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Claribel Alcantar is a parent volunteer providing logistical support in the BNP Bridge program. She was born and raised in the San Fernando Valley. She graduated from California State University Northridge, with a B.A. in Sociology and Criminology. Subsequently, Claribel completed a Masters Degree from California State University, Long Beach in Public Policy and Administration. On her spare time, she enjoys physical fitness and rekindling her love for the “digits” zero through nine with her sons Miguel and Matthew.
| Ellery Alkotob Ellery Alkotob is a second year undergraduate student at UCLA, majoring in Environmental Science with a concentration in Environmental Engineering. She taught STEM subjects to elementary and middle school students throughout high school, and is excited to continue teaching with ORMC. Outside of school, she enjoys hiking, traveling, and reading. |
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Kason Ancelin is a second-year undergraduate studying Applied Mathematics at UCLA. He will be an instructor in the Olympiads Training course. His academic interests outside of mathematics include economics, game theory, and physiological and nutrition science. Outside of the classroom, he enjoys athletics and hanging out with friends in the dorm lounges. His best friend is Sanjit D, also an instructor for the Math Circle. See Sanjit below. | Aaron Anderson is a fourth-year grad student in Mathematics at UCLA, with a BS from Caltech. His research relates to logic and combinatorics.
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Alex Bai is a sophomore at Sierra Canyon School. He loves math and physics and enjoys playing chess and board games in his free time. Alex has been an AIME qualifier since 7th grade and recently qualified for the USAJMO in 9th grade. He is excited to share his passion for mathematics with his peers and eagerly looks forward to working with them. | Mohit Bansil Mohit Bansil is a PhD student in math studying analysis. |
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America Barrera is a second year undergraduate at UCLA studying Data Theory. She is an active member in the Regents Scholar Society and Salsa Society at UCLA. In her free time she enjoys dancing, trying new foods, and exploring LA! | Sofia Behzadi Sofia Behzadi is a senior at LACES. |
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Miranda Billawala Miranda Billawala is a first-year undergraduate student at UCLA studying pure mathematics. She recently joined Math Circle and looks forward to working with students of all ages. To wind down, she enjoys playing sports or watching sitcoms. | Andreas Boulios Andreas Boulios is a UCLA undergraduate student, studying mathematics. |
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Sarah Brown | Terrin Busby Thompson |
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Raymond Cai Raymond Cai is a High School Sophomore who is enthusiastic about teaching, and enjoys solving challenging math problems. | Preston Carroll Preston Carroll is an UCLA alumnus of the Class of 2019, graduating with a degree in Microbiology, Immunology, and Molecular Genetics with a minor in Mathematics. He is currently a biochemistry researcher at UC Irvine, focusing on muscular dystrophies as well as DNA damage and repair mechanisms. |
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Siddarth Chalasani | Lavina Chan is a first-year undergraduate studying Materials Science and Engineering at UCLA. She is interested in soft materials and robotics. She is excited and grateful for the opportunity to teach in the Math Circle. |
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Andreia Chapouto | Tracy Charles Tracy Charles |
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William Chen William Chen is a 9th grader. He likes to read and play video games. He has gotten an honorable mention on the USAJMO math contest, and has qualified for AIME 3 times. He is happy to have the opportunity to volunteer in Math Circle. | Hugh Cheng is a sophomore at Harvard-Westlake and has been a math circle enjoyer since 2013. He loves learning and teaching math and spends his free time playing minesweeper, making music, pen spinning, and writing autobiographies. |
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Joy Cheng Joy Cheng is a first-year engineering major at UCLA. She was an avid member of Math Circle starting in fourth grade and enjoys sharing her love for math with younger students in Math Circle, local elementary/middle schools, and beyond. She is excited to be working with ORMC this quarter! | Kylar Cheng |
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Marcus Collins is a freshman at the Harvard-Westlake school. He has been attending ORMC since second grade, and this is his first year as an assistant instructor for the Beginners 1C class. He loves visual math, like graph theory and knot theory. Outside of school, he loves to row and plays the saxophone for his school band. This previous year, his Latin team won the state championship for Certamen, a Latin quizbowl. | Sanjit Dandapanthula is a third-year undergraduate studying mathematics at UCLA. Outside of mathematics, his academic interests include computer science and statistics. This year, he will be a lead instructor for the Intermediate 2B section at the Circle. In his free time, he enjoys mountaineering, playing the bamboo flute, and volunteering at Crisis Text Line. And Kason Ancelin is his best friend in the whole wide world; see Kason above. |
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August Deer is a rising Junior assisting with the Intermediate 1 group. He has attended UCLA Math Circle since 3rd grade, and currently attends the Olympiad 2 and Advanced 3 courses. This will be his second summer volunteering as a table instructor. Besides math, August enjoys film-making, piano, computer science, and is a Junior Member of the Magic Castle. | Natalie Deering is a high school junior and is excited to help teach the Advanced 1A group as an assistant instructor. She has attended UCLA Math Circle for 8 years. Her mathematical interests include set theory and analysis. Outside of math, she enjoys music, history, and hiking. |
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Vivian Dinson Vivian Moy-Dinson is a K-5 teacher for the past 17 years.
