Award-Winning Convex geometry
Tutors
Award-Winning
Convex geometry
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.
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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 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'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 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 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 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.
Testimonials
Because the right Convex geometry tutor makes all the difference.
Average Session Rating – Based on 3.4M Learner Ratings
Top 20 Math Subjects
Top 20 Subjects
Frequently Asked Questions
Students typically struggle most with visualizing higher-dimensional convex sets and translating between algebraic and geometric representations. Common pain points include understanding the relationship between vertices, edges, and faces in polytopes, working with convex hulls and their properties, and proving convexity using linear combinations and half-space intersections. Many students also find it difficult to grasp why certain optimization problems are easier to solve when constraints form convex regions, and how to recognize when a feasible region is convex versus non-convex.
A tutor can break down convex geometry proofs by first establishing the foundational definitions—like showing why a set is convex if every line segment between two points stays within the set. They help you recognize proof patterns, such as using linear combinations to verify convexity or applying the separating hyperplane theorem strategically. Tutors also teach you to sketch examples in 2D or 3D before tackling abstract n-dimensional cases, which builds intuition for why certain theorems hold and makes the logical steps feel less arbitrary.
Visualization is critical in convex geometry because geometric intuition often reveals why theorems are true and how to apply them correctly. Many students can memorize definitions but struggle to picture what a convex polytope or a cone actually looks like in higher dimensions. Tutors help by starting with concrete 2D and 3D examples, using sketches and diagrams to show how vertices connect, how constraints create feasible regions, and how the geometry changes as you modify parameters. This visual foundation makes abstract proofs and optimization problems much more accessible.
This connection is one of the biggest conceptual leaps in convex geometry—moving between inequalities like Ax ≤ b and the actual geometric shape they define. A tutor can help you see that each linear inequality represents a half-space, and their intersection forms a convex polytope. They teach you to recognize patterns: a system of inequalities that has a solution means the feasible region is non-empty, and the vertices of that region are where constraints become active. By working through examples where you write inequalities from a sketch and then verify the geometry algebraically, you develop fluency in both directions.
Convex geometry is fundamental to optimization because convex problems have unique global minima and can be solved efficiently, while non-convex problems may have multiple local minima. A tutor helps you understand why a linear objective function over a convex polytope is optimized at a vertex, and how to recognize when a constraint set is convex (making the problem tractable). They also show you how to verify convexity of objective functions using second derivatives or the definition, and why this matters for choosing the right algorithm. This connection transforms convex geometry from abstract theory into a practical tool for solving real-world problems.
Moving beyond 3D is challenging because you can't draw it, but a tutor teaches you to reason algebraically while grounding concepts in lower dimensions. For example, understanding that a hyperplane in n dimensions is defined by a single linear equation (just like a plane in 3D or a line in 2D) helps you generalize the concept. Tutors also help you use analogies—a 4D hypercube relates to a 3D cube the way a cube relates to a square—and practice working with explicit examples in 4D or 5D using coordinates. By consistently translating between dimension-specific intuition and general algebraic definitions, you develop the mental flexibility to work confidently in any dimension.
In convex geometry, showing work means clearly stating which definitions or theorems you're using, not just the final answer. For example, when verifying that a set is convex, write out the definition (for any two points in the set, their convex combination is also in the set), then explicitly show the algebraic steps. When solving optimization problems, state your constraints, explain why the feasible region is convex, identify the vertices, and show how you evaluated the objective function at each one. A tutor can help you develop this habit by reviewing your solutions and pointing out where your reasoning jumps are, so you build a clear, logical presentation that demonstrates genuine understanding.
An effective convex geometry tutor should have strong foundational knowledge in linear algebra, multivariable calculus, and real analysis, since these underpin the subject. They need hands-on experience with convex optimization, polytopes, and geometric reasoning—ideally from coursework, research, or applied work in operations research, machine learning, or mathematics. Beyond subject expertise, they should be able to explain abstract concepts clearly, sketch diagrams effectively, and recognize where students are getting stuck conceptually versus procedurally. Varsity Tutors connects you with tutors who combine deep subject knowledge with the ability to build your geometric intuition from the ground up.
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