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Award-Winning Noncommutative Algebra Tutors

Griffin

Certified Tutor

6+ years

Griffin

Bachelor of Science, Chemical Engineering
Griffin's other Tutor Subjects
6th-12th Grade Algebra
6th Grade Calculus
Middle School Math
Polynomials

I am a graduate from Kansas State University with a B.S. in Chemical Engineering. I have worked professionally as a research assistant for KSU, a project manager for Cargill, and an auxiliary engineer with Black & Veatch. With recent experience in office, industry, and university, I am fully prepare...

Education

Kansas State University

Bachelor of Science, Chemical Engineering

Test Scores
ACT
34
Ian

Certified Tutor

6+ years

Ian

Current Undergrad Student, Accounting
Ian's other Tutor Subjects
9th-12th Grade Algebra
AP Statistics
Statistics
Calculus

I am an undergraduate student in my junior year at the University of Georgia. It is currently my second semester in the Tull School of Accounting here and I plan on pursuing a Masters of Accountancy in the graduate program. I have years of experience tutoring during my time as a member of a Math Hon...

Education

University of Georgia

Current Undergrad Student, Accounting

Test Scores
SAT
1500
Samantha

Certified Tutor

6+ years

Samantha

Associate in Arts, Political Science and Government
Samantha's other Tutor Subjects
6th-12th Grade Algebra
Middle School Math
Calculus
Polynomials

I am currently working towards a Political Science degree with a focus in Statistics, and I hope to go on to law school after I graduate. My favorite subjects are Statistics, Political Science, History, English, and French.

Education

Middle Georgia State University

Associate in Arts, Political Science and Government

Test Scores
SAT
1430
Aiden

Certified Tutor

6+ years

Aiden

Bachelor in Arts, Political Science and Government
Aiden's other Tutor Subjects
6th-12th Grade Algebra
Middle School Math
Calculus
Elementary School Math

I'm a recent graduate from Reed College where I majored in Political science with additional concentrations in environmental science, sociology, philosophy, and 3D art.

Education

Reed College

Bachelor in Arts, Political Science and Government

Test Scores
ACT
33
Jack

Certified Tutor

6+ years

Jack

Bachelor of Science, Physics
Jack's other Tutor Subjects
6th-12th Grade Algebra
6th-12th Grade Calculus
Polynomials
Linear Systems

I am a Junior in college at Northeastern University working towards my Bachelor of Science in Physics. I aspire to earn my PhD in Physics after college.

Education

Northeastern University

Bachelor of Science, Physics

Test Scores
SAT
1490
Laura

Certified Tutor

Laura

Masters in Education, English Composition
Laura's other Tutor Subjects
Adult ESL/ELL
Adult Literacy
College English
College Level American Literature

When I was younger, I viewed education as a great leveler, allowing people to move from lower economic groupings to higher ones, but now, I view education as the creator of a wider path for personal and professional improvement that motivates individuals to move past where they might have stopped. F...

Education

Campbell University

Masters in Education, English Composition

University of NC at Greensboro

Bachelor of Fine Arts, Drama and Dance Teacher Education

Zachary

Certified Tutor

Zachary

Bachelor of Science, Labor and Industrial Relations
Zachary's other Tutor Subjects
Art
Elementary School Writing
English
High School Writing

I have been an educator for over 8 years and my areas of specialization are English, Literature, U.S. History, and Drama. My teaching background primarily involves working with elementary school age children, but I have also conducted workshops for middle schoolers and taught adult learners. I have ...

Education

Cornell University

Bachelor of Science, Labor and Industrial Relations

Aaron

Certified Tutor

5+ years

Aaron

Current Undergrad, Mathematics
Aaron's other Tutor Subjects
Algebra
Algebra 2
Algebra 3/4
AP Calculus AB

For as long as I have been a student, I have taken great pleasure in imparting my knowledge on others and in seeing others succeed. I especially love tutoring motivated, hard-working students to help them achieve their full potentials. When reviewing material with a student, I generally like to delv...

Education

Rice University

Current Undergrad, Mathematics

Ashli

Certified Tutor

4+ years

Ashli

Master of Arts, French
Ashli's other Tutor Subjects
Adult ESL/ELL
AP French Language and Culture
Conversational French
English

I am passionate about languages and helping you learn to speak better French or English! I provide engaging activities and authentic resources to help you build confidence and the skills to communicate effectively...in real life! My goal is to get YOU actually using the language- right away. You can...

Education

University of North Texas

Master of Arts, French

University of North Texas

Bachelor in Arts, French

Andrea

Certified Tutor

8+ years

Andrea

PHD, Urban + Public Policy
Andrea's other Tutor Subjects
College English
College Essays
Conversational Italian
Conversational Spanish

Teaching is my passion; as a Sagittarius, I am on an endless quest to learn more and help others do the same. I have taught over 100 college and graduate students in my career, in courses ranging from writing seminar to research methods.I'm currently faculty at The New School (Parsons School of Desi...

