A Derived Category
of Curious Minds.
Welcome to Liminal — a mathematical space centered around curiosity, problem solving, and deeper mathematical ideas. Whether through olympiad mathematics, geometry, topology, analysis, algebra, or more abstract areas of mathematics, the aim is to bring together people who enjoy exploring mathematics beyond standard formulas and routine techniques.
liminal is ultimately intended to be a community for sharing challenging problems, interesting ideas, and the deeper structures that appear throughout mathematics.
A Shared Space For Mathematical Exploration
ABOUT
The project aims to go beyond the format of a conventional blog or training platform. In addition to olympiad mathematics taught through a more exploratory and intuition-oriented approach, liminal is intended to support reading groups, courses, discussions, and seminars conducted within the community itself. The broader goal is to encourage a more collaborative and engaging way of learning mathematics.
Building a Community Around Mathematics
I’m Abhinandan Saha, an undergraduate mathematics student at the Chennai Mathematical Institute with a strong interest in olympiad mathematics, pure mathematics, and mathematical problem solving. Liminal was created as an effort to build a mathematical space centered around curiosity, discussion, and shared learning.
More than anything, Liminal is meant to bring together people who enjoy thinking seriously about mathematics. Whether through solving difficult problems, exploring abstract ideas, or participating in mathematical conversations with others who share similar interests.
Inside Liminal
What we do
Mathematics Training Program
Problem Solving and Mathematical Thinking
We conduct an intensive training program in olympiad mathematics centered around a problem-solving-based approach to learning. Rather than presenting topics purely through lectures or standard techniques, the program encourages students to develop ideas naturally through motivated problems, guided exploration, and mathematical discussion. Emphasis is placed on active participation, collaboration, and the process of discovering concepts through problem solving and interaction with both peers and mentors.
Xponential Mathematical Contest
A Problem Solving Competition Built Around Mathematical Thinking
The Xponential Mathematical Contest is an olympiad-style competition designed to encourage creative problem solving, logical reasoning, and mathematical curiosity beyond standard school methods. The exam is open to everyone and requires no prior olympiad background beyond the regular school syllabus.
More than just a competition, Xponential also serves as the primary pathway into our olympiad training program, helping identify students who genuinely enjoy thinking deeply about mathematics and problem solving.
Check it out at,
Reading Groups
Collaborative Mathematical Exploration
The reading groups at liminal are small, community-driven spaces for exploring mathematics through discussion, shared problem solving, and collaborative learning. Rather than following a conventional classroom structure, the groups focus on actively engaging with ideas, intuition, proofs, and mathematical exploration together.
Topics may range from olympiad geometry and combinatorics to topology, algebra, analysis, and other areas of modern pure mathematics. The aim is to create an environment where people who are genuinely interested in mathematics can regularly learn, discuss, and explore ideas together in a serious but open setting.
Reading Courses
Learning Beyond the Conventional Classroom
Seminars and Discussions
Open Mathematical Conversations
Notes and Expositions
Mathematical Writing and Exposition
Similar to our Reading Groups, but with a dedicated instructor with good experience in the subject, who will help and guide students in learning the material and develop their thought process in problem solving.
Liminal regularly hosts community seminars and informal mathematical discussions centered around interesting problems, ideas, and areas of mathematics. Members are encouraged to present topics they find exciting — ranging from olympiad problems and elegant proofs to advanced concepts from pure mathematics.
The aim is to create an open environment where mathematical ideas can be shared, discussed, and explored collaboratively, while also giving participants an opportunity to communicate mathematics clearly and engage with others who share similar interests.
Liminal features detailed notes, articles, and expository pieces covering topics ranging from olympiad mathematics to modern pure mathematics. The emphasis is placed not only on rigor, but also on intuition, motivation, and the broader ideas connecting different areas of mathematics.
Rather than presenting mathematics as a collection of isolated results, the goal is to develop explanations that encourage deeper understanding, highlight underlying structure, and communicate the beauty of mathematical thought clearly and carefully.
CONTACT
Send me an email at here for any query.