Ritt Assistant Professor in the Department of Mathematics at Columbia University

Ph.D in Mathematics, DPMMS, Cambridge University, 2006.
M.S. in Physics, UCR, 2003
B.S. in Mathematics, UCR, 2002

What's new

Lectures at MSRI on my joint work with Mikhail Khovanov on categorification of quantum groups.

Research

I am interested in topological quantum field theory, homological algebra, and representation theory.
Right now I am working on categorification of quantum groups with Mikhail Khovanov.

I have also worked on the following topics:

• Combinatorics of cyclotomic quotients of categorified quantum groups with Alexander Hoffnung
• Crystals and categorified quantum groups with Monica Vazirani
• Open-closed Topological Quantum Field Theories and their application to Khovanov homology with Hendryk Pfeiffer
• 2-groups and higher gauge theory with John Baez
• Frobenius algebras, adjunctions, and planar TQFT
• n-Categories with Eugenia Cheng (see our book in progress Higher-Dimensional Categories: an illustrated guide book)

Talks

For a list of talks that I have given click here.

X-Y Pic tutorial

My mathematical papers tend to have lots of diagrams. I draw many of the diagrams using XY-pic. I have a tutorial that explains how I use XY-pic to make braids, cobordism, string diagrams, and many other diagrams. The format I use is less traditional than the format presented in the xy reference manual, but I hope that it is more intuitive.

Contact Details

For my contact details look for me on the Columbia faculty page. Or you can send me an email at lauda@math.columbia.edu