Previous Events!

When a Plane met a Cone by Aditi Muthkhod

We start by building intuition about a nontrivial well-known result in conics and watch as things fall naturally in place. We then return to the result in question with Dandelin's magic and watch how things unfold to give a beautiful proof. The prerequisites are knowing what a cone is.

September 26, 2021 | 09:30 (EST) 19:00 (IST)

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Length at length by Aniruddhan Ganesaraman

This is an expository talk on Measure Theory- the art of assigning sizes to sets in a no-nonsense fashion, generalizing well-known concepts like length and area. We also explore how interpretations of length have evolved from time immemorial to what it is now.

September 25, 2021 | 09:30 (EST) 19:00 (IST)

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Combinatorics PSS by Vedant Saini

This will be a problem-solving session with combinatorics questions. We will try to find and motivate the solutions using intuition and develop the thought process behind them. No hard prerequisites.

September 19, 2021 | 09:30 (EST) 19:00 (IST)

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Induction and other ideas by Abhay Bestrapalli

We explored the use of induction in combinatorics questions among other important ideas. We also go over instructive olympiad questions related to these. No hard prerequisites.

September 18, 2021 | 09:30 (EST) 19:00 (IST)

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The Hydra, Cyber Crime, and What We Know We Don't Know by Dia Basak

The talk discusses the "Hydra" theorem of Kirby and Paris and its unprovability from Peano arithmetic (which will be explained). It'll be helpful if people have seen things like formal proof and induction before, but there aren't any hard prerequisites.

September 12, 2021 | 08:30 (EST) 18:00 (IST)

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Functional Equations by Ananya Ranade

We discussed various techniques of solving functional equations and a few interesting problems. Techniques like substitution, equating, and canceling things to make equations easier will be discussed. We solve olympiad questions alongside

September 11, 2021 | 05:30 (EST) 15:00 (IST)

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Polynomials on R[X] Part 2 by Kazi Aryan Amin

We discussed properties and results relating to polynomials with real coefficients alongside interesting olympiad problems. We venture into polynomials with complex coefficients. There are no hard prerequisites except basic comfort with complex numbers and the definition of polynomials.

September 05, 2021 | 09:30 (EST) 19:00 (IST)

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Polynomials on R[X] Part 1 by Kazi Aryan Amin

We discussed properties and results relating to polynomials with real coefficients along with interesting olympiad problems. We venture into polynomials with complex coefficients. There are no hard prerequisites except basic comfort with complex numbers and the definition of polynomials.

September 04, 2021 | 09:30 (EST) 19:00 (IST)

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Introduction to Graph Theory by Pranjal Srivastava

This session was a brief introduction to graph theory in math olympiads. There are no hard prerequisites.

August 29, 2021 | 09:30 (EST) 19:00 (IST)

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Intro to Commutative Rings and Ideals by Rohan Goyal

We introduced commutative rings and ideals and further discussed special types of ideals such as prime ideals, maximal ideals, and domains like EDs, and PIDs, UFDs. Bonus points for knowing full forms. The prerequisites are the definitions of fields and rings.

August 28, 2021 | 09:30 (EST) 19:00 (IST)

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Group Theory Problem solving session by Arindam Bhattacharyya

We solve some problems (only up to section 4 in the handout) involving Lagrange theorem and number theoretic ideas and if time allows, motivate normal subgroups. The prerequisites are the first 3 sections of the handout or the respective recordings where the same content was covered.

August 15, 2021 | 09:30 (EST) 19:00 (IST)

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Group Theory Revision Session by Arindam Bhattacharyya

This was a revision session on group theory for a problem-solving session. It is a 30 min preclass session.

August 15, 2021 | 09:30 (EST) 19:00 (IST)

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Inversion by Atharva Parulekar

The session introduced inversion from the basics and goes over a few important lemmas and facts that will help us solve olympiad questions. We also solved olympiad problems where inversion is helpful. No hard prerequisites.

August 14, 2021 | 09:30 (EST) 19:00 (IST)

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Construction and Architecture by Rohan Goyal

We look at common ideas in construction-related problems in NT and Combinatorics. We also try to understand how to think of various types of constructions philosophically. No hard prerequisites.

July 31, 2021 | 03:30 (EST) 13:00 (IST)

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Miquel, Simson and Steiner by Sudharshan KV

We covered some properties of Miquel points, Simson and Steiner lines and solve some problems along the way. No hard prerequisites.

July 25, 2021 | 09:30 (EST) 19:00 (IST)

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Problem Solving Session 2.0 by Abhay Bestrapalli

We will help you solve various problems that we think are instructive. Specifically, IMO 2021 Q1, IMO 2021 Q5, and a problem from Russia 2004 are solved. No prerequisites. The whiteboard can be found in the youtube description

July 24, 2021 | 09:30 (EST) 19:00 (IST)

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Exponents in Number Theory by Tejas Mittal

We go through some basic techniques in solving olympiad problems, mostly concerning exponents of primes, like orders and the Lifting the Exponent lemma. The prerequisites roughly include Modular arithmetic and (up to) Euler's theorem. The used notes can be found in the Youtube description.

