Award-Winning Modern Algebra
Tutors
Award-Winning
Modern Algebra
Tutors
Private 1-on-1 tutoring, weekly live classes for academic support, test prep & enrichment, practice tests and diagnostics, and more to elevate grades and test scores.
Based on 3.4M Learner Ratings
UniversitiesSchools & Universities
DeliveredHours Delivered
ProficiencyGrowth in Proficiency
Who needs tutoring?
No obligation. Takes ~1 minute.

Engineering training builds a specific kind of mathematical instinct — Griffin spent his chemical engineering program at Kansas State working with the same symmetry and structural reasoning that underpins group theory and ring properties. He breaks abstract proofs into concrete steps, connecting concepts like cosets and homomorphisms back to patterns students can visualize. His 34 ACT composite and deep algebra range (from linear systems through commutative and abstract algebra) reflect genuine fluency with the material.

Most students stumble in modern algebra not because the definitions are hard, but because proof techniques feel like a foreign language after years of computational math. Ian's deep algebra range — from associative and commutative algebra through abstract and noncommutative algebra — means he can trace how familiar ideas like factoring polynomials evolve into the structural reasoning behind groups and rings. He anchors new concepts like normal subgroups and quotient structures in worked examples before moving to formal proofs.
Groups, rings, and fields form the backbone of modern algebra, but the real challenge is learning to think in proofs rather than computations. Aiden's liberal arts training at Reed — where seminar-style argumentation was the norm — translates naturally into teaching students how to construct rigorous algebraic arguments about homomorphisms, cosets, and quotient structures.
A physics major at Northeastern, Jack encounters the algebraic structures behind modern algebra — groups, symmetries, transformations — every time he works through quantum mechanics or crystallography problems. That physical intuition gives him a concrete way to unpack proof techniques around subgroups, isomorphisms, and ring properties that can feel untethered in a pure math course. Rated 4.6 by students.
Groups, rings, and fields form the backbone of modern algebra, but the real challenge is learning to think in proofs rather than computations. Samantha's extensive algebra background — spanning everything from linear systems to commutative and abstract algebra — means she can bridge the gap between computational math and the proof-based reasoning that courses like this demand.
I am an interdisciplinary educator with an Ed.M. from the Harvard Graduate School of Education and a B.A. from Dartmouth College. My background is primarily in integrated arts learning and museum education and I specialize in visual arts, history and art history, and object-based learning. In all subjects, I take a creative, inquiry-based and learner-centered approach, designing opportunities for each unique individual to meet their learning goals.
I'm not tutoring or buried in my textbooks, you will either find me rock climbing at the Triangle Rock Club, playing Ultimate Frisbee, working on my car, or enjoying the great outdoors (beaches, mountains, forests--you name it, I love it). On rainy weekends I enjoy tinkering with computers and old electronics, playing Pokemon, or picking at my guitar.
I am a recent graduate from a masters program in biostatistics at Columbia University. I received my Bachelor of Arts in biological sciences, with a focus in neurobiology at Northwestern University. In August, I will be starting a doctoral program in biostatistics at NYU. I was a teaching assistant at Columbia University in my department and also have tutored graduate students and undergraduates privately as well. My primary areas of tutoring are math and statistics coursework in addition to math sections on standardized tests such as the GRE and GMAT. I am very passionate about helping students feel more confident and excited about math. In my spare time, I enjoy running, playing piano, and spending time with friends and family.
I am a graduate of Wesleyan University, where I received my Bachelor of Arts in Sociology with High Honors. With eight years of experience working in education, I've tutored students in math, science, history, and English, as well as helped students prepare for standardized tests. I've guided adults towards passing the US Citizenship Exam and taught English in India, where I lived for six months. Whenever I work with a student I personalize the lessons to fit their particular learning style, since I know every student is unique and having the right fit can make all the difference in making learning fun and effective. My strengths are tutoring the social sciences and humanities, as well as making math and standardized tests approachable to students that normally don't like those subjects. In my spare time I like traveling, spending time in the outdoors (climbing & backpacking), meditation, and playing soccer. Next fall I will be beginning my PhD in Education at Harvard University.
I am a rising sophomore at Harvard College and am about to declare as a Mechanical Engineering concentrator, working towards a Bachelor of Science degree. I've always enjoyed sharing my knowledge with my peers and those around me and have done so in both formal and informal settings. I've been a tutor for both Math and Spanish programs in high school and enjoyed the strides I made with students. I am willing to tutor any subject I have a background in, but am strong in mathematics, the sciences, Spanish, history, writing, and ACT prep. I enjoy teaching mathematics most due to the joy I can see in children once they master a topic and can answer even pointed questions meant to stump them, and maybe even put their knowledge to real world use. As a tutor, I like to give a strong foundation to orient my student, and then gradually grant them more freedom and independence until they can feel themselves grasp the concept, pointing out pitfalls or common errors along the way; teachers who used these methods on me always left the most lasting impressions. Outside of my studies, I really enjoy listening to music, both old favorites and new interests, reading classics, and gaming/playing basketball with my friends.
