Other Research Projects and Grant Proposals
The grant proposals made available bellow are project descriptions
of essential research steps within my research program; their
implementation, while beneficial yet not mandatory for the
continuation of the research program, is a matter of time and $$
(collaboration support most welcome).
- NSF
- 2002 TQFTs on
generalized Cobordism categories: Project Summary, Project Description
- 2003, 2004 Cohomology
of Feynman graphs and L-infinity algebras: Project summary, Project description
- 2005 Geometry of grand
configuration spaces, cohomology of Feynman graphs and
Connes-Kreimer renormalization: Project summary, Project description
- 2006 Feynman Processes
and Information Dynamics: Project summary, Project Description
- 2007 Discrete
Homological Algebra Methods in Quantum Mathematical
Physics: Project Summary,
Project Description
- 2008 From The Formality
Theorem of Kontsevich and Connes-Kreimer Algebraic
Renormalization To a Theory of Path Integrals: Project Summary, Project
Description
- 2009 Gauge Theory on
Formal Manifolds: Summary,
Project Description
- 2010 None; I finally got it! Read "The Trouble
with Physics", by Lee Smolin and "The
Structure
of Scientific Revolutions" by Thomas Kuhn, and you'll
understand. I think that these are a must-read for any
program officer involved in funding decissions.
- 2012 On Prime Numbers
and Riemann Hypothesis: Summary,
Project description
- 2014 A study of the Riemann zeta zeros: Summary, Project description
- 2017 Mathematics: Periods, Feynman Integrals and Jacobi
Sums, Summary,
Project
description.
- 2017 Physics: An Exploration of Hopf Algebras and
Quantization Functors in
Modern Scattering Amplitude Techniques, joint proposal w.
Neal Christensen, Project
Description.
- ...
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