Award-Winning Algebraic Geometry Tutors

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Award-Winning Algebraic Geometry Tutors

Blue

Certified Tutor

2+ years

Blue

Bachelor's
Blue's other Tutor Subjects
6th-12th Grade Geometry
6th-8th Grade Algebra
1st-12th Grade math
6th-12th Grade Calculus

I'm a certified tutor with three years of experience in math and science. I tailor lessons to each student's learning style, making difficult concepts easy to understand. My goal is to build confidence and help students achieve lasting academic success.

Education

Marywood University

Bachelor's

Pearly

Certified Tutor

2+ years

Pearly

Bachelor's (in progress)
Pearly's other Tutor Subjects
6th-12th Grade Geometry
6th-12th Grade Biology
9th-12th Grade AP Biology
Pre-Algebra

I am currently a pre-med student majoring in biology, and I am also preparing for the MCAT, which has given me the opportunity to review biology at a very advanced and detailed level. My coursework has provided me with a strong foundation in topics such as cell biology, genetics, physiology, and evo...

Education

Nova Southeastern University

Bachelor's (in progress)

Jessica

Certified Tutor

Jessica

PHD, Medicine
Jessica's other Tutor Subjects
College Algebra
Calculus
Algebra
Honors Chemistry

I am a licensed physician from Florida who is currently changing careers. I graduated from the University of Pennsylvania in 2009 and have extensive tutoring and editing experience. While a student, I became a certified writing tutor through the Critical Writing Department. Since I completed my writ...

Education

Nova Southeastern University

PHD, Medicine

University of Pennsylvania

Bachelors, History

University of Pennsylvania

undergraduate

Test Scores
SAT
1540
Jai

Certified Tutor

9+ years

Jai

Bachelors in Electrical Engineering and Computer Science
Jai's other Tutor Subjects
Calculus
Algebra
Electrical Engineering
ACT Writing

I'm a recent Stanford graduate (Electrical Engineering and Computer Science), and have been working at a major Management Consulting firm for a few years now. I personally scored a 2360 (out of 2400) on the SAT and 35 on the ACT and was successful in gaining admission to several top universities. I'...

Education

Stanford University

Bachelors in Electrical Engineering and Computer Science

Test Scores
SAT
1590
ACT
35
Kate

Certified Tutor

Kate

Masters, Environmental Engineering
Kate's other Tutor Subjects
AP Calculus BC
AP Calculus AB
College Algebra
Pre-Calculus

I'm available to tutor biology, chemistry, physics, math from Algebra up through AP Calculus, SAT test prep, and French. I've been tutoring students in science and math for 7 years. I also spent 8 months working and studying in France, and have tutored high school and adult students in French. When ...

Education

Massachusetts Institute of Technology

Masters, Environmental Engineering

Massachusetts Institute of Technology

Bachelors

Test Scores
SAT
1580
Jeffrey

Certified Tutor

6+ years

Jeffrey

Doctor of Philosophy, Mechanical Engineering
Jeffrey's other Tutor Subjects
Pre-Calculus
Geometry
Calculus
Algebra

I am enrolled in the Mechanical Engineering PhD program at Rice University which will begin Fall 2020, and I am hoping to return to academia as a professor after earning my PhD. In the meantime, I am looking to share my passion for gaining knowledge, specifically in STEM, by educating the up and com...

Education

University of Notre Dame

Bachelor of Science

Rice University

Doctor of Philosophy, Mechanical Engineering

Test Scores
ACT
34
Erika

Certified Tutor

Erika

Master of Public Policy, Public Policy
Erika's other Tutor Subjects
Pre-Algebra
Middle School Math
Calculus
Algebra

I am available to tutor middle and high school math, history and test prep. I have tutored math and history in the past and I previously taught a test prep course at a school in Hanoi, Vietnam. I have a lot of experience teaching all the need-to-know tricks to doing great on the SATS/ACTS! When I am...

Education

Harvard University

Master of Public Policy, Public Policy

Test Scores
ACT
32
Rhea

Certified Tutor

6+ years

Rhea

Bachelor of Science, Biology, General
Rhea's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I am a current student at the University of Chicago. I am working towards a Bachelor of Science in Biological Sciences, and I am on the pre-medical track. I am extremely passionate about tutoring, and I have several years of experience tutoring students in my high school's learning center in various...