July 15, 2021 | 09:30 (EST) 19:00 (IST)

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Projective Geometry 2.0 by Ojas Mittal

We defined and characterized maps called projective transformations, and proved that maps sending lines to lines preserve cross ratio. This is a continuation of the previous session but section 1.1 of https://math.mit.edu/~notzeb/cross.pdf can be read as alternative prerequisites.

July 13, 2021 | 09:30 (EST) 19:00 (IST)

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Projective Geometry by Ojas Mittal

It focused on an introduction to projective geometry where we will discuss maps on the projective plane that sends lines to lines. Knowledge of basic linear algebra is suggested but not required

July 07, 2021 | 09:30 (EST) 19:00 (IST)

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ELMO Day 2 Livesolve

This is a ELMO Day 1 Livesolve by Kazi Aryan Amin and Abhay Bestrapalli. We tried to solve the questions from the olympiad(and got q4 and q5). You can find more about ELMO on aops.

July 01, 2021 | 08:30 (EST) 18:00 (IST)

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ELMO Day 1 Livesolve

This is a ELMO Day 1 Livesolve by Kazi Aryan Amin and Abhay Bestrapalli. We tried to solve the questions from the olympiad(and got all 3). You can find more about ELMO on aops.

June 29, 2021 | 08:30 (EST) 18:00 (IST)

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Hall's Theorem by Pranjal Srivastava

Hall's perfect matching theorem, a graph theoretic result about perfect matchings, often appears unexpectedly in a lot of olympiad problems. In this session, we'll first prove Hall's theorem, and then solve a few questions using it. No hard prerequisites.

June 27, 2021 | 09:30 (EST) 19:00 (IST)

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Combinatorial Game Theory 2.0 by Ritam Nag

A continuation of the discussion on combinatorial games from the prequel. We talk about games as a formal construct, the Sprague-Grundy theorem, Hackenbush and surreal numbers. The session shows you how to create ordinal numbers as games.

June 26, 2021 | 09:30 (EST) 19:00 (IST)

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Angle Chasing by Rohan Goyal

It covers the basics of angle chasing and power of point to solve olympiad geometry problems and prove various theorems. No prerequisites.

June 21, 2021 | 09:30 (EST) 19:00 (IST)

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Group Theory 2.0 by Arindam Bhattacharyya

We will prove Lagrange's theorem and introduce the notion of normal subgroups and end with isomorphism theorems. There is no Youtube recording for this session, but one may use the handout.

June 20, 2021 | 09:30 (EST) 19:00 (IST)

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Russian Problems by Kazi Aryan Amin

This session will cover combinatorics questions often called "Russian problems", which are characterized by low-tech, slick solutions, elegant statements, and seemingly random constants. There are no prerequisites. Extra pset in Youtube description.

June 13, 2021 | 09:30 (EST) 19:00 (IST)

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Functional Equations by Aayam Mathur

The session will be an introduction to methods and ideas in solving classic functional equations. Things will be covered from the basics with heavier emphasis on ideas and motivation rather than details.

June 12, 2021 | 09:30 (EST) 19:00 (IST)

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Complex Numbers in Geometry by Arnav Pati

The session introduces complex bashing and using complex numbers in geometry. There are no prerequisites.

June 06, 2021 | 09:30 (EST) 19:00 (IST)

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Combinatorics Problem Solving Session by Abhay Bestrapalli

The session goes over a bunch of olympiad questions that are instructive along with many ideas and techniques alongside. Specifically, ISL 2015 C1, TSTST 2016/5 and USAMO 2020/2 are solved.

June 05, 2021 | 09:30 (EST) 19:00 (IST)

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Angle Chasing with Conics 2.0 by Pranjal Srivastava

The session mainly focuses on properties of inconics of quadrilaterals, and will also contain some olympiad geometry that can be solved using conics. This is a continuation of the session by Rohan Goyal

May 30, 2021 | 09:30 (EST) 19:00 (IST)

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Combinatorial Game Theory by Ritam Nag

The video discusses tools and techniques for working with combinatorial games. There are no prerequisites.

May 29, 2021 | 09:30 (EST) 19:00 (IST)

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An Introduction to Group Theory by Arindam Bhattacharyya

The session introduces groups through many examples. It goes over various theorems like Lagrange and FLT.

May 23, 2021 | 09:30 (EST) 19:00 (IST)

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Angle chasing with conics by Rohan Goyal

The lecture introduced conics and various properties they exhibit. The lecture aimed to be accessible to everyone and thus no prerequisites except basic angle chasing are assumed but the results should be of interest to the experienced viewers as well.

May 22, 2021 | 09:30 (EST) 19:00 (IST)

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Max-flow Min-cut theorem by Aatman Supkar

This session was about the Max-flow Min-cut theorem and a discussion about flow in general.

May 16, 2021 | 09:30 (EST) 19:00 (IST)

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An Introduction to Graph Theory by Abhay Bestrapalli

This session was an introduction to graph theory for math olympiads. The session introduces graph theory from scratch and goes on to harder problems.

May 15, 2021 | 09:30 (EST) 19:00 (IST)

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Algorithms and Processes by Abhay Bestrapalli

The session is on analyzing algorithms in math olympiads and went through multiple ideas that lets us do this. It also covers further uses of algorithms. A Pset can be found in the Youtube description.

May 09, 2021 | 09:30 (EST) 19:00 (IST)

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