She received her Masters with honors in Education from Azusa Pacific University and her Bachelor’s degree in Liberal Studies from Cal Poly Pomona University. Vivian joined the Math Circle in 2017. | Jiahan Du [Jiahan][Du] is a graduate student in the math department. |
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Anvesha Dutta | Sam Eisenbach Sam Eisenbach is a sophomore at UCLA completing a double major in math and physics. He is passionate about helping kids deepen their understanding of math. |
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Koffi Enakoutsa Koffi Enakoutsa | Zenith Farin is the Communications Manager at the UCLA Department of Mathematics and assists with the administrative duties of the Math Circle. If you have any questions or concerns regarding donations, please contact Zenith at zenith@math.ucla.edu. |
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Jack Fasching is a high school student assisting with the Beginners 1A/1B classes for the 2022/23 year. He enjoys helping the younger students on their math journey and has also assisted with the BNP A/B classes in the 2021/22 school year and summer session, as well as Beginners 2A/B summer session. A student in the Math Circle program since 2014, Jack participates in the Olympiad group and Advanced 3 class. In his free time, he enjoys piano, computer programming, origami, and all things math and physics related. | Fernando Figueroa Zamora |
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Thomas Gannon | William Garland |
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Sam Gawboy Hunter Gawboy is an enthusiastic Math and Physics graduate from UCLA. He has always had interest in finding how the areas of his studies interact with and provide greater understanding of each other. In terms of tutoring and teaching, his goal is to have his students not only understand and be able to use what is taught, but to also have an opinion and overall enthusiasm about the topic. | Konstantin Gaydev is a rising senior attending North Hollywood High School. A long time student of the Math Circle, he is excited to teach mathematics to other students. He loves playing video games in his spare time. |
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Matthew Gherman is a graduate student in the UCLA Department of Mathematics. He has worked as an assistant and now a lead instructor in the Math Circle for a few years. He enjoys running and rooting for DC sports and, his alma mater, Duke.
| Nikita Gladkov is a graduate math student at UCLA. As a student, he has participated in miscellaneous olympiads up to the International Mathematical Olympiad (IMO). He then served as a coordinator for IMO.
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Gregory Gleizer | Oleg Gleizer Oleg Gleizer is a pedagogical innovator. His daily job is creating the 21st century math curriculum. Dr. Gleizer takes the best from the great textbooks and teachers of the past, mostly Russian and American, and adds the math typically taught in college, adjusting it to the cognitive level of his students, from kindergarten to 12th grade.
Dr. Gleizer has graduated with honors from the Department of Mathematics and Mechanics at Moscow State University, got his Ph.D. in math at Northeastern University, and was a Post. Doc. and assistant professor at UCLA Department of Mathematics. |
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Mya Greene Quargs Greene is a graduate of USC from the Music and Linguistics programs. Quargs has been a docent at ORMC for the past seven years and is currently a part-time freelancer.
