Anton Mellit

Geometry and Topology · 2013–2020

A researcher in the Science corpus: 6 papers; trusts 20 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 33 citations into it; #3,025 of 7,422 by trust here, #4,709 by citations
• Mathematical Physics — 28 citations into it; #3,749 of 8,562 by trust here, #5,794 by citations
• Discrete Mathematics and Combinatorics — 21 citations into it; #1,237 of 2,017 by trust here, #1,251 by citations
• Algebra and Number Theory — 10 citations into it; #1,488 of 2,864 by trust here, #2,609 by citations

Whom Anton Mellit trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Peter B. Gothen
2. O. Garc'ia-Prada
3. Tamás Hausel
4. E. Gorsky
5. James Haglund
6. O. Schiffmann
7. M. Kapranov
8. Mark D. Haiman
9. Erik Carlsson
10. Fernando Rodriguez-Villegas

Who trusts Anton Mellit overall

1. Davesh Maulik
2. Junliang Shen
3. James Haglund
4. Michele D’Adderio

Papers from Anton Mellit's perspective

Ordered by how strongly the researchers Anton Mellit trusts endorse each paper. Same corpus, a different order for every researcher.

1. Hilbert schemes, polygraphs and the Macdonald positivity conjecture
2. Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles
3. Torus knots and the rational DAHA
4. The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
5. Homological Algebra of Twisted Quiver Bundles
6. Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers (Annals of Mathematics)
7. On presentations of surface braid groups
8. Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
9. Mixed Hodge polynomials of character varieties
10. Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces

Their papers

• A proof of the compositional Delta conjecture (2020) — 47 citations
• Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers (2017) — 50 citations
• Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures) (2017) — 56 citations
• Toric braids and (m,n)-parking functions (2016) — 74 citations
• A proof of the shuffle conjecture (2015) — 212 citations
• Dwork's congruences for the constant terms of powers of a Laurent polynomial (2013) — 47 citations