16 citations · 38 across the 29 of their papers we have counts for
40 papers
Theta operators at , Macdonald cumulants, and LLT positivity
Jim Haglund, Vasu Tewari
We study the Theta operators of D'Adderio-Iraci-Vanden Wyngaerd at and show that the power-sum-indexed operators agree with a commuting family of der…
Long range divided differences, clusters, and Graham-positivity
Hunter Spink, Vasu Tewari
We study torus-orbit closures in the type complete flag variety naturally associated to cones in the positive cluster fan, together with their left -translates. The torus-…
The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components
Hunter Spink, Vasu Tewari
We show that the type A Springer representation is realized geometrically in the homology of the complete flag variety by Specht polynomials. For any partition, we identify the cla…
Grove polynomials and -theoretic quasisymmetry
Philippe Nadeau, Hunter Spink, Vasu Tewari
We define the grove polynomials, a set-valued extension of forest polynomials. We show that they are -theoretically dual to the quasisymmetric Schubert cells which pave the quas…
The Quasisymmetric Grassmannian
Nantel Bergeron, Lucas Gagnon, Hunter Spink +1
We construct a complex of toric varieties we call the quasisymmetric Grassmannian inside the Grassmannian of -planes in . Each irreducible component is a positroid…
The Coxeter Flag Variety
Nantel Bergeron, Lucas Gagnon, Hunter Spink +1
For a Coxeter element in a Weyl group , we define the -Coxeter flag variety as the union of left-translated Richardson varieties $w^{-1}…
Richardson tableaux and Schubert positivity
Hunter Spink, Vasu Tewari
We compute the Schubert cycle expansion of those irreducible components of Springer fibers equal to Richardson varieties. This generalizes work of Güemes in the case of a hook shap…
The quasisymmetric flag variety: a toric complex on noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set…
Equivariant quasisymmetry and noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We introduce a definition of ``equivariant quasisymmetry'' for polynomials in two sets of variables. Using this definition we define quasisymmetric generalizations of the theory of…
The geometry of quasisymmetric coinvariants
Philippe Nadeau, Hunter Spink, Vasu Tewari
We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials and divided difference…
Schubert polynomial expansions revisited
Philippe Nadeau, Hunter Spink, Vasu Tewari
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutio…
Quasisymmetric divided differences
Philippe Nadeau, Hunter Spink, Vasu Tewari
We develop a quasisymmetric analogue of the combinatorial theory of Schubert polynomials and the associated divided difference operators. Our counterparts are "forest polynomials",…
Tutte polynomials in superspace
Brendon Rhoades, Vasu Tewari, Andy Wilson
We associate a quotient of superspace to any hyperplane arrangement by considering the differential closure of an ideal generated by powers of certain homogeneous linear forms. Thi…
Forest polynomials and the class of the permutahedral variety
Philippe Nadeau, Vasu Tewari
We study a basis of the polynomial ring that we call forest polynomials. This family of polynomials is indexed by a combinatorial structure called indexed forests and permits sever…
-partitions with flags and back stable quasisymmetric functions
Philippe Nadeau, Vasu Tewari
Stanley's theory of -partitions is a standard tool in combinatorics. It can be extended to allow for the presence of a restriction, that is a given maximal value for partiti…
Remixed Eulerian numbers
Philippe Nadeau, Vasu Tewari
Remixed Eulerian numbers are a polynomial -deformation of Postnikov's mixed Eulerian numbers. They arose naturally in previous work by the authors concerning the permutahedral v…
Zonotopal algebras, orbit harmonics, and Donaldson-Thomas invariants of symmetric quivers
Markus Reineke, Brendon Rhoades, Vasu Tewari
We apply the method of orbit harmonics to the set of break divisors and orientable divisors on graphs to obtain the central and external zonotopal algebras respectively. We then re…
Down-up algebras and chromatic symmetric functions
Philippe Nadeau, Vasu Tewari
We establish Guay-Paquet's unpublished linear relation between certain chromatic symmetric functions by relating his algebra on paths to the -Klyachko algebra. The coefficients…
Alternating sign matrices and totally symmetric plane partitions
Florian Aigner, Ilse Fischer
We introduce a new family of Schur positive symmetric functions, which are defined as sums over totally symmetric plane partitions. In the first part, we show t…
Divisors on complete multigraphs and Donaldson-Thomas invariants of loop quivers
Matjaž Konvalinka, Markus Reineke, Vasu Tewari
We study the action of on the set of break divisors on complete multigraphs . We provide an alternative characterization for these divisors, by virtue of which we sh…
A -deformation of an algebra of Klyachko and Macdonald's reduced word formula
Philippe Nadeau, Vasu Tewari
There is a striking similarity between Macdonald's reduced word formula and the image of the Schubert class in the cohomology ring of the permutahedral variety as…
Alternating sign matrices and totally symmetric plane partitions
Florian Aigner, Ilse Fischer, Matjaž Konvalinka +2
We study the Schur polynomial expansion of a family of symmetric polynomials related to the refined enumeration of alternating sign matrices with respect to their inversion number,…
The permutahedral variety, mixed Eulerian numbers, and principal specializations of Schubert polynomials
Philippe Nadeau, Vasu Tewari
We compute the expansion of the cohomology class of the permutahedral variety in the basis of Schubert classes. The resulting structure constants are expressed as a sum of \e…
Trimming the permutahedron to extend the parking space
Matjaž Konvalinka, Robin Sulzgruber, Vasu Tewari
Berget and Rhoades asked whether the permutation representation obtained by the action of on parking functions of length can be extended to a permutation action of…