The Mathematics Undergraduate Seminar
(IV)

The Fourth Undergraduate Seminar Session

The fourth session continued our exploration of mathematics across disciplines, featuring topics from cosmology to machine learning to forensic accounting.

Speakers & Topics

• Mariami Lominashvili (2nd year PhDS) – Dark Energies and Accelerating Universe Explores why the universe's expansion speeds up, and how "dark energy" is modeled and tested using cosmological observations.
  

  Mariami Lominashvili explaining the FLRW Metric in cosmology

  

  Presenting the Copernican principle and universe homogeneity

  

  Interactive demonstration of the Newtonian limit in cosmology

  ‹ ›
• Tanya Goenka (1st year CS) – Runge–Kutta method for solving differential equations is used in neural networks Shows how numerical ODE solvers (like Runge–Kutta) connect to modern ML ideas such as Neural ODEs, improving stability and interpretability.
  

  Tanya Goenka presenting "Runge-Kutta method for solving differential equations"

  

  Exploring the importance of numerical solvers in Neural ODEs

  

  Breaking down the core idea behind Runge-Kutta methods

  ‹ ›
• Rakan Al-Khatib (1st year IEM) – Benford's law: how many false accounting reports are there in the world Uses digit-distribution patterns (Benford's law) to flag anomalies in financial data and discuss how it helps detect possible fraud.
  

  Rakan Al-Khatib presenting his experiment on leading digit distribution

  

  Exploring how Benford's Law applies to real-world data

  

  Tracing the historical discovery of Benford's Law from 1881 to 1938

  ‹ ›