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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
Mikhail

Certified Tutor

15+ years

Mikhail

Bachelors, Mathematics, Economics, Pre-Medical Track
Mikhail's other Tutor Subjects
Algebra
Algebra 2
Biology
Business

I was born in Russia and grew up in NYC where I attended Stuyvesant High School. I graduated Summa Cum Laude from Binghamton University where I majored in mathematics and economics and completed a core group of science courses that were part of the Pre-Medical track. I am currently applying to medic...

Education

SUNY at Binghamton

Bachelors, Mathematics, Economics, Pre-Medical Track

Claire

Certified Tutor

10+ years

Claire

Masters, Music
Claire's other Tutor Subjects
Conversational French
French
French 1
French 2

Bonjour tous,My name is Claire and I am born and raised in France. I moved to California in 2010 to study classical music and in May 2016 I received a Master in clarinet performance. On top of my musical studies, I have been tutoring and teaching French to students at my university and privately. I ...

Education

CSUF

Masters, Music

CSUF

Bachelors, Music

Kyle

Certified Tutor

9+ years

Kyle

Associate in Science, Computer and Information Systems Security
Kyle's other Tutor Subjects
AP Computer Science Principles
C++
Computer Programming
Computer Science

I'm a current college student pursuing a Bachelor's degree in software engineering. I'm proficient with Java, and knowledgeable in C++, HTML, CSS, and a basic understanding of Python. Outside of the classroom I'm a house and techno DJ.

Education

CUNY Kingsborough Community College

Associate in Science, Computer and Information Systems Security

Pryce

Certified Tutor

3+ years

Pryce

Bachelor of Science, Economics
Pryce's other Tutor Subjects
Algebra
Business
Business Calculus
Business Statistics

Hi, My name is Pryce and I am excited to be your GRE and/or math and economics tutor! I recently graduated from the University of Pennsylvania, where I studied economics and math and gained experience as a peer tutor. On my most recent GRE test, I scored a 170V and 169Q, and am excited to share what...

Education

University of Pennsylvania

Bachelor of Science, Economics

Jameshia

Certified Tutor

4+ years

Jameshia

Bachelor in Arts, Music
Jameshia's other Tutor Subjects
Creative Writing
Elementary School
Elementary School English
Elementary School Math

Hello my name is Mrs.Edmond, and my passion is to help and create a safe learning experience for children. It brings joy to know that children are trying to better themselves in every way.

Education

Lane College

Bachelor in Arts, Music

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William Francis

Algebra Tutor • +17 Subjects

I am currently a rising freshman at the University of North Carolina at Chapel Hill and plan on majoring in business and potentially computer science. I have a passion for math and have tutored my younger brother (2 years younger) and his friends for the past few years during which I have come to enjoy tutoring. My favorite subject to tutor is math up to AP Calculus AB, and physics as that is what I have the most experience with. I have a very strong focus on helping students understand WHY they are doing something in a math problem instead of just telling them what to do, as I feel that allows the student to understand the material significantly better. I also have experience tutoring the math section of the SAT.

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Clayton

Arithmetic Tutor • +10 Subjects

In sharing my qualifications and interests, I hope to provide you with tremendous confidence in my abilities to not only establish a strong rapport with you, but to also be an exceptional teacher in arithmetic, elementary math, middle school math, and pre-algebra!I currently have seven years of experience teaching upper elementary education. The last two years of my career were spent in Hong Kong at an international Christian school. During this time, I learned a lot about how to connect with a wide variety of students and learning styles. In 2007, I received my Bachelor's in Elementary Education at Missouri Western State University and, in 2010, I completed my Master's in Elementary Administration at William Woods University.I consider myself to be a creative individual, with a variety of interests including family, outdoors, and music. Almost every Sunday, my wife, my daughter, and I go to my parents' house to have lunch and spend time with my family. When I lived in Hong Kong, this was something that I really missed a lot! My interest in music is rooted in the fact that I was in band all through school and college. I can play the Euphonium, a little piano, guitar, harmonica, and the mandolin. And if you are wondering what kinds of things I like to do outdoors, it would most definitely be hiking and fishing! In fact, I almost wish I could be outdoors catching some fish right now!