I am proud to be a part of Varsity Tutors! I am originally from San Antonio, TX; I completed my undergraduate education at Rice University in Houston where I received a bachelor's degree in Biochemistry and Cell Biology. Currently, I am in my second year of medical school at Baylor College of Medicine.
I'm Solange - a recent graduate from Harvard where I studied Sociology & Women's Studies. I've been tutoring for eight years now, and have worked with a wide range of ages and in a wide range of subjects. Some of my specialties are college prep/test taking II worked in the admissions office on campus); social sciences; and literature/writing.
I am a graduate of Washington University in St Louis, where I received my Bachelor of Arts in History with minors in Humanities and Anthropology. Since graduation, I have worked as a tutor, teacher, and director of tutors at a charter public middle school in Boston. During this time I also received my Masters in Mild to Moderate Disabilities from Simmons College. I have worked extensively with students with a range of abilities, including students with specific learning disabilities, emotional impairments, dyslexia, and ADHD. My teaching experience has given me a deep understanding of the knowledge and habits essential to academic success and has given me the opportunity to hone a variety of strategies that ensure students at each level can achieve their academic goals. While I tutor a broad range of subjects, my favorite ones are Reading, Elementary/Middle School Math, History, and Test Prep. In my experience, tutoring is the most rewarding when a student has that "aha!" moment and achieves a new level of understanding and confidence in his/her abilities. I am a firm believer in the transformative power of education, and I see my role to be that of a facilitator and coach who is there to help the student reach his/her goals through individualized support and rigorous practice. In my free time, I enjoy reading, running, practicing my Spanish, and discovering new music. I am also an avid traveler and just got back from a 3 month trip to South America. I look forward to the opportunity to work with you!
I am a junior Mechanical Engineering major at Yale, and I hope to become a Naval Aviator after college. I am also a varsity sailor, and enjoy playing music with friends when I can get some free time. I have been tutoring my fellow students throughout my entire academic career, and I would best describe my tutoring style as one that adapts to each students' needs. For example, I have always tried to frame questions in a different way so that the student can better understand the question. Some students need visual representations of numbers and systems to understand them, and others benefit more by understanding the concepts behind each formula. I prefer to tutor in math and physics, and especially with real world application problems. I hope to help students improve their standardized test scores and their understanding of the math and sciences so that they can achieve their academic goals!
I am an aspiring applied mathematician, with particular interest in image processing and climate science. I graduated in May 2017 from Washington University in St. Louis with a bachelor's in physics and mathematics, and am beginning a PhD program in September 2017 at the University of Chicago in Computational and Applied Mathematics. I've tutored introductory physics students for three years and enjoyed it thoroughly, as a chance to help other students while revisiting fundamental concepts to enhance my own knowledge. I'm eager to continue reaching out and helping students of math and physics to succeed and, furthermore, to appreciate the beauty and power of these subjects.
I am excited to be home and help fellow straphangers on their educational paths! My largest wealth of tutoring experience is in foreign languages--particularly French--but I also feel very comfortable editing essays of any kind and working through standardized test concepts. My availability is extremely flexible, and anywhere in New York City works for me. I look forward to working with you.
I am a graduate of McGill University (BA First Class Honors) and the University of Edinburgh (MSc First Class Honors with Distinction) with over eight years of tutoring experience. I am currently a curriculum developer for a company which creates relatable and culturally-literate courses for middle and high-schools, and am particularly adept at communicating and explaining concepts in a quirky, engaging, and intelligent manner. I was named Scotland International Young Thinker of the Year 2014 for exactly that sort of work. Much of my tutoring background is in test-prep and essay coaching, which I enjoy because it allows the tutor and student to think strategically together, and work as a team to achieve concrete results. I have worked with students ranging in age from 6-32, and believe that, in an educational context, a few jokes never hurt anybody. I love reading and learning, and my educational approach is centered around making the material just as engaging to students as it is to me. I think J.K. Rowlings, the writer of Harry Potter, is just as brilliant as Stephen Hawking, and in my free time, I manage my (terrible) fantasy baseball team, write songs for my comedy band, and crack jokes about terrible science-fiction movies with my friends.