Education

The New School

PHD, Urban + Public Policy

Sarah Lawrence College

Bachelors, Liberal Arts

Test Scores
SAT
1410

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Eric

Algebra Tutor • +15 Subjects

I am a graduate of The University of Tennessee where I received a Bachelor of Science in Accounting. I also have an MBA from Tennessee Tech University and am a CPA. Outside of my academic accomplishments, I have worked in a Fortune 200 Energy company within its Finance and Accounting functions and have worked for a global healthcare company that is ranked 258 on the Forbes Global 2000 list performing various financial and accounting leadership roles. Most of my current work includes financial modeling and controlling for a global IT project, while running the FP&A function for our domestic HR Team and assisting our operations team with various types of financial analysis. I would say that I am most passionate about teaching CPA prep, Accounting, and Finance, as I have found so much practical use out of those subjects in my daily life. I practice Accounting and Finance every single day when building financial models and supervising my co-workers, some of whom are new to this subject matter. I enjoy helping people who are either students or early in their careers not only understand the subject matter they are trying to learn but also helping them understand how that knowledge can help them in their careers.This translates well to helping students prepare for the CPA exam, learning advanced financial modeling techniques, as well as basic finance and accounting. I believe that education, next to health, is the most important thing in someone's life as it opens doors to so many opportunities. In my spare time, I enjoy vigorous exercise, world travel, and I am an avid college football fan.

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Gloria

Adult Literacy Tutor • +40 Subjects

I have a Bachelor Degree in Business Administration with an emphasis in Management, a Masters Degree in Education and currently I am on a hiatus from my Doctoral program of Higher Education and Adult Learning of which I have two courses including a research course and project to complete, prayerfully I will return to complete the program soon.I am excited about where I am today, Education and serving in the community service is my passion, currently I work as an Educator in the North East area of Minneapolis. I have tutored adult computer classes at Twin City Rise, St. Paul, MN; I have tutored adults in literacy skills in West Memphis, AR and Memphis, TN. I currently serve on the Board of First Step of Hope, Inc., as well as President-Elect of the North Minneapolis Rotary Club and Minneapolis Dept. of Health; Community Action Network Committee.I have a passion for Education I happen to believe it is the key to open doors for a successful life and self fulfillment.

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Alex

10th Grade Math Tutor • +78 Subjects

My past students and friends say that my face lights up when I start talking about math (especially calculus). Between my Applied Mathematics degree from the University of Rochester and my Eagle Scout award, I have natural passions for mathematics and helping people. Let me combine these passions for you as your future tutor.

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Sarah

ACT Writing Tutor • +18 Subjects

I am a graduate of the University of Virginia, where I received a Bachelor of Arts degree in Global Public Health. After college, I went on to get my Masters of Science in Biomedical Science at Tufts University School of Medicine. I am currently applying to medical school and hope to matriculate next fall. In the past, I have tutored middle school geometry and worked as a peer tutor in a college level introductory biology lab. I have an extensive background in biology and am passionate about healthcare. I hope to share my love of science and education with my students. I understand how stressful certain classes can be, and I will break down complex topics to make them more approachable. Outside of the classroom, I work as a medical scribe and enjoy reading, running, and listening to music.

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Kim

Conversational Italian Tutor • +8 Subjects

Hello all, my name is Kim and I am a recent graduate of West Chester University! I studied Spanish Language and culture and political science, and loved every minute of it. Areas that I feel particularly strong in are grammar and pronunciation, but I can provide any type of support or clarification you need. I also studied Italian and even tutored for the university in this area.In terms of my personal interests and hobbies, I am a crazy cat lady and even manage a Cat Cafe! I like to travel and adventure when possible, cook and/or eat yummy things, take naps, and spend time with my family and friends, or make new ones

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Susie

AP Computer Science A Tutor • +20 Subjects

I am a Computer Science major at Duke University passionate about encouraging others who are learning CS so that they may come to understand the powerful, real-world impact that programming can have. As someone who has a strong background in tutoring, including, but not limited to, the chemistry tutoring club I co-founded in high school and my current involvement in the Duke Music Tutors organization, I am confident in my ability to tutor in a way that is focused, individualized, and memorable.

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Freddy

AP Biology Tutor • +15 Subjects

I have I always been particularly fond of sciences, but honestly I just enjoy learning how the world works and what makes it tick. I feel I have received a quality education from a number of teachers in different fields and would be happy to pass that knowledge along.

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Luis

10th Grade Tutor • +31 Subjects

I am a student at Miami Dade College, and I aim to transfer into Florida International University. I am pursuing a Bachelors degree in Physics and Philosophy, and more specifically Applied Physics and Philosophy of Science. Throughout my academic career I have increasingly become amazed at and passionate about the fundamental studies in the scientific field, such as pure mathematics, physics and chemistry. I tutored many of my classmates during my high school years and eventually became know as "the neighborhood tutor". Immediately after high school i began to tutor privately and have been doing so for two years. Aside from my own independent tutoring, I have worked as a math tutor in a separate tutoring company as well as a Physics assistant in my college where I helped various groups of students with college physics one and two.I have always found it a wonderful experience to introduce or develop a student's understanding of what I consider an exciting and unique perspective of the beautiful world around us. Aside from my primary interest in most science and math courses, I also have become rather adept with writing both explanatory and narrative essays. I hold education to be an intrinsic part of human existence-Humans are meant to learn. For this reason, I believe that teaching is really an internal process that happens within all of us, and my job as a tutor is only to act as a facilitator and catalyst to the powerful potential that exists within all people. Outside of my academic life, i enjoy playing the occasional game of soccer, jamming out on my trumpet, and practicing public speaking skills in both controlled and spontaneous settings.

