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Lauryn

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9+ years

Lauryn

Bachelor in Arts, Playwriting and Screenwriting
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Art
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Creative Writing

My name is Lauryn, I am a college graduate with a BFA in cinema and Television. I was a double major in screenwriting and producing with a minor in directing. I have been a professional filmmaker and writer for over a decade with extensive experience and knowledge. I focus primarily in nonfiction st...

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Columbia College Hollywood

Bachelor in Arts, Playwriting and Screenwriting

Austin

Certified Tutor

4+ years

Austin

Bachelor of Science, Biology, General
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Algebra
Math
Middle School Math
Pre-Algebra

Hello! My name is Austin! I am a Certified Veterinary Technician who works in companion animal practice. I am also an overnight technician in the equine department at the OSU veterinary teaching hospital. I have both an associates and bachelors degree in Veterinary Technology, but am also currently ...

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Oregon State University

Bachelor of Science, Biology, General

Ethan

Certified Tutor

4+ years

Ethan

Bachelor in Arts, German
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Conversational German
German
German 1
German 2

I am a graduate of the Ohio State University where I received a Bachelors of Arts with a major in German. I have been studying German since I was 13 years old. I have also spent many months in Germany studying at the Goethe Institut Dresden and traveling all around the country. Foreign languages and...

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The Ohio State University

Bachelor in Arts, German

Dana

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Dana

Master of Science, Economics
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I am a PhD student at Stony Brook University in economics. I have Master degrees in economics and analytics from Georgia Tech and a BS in economics from Georgia Tech.Before coming to Stony Brook, I worked 2 years at the Department of Agriculture where I consistently used statistical and programming ...

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Georgia Institute of Technology-Main Campus

Master of Science, Economics

Georgia Institute of Technology-Main Campus

Bachelor of Science, Economics

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1560
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34
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326
Ana

Certified Tutor

5+ years

Ana

Civil Engineer, Civil Engineering
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Algebra
College Algebra
Engineering
Geometry

I love math almost as much as I love music and I will love to help you on your educational endeavors ahead!I am a Valencia graduate and am in my final year at The University of Central Florida majoring in Civil Engineering while pursuing a double major in Construction Engineering... GO KNIGHTS. Duri...

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University of Central Florida

Civil Engineer, Civil Engineering

Ashanti

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Ashanti

Bachelor of Science, Exercise Science
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American Literature
College English
Elementary School English
Elementary School Math

Hard working, dedicated graduate who's ready and willing to share her knowledge. I earned a Bachelors Degree in Exercise Science from Columbus State University. Since then, and before then, I have worked with students from the age of newborns to pre-k. I have been a substitute teacher for the past y...

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Columbus State University

Bachelor of Science, Exercise Science

Mark

Certified Tutor

4+ years

Mark

Bachelor of Theological Studies, Chemistry
Mark's other Tutor Subjects
Analytical Chemistry
Anthropology
AP Chemistry
AP Physics 2

In May 2020, I earned a bachelor of science in chemistry with honors along with a dual minor in animal ecology and anthropology at Iowa State University. With a strong work ethic and extreme dedication, I was accepted into the PhD program in chemistry at the University of Washington in Seattle where...

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Iowa State University

Bachelor of Theological Studies, Chemistry

Annie

Certified Tutor

9+ years

Annie

Bachelors, Kinesiology
Annie's other Tutor Subjects
1st-5th Grade Math
Algebra
Pre-Algebra
Q & A

I have received my Bachelor of Science in Kinesiology with a minor in Psychology from the University of Houston. I will be attending TWU's master program in occupational therapy starting in the fall of 2016. Math has been and will always be my strongest subject. I love math, and I am willing to spen...

