1 citations · 1 across the 6 of their papers we have counts for
6 papers
The 3-strand braid group with torsion
Ethan Dlugie, Tahsin Saffat
In the 1950s, H. S. M. Coxeter considered the quotients of braid groups given by adding the relation that all half Dehn twist generators have some fixed, finite order. He found a r…
GAUSS: Benchmarking Structured Mathematical Skills for Large Language Models
Yue Zhang, Jiaxin Zhang, Qiuyu Ren +5
We introduce \textbf{GAUSS} (\textbf{G}eneral \textbf{A}ssessment of \textbf{U}nderlying \textbf{S}tructured \textbf{S}kills in Mathematics), a benchmark that evaluates LLMs' mathe…
Lipschitz Functions on Sparse Graphs
Samuel Korsky, Tahsin Saffat, Dhroova Aiylam
In this work we attempt to count the number of integer-valued -Lipschitz functions (functions that change by at most along edges) on two classes of sparse graphs; grid graph…
Hecke action on tamely ramified Eisenstein series over
Tahsin Saffat
We study the space of automorphic functions for the rational function field tamely ramified at three places. Eisenstein series are functions induced from the maxi…
A Quantum Algorithm for Functions of Multiple Commuting Hermitian Matrices
Yonah Borns-Weil, Tahsin Saffat, Zachary Stier
Quantum signal processing allows for quantum eigenvalue transformation with Hermitian matrices, in which each eigenspace component of an input vector gets transformed according to…
A Reed Muller-based approach for optimization of general binary quantum multiplexers
Kevin Jin, Tahsin Saffat, Marek Perkowski
Previous work has provided methods for decomposing unitary matrices to series of quantum multiplexers, but the multiplexers created in this way are highly non-minimal. This paper p…