Milo Bechtloff Weising

activity

20232025

most citedStable-Limit Non-symmetric Macdonald Functions in Type A

1 citations · 1 across the 14 of their papers we have counts for

collaborators

14 papers

math.RT2025

Non-archimedean Infinite Hecke Algebra

Milo Bechtloff Weising

We study the representation theory of the infinite type A Hecke algebra over a non-archimedean field in the case where the parameter is a pseudo-uniformizer. Specifically, we consi…

math.CO2025

Saturation for Non-Symmetric Macdonald Polynomials

Milo Bechtloff Weising, Alexander E. Black

We prove that supports of non-symmetric Macdonald polynomials are $M$ -convex. As a consequence, we resolve a 2019 conjecture of Monical, Tokcan, and Yong that they have the saturat…

math.CO2025

Wreath Generalization of Littlewood Reciprocity

Milo Bechtloff Weising

Given any $m$ -dimensional complex representation $η$ of a finite group $G$ and any highest weight representation $V^{λ}$ of $GL_{nm} (C)$ we may define an action of…

math.CO2025

Higher Order Bell Symmetric Functions

Milo Bechtloff Weising

We study symmetric function analogues of the higher order Bell numbers. Their construction involves iterated plethystic exponential towers mimicking the single variable exponential…

math.CO2025

Higher Rank Macdonald Polynomials

Milo Bechtloff Weising

In this paper, we introduce higher rank generalizations of Macdonald polynomials. The higher rank non-symmetric Macdonald polynomials are Laurent polynomials in several sets of var…

math.CO2025

Multi-Symmetric Schur Functions

Milo Bechtloff Weising

We study a multi-symmetric generalization of the classical Schur functions called the multi-symmetric Schur functions. These functions form an integral basis for the ring of multi-…

math.NT2024

Artin Symmetric Functions

Milo Bechtloff Weising

In this paper we construct an algebraic invariant attached to Galois representations over number fields. This invariant, which we call an Artin symmetric function, lives in a certa…

math.CO2024

Almost Symmetric Schur Functions

Milo Bechtloff Weising

We introduce and study a generalization $s_{(μ ∣ λ)}$ of the Schur functions called the almost symmetric Schur functions. These functions simultaneously generalize the finite variabl…

math.RT2024

Delta Operators on Almost Symmetric Functions

Milo Bechtloff Weising

We construct $Δ$ -operators $F [Δ]$ on the space of almost symmetric functions $P_{a s}^{+}$ . These operators extend the usual $Δ$ -operators on the space of symmetric functi…

math.CO2024

Murnaghan-Type Representations for the Positive Elliptic Hall Algebra

Milo Bechtloff Weising

We construct a new family of graded representations $W_{λ}$ for the positive elliptic Hall algebra $E^{+}$ indexed by Young diagrams $λ$ which generalize the st…

math.RT2024

Double Dyck Path Algebra Representations From DAHA

Milo Bechtloff Weising

The double Dyck path algebra $A_{q, t}$ was introduced by Carlsson-Mellit in their proof of the Shuffle Theorem. A variant of this algebra, $B_{q, t}$ , was introduc…

math.RT2023

Murnaghan-Type Representations of the Elliptic Hall Algebra

Milo Bechtloff Weising

We construct a new family of graded representations $W_{λ}$ indexed by Young diagrams $λ$ for the positive elliptic Hall algebra $E^{+}$ which generalizes the s…

math.RT2023

Stable-Limit Non-symmetric Macdonald Functions

Milo Bechtloff Weising

We construct and study an explicit simultaneous $Y$ -eigenbasis of Ion and Wu's standard representation of the $^{+}$ stable-limit double affine Hecke algebra for the limit C…

math.RT2023★ 1 cited

Stable-Limit Non-symmetric Macdonald Functions in Type A

Milo Bechtloff Weising

We construct and study an explicit simultaneous $Y$ eigenbasis of Ion and Wu's standard representation of the $^{+}$ stable-limit double affine Hecke algebra for the limit C…