Education

University of Chicago

Bachelor of Science, Biology, General

Test Scores
Perfect Score
SAT
1550
ACT
36
Charles

Certified Tutor

Charles

Bachelor of Science, Mechanical Engineering
Charles's other Tutor Subjects
AP Calculus AB
Pre-Algebra
Algebra 3/4
Trigonometry

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 descr...

Education

Yale University

Bachelor of Science, Mechanical Engineering

Test Scores
SAT
1440
ACT
34
Samantha

Certified Tutor

10+ years

Samantha

Current Grad Student, MD
Samantha's other Tutor Subjects
Pre-Algebra
College Algebra
Algebra 3/4
Geometry

I'm a first-year medical student and recent graduate from Duke University, where I studied Global Health Determinants, Behaviors, and Interventions. From running a piano program at a nonprofit children's theatre to private tutoring in math, science, and standardized test prep, I enjoy helping my stu...

Education

Duke University

Bachelors in Global Health Determinants, Behaviors, and Interventions

Harvard Medical School

Current Grad Student, MD

Test Scores
Perfect Score
SAT
1600
ACT
36

Meet Our Expert Tutors

Connect with highly-rated educators ready to help you succeed.

Matthew

Pre-Algebra Tutor • +39 Subjects

I'm a highly creative person who works best with visual thinkers. Very recently graduated from Stanford University, I majored in Human Biology with a concentration in Bioinformatics and Stem Cell Science. Technical though my background may be, I am currently gigging as a singer/songwriter/composer in NYC and tackle even the most hard-science of problems with a top-down, big-picture, holistic approach. If you have a propensity to look at problems in a cross- or inter-disciplinary manner (or want to learn how to do so), I'm the tutor for you!

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Sami

Pre-Algebra Tutor • +19 Subjects

I am a Duke University graduate in Economics and Computer Science. I am currently pursuing an MBA degree at the Yale School of Management. I have worked in the financial field, both at a management consulting firm and a fortune 500 company. My hobbies include playing and coaching soccer. Hobbies: reading, writing, art, books, music

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MaryAnn

Calculus Tutor • +21 Subjects

I am a published author who has enjoyed “coaching” our daughter, as she navigated through high school, college and graduate school. I mentor college juniors who are seeking careers in financial services, and I serve as a peer resource to professionals who are transitioning from private industry to the nonprofit sector. Hobbies: reading, cooking, writing, books, music, art, travel

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Zachary

Trigonometry Tutor • +35 Subjects

I am passionate about teaching and tutoring and I thoroughly enjoy helping students gain an understanding and a drive for their studies. I have a long history of working with students of all grade levels and abilities (elementary school through college), and I have a good understanding of strategies to excel in both general academics and standardized tests.

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Tony

Calculus Tutor • +28 Subjects

I am a recent graduate of Yale University and incoming first year medical student at Columbia University. Originally from the DC area, I have always had a passion for science and medicine and pursued a degree in Biology while at Yale. During the 2008-2009 academic year, I tutored science, math, English, history, and Mandarin Chinese part-time with a DC-based tutoring company. At Yale, I worked as a freshman counselor to provide academic and career advice to incoming freshmen. I have taken both SAT and MCAT test prep classes and am familiar with both tests as well as the preparation necessary to score well. My personal career goals include attending medical school to pursue either immunology/infectious diseases or psych/neurology, teaching biology at the university level, and working in public/global health with either the CDC or the WHO.

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Samuel

AP Calculus AB Tutor • +29 Subjects

I am a freshman at Caltech majoring in Applied and Computational Mathematics. My favorite subject to tutor is math because I find it very rewarding to simplify complex topics to aid in understanding. I have lots of tutoring experience. In high school, I ran and taught an SAT prep class and was vice president of my school's NHS chapter where I ran our tutoring program, and I, myself, tutored. I also was a teaching assistant in the summer of 2020 for a class in discrete mathematics through a program called PACT (Program in Algorithmic and Combinatorial Thinking). I love learning and hope to make the process enjoyable for you!

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Annie

Pre-Algebra Tutor • +28 Subjects

I am currently a second year medical student. I was a Physiological Sciences major at UCLA (class of 2015), and pursued research during my gap year between undergrad and medical school.

