharp stability of Brunn–Minkowski for homothetic regions
Published in Journal of the European Mathematical Society : JEMS (01-01-2022)“…We prove a sharp stability result concerning how close homothetic sets attaining near-equality in the Brunn–Minkowski inequality are to being convex. In…”
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11
Signed permutohedra, delta‐matroids, and beyond
Published in Proceedings of the London Mathematical Society (01-03-2024)“…We establish a connection between the algebraic geometry of the type B$B$ permutohedral toric variety and the combinatorics of delta‐matroids. Using this…”
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12
Sharp L1 Inequalities for Sup-Convolution
Published 04-07-2023“…Discrete Analysis 2023:7 Given a compact convex domain $C\subset \mathbb{R}^k$ and bounded measurable functions $f_1,\ldots,f_n:C\to \mathbb{R}$, define the…”
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13
Sharp $L^1$ Inequalities for Sup-Convolution
Published in Discrete analysis (01-07-2023)“…Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset…”
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14
Symmetric Chain Decompositions of Products of Posets with Long Chains
Published in The Electronic journal of combinatorics (29-03-2018)“…We ask if there exists a symmetric chain decomposition of the cuboid $Q_k \times n$ such that no chain is taut, i.e. no chain has a subchain of the form…”
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15
Applications of Combinatorics to Problems of Geometry
Published 01-01-2020“…This thesis concerns applications of combinatorics to problems of geometry. Combinatorics and geometry are almost antipodal in the world of mathematics…”
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Dissertation -
16
Multiplicative structures and random walks in o-minimal groups
Published 16-06-2022“…We prove structure theorems for o-minimal definable subsets $S\subset G$ of definable groups containing large multiplicative structures, and show definable…”
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17
Algebraic and o-minimal flows beyond the cocompact case
Published 22-09-2022“…Let $X \subset \mathbb{C}^n$ be an algebraic variety, and let $\Lambda \subset \mathbb{C}^n$ be a discrete subgroup whose real and complex spans agree. We…”
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18
Modified diagonals and linear relations between small diagonals
Published 01-10-2018“…We prove that the vanishings of the modified diagonal cycles of Gross and Schoen govern the $\mathbb{Z}$-linear relations between small $m$-diagonals…”
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19
The geometry of quasisymmetric coinvariants
Published 16-10-2024“…We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials…”
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20
Schubert polynomial expansions revisited
Published 02-07-2024“…We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly…”
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