| Paul Hawkins is a second year Aerospace Engineering major also interested in statistics. In his free time, he enjoys playing basketball, running, and spending time with friends. |
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Kevin Heo is a rising junior at LACES High School. He is excited to start his first year as an assistant instructor in the beginners 1A class. | Daniel Hoff is the Curriculum and Instructional Supervisor for the math circle advanced groups. He received his PhD in Mathematics from UC San Diego in 2016 and now researches and teaches as a postdoc in the UCLA Department of Mathematics, where his primary research is in functional analysis, with a focus on operator algebras and their connections to fields such as ergodic theory and measured group theory. He has been working with the math circle since 2017, when he first had the opportunity to be amazed by its students and program. |
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Hanchen Huang | Jason Huang is a second-year math+cs major. In his free time, he likes to play piano and watch movies. He enjoyed participating in math competitions in high school and is excited to be a co-lead for the AMC class. |
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Kyle Huang is a junior in high school, and is interested in mathematics and computer science. He has been part of the math circle for three years, and assisted in teaching the Beginners 2A class this summer. | Logan Hyslop is a second year undergraduate at UCLA, broadly interested in many forms of abstract nonsense. My interests will be kept more up to date on my website here: https://loganhyslop.github.io/. |
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Morgan Joeck Morgan Joeck is excited to be part of the Math Circle again. He teaches algebra and geometry for LAUSD at Bishop Conaty ? Our Lady of Loretto. He went to UCLA for his Bachelor?s degree in psychology and Master?s degree in education. Morgan is a member of the California Mathematics Council and National Council of Teachers of Mathematics and attends their local and national conferences annually.
| Shreyas Kamath is a second-year undergraduate student at UCLA majoring in mathematics and computer science. Currently, his interests lie in computational mathematics, computational complexity theory, and formal language theory. He enjoys discussing any topic related to math, computer science, or language and is passionate about teaching! |
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Stephen Kelman is a third year Computer Science major at UCLA who is also interested in pursuing a double major in Mathematics. He participated in math competitions from high school and has experience teaching math to students of all ages. In his free time, he enjoys biking, swimming, and playing piano. | Nakul Khambhati is a second year undergraduate studying Mathematics and Computer Science at UCLA. He is interested in pursuing a PhD in theoretical computer science. In his free time, he enjoys playing sports and board games. |
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Alexandra Kim | Arul Kolla |
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Sai Kommireddy is a high school senior. She has been attending math circle since the beginning of high school and has assisted with both the Beginners 1A and 2A classes. She thoroughly enjoys challenging herself through complex math problems and hopes to be able to share her love for math with others. | Sasha Kononova is a second-year undergraduate studying math and physics. Outside of STEMey pursuits, she enjoys listening to and playing music--she plays piano and a bit of classical guitar--, writing, researching random topics from dissociative identity disorder to the evolution of the mythology J.R.R. Tolkien created, of which she has been a fan for many years. |
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Nadya Kuzkina Nadya Kuzkina | Leonardo Lam is a first-year high school student. This year, he will be an assistant instructor for the Beginners 2A class, while also attending Advanced 1B at the Circle. Leo joined the Math Circle when he was 5 years old and has enjoyed the challenge of math ever since. In the 2021-22 school year, he partnered with a local school district to create an ORMC satellite; Leo taught elementary-aged students from across the district using the curriculum created by Dr. Gleizer and Dr. Radko. Aside from math, Leo enjoys playing the violin, spending time with friends, swimming, reading, and playing board games. |
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Catherine Lange is the lead instructor for the Beginners 1B class. She has previously been an assistant instructor for the Intermediate 1B, and Intermediate II classes. She is a second year UCLA student currently studying Physics. Her other interests include theater, neuroscience, improv, chemistry, and writing. | Aiden Lee |
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Hannah Lee is a high school student who has been a student at the Circle since 7th grade. She is excited to assist the Beginner 1 class! In her free time, she enjoys swimming, running with her dog, reading, programming, and listening to music. | James Leng |
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Haoyu Li | Kevin Li Kevin Li is a fourth year Applied Mathematics major with an intention of double majoring in computer science. He informally taught advanced single variable calculus classes with teachers in his high school alongside taking computation and competition preparation courses at WCSU. He loves music (esp. piano), tennis, and playing games. |
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Hairan Liang | Sunny Liang is a second year undergraduate studying physics and other stuff at UCLA. He also enjoys film, literature, and urban exploration. He is currently an assistant instructor for the Advanced 2 class. |
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Doug Lichtman is a professor of law at UCLA. He started teaching for Math Circle in the 2019/20 academic year. | Brandon Lim |
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Curtis Liu is a second year undergraduate studying Mathematics at UCLA. He has experience in various math competitions and enjoys helping students with problem solving. | Hunter Liu is a second-year Applied Math and Neuroscience double major. He is an absolute nerd when it comes to math, so he loves sharing all the cool ideas and concepts he learns about! Aside from math, you can catch him writing, making music, or coding projects in the wild. |
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Jiantong Liu is a fourth-year undergraduate studying pure math and cognitive science. His primary interest in math lies in algebraic topology and algebraic geometry. Outside of math, he enjoys reading and playing chess. | Brad Lowe Brad Lowe |
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Sean Maguire | Thomas McCurley is a rising high school freshman and math enthusiast. He is an AIME qualifier. Besides math, he is also a passionate soccer player, chess player and enjoys playing video games with his friends. He is thrilled to be part of the math circle community and an assistant instructor.’ |
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Joaquin Moraga is an assistant professor at UCLA. Previously, he was a postdoct at Princeton University and a graduate student at the University of Utah. | Seth Nabat is a rising sophomore in high school. He loves studying complex analysis and theoretical quantum physics. Outside of math, Seth enjoys composing on the piano, programming, and biking around Los Angeles. He is excited to help teach the Beginners 1 classes this summer!
