105 citations · 131 across the 20 of their papers we have counts for
21 papers
A New Partial Order on SYT
Gizem Karaali, Isabella Senturia, Müge Taşkin
We define a new partial order on , the set of all standard Young tableaux with cells, by combining the chain order with the notion of horizontal strips. We prove various…
On Mathematical Ways of Knowing
Gizem Karaali
Mathematics is one of the ways our species makes sense of this world and I believe that it is inherent in our thinking machinery. The mathematics we do in turn is dependent on the…
Doing Math in Jest: Reflections on Useless Math, the Unreasonable Effectiveness of Mathematics, and the Ethical Obligations of Mathematicians
Gizem Karaali
Mathematicians occasionally discover interesting truths even when they are playing with mathematical ideas with no thoughts about possible consequences of their actions. This paper…
Homophonic Quotients of Linguistic Free Groups: German, Korean, and Turkish
Herbert Gangl, Gizem Karaali, Woohyung Lee
In 1993, the homophonic quotient groups for French and English (the quotient of the free group generated by the French (respectively English) alphabet determined by relations repre…
Emotional Labor in Mathematics: Reflections on Mathematical Communities, Mentoring Structures, and EDGE
Gizem Karaali
Terms such as "affective labor" and "emotional labor" pepper feminist critiques of the workplace. Though there are theoretical nuances between the two phrases, both kinds of labor…
An improved uncertainty principle for functions with symmetry
Stephan Ramon Garcia, Gizem Karaali, Daniel J. Katz
Chebotarëv proved that every minor of a discrete Fourier matrix of prime order is nonzero. We prove a generalization of this result that includes analogues for discrete cosine and…