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University of Houston

Bachelors, Kinesiology

Michelle

Certified Tutor

6+ years

Michelle

Masters, American Studies
Michelle's other Tutor Subjects
Adult Literacy
American Literature
AP English Language and Composition
College Application Essays

I am a recent graduate of Columbia University's American Studies MA program. I received my undergraduate degree at NYU in Journalism and Africana Studies. I have over 2 years experience helping students in NYC. I love reading, writing, and social and cultural analysis.

Education

Columbia University in the City of New York

Masters, American Studies

New York University

Bachelors, Journalism and Africana Studies

Test Scores
SAT
1380
GRE
311
Daniel

Certified Tutor

6+ years

Daniel

Bachelor of Science, Computer Science
Daniel's other Tutor Subjects
ACT Math
ACT Science
ACT Writing
Algebra

I am here to make your education less difficult. I enjolly helping people and showing them some of the neat tricks and knowledge I learned to ace subjects. I will be a sophomore at Texas A&M University in Fall 2020, pursuing a Bachelors of Science in Computer Science. I am very passionate about math...

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Texas A M University-College Station

Bachelor of Science, Computer Science

Test Scores
ACT
32

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Taylor

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I am currently serving as the head golf coach for Nolan Catholic High School in Fort Worth, Texas. I received my Bachelor of Science degree in Political Science from the University of Houston in May 2014. I also obtained minors in Economics and Philosophy. I am currently working on an MBA in Finance at the University of North Texas.I have served in many accounting roles and served in campus leadership roles all through campus. I have a passion for teaching and receive great enjoyment from others succeeding academically and professionally. I have a wide array of experience and interests that allow me to help nearly every student.I can tutor math subjects, economics, accounting, reading, and writing. I really enjoy reading papers, surprisingly I know! I can give you all kind of grammatical suggestions along with organizing your thoughts. Remember: A boring paper to write is a boring paper to read, so have fun with the material and I will help all along the way.

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Chris

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In addition to being guided and influenced in a highly educational environment by my father, who taught for 40 years before he became a university dean, I have had the opportunity to teach for over seven years where I have led classes as large as 30 students and taught ages 5 through 10.My experiences tutoring university students and coaching vocal techniques varied from early teenagers to college students in their mid to late 20s.I have been instrumental in devising effective, fun and instructional lesson plans by using Montessori's hands-on methodology, aiming to target individual learning gaps and improving test scores. My greatest strengths include positively motivating students, by using stimulating and learning activities to keep them interested and focused.Having also been an event coordinator and music director in the event industry for 15 years, as well as being the touring lead singer of my own band around the Middle East and North Africa, I have mastered micro coordinating skills off and on stage, to ensure an omnipresent and multitasking delivery varying from small and very large crowds from different age groups.

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Margarita

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I received my Bachelor of Arts in Biochemistry and Russian Literature from Columbia University in May 2014, and I plan on beginning medical school in the fall of 2015. Since graduation, I have been working part-time in a dermatologist office as a Medical Assistant and part-time on a public health project related to smoking cessation. I have also been tutoring students in a variety of subjects. I have been tutoring students since I was in 7th grade, and my favorite subject to tutor is math. My family is originally from Russia, and I grew up with a very strong and traditional math background. I always find teaching math to students to be gratifying, and I hope to share some of my love for math with my students. I also enjoy tutoring test prep, especially since I know how stressful the process of applying to colleges (and later graduate schools) is! With every student, I aim to find an individualized approach that makes our time together productive, helpful, and enjoyable. In my spare time, I enjoy reading, making ceramics, playing badminton, and hiking.

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I am a graduate from the University of Georgia where I received a Bachelor of Arts in Cognitive Science with a focus on Artificial Intelligence/Computing and Psychology. Throughout College and even in high school, I loved helping my peers and those around me achieve and found myself in many situations where I helped friends in one-on-one or group study sessions as well as joining a plethora of groups and associations that would connect me to students who needed a little extra help. My path in college allowed me to explore many different subjects in a variety of fields, but I find myself most passionate about Life Sciences, all levels of Math, Software Development in Java, Psychology, and Philosophy. I also enjoy aiding in the studying for Standardized Testing as I have always enjoyed the process of test taking and have acquired many skills and tips that could help anyone become a more skilled test taker. I believe education to be a cornerstone in becoming a fulfilled person in life, and this belief is what encourages and motivates me to help others further excel, prosper, and achieve all their goals in life. I believe everyone has the aptitude for learning anything they want, and I want to bring this talent out of all of my students to show them what has been hiding within all along.

