Explore mathematical games like Chomp, Sprout, the King’s Walk, Nim, and much more!

Abstract: The nonexistence of a solution to a generic algebraic equation of degree 5 (or higher than 5) as a finite combination of its coefficients using radicals and finite field operations is one of the first and the most important impossibility results in mathematics known as the Abel-Ruffini Theorem …

Abstract: In this talk, we will introduce the distributions. This will help to obtain solutions to certain differential equations. The space of distributions includes the well-known Dirac delta distribution, which is not a function.

Abstract: In this talk we will introduce different types of spatial data. A brief discussion on exploratory data analysis of a particular type of spatial data, named as geostatistical data, will be presented. A glimpse of spatial prediction for geostatistical data will be provided at the end.

Abstract: An interesting question surfaced (pun intended) in the 1800’s: What is the largest number of regions into which one can divide a given surface so that every two regions share a segment of frontier boundary? …

Abstract: Our first encounter with the natural numbers and integers was in primary school. We first learned to count and then gradually we learned addition, subtraction, multiplication etc. Let us forget about them for a moment …

Abstract: After a quick overview of the history of geometry, and an outline of the sub-fields of modern geometry, I shall give a crash course on the differential geometry of curves and surfaces. In particular, I hope to state Theorem Egregium, the Gauss-Bonnet theorem, and the Uniformisation theorem.

Abstract: The geometry of natural objects differs from that of ‘idealized’ objects that one studies in a geometry course. In this talk, I’ll first take a closer look at the concept of dimension of a geometrical object and will show that the dimension can be a fractional number …

Abstract: Let R be a Noetherian ring and I ⊂ R be an ideal. Let μ(-) denote the minimal number of generators. It is well known that there is a sequence of inequalities μ(I/I²) ≤ μ(I) ≤ μ(I/I²)+1 that are strict in general …

Abstract: Statistical depth functions were introduced to provide a center-outward ordering of the points in the ambient space with respect to a data or probability distribution on that space …

Abstract: In this expository talk, we discuss Aleksandrov’s question of whether the existence of a single conservative distance for a mapping implies that the mapping is an isometry.

Abstract: On finite dimensional space, the spectral theorem provides the classification for normal operators. Similar results do hold for normal operators on infinite dimensional Hilbert space as well …

In our second session of Student Talks, Rohan talks about the construction of an instructive example which he constructed to show the main defect in Riemann integration, while Safarul explores the concept of a triangular partition.

Abstract: Hidden beneath what has been advertised as a Hesse Derivative, I mostly want to share the invaluable insights I gained from my enriching internship experience at ETH …

Abstract: In this talk, I will introduce the basic definitions in graph theory and some of its applications in diverse fields of science …

In our first season of Student Talks, Abhilash talks about modelling hydrocarbon molecules using graph theory, while Abhisruta proves a result analogous to Dirichlet’s Approximation Theorem using transformations on lattice points.