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Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)

Inventiones mathematicae, 2020-07, Vol.221 (1), p.301-327

Mellit, Anton

2020

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A proof of the shuffle conjecture

Journal of the American Mathematical Society, 2018-07, Vol.31 (3), p.661-697

2018

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The Aq,t algebra and parabolic flag Hilbert schemes

Mathematische annalen, 2020, Vol.376 (3-4), p.1303-1336

2020

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Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers

Annals of mathematics, 2020-07, Vol.192 (1), p.165-228

Mellit, Anton

2020

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Dwork’s congruences for the constant terms of powers of a Laurent polynomial

International journal of number theory, 2016-03, Vol.12 (2), p.313-321

2016

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Toric braids and (m,n)-parking functions

Duke mathematical journal, 2021-12, Vol.170 (18)

Mellit, Anton

2021

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Homology of torus knots

Geometry & topology, 2022-04, Vol.26 (1), p.47-70

Mellit, Anton

2022

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Integrality of Hausel–Letellier–Villegas kernels

Duke mathematical journal, 2018-11, Vol.167 (17)

Mellit, Anton

2018

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Elliptic dilogarithms and parallel lines

Journal of number theory, 2019-11, Vol.204, p.1-24

Mellit, Anton

2019

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On quantum cohomology of Grassmannians of isotropic lines, unfoldings of an-singularities, and Lefschetz exceptional collections

Annales de l'Institut Fourier, 2019, Vol.69 (3), p.955-991

2019

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Rationality Proofs by Curve Counting

Experimental mathematics, 2022-08, Vol.31 (3), p.773-782

Mellit, Anton

2022

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A proof of the compositional Delta conjecture

Advances in mathematics (New York. 1965), 2022-06, Vol.402, p.108342, Article 108342

2022

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Tautological classes and symmetry in Khovanov–Rozansky homology

Duke mathematical journal, 2024-09, Vol.173 (13)

2024

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Five-term relation and Macdonald polynomials

Journal of combinatorial theory. Series A, 2019-04, Vol.163, p.182-194

2019

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Type A DAHA and doubly periodic tableaux

Advances in mathematics (New York. 1965), 2023-03, Vol.416, p.108919, Article 108919

2023

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mathbb ZR$ and rings of Witt vectors $W_S(R)

Rendiconti - Seminario matematico della Università di Padova, 2019-06, Vol.142, p.93-102

2019

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The Tutte polynomial and toric Nakajima quiver varieties

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2022-10, Vol.152 (5), p.1323-1339

2022

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The $${\mathbb {A}}_{q,t}$$ algebra and parabolic flag Hilbert schemes

Mathematische annalen, 2020-04, Vol.376 (3-4), p.1303-1336

2020

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Serre duality for Khovanov–Rozansky homology

Selecta mathematica (Basel, Switzerland), 2019-12, Vol.25 (5), p.1-33, Article 79

2019

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Gamma structures and Gauss’s contiguity

Journal of geometry and physics, 2014-04, Vol.78, p.12-18

2014

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Derived categories of Keum's fake projective planes

Advances in mathematics (New York. 1965), 2015-06, Vol.278, p.238-253

2015

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Finite hypergeometric functions

Pure and applied mathematics quarterly, 2015, Vol.11 (4), p.559-589

2015

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Dubrovin's Conjecture for IG(2, 6)

International mathematics research notices, 2015, Vol.2015 (18), p.8847-8859

2015

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On quantum cohomology of Grassmannians of isotropic lines, unfoldings of A n -singularities, and Lefschetz exceptional collections

Annales de l'Institut Fourier, 2019-06, Vol.69 (3), p.955-991

2019

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Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions

International mathematics research notices, 2013-01, Vol.2013 (5), p.971-1013

2013

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Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)

A proof of the shuffle conjecture

The Aq,t algebra and parabolic flag Hilbert schemes

Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers

Dwork’s congruences for the constant terms of powers of a Laurent polynomial

Toric braids and (m,n)-parking functions

Homology of torus knots

Integrality of Hausel–Letellier–Villegas kernels

Elliptic dilogarithms and parallel lines

On quantum cohomology of Grassmannians of isotropic lines, unfoldings of an-singularities, and Lefschetz exceptional collections

Rationality Proofs by Curve Counting

A proof of the compositional Delta conjecture

Tautological classes and symmetry in Khovanov–Rozansky homology

Five-term relation and Macdonald polynomials

Type A DAHA and doubly periodic tableaux

mathbb ZR$ and rings of Witt vectors $W_S(R)

The Tutte polynomial and toric Nakajima quiver varieties

The $${\mathbb {A}}_{q,t}$$ algebra and parabolic flag Hilbert schemes

Serre duality for Khovanov–Rozansky homology

Gamma structures and Gauss’s contiguity

Derived categories of Keum's fake projective planes

Finite hypergeometric functions

Dubrovin's Conjecture for IG(2, 6)

On quantum cohomology of Grassmannians of isotropic lines, unfoldings of A n -singularities, and Lefschetz exceptional collections

Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions

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