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I am a writer living in Brooklyn. I grew up in a suburb of Washington, D.C., and attended Oberlin College in Oberlin, OH, where I majored in history. In college I acted as an editor for the Oberlin Review and as research assistant to an English professor. I spent one semester abroad at Trinity College in Dublin, and another semester at the Williams-Mystic maritime studies program in Mystic, Connecticut. It was an eclectic undergraduate experience that left me interested in many different things and wanting to learn much more. I'm working on that.My main interests are literature, film, and travel. I love getting to know people, their stories and memories, what excites them, what they care about. I think each of us has a lot to learn and we have to help each other along.

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I was a Math Teacher in New York City for 7 years. I have worked with students of various abilities and backgrounds and take the most pride in reaching those students whom others had written off. No matter what level of math you are at or what your past experience with math has been, I will help you both understand the concepts and see their relevance to your everyday life.

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Algebra Tutor • +23 Subjects

The thing that makes me a great tutor is the fact that I don't give direct answers. I work with the student and what they know, and we build on that knowledge to answer his or her question. This way of tutoring helps him or her to become more self-sufficient and capable of doing these problems and reasoning the problems out for himself or herself in the future.

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College English Tutor • +8 Subjects

I have a Bachelor of Fine Arts degree from Wheaton College, MA in Creative Writing and German studies. I worked in the Access student services department at Wallace Library at Wheaton. I recently graduated from Chatham University, PA, with an MFA in Creative Writing and a concentration in Pedagogy. I was a Graduate Writing Mentor at the JKM Library's writing center at Chatham. I tutor and teach College English and Creative Writing and Graduate English and Creative Writing. I am passionate about English because I am a fiction writer and enjoy helping students overcome writing challenges. My absolute pleasure is helping students overcome their fears and develop new writing skills.

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Justin

ACT Math Tutor • +18 Subjects

I am currently pursuing a degree in Human Biology on a pre-dental path at the University of Toronto. Starting in high school, I began teaching when I became a swim instructor during sophomore year and discovered that I love teaching students. I enjoy seeing my students improve and achieve new goals as I work with them. Moving away from the swimming environment, I started to tutor students for math and science. I quickly realized that I enjoyed teaching in this environment as well, particularly because I enjoy math and science and their relevance to my everyday life. This projected my teaching philosophy by giving students connections to their studies. I believe these connections are the best way to improve your attitude towards learning and understanding of any subject area.In my spare time, I enjoy swimming, playing basketball, and producing music.

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I am a graduate of Arkansas State University. I received my Bachelor's in Early Childhood Education. Since graduation, I have taught many children of different ages, started at 3yrs-9yrs old. I am certified in Teaching English as a Foreign Language. I have taught in a school setting for 5 years. Even though I have taught and tutored English, Reading, Writing, and Math, I have a strong background with teaching First grade math. I taught for 3 years specifically. I love to see scholars learn and build self-esteem within themselves. I enjoy making learning fun through games and songs. I believe education is for all and it's the best tool to have in life. In my spare time, I enjoy movies, music, art, and cooking. I enjoy the transformation process, seeing the growth throughout what I enjoy and I apply it to myself and scholars. You learn something new everyday, let me help.

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Frequently Asked Questions

Noncommutative geometry is an advanced mathematical framework that generalizes classical geometry by allowing coordinates that don't commute—meaning the order in which you multiply them matters. Rather than working with traditional geometric spaces, noncommutative geometry uses algebraic structures called C*-algebras and operator algebras to describe physical and mathematical phenomena.