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Jane

10th Grade Reading Tutor • +31 Subjects

For as long as I can remember, I have been passionate about literature and languages. With a background in creative writing, I am confident that I can help any student struggling to connect with the language arts. Additionally, I have extensive knowledge of the French language, having spent 6 years living in the Paris area.

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Tucker

Algebra Tutor • +8 Subjects

My main focus is tutoring elementary up to college-level algebra, calculus, and statistics. I used to work in the math tutoring center at the university I attended and I'm a Math major with a concentration in Statistics. Currently I teach highschool math. I have over a years worth of experience tutoring students in a variety of different math subjects.

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Danielle

Algebra Tutor • +26 Subjects

I'm passionate about teaching and learning. I'm a certified Math teacher in NY. I have over 8 years teaching experience in NYC public schools, in grades 7-12. I enjoy working with children and adults of all ages. My favorite part of teaching is when students have an "ah-ha" moment and everything clicks and comes together. I also like watching children become more confident in their abilities and their skill level and grades improve.I have a BA in Business Administration, with a minor in Economics from the University of Connecticut.I have an MS in Secondary Education from Pace University and an MA in Education Policy from Columbia University.In my free time I enjoy art, design, yoga, cooking, and holistic wellness.

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Esther

1st Grade Reading Tutor • +57 Subjects

I have recently graduated from the Burnett Honors College at the University of Central Florida with a Bachelors degree in Biomedical Sciences. This upcoming year I am going to the Institute of Human Nutrition at Columbia University to get an MS in Nutrition and Metabolism.I have been a tutor for college students for 2 years at my university, teaching Organic Chemistry 1 and General Chemistry. I've also helped high school students with college admission essays, and with kindergartners in the Junior Achievement program.I enjoy working with children and finding creative ways for them to learn the material and to try to inspire a desire to learn by making learning fun for them. I also really enjoy teaching general chemistry, because I find the material fascinating. When I tutor a student, I don't just give them the answers, but rather I guide them to the answers. It is important that a student learns how to find the answers themselves so they do not become dependent on outside sources.

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Neal

Algebra Tutor • +30 Subjects

I am currently a student at the University of Missouri Kansas City as a part of their 6 year direct medical program. Medicine is my passion, and I'm thrilled that we are able to interview patients in the hospital and learn from them very early on in the process.The best teachers I've ever had have been more than just adults. They were passionate about the material they taught, and that passion was carried over to me. That is the main thing I hope to show students. A passion that will help them understand the material better.One of my favorite parts of tutoring is getting to know the students' learning style and how they think. The best part is that I have just recently taken all the subjects I have listed to tutor in. The information is fresh in my mind, so I can approach the content from many different angles to help the student understand the material.Outside of school, I spend a lot of my time at Buffalo Wild Wings, hands down the best wings I have ever eaten. Consequently, I also spend a lot of my time exercising - usually swimming or weightlifting.

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Brandon

Algebra Tutor • +33 Subjects

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As an adjunct professor of finance, I enjoy helping individuals find their way within the finance and business worlds. As a swimming coach, I enjoy helping individuals reach their goals. I am patient and kind and have been in your shoes. I am a strong tutor with the Series 65, 66, and 7.

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Khali

Admissions Tutor • +21 Subjects

"You got a dream... You gotta protect it. People can't do somethin' themselves, they wanna tell you you can't do it. If you want somethin', go get it. Period." -The Pursuit of Happyness (2006)As a 140+ time author, hip-hop artist, poet, spoken word performer and content creator - if there is anything that I know about dreams, I would like to tell you that taking your own path isn't the easiest feat in the world.Society teaches us that we should have the picketed fence, the perfect family and the college degree for the spacious cubicle twenty-five miles away from where you live. Honestly, that is not everyone's vision. Some of us do not desire to be average. Some of us do not desire to settle for a life of mediocrity.Some of us do not desire to let the talents and ideas given to us from higher powers go to waste all because we wanted to please someone else by fitting ourselves into their boxes. The world is constantly evolving and us as a species, we must evolve with it.I believe that the freedom of expression, whether it be in the humanities, performing arts, activism or essential services will help us to evolve and become more accepting of our differences. I've had the pleasure to use my aptitude for writing and performing to touch souls and hearts from all walks of life.My passion to heal the traumas of those that came before me along with my own gives me the fuel that I need to continue being of service to others as a beacon of light to show you no matter what life throws at you, never let that stop you in your tracks!

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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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