Susama Agarwala

Postdoctoral Scholar,
RTG 1670,
Department of Mathematics,
University of Hamburg

Research Interests:

I study renormalization theory from the point of view of combinatorial Hopf algebras. These Hopf algebras lead me to problems in many different fields, such as

Renormalization
Non-commutative geometry
Multiple polylogarithms
The Fundamental Lemma

I am happiest, however, when my problems are motivated by physics. I think about renormalization geometrically, and of field theories over curved space-time. I would love to learn about SYM N=4.

Here is a curriculum vitae and a full research statement.

Papers:

Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees (With C. Delaney) arXiv:1302.4004

Dynkin operators, renormalization and the geometric β function arXiv:1211.4466

Geometrically relating momentum cut-off and dimensional regularization International Journal of Geometric Methods in Mathematical Physics 10 (2013)

Dihedral symmetries of multiple polylogarithms arXiv:1112.1474 (2011)

The ß-function over curved space-time under operator regularization arXiv:0909.4122 (2009)

A perspective on renormalization Letters in Mathematical Physics 93 (2) pp. 187-201

The Geometry of Renormalization Ph.D. Thesis, Johns Hopkins, 2008.
Alternative Values for sin (2b) Measured from Electron/positron Collisions at Babar}. BS Thesis, Massachusetts Institute of Technology, 2001

Spins, Parity, Excitation Energies, and Octupole Structure of an Excited Superdeformed Band in $^194$Hg and Implications for Identical Bands. (with G. Hackman, T. L. Khoo, M. P. Carpenter, T. Lauritsen, A. Lopez-Martens, I. J. Calderin, R. V. F. Janssens, D. Ackermann, I. Ahmad, D. J. Blumenthal, S. M. Fischer, D. Nisius, P. Reiter, J. Young, H. Amro, E. F. Moore, F. Hannachi, A. Korichi, I. Y. Lee, A. O. Macchiavelli, T. Dossing, and T. Nakatsukasa) Phys. Rev. Lett. 79, 4100 - 4103 (1997).

``Reply'' (to the Comment by R. R. Chasman) (with G. Hackman, T. L. Khoo, M. P. Carpenter, T. Lauritsen, A. Lopez-Martens, I. J. Calderin, R. V. F. Janssens, D. Ackermann, I. Ahmad, D. J. Blumenthal, S. M. Fischer, D. Nisius, P. Reiter, J. Young, H. Amro, E. F. Moore, F. Hannachi, A. Korichi, I. Y. Lee, A. O. Macchiavelli, T. Dossing, and T. Nakatsukasa) Phys. Rev. Lett. 80, 4611 - 4611 (1998).