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Sumith Nalabolu is a second year undergraduate student at UCLA studying math and computer science. He participated in math competitions throughout middle school and high school, and has taught classes at the San Diego Math Circle. Aside from math, his other interests include basketball, speedcubing, and watching anime. | Saida Piri Saida Piri is a high school senior at LACES. She has been a part of Math Circle since the 4th grade. She loves to teach math and is really excited to help the Beginners classes! |
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Mark Ponomarenko is an LAMC alumnus and a third-year undergraduate student at UCLA. He is majoring in Applied Mathematics, but also knows a bit about computer science, Linux, and martial arts. | Aditee Prabhutendolkar Aditee Prabhutendolkar is a freshman at Caltech with a major in Computational and Neural Systems and a minor in CS. She attended LAMC throughout middle school and high school and created a branch of the math circle in the Arcadia school district. She is excited to be the co-lead instructor of the AMC preparation class. |
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Maksym Prokopovych is an ORMC alumnus and 4th year Computer Engineering undergraduate at UCLA. Maksym found his love for math in the 7 years he was a student with ORMC and is glad to return to the program as a docent to inspire the next generation of math lovers. | Hengyuan Qi is a fourth year at UCLA. His current major is applied mathematics. Beside math, he is also interested in music and writing. He loves basketball and often watches anime in his free time. |
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Lydia Qin is a high school senior. She has participated in Math Circle for over ten years. She loves teaching math to enthusiastic kids and has assisted Beginners 1, Beginners 2, and AMC 8 classes. In her free time, she enjoys cooking and playing ultimate frisbee. | Nathan Quirion is an undergraduate transfer student at UCLA majoring in pure mathematics. He has previously attended LAMC/ORMC for 7 years and has served as a TA in physics at his community college. In addition to math and physics, he enjoys studying topics such as philosophy, Latin, anthropology, and the connections between seemingly disparate subjects. In his spare time, he draws and writes fantasy fiction. |
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Shriya Rajesh is a Junior in high school. She is interested in math and likes to teach others math as well. She also likes programming and solving challenging problems. | britney robinson |
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Marcus Roper is a professor in the UCLA Department of Mathematics, and in Computational Medicine. In research, he is interested in connections between math and sciences and engineering. He is excited to be teaching one of the Beginner 2 groups in the 2022-23 Math Circle. | Xavier Rowe Xavier Rowe |
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Michael Salko is a high school student who has been with the ORMC since the third grade and is very enthusiastic about mathematics. | Sucharit Sarkar is a professor in the UCLA Department of Mathematics. His reasearch interest is topology.
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Naji Sarsam is a fourth-year undergraduate math major at UCLA who is interested in pursuing a Ph.D. in mathematics. Outside of math, his interest/hobbies include practicing martial arts and language learning. He is excited to be a co-lead instructor for the Intermediate 1A class this 2022-2023 year! | Andy Shen is a fourth year Computer Science undergrad. He joined the Math Circle in 2020, and is excited to pass on his mathematical passion through teaching. In his free time, Andy enjoys sketching and reading to unwind, and playing volleyball/basketball to let loose. |
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Robert Shen Bobby Shen graduated from MIT in 2017. He works at a startup in the West Los Angeles area working on audio / video signal processing. He othought it would be fun to suddenly join the UCLA Math Circle in free time but it was very strange timing. | Richemond Shin is a high school junior who has been with Math Circle since early elementary school. He is interested about learning and teaching math and has helped with Math Circles Beginners classes. |
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Dimitri Shlyakhtenko | Robert Shlyakhtenko |
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Zachary Smith | Nathan Solomon is a second-year math and physics major at UCLA. In his free time, he enjoys programming, cooking, and listening to music. |
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Sahana Sri is a sophomore at Oak Park High School. She has been a student at the Circle for 7 years, and started teaching the AMC 8 Training Class this summer. Aside from math, Sahana enjoys writing for her school newspaper, reading, and studying foreign languages.
