"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
–John Von Neumann
WORLD MATHEMATICS ACADEMY
World Mathematics Academy is a two-week course introducing students ages 15-18 to proof-based mathematics and is designed and taught by a world-leading instructor. Whether you are already set on a career in a mathematical discipline such as engineering, computer science, or quantitative finance, or if you simply want to expand your mathematical horizons and abilities, World Mathematics Academy will provide you with key insights into the world of mathematics and how to excel as a student in the field.
WORLD MATHEMATICS
ACADEMY
CURRICULUM
Class 1: Mathematical Induction
Class 2: The Geometry of Complex Numbers
Class 3: Combinatorics
Class 4: Graph Theory
Class 5: Pick's Formula
Class 6: Analytic Geometry
Class 7: Quaternions
Class 8: Group Theory and Burnside's Lemma
Class 9: Projective Geometry
Class X: Mathematical Battle
Explore the World of Mathematics
Discover fundamental mathematical concepts which underpin powerful theoretical representations of reality, and learn how to apply logic like a professional mathematician
Master Mathematical Induction
Mathematical induction is a powerful analytical method used throughout all fields of mathematics. Master it to prove fascinating mathematical identities, solve problems in game theory, and much more!
Discover the Geometry of Complex Numbers
The complex numbers are related to the geometry of the plane. Discover different ways to understand complex numbers, including how operations with them can be depicted geometrically
Combinatorics
Learn how professional mathematicians rigorously dissect
challenging counting problems using binomial coefficients, generating sequences, and recurrence relations
Learn about Quaternions
Understand the non-commutative number system that the eminent mathematician Hamilton grappled with for years, and how this amazingly led to his discovery of quaternions and a systematic framework for the mechanics of
3D space
Explore Mathematical Rotations
Explore how mathematicians think about rotations and see how these abstract concepts help in answering many natural questions, including fascinating applications in chemistry and music
Harness the Power of Infinity
Learn how to rigorously think about points at infinity. Remarkably, these methods help us to understand essential mathematical concepts such as Euclidean geometry, Calculus, and to prove some truly astonishing theorems!
Mathematical Battle
Engage in a fun problem-solving tournament with your peers while applying everything that you have learned on the course. You’ll have the opportunity to explain your solutions to others and challenge your opponents
Your Mathematics Instructor
Evgeny Goncharov is a doctoral candidate in mathematics at the University of Cambridge with a research specialization in algebraic geometry. He holds a master's degree in mathematics from the same institution.
Evgeny won the 2017 Topology Olympiad in St. Peterburg, Russia, and has published research in peer-reviewed journals in the fields of algebraic geometry and risk analysis. He is currently researching Gross-Siebert mirror symmetry and is employed as a technical consultant by the high-performance computing company MatLogica. He has a strong passion for teaching and has been introducing students to the beauty of mathematics for the past 7 years.
Mathematics Course Testimonials
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"Had a phenomenal math course with my instructor Evgeny Goncharov, who was an incredibly nice, patient, understanding, and funny teacher. This is a challenging course that taught me a great deal of what math truly is, what you experience as a math major, and was a great experience overall!"
–Carl L. (15) Los Angeles, CA
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"Evgeny is disciplined, brilliant at explaining complex concepts, truly brilliant at motivating, and has a lovely personality on top of all those skills. Very highly recommended."
–Maxim A. (17) Cambridge, UK
"Evgeny has been teaching me mathematics for over three years and his passion and knowledge was so inspiring that I decided to pursue a mathematical career. He is a very kind and funny person and a truly unique teacher."
–Maria M. (18) Ecole Normale, France
"I have always wanted to understand mathematics better but my attempts until recently have not been very successful. Evgeny patched up the holes in my education and helped me find and explore exciting areas."
–Chris B. (32) Professional Photographer
WORLD MATHEMATICS
ACADEMY
World Mathematics Academy is delivered synchronously over two weeks in (i) ten live and interactive online classes, and (ii) two one-on-one personalized academic tutorials led by your instructor. The program follows the World Mathematics Academy curriculum and includes:
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Maximum class size six (6) students
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Individual feedback and academic guidance
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Take-home continuing study exercises and resources
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Letter of Recommendation from your instructor (upon satisfactory participation)
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Access to video recordings of all ten (10) live classes for future review
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Complimentary admission to the Career Exploration Academy
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Course completion certificate
Online classes will last approximately two hours and will be delivered on weekdays 12pm-2pm US Pacific Time | 3pm-5pm US Eastern Time | 8pm-10pm British Summer Time.