Award-Winning Convex geometry
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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'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 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 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 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'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 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 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'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 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 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 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 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 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 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 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 am comfortable tutoring math subjects up to multivariable calculus and differential equations, as well as college physics.
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 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 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 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 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 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'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 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 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 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'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 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 am a 2015 graduate of Northwestern University, with an undergraduate journalism major/Spanish minor and a graduate degree in journalism. During my time at NU, I spent a semester at Madrid's top-ranked university, taking upper-level history and literature courses with Spanish students. I now work at a trade magazine in Midtown covering real estate.
I am a recent magna cum laude graduate of Duke University and a full-time educator in North Carolina. I have a passion for helping young people figure things out and have experience writing professionally.
I'm Ellie, and I am a junior at Yale University studying Biomedical Engineering (pre-med)! I have always considered myself a life-long student, and I strive to make learning exciting and empowering for everyone. On campus, I work as a graphic designer for the Center for Disease Control and Prevention (CDC), volunteer EMT, am the Arts Editor for the Yale Scientific Magazine, am the Layout Editor for the Yale Globalist Magazine, conduct autism research in the School of Medicine, and tutor a Differential Equations course to small groups of students weekly. Aside from my passion for science and math, I enjoy writing essays in my literature classes, designing in Photoshop, Illustrator, InDesign, and more and also have much experience writing application essays for colleges and jobs!
I am a Yale University graduate with over seven years of tutoring experience with children and adults of all ages, specializing in writing, reading, English, college prep, and working with differently-abled learners. As a writer and entrepreneur, I have tutored since high school because it is something I truly enjoy. I approach tutoring with patience, and with finding a motivation to learn and excel that is specific to each student. With young adults and older learners, I approach each skill with purpose in reaching their individual goals and dreams, and with younger learners it is all personalize-practice-reward, working with parents and mentors to understand their needs and facilitate their individual learning and success. I'd love to hear from you and discuss how we can make the most out of our time together!
I am a licensed attorney in Illinois who primarily represents children in guardianship disputes as the Guardian ad Litem as well as low-income clients in a myriad of housing and family law related cases. I graduated from Northwestern University with a BA in Philosophy in 2009. In May of 2014, I received my JD from Loyola University Chicago School of Law. I tutor Reading, Writing, History, Public Speaking, Standardized Test Prep, and am available to help with the college application process. Prior to law school, I assisted in the developing of curriculum for a homework help program at a community center in Chicago. I have always been passionate about how to best share and communicate ideas, whether written or spoken. My method for tutoring involves sharing this passion with students to better help them hone and express their own opinions.
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 writing requirement at the University prior to matriculating, I was the first freshman tutor to be accepted into this selective program. The tutoring program involved a preliminary peer-tutor training course prior to beginning tutoring, in order to certify that I had the appropriate background to provide professional feedback to fellow students on their literary works and projects. After graduation, I worked for a full-service learning center where I created and implemented high school lesson plans for home-schooled students, provided academic support for students ranging in ages from 8 to 20 years old, and taught group and individual standardized testing preparation classes. I have also assisted students with application essays for various undergraduate and graduate programs.
I am a recent Bachelor of Science from Cornell University, where my studies revolved around applying life science research to health and social studies. I have served as an undergraduate teaching assistant for several courses, and specializes in 1-on-1 tutoring for introductory biochemistry. Biochemistry is my favorite because of how many other disciplines it synthesizes. After achieving a 38 on the MCAT (99.1%), I began mentoring students on test preparation strategies.
I am a rising fourth-year medical student at Perelman SOM at the University of Pennsylvania currently taking time off from school. I am a Yale 2014 graduate (B.S. in Molecular Biophysics & Biochemistry). I spent my gap year doing wet lab research in a biochemistry lab at the main NIH campus in Bethesda, Maryland, My parents are both university math professors with a natural gift for teaching that I believe they passed on to me. I hope to apply for residency in Internal Medicine or Psychiatry and down the line in my career to teach medical students while practicing in and academic or private-practice setting. I specialize in MCAT testing but am hoping to tutor for the SAT as well, and possibly AP exams. In my free time I enjoy rock climbing, running, working out, playing video games, and dabbling in random hobbies (most recently crochet!).
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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