| Srinjana Sriram |
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Hannah Steinberg is a rising third-year undergraduate double-majoring in Cognitive Science and Statistics. She was a math circle student starting at age 7. | Max Steinberg is a 4th-year pure math major at UCLA in representation theory. Outside of math, he enjoys Dungeons and Dragons, programming, and chess. |
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Michael Suherman Michael Suherman | Glenn Sun is a fourth-year undergraduate math major at UCLA. He is strongly interested in combinatorics and theoretical computer science, and has experience TAing for classes in various high school summer programs. In his free time, he watches anime and Kdramas, cooks, and plays video games.
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Chynna Swift is a fourth year pre-med student majoring in microbiology, immunology, and molecular genetics (MIMG) and minoring in Spanish. She has a passion for math and she is honored to be able to carry on Olga Radko‘s legacy by showing young students the beauty of math as well. This will be her 4th year in the Math Circle and she is excited to be the lead instructor of Intermediate 1B this year. She loves that she has been able to see her students grow as mathematicians and kind humans over the years! Outside of Math Circle, she is involved in virology research, she is a part in UCLA’s Afrikan Student Union as president of Curls U, and she loves going to concerts, Disneyland, and the beach. | Joshua Swift is a second-year undergrad student studying Molecular, Cell and Developmental Biology at UCLA. This is his second year in the Math Circle and he is currently an assistant instructor in Intermediate 1B. Josh is a member of the UCLA Football team and loves to play video games, listen to music, and work out in his free time. |
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Sowmika Talanki Lakshmi Sowmika Talanki is a rising sophomore at Oak Park High School. She is going to be working as an assistant teacher at the math circle. She is passionate about math, art, and music. She is excited to start teaching! | Raymond Tao Raymond Tao is a first-year undergraduate at UCLA majoring in mathematics. He participated in math competitions throughout high school and has a passion for teaching math to others. He comes from Ohio and was a member of the Ohio All-State ARML team. In his spare time, he judges at tournaments for his high school policy debate team. He hopes to study math in graduate school someday. |
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Yan Tao is a third-year undergrad pure mathematics major here at UCLA, and this is his third year teaching at the LAMC. In the future he plans to go to graduate school to study differential geometry or another closely related mathematical area. Before coming to UCLA, he taught some classes of a similar nature for the San Diego Math Circle in high school. He also has plenty of competition math experience from elementary school, middle school, high school, and here at UCLA, where he scored in the top 500 on last year’s Putnam. He is also a peer mentor for the UCLA Regents Scholar Society.
