Summer Seminar Series

Currenly ongoing Summer 2026

Summer 2026

Talks

• Himanshu Mall - Non linear Optics (Date: 13 Jun`26)
  Abstract  -  chi 2 and chi 3 behaviours in optical and Miller’s formula.
  (Slides - Video)

• Krishnakant Yadav  - Origin of Quantum Mechanics (Date: 07 Jun`26)
  Abstract  -  We will begin with a historical overview of quantum mechanics and then study the particle nature of radiation. This includes blackbody radiation and the energy distribution problem, along with the contributions of various scientists. We will then discuss the photoelectric effect, Compton effect, and pair production. Next, we will examine the wave nature of particles through de Broglie's hypothesis and its experimental verification. This includes the Davisson–Germer experiment and Thomson's experiment. Finally, if possible, we will discuss matter waves and their significance for microscopic objects.
  (Slides - Video)

Summer 2025

Talks

• Purnima Tiwari  - Abelian groups- the (un)building blocks (Date: 01 Jun`25)
  Abstract  -  The talk aims to shine light on the Fundamental Theorem of Finite Abelian Groups and the Fundamental Theorem of Finitely Generated Abelian Groups and discuss the similarities or relationship between the two theorems.
  (Slides - Video)

Summer 2024

Talks

• Aayush Verma  - The Relevance of Mathematics in Theoretical Physics (Date - 14 Jul `24)
  Abstract  -  This talk will be a semi-technical lecture on relevance of mathematics in theoretical physics.  In this talk, I will point out the dualities in math and physics and the precision of mathematical ability that helps us by drawing the history of discoveries in physics and mathematics. Some points include S-Duality, Mock-Theta function, Tau function, String theory,  Poincare's conjecture and so on. In the last, I hope to discuss the future directions.
  (Slides - Video)
  Note: This was the last talk in the Nexus Summer Seminar Series.

• Devang Bajpai  - Traceless Symmetric Tensor Approach to Legendre Polynomials and Spherical Harmonics II  (Date - 07 Jul`24)
  Abstract  -  In this talk I will provide a new mathematical tool i.e. traceless symmetric tensor approach through the help of Laplace Equation. And develop relationship between Symmetric Tensors and Spherical Harmonics. And in another talk I will show you how this approach will be more general in research field.
  (Slides - Video)

• Vaibhav Kalvakota  - The Definition of Holography  (Date - 30 Jun `24)
  Abstract  - In this talk, we will review the notion of holography in quantum gravity. We will discuss some subtleties around the definition of holography, and the implications of holography. In the first half, we will discuss some elementary aspects of (A)dS/CFT, some comparisons, and how certain technicalities complicate the general notion of holography as a bulk-(cutoff-)boundary duality. In the second half, we will discuss some aspects in more technical detail, especially in the direction of establishing holography mathematically.
  Suggested readings: This talk is based on arXiv:2404.00070 [hep-th].
  (Slides - Video)

• Krishnakant - A Walk through Linear Algebra II  (Date - 23 Jun `24)
  Abstract  -  In this, I will talk about some basics of linear algebra and its application in quantum mechanics.
  (Slides - Video)

• Devang Bajpai  - Traceless Symmetric Tensor Approach to Legendre Polynomials and Spherical Harmonics I  (Date - 16 Jun `24)
  Abstract  -  In this talk I will provide a new mathematical tool i.e. traceless symmetric tensor approach through the help of Laplace Equation. And develop relationship between Symmetric Tensors and Spherical Harmonics. And in another talk I will show you how this approach will be more general in research field.
  (Slides - Video)

• Krishnakant - A Walk through Linear Algebra  (Date - 09 Jun `24)
  Abstract  -  In this, I will talk about some basics of linear algebra and its application in quantum mechanics.
  (Slides)

• Aayush Verma - Origin of Monopoles  (Date - 02 Jun `24)
  Abstract  -  Monopoles are not observed in nature but they have played a crucial part in physics and mathematics. In this talk, I will review the origins of monopoles and will talk about their interesting connections with mathematics. If time permits, I will talk about the latest developments in this field.
  (Slides - Video)