I am a graduate of the University of Chicago where I received my undergraduate degree in political science. Right after graduation, I worked as an academic and test prep tutor as well as admissions consultant in Hong Kong. For the past two years, I worked with a number of students to help prepare them for college in the United States.
I am a graduate of MIT. I received my Bachelor of Science in Mathematics with minors in Management Science and Ancient and Medieval Studies. Since graduation, I have started my PhD at Georgia Tech in Operations Research. Throughout my career I have TA'd several math and computer science courses at the college level. I have also taught at summer programs for gifted middle school and high school students. I am passionate about tutoring kids in math and science because I think that a strong foundation in STEM at an early age can set the tone for their future. In my spare time I like to engage in athletics, and was a Division 1 rower in college.
I am currently attending Johns Hopkins University, pursuing a dual degree in Computer Science and Applied Math and Statistics. I love helping students and I love the feeling I get knowing that I was able to use my knowledge to make someone else happier. My favorite subject to teach is math because there are so many ways to learn it and if one way does not help I can use another. I used to teach taekwondo and interacted with all kinds of students, and I'm excited to help out more!
I am a graduate of the University of Chicago where I received my Bachelor of Arts in Philosophy. Currently, I am in the master's program at the University of New Mexico where I am continuing my education in philosophy. Ultimately, I hope to go on to earn a PhD in Philosophy so that I can continue engaging in my passions for learning and teaching. While in school, I have spent countless hours coaching high school speech and debate both in person and working online with students across the country. My focus in coaching has been to emphasize philosophy and critical thought to prepare students to think through novel arguments on their own. I am passionate about teaching and tutoring because I love seeing students learn to be intellectually independent and think through problems on their own terms by developing their critical thinking skills. I have devoted my life to education because I am passionate about it, and I try to share some of my passion for learning with the students I work with. I tutor all sorts of Standardized Tests, and I particularly enjoy working on logic-based problems like analogies and math sections. When I am not tutoring or reading for school, I enjoy strategy games (both board games and video games), listening to music, hiking, playing basketball, and just relaxing with friends.
I am comfortable tutoring math subjects up to multivariable calculus and differential equations, as well as college physics.
I am currently a senior at Harvard College where I study chemistry, and I'll be attending Columbia Medical School next year. I have years of experience tutoring college students in math (mostly calculus) and chemistry including both general and organic chemistry. In addition, I am very familiar with all sections of the SAT and ACT having prepared several high school students for these tests. I believe that every student is capable of boosting his or her baseline score on these tests, so long as he or she works hard to get to know the format of the tests and the most popular types of questions. I tutor because I love seeing students develop a genuine passion for the subjects they once disliked (such as math and science), once they understand the power of these subjects and their applications to the real world.
I'm eager to help you in your education. I'm a recent graduate of Harvard College looking to apply to law school. My senior thesis was written on John Dewey's ideas of education, which I deeply believe has incredible power to transform individuals and society.
I am exploring my creativity by pursuing a double major in Asian Languages and Cultures with a focus in Korean, studying abroad in South Korea as a Benjamin A. Gilman Scholar, leading workshops that teach 3D printing and CAD for undergraduate students as the president of 3D4E, advocating for the first-generation and low-income student community as the Outreach Chair of the Quest+ Scholars Network, and getting involved with the Society of Women Engineers' outreach committee. I currently hold a work-study position as an administrative clerical aide in the Institute of Sustainability and Energy at Northwestern and was an undergraduate researcher in the John Rogers Lab. As I look forward with aspirations of applying to graduate school, areas of research in biomedical engineering and biotechnology that I am particularly interested in include biomaterials, pharmaceuticals, and drug delivery systems. Outside of the classroom, I enjoy learning on my own and sharing my experience and knowledge with my peers and other students. I hope to make use of my experiences with academics and learning in high school and so far in my undergraduate career in order to effectively tutor students who may be experiencing the same struggles in learning that I also experienced.
I'm a pre-health student at the University of Pennsylvania, and have an extensive background in the sciences. I can also rock the SATs and MCAT, so I've got that going for me. I love learning with students and trying to make the tedious work of learning as fun as possible. I think and teach in examples and make abstract concepts easily understandable. I also love sports, adventures, travelling!
I'm glad you've come to my page. I'm here as an experienced tutor and mentor who likes to listen to your specific needs and create an environment and plan ideal for your learning level and experience. Whether it's immediate assistance with an exam or long-term goals and improvement, I'm here to help!
I am specializing in the ACT. My tutoring approach, while covering test-taking techniques, will also emphasize the wisdom and skills needed to understand the root of the test questions. I hope that I can come alongside you to help and encourage you in your life pursuits.