| Brennan Ty Ty Brennan |
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Marcus Vidaurri is a second-year Mechanical Engineering student at UCLA. This is his first year with ORMC. He is passionate about understanding the universe through mathematics and extending that passion to the next generation. Outside of school he enjoys playing basketball, mountain biking, playing piano, reading, and admiring nature. | Viranshi Vira |
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Tanish Vora | Yash Vora Yash Vora is a high school junior at LACES high school. He has been a member of the math circle since the second grade! Aside from math, Yash is a big chess player and has been playing ever since he was 7 years old. He is very excited to meet all of you! |
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Benjamin Wang is a 3rd year undergraduate at UCLA studying physics. He has an interest in plasma physics and enjoys playing chess in his free time. | Rui Wang is a second-year undergraduate studying mathematics. Outside of school, he enjoys jazz and orchestral music, playing tennis, and working out. Currently, he is an assistant instructor for the Beginners 2B section. |
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Emily Widjaja is a second-year undergraduate student at UCLA. She is majoring in Financial Actuarial Mathematics. In her free time, she enjoys playing tennis, music, and meeting new people. | Zane Witter is an undergraduate Math and Computer Science major entering his third year at UCLA. In addition to working for the Math Circle, he volunteers as a tutor for the computing honor society Upsilon Pi Epsilon. Zane has a passion for linear algebra, and outside of academics enjoys running and playing piano. |
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Eric Wu Eric Wu is a second-year undergraduate student who is majoring in math of computation. Besides math, he is also interested in puzzles and Rubiks Cubes. He is very excited to be an assistant instructor at the ORMC! | Lenny Wu is a second year undergraduate student pursuing majors in Applied Mathematics and Computer Science at UCLA. In her free time, she makes recipes and shoots photos for her food blog, Vegamelon. She also enjoys running, lifting weights, reading, and playing piano. Lenny has tutored students in math and other STEM subjects since high school, and she is always thrilled to help others learn. |
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Kyle Xu | Phoebe Xu is a rising Sophomore who loves teaching math to kids, and just working with children in general. She has been in Math Circle for over seven years and frequently participates in math competitions. She is also really looking forward to assisting in the Summer Math Circle classes. In her free time, Phoebe also loves to listen to music, read, draw, write, and play the piano. |
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Richard (Yuxuan) Xun | Jerry Yang is a rising third-year undergraduate student majoring in mathematics and economics. He is interested in the theory of pure mathematics as well as how it applies to other fields like economics. He likes teaching math to younger students, and have tutored multiple high school students on calculus classes. In his spare time, he likes running, playing the piano, and playing games. |
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Jiarui Yu Jiarui Yu is a third-year undergraduate student at UCLA, majoring in Computational Mathematics. | Runze Yu is a fourth-year undergraduate at UCLA studying mathematics. He has been participating in math competitions since high school, and he continues to find a passion in teaching math. Outside math classrooms, he is interested in linguistics and enjoys learning new languages. In his free time he enjoys running, playing soccer and watching anime. |
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Yifan (Frank) Yuan | Huaxing Zeng is a third-year undergraduate double majoring in applied math and economics here at UCLA. She is passionate in exploring fun and entertaining ways to appreciate math. She is excited to be working with ORMC this quarter as an assistant instructor. |
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Qiao Zhang is a high school freshman who joined Math Circle in 2nd grade and is currently an assistant instructor for the Intermediate 2 class. Qiao is passionate about math and is an avid problem solver, getting perfect scores in the AMC 8 and AMC 10 competitions. He qualified for USAJMO since 7th grade and is a recipient of the Spirit of Ramanujan Fellowship. Qiao is excited to pass his love for math to his peers. Besides math, Qiao is also a passionate solo and chamber music player. In his spare time, he enjoys playing chess and board games with his friends, creating math problems, and taking “mathematical” walks with his family. | Rachel Zhang is a third year undergraduate student at UCLA, majoring in Computational and Systems Biology (C&SB) with a concentration in biological data sciences. She is excited to be an assistant instructor for the Beginners 2A class this year. |
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Connor Zhao is a rising freshman at North Hollywood High School. He has been in Math Circle since 2nd grade and is eager to be an assistant instructor. He has participated in many math competitions, qualifying for AIME since 7th grade and has taught several classes in the past. In his free time, Connor enjoys playing online chess, reading, and watching Youtube videos. | Frank Zheng Frank Zheng is a third-year UCLA student studying math and computer science. He loves working with students and is excited to be an instructor for ORMC! Outside of school, he enjoys reading, making digital art, and learning new things. |
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Erica Zhou is a second-year undergraduate student at UCLA studying Mathematics/Economics and Statistics. She has been playing Go, a traditional Chinese chess game, for more than 10 years and enjoyed exploring the interconnection between Go and math. In her free time she also enjoys watching movies/dramas, playing volleyball, painting, cooking, and reading. Having tutored students with math, English, and Go since middle school, Erica is thrilled to join ORMC! | John Xiaoshu Zhou |
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Shibing Zhou | Hongyu Zhu is a third-year undergraduate student at UCLA. His major is pure mathematics. He likes to talk about mathematical ideas with friends. He served as the leader of his high school math club for two years. Apart from mathematics, he also likes running, reading, and playing the piano. His favorite natural number is currently 112. |
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Sophie Zhu is a rising senior at Pali. She has been with the Math Circle for several years and is excited to teach younger students. Outside of math, she enjoys playing violin, swimming, and crocheting. | Konstantin Zuev is an assistant teaching professor of computing and mathematical sciences at Caltech. |