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Juliette

ACT Writing Tutor • +30 Subjects

I completed my MA in Linguistics at Florida International University in Miami. I have been a tutor for 4 years and was a Writing Teaching Assistant for 1 year.I run my tutoring sessions by creating a nice and relaxing environment with the student, and making tutoring sessions as entertaining and efficient as possible. In my sessions, I like to have a positive outlook on whatever problem we're trying to solve in the tutoring session. Whatever issue you are trying to tackle, we can work together to solve it!I tutor courses in Spanish, English as a Second Language and English Writing.

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Djihane

ACT Math Tutor • +25 Subjects

I graduated with a bachelor's in Biology from UMass Amherst. I have been tutoring since freshmen year in college and helped students with their Biology, Chemistry, and Math classes. Along with tutoring, I work as a patient care technician in a hospital. I am passionate about medicine, baking, and learning new languages.

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Frequently Asked Questions

Noncommutative Algebra is fundamentally different because multiplication order matters—multiplying A times B doesn't necessarily equal B times A. This breaks intuitions students built from years of regular algebra, where multiplication is commutative. Students struggle because the field requires thinking about algebraic structures (groups, rings, fields) more abstractly and rigorously, rather than just manipulating equations.

Personalized tutoring helps students rebuild their mental models by starting with concrete examples—like matrix multiplication or quaternions—before tackling abstract theory. Tutors can identify exactly where abstract thinking breaks down and bridge that gap systematically.

Proofs in Noncommutative Algebra require understanding not just *what* to prove, but *why* the logical steps work—especially when commutativity can't be assumed. Many students memorize proof techniques without grasping the underlying reasoning. A tutor can walk through proofs step-by-step, asking you to explain why each move is valid and what properties or definitions justify it.

This approach builds proof-writing confidence by helping you see the structure: identifying what you know, what you need to show, and which algebraic properties bridge the gap. Over time, you'll recognize common proof patterns and develop intuition for when non-commutativity becomes essential to an argument.

The best tutors combine deep subject expertise with the ability to translate abstract concepts into understandable examples. They should be comfortable with ring theory, module theory, and representation theory—and equally comfortable explaining why non-commutativity matters through concrete cases like matrices or Lie algebras before diving into abstraction.

Look for tutors who ask you probing questions to uncover gaps in your understanding rather than just working through problems. They should help you develop a toolkit of techniques for tackling unfamiliar proofs and the ability to recognize when properties of commutative algebra don't apply. Varsity Tutors connects you with tutors who excel at building conceptual understanding in advanced mathematics.

In Noncommutative Algebra, showing work isn't just about arriving at an answer—it's about demonstrating that you understand *which properties justify each step*. Many students skip steps or assume facts that don't actually hold without commutativity, so tutors focus on teaching you to be explicit about your reasoning and cite the definitions or theorems you're using.

A tutor can help you develop a practice of narrating your problem-solving process: What are you assuming? What algebraic structure are you working in? Which properties can you use, and why? Over time, this deliberate practice builds the mathematical communication skills that are essential for success in upper-level algebra courses.

Absolutely. Math anxiety in Noncommutative Algebra often stems from feeling lost in abstraction—the material feels disconnected from intuition. Personalized tutoring combats this by grounding abstract concepts in concrete examples first. A tutor can show you that noncommutative structures like matrices or quaternions are tangible and computable before moving to abstract ring and module theory.

Building confidence happens through mastering one concept at a time and seeing patterns emerge. Tutors celebrate progress, adjust pacing to match your learning speed, and help you reframe difficult topics as challenges to solve rather than obstacles. Many students discover that Noncommutative Algebra becomes engaging once they see the structures underlying it.

Common areas where students benefit from tutoring include understanding ring homomorphisms and ideals in non-commutative settings, grasping module theory and free modules, working with representation theory, and navigating properties of group algebras and enveloping algebras. Students also frequently need help with Wedderburn's theorems, the Jacobson radical, and central simple algebras.

Beyond specific topics, tutors help students develop strategies for attacking unfamiliar problems in abstract algebra—how to identify relevant definitions, construct counterexamples, and build proofs from scratch. This meta-level problem-solving skill transfers to every unit of the course.

Noncommutative Algebra sits at the intersection of group theory, linear algebra, and abstract algebra. A tutor can help you see these connections—for example, how representation theory links Noncommutative Algebra to linear transformations, or how group algebras bridge group theory and rings. Understanding these relationships deepens your grasp of each area and shows you why Noncommutative Algebra matters.

Tutors also help you recognize applications in quantum mechanics, coding theory, and cryptography, which can make the abstract theory feel purposeful. By building a web of connections rather than learning topics in isolation, you develop more flexible problem-solving skills and a richer mathematical intuition.

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