Sherman-Bennett, Melissa
- Cluster algebras and tilings for the m=4 amplituhedron
2023/10/26 by Chaim Even‐Zohar, Even-Zohar, Chaim, Tsviqa Lakrec +9 · 5 citations
Computer Science · Engineering · Mathematics · #05E14 #13F60 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #graph theory and CDMA systems
- Saturation of Newton polytopes of type A and D cluster variables
2020/12/14 by Amal Mattoo, Mattoo, Amal, Melissa Sherman-Bennett +1 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics
- Braid variety cluster structures, I: 3D plabic graphs
2022/10/10 by Galashin, Pavel, Lam, Thomas, Sherman-Bennett, Melissa +1 · 2 citations
#05E99 #13F60 #14M15 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Braid variety cluster structures, II: general type
2023/01/18 by Pavel Galashin, Galashin, Pavel, Thomas Lam +3 · 2 citations
Mathematics · Physics and Astronomy · #13F60 (Primary) 14M15 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- A cluster of results on amplituhedron tiles
2024/02/23 by Even-Zohar, Chaim, Lakrec, Tsviqa, Parisi, Matteo +3 · 3 citations
#05E14 #13F60 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
- Positroid cluster structures from relabeled plabic graphs
2020/06/18 by Chris Fraser, Fraser, Chris, Melissa Sherman-Bennett +1 · 1 citation
Mathematics · #13F60 (Primary) #14M15 (Secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)
- Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas)
2023/08/11 by Casals, Roger, Le, Ian, Sherman-Bennett, Melissa +1 · 1 citation
#13F60 #14M15 #53D12 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG)
- The Magic Number Conjecture for the m=2 amplituhedron and Parke-Taylor identities
2024/04/03 by Matteo Parisi, Parisi, Matteo, Melissa Sherman-Bennett +5 · 1 citation
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Mathematical Dynamics and Fractals #Advanced Combinatorial Mathematics
- Dimer face polynomials in knot theory and cluster algebras
2024/08/20 by Mészáros, Karola, Musiker, Gregg, Sherman-Bennett, Melissa +1 · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)