I am a graduate of the University of Chicago, with a bachelor's degree in psychology and linguistics. Currently, I am pursuing a master's degree in speech-language pathology at Teachers College, Columbia University. In the past, I have worked as a teacher's aide in a public school classroom, a mentor to middle school girls, an instructor and tutor at the literacy education organization 826, and a summer camp counselor. I tutor a diverse range of subjects, and I find that I especially enjoy tutoring language arts, reading, and writing at all levels, from elementary school all the way up to college/grad school test prep. As a tutor, I am committed to helping students reach their full potential as learners. Throughout my years as an educator, I have seen firsthand the remarkable academic growth that can occur when tutors provide students with the individualized support that they need. In my spare time, I enjoy reading, journaling, and learning about other languages and cultures.
I am a recent graduate of Williams College, where I studied political science with sidelines in history and English. Next fall, I am headed to Ithaca to study at Cornell Law School. I have experience tutoring in all subjects for high school standardized tests and in writing and history at higher levels, and am excited to pass on the benefits of my study as a tutor for the LSAT. I look forward to working with you!
I am passionate about education, learning, teaching, and specifically literatures and languages. I have experience as an ESL teacher for young children and teens, as well as experience working as a Writing Consultant at my undergraduate institution. I also spent all four years of my undergraduate career volunteering as an SAT tutor for local high schoolers. Beyond this, I have experience both as a private and public Spanish tutor. I love to help students reach their educational and personal goals in any way that I can.
I am a doctoral candidate in Clinical Psychology at Duke University. My job requires excellent mathematics, analytic, and writing skills, which are also my favorite subjects to teach. I have experience teaching kids in elementary, middle, and high school, as well as college-aged students. My particular expertise is in managing attention and assisting with executive functioning (e.g., time management and planning).
I am a very motivated individual that will ensure all my students succeed in their studies. I have a great teaching style that is unique to each student that I work with, and I work hard to make sure my students not only master the material they need to learn, but also understand how to study and prepare on their own.
I am a Yale graduate with over 8 years experience tutoring students from a variety of backgrounds. I recently graduated from the Yale School of Public Health with a MPH concentrating in Epidemiology and Global Health. I also received my B.S. from Yale with a double major in Molecular, Cellular, and Developmental Biology and French. I have experience both leading group classes and working with students one on one. I will respond to a student's strengths, weaknesses, and learning style in order to help them succeed and make the most of our time together. I earned a perfect score of 36 on the ACT, 2280 on the SAT, and qualified as a National Merit Scholar on the PSAT. I look forward to working with you!
I am an undergraduate student at the University of Pennsylvania. I have been tutoring for over 6 years now, and I have found it to be an extremely rewarding and enjoyable experience. I specialize in mathematics, particularly at the high school level, and I also have experience tutoring other subjects. I also have done SAT prep for the mathematics section of the New SAT and am very familiar with the recent changes to the exam. My belief is that everyone is capable of learning with enough time, explanation, and practice, and I hope to pass this on to all the students I work with. For this reason, I believe in teaching students how to think and problem solve, rather than just having them memorize patterns or facts.
I'm a graduate of Princeton University (2009), with a degree in Comparative Literature. I'll be receiving my masters degree in English from Grand Valley State University this fall and I'm looking forward to working with students like you! I've been teaching and tutoring students since 2008 and I specialize in English, Reading, Writing, Essays, and College Entrance Test Prep.
I am flexible and adaptive to different learning styles. I welcome students and/or parents to set their own goals/expectations, and I tailor the curriculum to suit those goals.
I am a first year medical student at the Sidney Kimmel Medical College at Thomas Jefferson University. I have been a private tutor in the past in subjects such as math, biology, chemistry, and the SATs and every single one of my more than twenty students have shown significant improvement. Most importantly, I have a passion for teaching, and your needs and preferences as the learner will always be paramount. I hope to help every one of my students reach every bit of their potential, and along the way, to utterly shatter any self-induced limitations that have been placed upon what they can accomplish.
I am a second year law student at the University of Chicago who hails from the San Francisco Bay Area! I tutor the SAT, ESL, and Spanish. I was an AVID tutor in high school, and after college I taught an ESL class and tutored a high school student in Spanish. In law school, I am involved with the Lawyers in the Classroom program. My tutoring philosophy is based on listening to students work through problems and helping them to spot their confusions or incorrect assumptions. I believe students learn much better when they aren't simply told the right answer or right reasoning; they need to get there on their own.