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Sharon

Pre-Algebra Tutor • +29 Subjects

I am a graduate of the University of Chicago, and I will be starting a graduate program at Columbia in August. I am about to complete a year of service with City Year, an education non-profit that places young adults into under-served schools. As a City Year member, I worked full-time in the classroom with middle-school students who were in approximately the 10th percentile for math (meaning they score lower than 90% of students). One-fourth of those students were able to grow around 15 percentile points by the end of the year! Hobbies: reading, cooking, gardening, music, art, nature, books, writing

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Quinn

Calculus Tutor • +17 Subjects

I am willing to address any issue with an open mind and I try to develop strategies that play to a student's strengths. I would like to think I am very approachable and personable, and I have had very positive experiences with many students in the past using this philosophy. Outside of academics, I love playing basketball and watching sports, as well as chilling with friends, listening to music, and keeping up with politics and current affairs.

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Tiffany

Pre-Algebra Tutor • +56 Subjects

I am available to tutor a broad range of subjects, I am passionate about test preparation, Accountancy, and Algebra.

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Frequently Asked Questions

Students often find the transition from concrete algebra to abstract geometric thinking difficult, particularly when learning about varieties and their defining equations. Mastering affine and projective varieties, understanding the relationship between ideals and geometric objects, and working with dimension theory tend to be major stumbling blocks. Additionally, many students struggle with the computational aspects—calculating Gröbner bases, performing elimination theory, and interpreting geometric meaning from algebraic results—because these require both strong algebraic manipulation skills and geometric intuition simultaneously.

A tutor can help you visualize how polynomial equations define geometric shapes and vice versa, making the Nullstellensatz and other fundamental theorems feel concrete rather than abstract. They can guide you through specific examples—like seeing how a single polynomial equation defines a curve, or how a system of equations defines their intersection—and help you recognize patterns that connect algebraic properties (like irreducibility) to geometric ones (like irreducibility of varieties). This bridges the gap between procedural equation-solving and the deeper conceptual understanding that Algebraic Geometry requires.

Tutors help you build proof-writing skills by breaking down complex arguments into manageable steps and showing you how to connect algebraic definitions to geometric conclusions. They focus on helping you understand *why* a proof works—not just memorizing steps—by working through concrete examples first, then generalizing. A strong tutor will also help you recognize common proof techniques used in Algebraic Geometry, like using properties of ideals to establish geometric facts, or leveraging dimension arguments to prove existence or uniqueness results.

You'll need solid proficiency with polynomial arithmetic, solving systems of equations, and understanding how to manipulate ideals algebraically. Many courses also require familiarity with computer algebra systems like Macaulay2 or CoCoA, or at least understanding how Gröbner bases work conceptually and computationally. A tutor can help you develop these computational skills while connecting them to the geometric meaning—so you're not just computing Gröbner bases mechanically, but understanding what they reveal about the underlying varieties.

In Algebraic Geometry, showing your work is critical because the reasoning matters as much as the final answer. You need to justify why certain algebraic manipulations preserve geometric properties, explain how you're using theorems like the Hilbert Basis Theorem or Nullstellensatz, and document your computational steps clearly. A tutor can help you develop the habit of explaining your geometric intuition alongside your algebra, which strengthens both your understanding and your ability to communicate sophisticated mathematical ideas.

Yes—some courses emphasize classical approaches focusing on varieties and dimension theory, while others take a more modern scheme-theoretic perspective. Some texts prioritize computational techniques and examples, while others are more abstract and theoretical. A tutor familiar with your specific textbook and course approach can help you navigate these differences, translate between different notations and frameworks, and connect what you're learning to the broader landscape of Algebraic Geometry. This is especially valuable if you're finding your course material particularly abstract or notation-heavy.

Tutoring helps you see recurring patterns—like how the structure of an ideal reflects properties of its variety, or how dimension and codimension relate to geometric intuition—by working through carefully chosen examples that highlight these connections. A tutor can help you build geometric intuition by encouraging you to sketch varieties, work with low-dimensional cases before generalizing, and recognize when similar algebraic structures produce similar geometric behavior. Over time, this pattern recognition transforms Algebraic Geometry from a collection of definitions and theorems into an interconnected framework where results feel natural rather than arbitrary.

Look for tutors with strong backgrounds in both abstract algebra (particularly ring theory and ideals) and geometry, ideally with graduate-level coursework or research experience in Algebraic Geometry. They should be comfortable with both classical and modern perspectives, able to work with computational tools, and most importantly, skilled at translating between algebraic and geometric language. A good tutor will also have experience teaching at the level you're studying—whether that's an introductory course or advanced graduate material—and can explain why certain results matter and how they connect to broader mathematics.

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