Understanding noncommutative geometry is valuable because it underlies modern theoretical physics (quantum mechanics and quantum field theory), provides tools for studying curved spaces at quantum scales, and has applications in string theory and condensed matter physics. It bridges algebra, geometry, and analysis in powerful ways that reveal deep connections between seemingly different mathematical areas.

Noncommutative geometry is typically a graduate-level or advanced undergraduate topic in mathematics, physics, or mathematical physics programs. Most students approach it after completing foundational coursework in linear algebra, abstract algebra, functional analysis, and topology.

Prerequisites usually include comfort with groups, rings, and fields; inner product spaces and operator theory; and the ability to think abstractly about algebraic structures. Some programs introduce spectral theory and Hilbert spaces before diving into noncommutative geometry. A tutor can help you assess whether you're ready and identify any foundational gaps.

Students often struggle with the abstract nature of the material—moving from concrete geometric intuition to purely algebraic reasoning requires a significant conceptual shift. The heavy reliance on functional analysis and operator theory means gaps in these prerequisites can create serious obstacles. Additionally, noncommutative geometry involves unfamiliar notation and concepts like spectral triples, Dirac operators, and noncommutative spaces that lack intuitive geometric analogues.

Another challenge is connecting the abstract theory to concrete applications in physics or other areas—students sometimes see the material as purely formal without understanding why these structures matter. A tutor can help you build geometric intuition for noncommutative ideas, fill prerequisite gaps, and work through the foundational theorems that make the subject click.

In classical commutative geometry, coordinates commute (ab = ba), which allows you to use the language of traditional geometric spaces. Noncommutative geometry replaces this assumption with operators or elements in an algebra where order matters (ab ≠ ba). This seemingly small change enables you to describe quantum phenomena and spaces that can't be represented as ordinary manifolds.

Practically speaking, commutative geometry relies on Gelfand duality—a space is determined by the algebra of functions on it. Noncommutative geometry uses this as a starting point but works with non-commutative algebras instead, opening up entirely new geometric structures. Understanding this shift from "spaces determine algebras" to "algebras can represent spaces" is fundamental to grasping the field.

Tutors can help in several key ways: identifying and filling gaps in your prerequisite knowledge (functional analysis, operator theory, abstract algebra); breaking down abstract concepts into intuitive examples and diagrams; working through difficult proofs step-by-step and explaining the reasoning; and showing you how seemingly abstract ideas connect to physics and other applications.

A tutor can also help you develop effective problem-solving strategies for working with noncommutative structures, guide you through textbook material at your pace, and build your confidence in manipulating unfamiliar algebraic objects. Most importantly, they can create a space where you ask questions about why definitions are structured the way they are and how different concepts fit together into a coherent picture.

Standard references include Alain Connes' foundational work Noncommutative Geometry, José M. Gracia-Bondía's Elements of Noncommutative Geometry, and Masoud Khalkhali's Basic Noncommutative Geometry for more accessible introductions. For spectral triples and physics applications, John Barrett's A Lorentzian version of the non-commutative geometry of the standard model of particle physics and other review articles are valuable.

Many students benefit from supplementary materials on functional analysis (Conway, Rudin) and operator algebras before tackling full noncommutative geometry texts. A tutor familiar with different approaches can recommend resources matched to your learning style and help you navigate whichever text your course uses.

Expertise in noncommutative geometry opens doors in theoretical physics, mathematical physics, quantum mechanics research, string theory, and mathematical analysis. Researchers in quantum field theory, quantum gravity, and condensed matter physics regularly apply noncommutative geometry. Academic positions in mathematics and physics departments often value this knowledge.

Beyond academia, the field has applications in signal processing, quantum computing, and certain areas of engineering. Even if you don't pursue noncommutative geometry specifically, mastering it demonstrates advanced mathematical maturity and problem-solving ability that's valued across mathematics, physics, and quantitative fields.

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