Abstract: A random matrix is just a matrix whose entries are random numbers. They appear in many applications, from statistics and quantum physics to signal processing and neuroscience. A central question is: what do the eigenvalues of such matrices look like? Surprisingly, it’s often easier to understand the eigenvalues of very large random matrices than small ones. In this talk, I’ll explain why random matrices matter, and how, despite their randomness, large random matrices often display remarkable regularity.
Abstract: The talk explores how the classical Basis Extension Theorem extends to the setting of free modules through the concept of unimodular elements. It examines when unimodular rows can be extended to invertible matrices, connecting algebraic ideas.
Abstract: The integer partition function p(n) counts the number of ways in which a positive integer n can be written as the sum of positive integers less than or equal to n. For example, 4 can be written as 4, 3+1, 2+2, 2+1+1, 1+1+1+1, so p(4)= 5. In a famous paper written in 1918, Hardy and Ramanujan gave an approximate (asymptotic) formula for p(n). In this talk, we will give an overview of Ramanujan's work and the subsequent developments in understanding the fascinating properties of p(n).
Abstract: An expander family of graphs is a mathematical way of encoding the idea of a "good" network. We will explain what "good" could mean in this context, and use this to define an expander family. We will then describe a way of constructing such families using group theory.
DOCUMENTARY SCREENING: BBC documentary on The Fermat’s Last Theorem: A gripping tale of obsession, genius, and one of the most famous problems in mathematics finally being solved after 350 years. Follow Andrew Wiles as he takes on a mystery that baffled the world for centuries and proves that sometimes, passion really can rewrite history!
Organised an exciting quiz night that took participants on a thrilling journey across the world—connecting geography, history, wars, and sports with the wonders of math and science.
At first glance, it may seem like just another game—but there is an interesting mathematical logic waiting to be uncovered.
This event offers an interactive introduction to Conway’s Game of Life, a classic cellular automaton that illustrates how complex patterns can emerge from simple rules. Participants will explore the unpredictable and mesmerizing behavior of the "game," where cells live, die, or evolve based on their neighbors. No players or traditional strategies required, just observation and discovery. Join us for an engaging evening of emergent complexity, computational beauty, and lively discussion.
This one-of-a-kind event flipped the classic Rubik’s Cube challenge on its head! Instead of solving the cube, participants went head-to-head to scramble a perfectly solved cube into given target patterns—fast. Each round pushed their speed, focus, and precision to the limit as they raced to recreate patterns with flawless accuracy.
We are glad to introduce the IISERB Maths club podcast series. In our episode 1, we have Dr. Prahlad Vaidyanathan on the show where he talks about what it is like to be a mathematician and debunks some popular myths about mathematicians.
MATLAB workshop
Interview with Dr. Nikita Agarwal
Talk #1
Talk #2
Unravelling intriguing problems with colorful strategies - Hanuram Vikash
Constructing Number System - Dhawal Patil
Topology and Data - Prerak Deep
The packing color problem - Bernardo Subercaseaux
Strassen's Matrix Multiplication - Adheesh Trivedi
Exploring Infinities - Dr. Rohit Dilip Holkar
Apollonian Circle packing - Clyde Kertzer
But what is 'Dimension'? - Aaryan Shaha
Seeing the unseen through Mathematics - Dr. Sombuddha Bhattacharyya
Studying Groups via Geometry - Harsh Patil
Stochastic Stonks - Rahul Krishnakumar
Talk 01 - To Prove or Not to Prove - Samyak, Shorya
09 Aug '22, Tue, 21:00-22:00
Talk 02 - Bending Infinities to Fit our finite world - Muskan
17 Aug '22, Wed, 21:00-22:00
Talk 03 - Understanding love through mathematical modelling - Saumya, Rajeswari - slides available here
23 Aug '22, Tue, 21:00-22:15
Talk 04 - The Rubik’s Cube Group - Vishakh Vasu
29 Aug '22, Mon, 21:00-22:15
Open Hour
07 Sep '22, Wed, 19:00-20:30
Talk 05 - Pythagorean Triplets and Fermat’s Last Theorem for n=4 - Subhadip Banerjee
07 Sep '22, Wed, 21:00-22:15
HitchHiking - A Singularity Event. Questions and solution manual.
15 Oct '22, Sat
Open Hour
26 Oct '22, Wed, 20:00-23:00
Movie Screening - A Trip to Infinity
28 Oct '22, Fri
Talk 06 - Polynomials Interpretation - Goutham Vinjamuri
09 Nov '22, Wed, 21:00-22:15
Talk 07 - Inclusion-Exclusion Principle - Dhawal Patil - slides available here, handout
09 Dec '22, Fri, 21:00-22:00
Career Talk with Alumnus: Dr Mahesh Sunkula, Asst. Prof at Purdue University, USA.
14 Dec '22, Wed, 19:00-20:30
Alumnus Interaction Session - Mr Ranveer Kumar Singh, PhD Student at Rutgers Uni, USA.
08 Jan '23, Sun, 16:30-17:30
Open Hour
14 Jan '23, Sat, 15:00-18:00
Open Hour
20 Jan '23, Fri, 17:00-20:00
Open Hour
22 Jan '23, Sun, 17:00-20:00
Open Hour
15 Feb '23, Wed, 17:00-20:00
Talk 08 - Isometries - Raj Soni
16 Feb '23, Thurs, 18:30-20:00
Talk 09 - Understanding Objects: Seeing Math at Work - Saumya Jain
02 March '23, Thurs, 18:00-20:00
Open Hour
09 March '23, Thurs, 16:00-18:00
Talk 10 - Mathematical Visualization of Objects - Prerak Deep
16 Mar '23, Thu - 18:30-20:00
Talk 11 - Random Walks - Ankit Kumar
19 Mar '23, Sun - 18:30-20:00
Workshop on using LaTeX.
30 Mar '23, Thu - 11:00-12:30 and 17:00-18:30
04 Apr '23, Tue - 11:00-12:30 and 16:00-17:30
Lecture Notes
Talk 12 - K-Means Clustering - Harsha Vardhan
06 April '23, Thu - 18:30-20:00