I am an undergraduate student at the University of Chicago majoring in Classics and Theatre. However, my college uses the core curriculum and as a result, I've had a well-rounded, eclectic education covering everything from math to fine arts. I've won awards in community service, dance, and film, but most notably, 20 writing prizes before I reached eighteen. I was a National Merit Semi-Finalist in high school and I've had a passion for education and the art of learning since I was a child. I hope to instill in my students the love of amassing knowledge, excelling in your studies, and walking out of a test feeling like you rocked it. I especially had a passion for the Critical Reading and the Writing portions of the SAT's and the SAT 2 in Literature. I have teaching experience with everything from stand-up comedy to Emergency Medical Services to tap dancing, and I've been told that I am unmatched in my enthusiasm. In my free time, I like to perform sketch and improv comedy, dance, play the banjo, and volunteer in my local hospital.
Testimonials
Because the right Modern Algebra tutor makes all the difference.
Average Session Rating – Based on 3.4M Learner Ratings
Top 20 Math Subjects
Top 20 Subjects
Frequently Asked Questions
Modern Algebra shifts focus from solving equations to understanding the deeper structures and patterns that govern mathematical systems—like groups, rings, and fields. Students often struggle because it requires conceptual thinking rather than just procedural steps. Instead of asking "How do I solve this?", you're asking "Why does this work?" and "What properties make this system behave this way?"
This transition can be challenging because students need to think more abstractly and prove why things work, not just show that they do. A tutor can help bridge this gap by connecting abstract concepts to concrete examples and building your intuition before diving into formal proofs.
Proof writing is a skill that develops through guided practice and feedback. The key is understanding not just what to prove, but why certain approaches work and others don't. Many students initially struggle because they confuse "showing an example" with "proving something is always true."
Working with a tutor on proof techniques helps you learn to recognize problem patterns, choose appropriate proof strategies (direct proof, proof by contradiction, induction), and present your reasoning clearly. Over time, you'll build a toolkit of proof techniques and develop the logical thinking needed to construct solid arguments.
Abstract structures like groups, rings, and fields become much clearer when you see them through multiple lenses—starting with familiar examples (like integer addition or symmetries of shapes) before generalizing to abstract definitions. This concrete-to-abstract progression helps you build intuition before tackling formal axioms and theorems.
A tutor can guide you through key examples, show why certain properties matter, and help you recognize these structures in different contexts. When you understand that a group's axioms guarantee specific behaviors, studying Modern Algebra shifts from memorizing definitions to seeing elegant patterns across mathematics.
In Modern Algebra, showing work isn't just about getting credit—it demonstrates that you understand why each step follows from previous ones and from the axioms or theorems you're using. Your reasoning is the entire point. Incomplete or skipped steps can hide gaps in understanding that need to be addressed.
The right level of detail depends on your audience and context, but generally you should justify each logical step, cite theorems or properties you're using, and make your thought process transparent. A tutor can help you develop clear, convincing mathematical writing and teach you when you have enough justification versus when you need to explain further.
Modern Algebra topics—groups, rings, fields, and homomorphisms—are deeply interconnected, but these connections aren't always obvious when you're first learning them. Students often see each topic as separate until they step back and notice recurring patterns: how group axioms mirror ring axioms with differences, or how homomorphisms reveal structural similarities between different systems.
A tutor helps you build these mental bridges by asking guiding questions that highlight patterns, exploring how concepts in one area illuminate another, and showing you how theorems in different chapters often rely on the same underlying ideas. When you see these connections, Modern Algebra transforms from a collection of abstract topics into a coherent framework.
Effective preparation goes beyond reviewing notes and redoing practice problems. You need to build conceptual understanding by working through problems you've never seen before, articulating why theorems matter, and practicing proof-writing under realistic conditions. This mirrors what happens on an exam: you need to apply concepts flexibly, not just reproduce familiar solutions.
A tutor can help you identify gaps in understanding before the exam, work through challenging problem types, review proof strategies, and build confidence in your ability to tackle novel problems. Practice testing with feedback is especially valuable—it shows you where your understanding is solid and where you need to deepen your thinking.
The best Modern Algebra tutors combine deep subject knowledge with the ability to explain abstract concepts clearly and patiently. They should be comfortable with proofs, understand common student misconceptions, and know how to build intuition before diving into formalism. They also recognize that everyone's learning pace is different and adjust their explanations accordingly.
Look for someone who asks good questions (rather than just providing answers), can connect abstract theory to concrete examples, and helps you develop problem-solving strategies rather than just solving problems for you. Varsity Tutors connects you with expert tutors who understand Modern Algebra deeply and know how to make it accessible.
Let’s find your perfect tutor
Answer a few quick questions. We’ll recommend the right plan and match you with a top 5% tutor.


