Mathematics Lectures

Lecture notes from courses taught at the Institute of Mathematics & Applications, Bhubaneswar (2010-2012)

• Advanced algebra
• Algebraic geometry

Slides from select mathematics and physics lectures (2005-2012)

Research

• Introduction to quantum groups (2005)
• Motives and varieties from graphs I: Bloch-Esnault-Kreimer (2006)
• Motives and varieties from graphs II: chromatic polynomial and intersection number (2006)
• Renormalization Hopf algebra, multiple zeta values and mixed Tate motives (2006)
• Periods, geometry and arithmetic in quantum fields and strings (2010)
• Noncommutative geometry and quantum gravity: speculations (2010)
• Motivic geometry of Feynman amplitudes (2012)

For undergraduate and graduate students

• Polylogarithms: the classical, the modern and the avant-garde (2010)

General audience

• Building space (2007)
• Particle physics, cosmology and beyond Popper (2009)
• Complex systems and the markets: a mathematical physicist’s perspective (2011)