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Patient and Compassionate Math Professor
Kaya A.

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Hourly Rate: $80

About Kaya


Bio

I became a professor because easing my students' fear of failure and cultivating the love of discovery in its place is among my greatest joys.

When people learn I'm a math professor, they often confess their aversion to math. That distaste is sadly well-earned: math education tends to favor memorization of obscure formulae over the development of an understanding of the beautiful logic of the subject. This harmful pedagogy is exacerbated by the common but unhealthy identification of good...

I became a professor because easing my students' fear of failure and cultivating the love of discovery in its place is among my greatest joys.

When people learn I'm a math professor, they often confess their aversion to math. That distaste is sadly well-earned: math education tends to favor memorization of obscure formulae over the development of an understanding of the beautiful logic of the subject. This harmful pedagogy is exacerbated by the common but unhealthy identification of good grades in math class with intelligence.

My approach to teaching begins with affirmation of my students' intelligence and compassion for their frustrations along path to learning. As a teacher, I am always patient and readily break ideas down into their fundamental parts to help students build their own mental models of how concepts fit together. I carefully select problems that are both within reach and challenging enough to provide a sense of accomplishment, and I offer friendly encouragement at every step.

My love of teaching began early: I took college calculus in 7th grade and helped my adult classmates understand the material. In 10th grade, I began to tutor calculus professionally and continued through college. While working on my PhD in abstract homotopy theory at Brown, I served as a teaching fellow, teaching classes in the math department, and continued to provide one-on-one tutoring. Since obtaining my PhD, I have been a professor in the UC Riverside math department.

Most of my teaching experience is with college-aged students, but I have taught students as young as six as well as middle and many high school students, and I have experience teaching all levels of math from middle school pre-algebra through graduate-level algebraic topology.

My compassion and patience have given me success teaching students with significant math anxiety, while my own experience as a precocious learner equips me to help advanced students realize their potential.


Education

Amherst College
Mathematics
Brown University
PhD

Policies


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Approved Subjects

AMC (Competition math)

AMC (Competition math)

I have a PhD in math from Brown University and have been a math professor for two years. I have been professionally tutoring and/or teaching math for a total of 17 years. In that time, I have helped to organize practice sessions for competition math including the Putnam as well as a similar exam open to first- and second-years in the Brown math department. I love to help students appreciate the power of elementary methods to unlock the at-first perplexing mathematical puzzles featured in competition math problems.
Discrete Math

Discrete Math

I have a PhD in math from Brown University and have been a math professor for two years. I have been professionally tutoring and/or teaching math for a total of 17 years. At Brown, I proposed, designed, and taught four iterations of a summer course for advanced high school students from around the world on logic, the foundations of mathematics, Peano arithmetic, and Zermelo–Fraenkel set theory with choice, including extended sections focusing on discrete math; I can also teach number theory, combinatorics, game theory, graph theory, abstract algebra, group theory, and discrete geometry.
Finite Math

Finite Math

I have a PhD in math from Brown University and have been a math professor for two years. I have been professionally tutoring and/or teaching math for a total of 17 years. At Brown, I proposed, designed, and taught four iterations of a summer course for advanced high school students from around the world on logic, the foundations of mathematics, Peano arithmetic, and Zermelo–Fraenkel set theory with choice, including extended sections focusing on finite math; I can also teach number theory, combinatorics, game theory, graph theory, abstract algebra, group theory, and finite geometry.
Logic

Logic

I have a PhD in math from Brown University and have been a math professor for two years. I have been professionally tutoring and/or teaching math for a total of 17 years. At Brown, I proposed, designed, and taught four iterations of a summer course for advanced high school students from around the world on logic, the foundations of mathematics, Peano arithmetic, and Zermelo–Fraenkel set theory with choice. As a category theorist with experience working in topos theory, my research relates not just to classical logic but also, via the internal logics of categories equipped with extra structure, topics such as intuitionistic logic, linear logic, constructive mathematics, and type theory. And as a homotopy theorist, type theories admitting non-trivial higher equality types like Martin-Löf type theory, homotopy type theory, and cubical type theory have been particularly pertinent to my research.
Photography

Photography

My stock photographs have been thousands of times across the internet and served to visitors more than a million times. As a professional mathematician, I am well-equipped to explain the technical details of photography to new practitioners. I have pursurd photography as a serious hobby for 18 years. My father, a professional photographer, has mentored me since elementary school, and I have taken eight semesters' worth of photography courses.
Real Analysis

Real Analysis

I have a PhD in math from Brown University and have been a math professor for two years. I have been professionally tutoring and/or teaching math for a total of 17 years. While in graduate school, I tutored undergraduate real analysis. My graduate training included two semesters of advanced real analysis, and I can offer tutoring on topics including limits, (various types of) continuity, differentiability, the Riemann integral, metric spaces, topology, sigma algebras, measure spaces, the Lebesgue measure, the Lebesgue integral, and topics from functional analysis such as Banach spaces, various types of convergence, Hilbert spaces, distributions, differential operators, and Sobolev spaces, among other related topics. As an abstract homotopy theorist, my research has interactions with the field of real analysis known as non-commutative topology via the homotopy theory of C*-algebras.
ACT English
ACT Math
ACT Science
Algebra 2
Calculus
GED
Geometry
Linear Algebra
Precalculus
Probability
Python
Kaya A.'s Photo

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Hourly Rate: $80
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