Research

My research interests include fluid mechanics, partial differential equations, computational mathematics and the associated numerical analysis, oceanography, coastal engineering and mathematical economics. Most of my research has been done with a collection of excellent collaborators whose identity can be ascertained in the complete list of publications.



Applications of mathematics in economics, archaeology and biomedical science

• (In collaboration with M.S. Santos) On the structure of the equilibrium set of overlapping-generations economies (1989-5)
  
  
• (In collaboration with R. Nelson) Relative size and comparative value in Byzantine illuminated manuscripts: some quantitative perspectives. (1992-1)
  
  
• (In collaboration with M.S. Santos) On the role of computation in economic theory (1997-1)
  
  
• (In collaboration with J. Li) Stabilizing, Monetary Injection Policies (2001-3)
  
  
• (In collaboration with F. Vaince & H. M. Fathallah-Shaykh) Microarray data analysis: Current practices and future directions. (2006-5)
  
  
• (In collaboration with H. M. Fathallah-Shaykh) Approximation by cubic splines generates highly specific discovery by microarrays (2008-5)
  
  
• (In collaboration with H. Fathallah-Shaykh & S. Kadener) Mathematical model of the Drosophila circadian clock: loop and transcriptional integration. (2009-6)
  
  

Recent Collaborators

John Albert
Hongqiu Chen
Min Chen
Mimi Dai
Thierry Colin
Vassilios A. Dougalis
Hassan Fathallah-Shaykh
Thanasis Fokas
Zoran Grujic
Colette Guillope
Youngjoon Hong
Henryk Kalisch
Ohannes Karakashian
Barbara Karakiewicz
David Lannes
Jenny Li
Felipe Linares
Yue Liu
Dimitri Mitsotakis
David Nicholls
Jaime Angulo Pava
Gustavo Ponce
Juan Restrepo
Wojtek Romanczyk
Manuel Santos
Jean-Claude Saut
Marcia Scialom
Christof Sparber
Shuming Sun
Michael Tom
Nikolay Tzvetkov
Ed Thornton
Vladimir Varlamov
Ed Vrscay
Fred Weissler
Jiahong Wu
Bing-Yu Zhang

Related Links
AAAS
AMS
AWM
MAA
MER
SIAM