Publications on Homepage of Anton Mellit /publication/ Recent content in Publications on Homepage of Anton Mellit Hugo -- gohugo.io en-us © 2018–2026 Anton Mellit Sun, 01 Jan 2017 00:00:00 +0100 Coherent sheaves on surfaces, COHAs and deformed $W_{1+\infty}$-algebras /publication/mellit-2026-coherent/ Thu, 01 Jan 2026 00:00:00 +0000 /publication/mellit-2026-coherent/ Cohomology rings of character varieties /publication/mellit-2025-cohomology/ Thu, 01 Jan 2026 00:00:00 +0000 /publication/mellit-2025-cohomology/ Hard Lefschetz phenomena and Lie algebra actions in various contexts /publication/mellit-2026-lefschetz/ Thu, 01 Jan 2026 00:00:00 +0000 /publication/mellit-2026-lefschetz/ On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley–Stembridge conjecture /publication/griffin-2025-macdonald/ Thu, 01 Jan 2026 00:00:00 +0000 /publication/griffin-2025-macdonald/ Refined Verlinde and Segre formula for Hilbert schemes /publication/gottsche-2022-refined/ Thu, 01 Jan 2026 00:00:00 +0000 /publication/gottsche-2022-refined/ Tautological classes for $(n,n+1)$ torus knots /publication/gorsky-2026-tautological/ Thu, 01 Jan 2026 00:00:00 +0000 /publication/gorsky-2026-tautological/ A combinatorial formula for the nabla operator /publication/carlsson-2020-combinatorial/ Wed, 01 Jan 2025 00:00:00 +0000 /publication/carlsson-2020-combinatorial/ On the global dimension of Nakayama algebras /publication/klasz-2025-global/ Wed, 01 Jan 2025 00:00:00 +0000 /publication/klasz-2025-global/ Symmetric and non-symmetric F-conjectures are equivalent /publication/fedorchuk-2025-symmetric/ Wed, 01 Jan 2025 00:00:00 +0000 /publication/fedorchuk-2025-symmetric/ Toric stratifications of character varieties /publication/mellit-2019-cell/ Wed, 01 Jan 2025 00:00:00 +0000 /publication/mellit-2019-cell/ Automorphisms and deformations of regular semisimple Hessenberg varieties /publication/brosnan-2024-automorphisms/ Mon, 01 Jan 2024 00:00:00 +0000 /publication/brosnan-2024-automorphisms/ Tautological classes and symmetry in Khovanov–Rozansky homology /publication/gorsky-2021-tautological/ Mon, 01 Jan 2024 00:00:00 +0000 /publication/gorsky-2021-tautological/ Type $A$ DAHA and doubly periodic tableaux /publication/bittmann-2023-type/ Sun, 01 Jan 2023 00:00:00 +0000 /publication/bittmann-2023-type/ $P=W$ via $\mathcal{H}_2$ /publication/hausel-2022-p/ Sat, 01 Jan 2022 00:00:00 +0000 /publication/hausel-2022-p/ A proof of the compositional Delta conjecture /publication/dadderio-2022-proof/ Sat, 01 Jan 2022 00:00:00 +0000 /publication/dadderio-2022-proof/ Homology of torus knots /publication/mellit-2017-homology/ Sat, 01 Jan 2022 00:00:00 +0000 /publication/mellit-2017-homology/ Rationality proofs by curve counting /publication/mellit-2019-rationality/ Sat, 01 Jan 2022 00:00:00 +0000 /publication/mellit-2019-rationality/ The Tutte polynomial and toric Nakajima quiver varieties /publication/abdelgadir-2019-tutte/ Sat, 01 Jan 2022 00:00:00 +0000 /publication/abdelgadir-2019-tutte/ GKM spaces, and the signed positivity of the nabla operator /publication/carlsson-2021-gkm/ Fri, 01 Jan 2021 00:00:00 +0000 /publication/carlsson-2021-gkm/ Non-abelian Abel's theorems and quaternionic rotation /publication/golyshev-2021-non/ Fri, 01 Jan 2021 00:00:00 +0000 /publication/golyshev-2021-non/ Toric braids and $(m,n)$-parking functions /publication/mellit-2016-toric/ Fri, 01 Jan 2021 00:00:00 +0000 /publication/mellit-2016-toric/ Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers /publication/mellit-2020-poincare2/ Wed, 01 Jan 2020 00:00:00 +0000 /publication/mellit-2020-poincare2/ Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures) /publication/mellit-2020-poincare/ Wed, 01 Jan 2020 00:00:00 +0000 /publication/mellit-2020-poincare/ The $A_{q,t}$ algebra and parabolic flag Hilbert schemes /publication/carlsson-2019-aqt/ Wed, 01 Jan 2020 00:00:00 +0000 /publication/carlsson-2019-aqt/ $ZR$ and rings of Witt vectors $W_S(R)$ /publication/deninger-2019-zr/ Tue, 01 Jan 2019 00:00:00 +0000 /publication/deninger-2019-zr/ Elliptic dilogarithms and parallel lines /publication/mellit-2019-elliptic/ Tue, 01 Jan 2019 00:00:00 +0000 /publication/mellit-2019-elliptic/ Five-term relation and Macdonald polynomials /publication/garsia-2016-five/ Tue, 01 Jan 2019 00:00:00 +0000 /publication/garsia-2016-five/ On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections /publication/morales-2019-quantum/ Tue, 01 Jan 2019 00:00:00 +0000 /publication/morales-2019-quantum/ Serre duality for Khovanov-Rozansky homology /publication/gorsky-2019-serre/ Tue, 01 Jan 2019 00:00:00 +0000 /publication/gorsky-2019-serre/ Torus link homology /publication/hogancamp-2019-torus/ Tue, 01 Jan 2019 00:00:00 +0000 /publication/hogancamp-2019-torus/ A proof of the shuffle conjecture /publication/carlsson-2017-proof/ Mon, 01 Jan 2018 00:00:00 +0000 /publication/carlsson-2017-proof/ Integrality of Hausel-Letellier-Villegas kernels /publication/mellit-2018-integrality/ Mon, 01 Jan 2018 00:00:00 +0000 /publication/mellit-2018-integrality/ Mirror symmetry with branes by equivariant Verlinde formulae /publication/hausel-2017-mirror/ Mon, 01 Jan 2018 00:00:00 +0000 /publication/hausel-2017-mirror/ There is no strongly regular graph with parameters (460,153, 32, 60) /publication/bondarenko-2018-there/ Mon, 01 Jan 2018 00:00:00 +0000 /publication/bondarenko-2018-there/ Dwork's congruences for the constant terms of powers of a Laurent polynomial /publication/mellit-2013-dwork/ Fri, 01 Jan 2016 00:00:00 +0000 /publication/mellit-2013-dwork/ Plethystic identities and mixed Hodge structures of character varieties /publication/mellit-2016-plethystic/ Fri, 01 Jan 2016 00:00:00 +0000 /publication/mellit-2016-plethystic/ Derived categories of Keum's fake projective planes /publication/galkin-2015-derived/ Thu, 01 Jan 2015 00:00:00 +0000 /publication/galkin-2015-derived/ Dubrovin's conjecture for IG (2, 6) /publication/galkin-2014-dubrovin/ Thu, 01 Jan 2015 00:00:00 +0000 /publication/galkin-2014-dubrovin/ Finite hypergeometric functions /publication/beukers-2015-finite/ Thu, 01 Jan 2015 00:00:00 +0000 /publication/beukers-2015-finite/ Update on quantum cohomology of IG (2, 2n) /publication/mellit-2015-update/ Thu, 01 Jan 2015 00:00:00 +0000 /publication/mellit-2015-update/ Gamma structures and Gauss's contiguity /publication/golyshev-2014-gamma/ Wed, 01 Jan 2014 00:00:00 +0000 /publication/golyshev-2014-gamma/ Convolution bootstrap percolation models, Markov-type stochastic processes, and mock theta functions /publication/bringmann-2012-convolution/ Tue, 01 Jan 2013 00:00:00 +0000 /publication/bringmann-2012-convolution/ Joyce invariants for K3 surfaces and mock theta functions /publication/mellit-2009-joyce/ Thu, 01 Jan 2009 00:00:00 +0000 /publication/mellit-2009-joyce/ Higher Green's functions for modular forms /publication/mellit-2008-higher/ Tue, 01 Jan 2008 00:00:00 +0000 /publication/mellit-2008-higher/ Algebras Generated by Linearly Dependent Elements with Prescribed Spectra /publication/mellit-2005-algebras/ Sat, 01 Jan 2005 00:00:00 +0000 /publication/mellit-2005-algebras/ Certain Examples of Deformed Preprojective Algebras and Geometry of Their $*$-Representations /publication/mellit-2005-certain/ Sat, 01 Jan 2005 00:00:00 +0000 /publication/mellit-2005-certain/ Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation /publication/mellit-2004-kleinian/ Thu, 01 Jan 2004 00:00:00 +0000 /publication/mellit-2004-kleinian/ On $*$-representations of algebras of Temperley-Lieb type and algebras generated by linearly dependent generators with given spectra /publication/mellit-2004-representations/ Thu, 01 Jan 2004 00:00:00 +0000 /publication/mellit-2004-representations/ When is a sum of partial reflections equal to a scalar operator? /publication/mellit-2004-sum/ Thu, 01 Jan 2004 00:00:00 +0000 /publication/mellit-2004-sum/ The case where the sum of three partial reflections is equal to zero /publication/mellit-2003/ Wed, 01 Jan 2003 00:00:00 +0000 /publication/mellit-2003/ Stochastic integral of Skorokhod type with respect to random measures /publication/mellit-2001/ Mon, 01 Jan 2001 00:00:00 +0000 /publication/mellit-2001/