You can find my research papers indexed by a full
list (including supplemental software) or classified (with overlaps)
by theme. The latter
description contains a bit of
peripheral discussion as to what my papers are about.
Find out more about
the Smalefest 2000 proceedings volume I co-edited with Felipe Cucker
by looking at item #26 on my paper's list.
Grants and Awards
John von Neumann Visiting Professor, Technische Universitat Munchen,
to deliver course on Algorithmic Fewnomial Theory, Oct-Nov, 2015.
``REU Site Grant: Undergraduate Research in the Mathematical Sciences
and their Applications,'' ($343,408, PIs J. Maurice Rojas and Anne Shiu),
NSF, DMS-1460766, 6/1/2015-5/31/2018.
``Sparse Polynomials, Complexity, and
Algorithms'', ($250,000, PI at Texas A&M U: Rojas) Collaborative Research
(with separately funded PIs Qi Cheng at U Oklahoma, Shuhong Gao at Clemson U,
and Daqing Wan at UC Irvine), NSF, CCF-1409020, 9/1/2014-8/31/2017.
``MCS: Randomization in Algorithmic Fewnomial Theory Over
Complete Fields,'' ($400,001, PI: Rojas, co-PIs: Martin Avendano, Scott
Zrebiec) Mathematics/Computer Science Interface Program, NSF,
DMS-0915245, 9/1/2009-8/31/2013.
``ASCR: Topology for Statistical Modeling of Petascale Data,'' (TAMU
amount $214,795, co-PI: Rojas, PI: P. Pebay of Sandia National Laboratories,
and other co-PIs from University of Utah), Advanced Scientific Computing
Research (Mathematics for Analysis of Petascale Data), Department of Energy,
DE-SC0002505, 9/1/2009-8/31/2012.
Wenner-Gren Foundation Visiting Researcher Grant (75000 Swedish
Kroner), to visit and work with Mikael Passare and Boris Shapiro at
Stockholm University, Sweden (awarded 12/2008, visit will be during
Mar.-Jun. 2009)
``TAGS (Texas Algebraic Geometry Seminar) 2009,'' ($8690, PI: Rojas,
co-PIs: J. M. Landsberg, Paulo Lima-Filho, Laura Matusevich, Frank Sottile),
conference proposal, NSF, DMS-0915235, 4/1/2009-3/31/2010
NSF CAREER Award: DMS-0349309: Complexity, Reality, and Rationality in
Large Nonlinear Equations Solving (9/1/04 - 8/31/09)
Robust Output Sensitive Algorithms for Subanalytic Geometry:
NSF Grant DMS-0211458 (jointly funded by the Computational Mathematics and
Algebra/Number Theory/Combinatorics programs), 2003-2005.
Degeneracy Detection for Curved Solids (co-PI with John Keyser): Incubation
grant DMS-0138446 from the NSF CARGO (Computational and Algorithmic
Representation of Geomtric Objects) program, 2002-2003.
College of Science Grant (Texas A&M University), 2001-2002
Complexity and Geometric Recognition (University Grants Council,
Hong Kong), 2000-2002
City U Grant (Co-investigator, with 10 other faculty from
the Mathematics and Computer Science Departments): Group Research in
Learning, Theory, and Applications
Joint France/Hong Kong PROCORE Grant (Co-PI with Ioannis Z. Emiris of
INRIA Sophia-Antipolis): Efficient Numeric and Symbolic Methods for Solving
Sparse Polynomial Systems and Their Applications in Economics, 2000-2001
Polyhedral Entropy and Random p-adic Varieties (University Grants Council,
Hong Kong), 1999-2001
Toric Geometric Methods for Large Real Solving (University Grants Council,
Hong Kong), 1998-2000
Algebra, Algorithms, and Applications (City University of Hong Kong),
1998-1999
Polyhedral Algorithms for Fast and Stable Equation Solving
(City University of Hong Kong), 1998-1999
National Science Foundation Mathematical Sciences Postdoctoral
Fellowship (1995-1998)
1992 SIAM Best Student Paper Award
Postdocs
Timo de Wolff
(Ph.D. 2013, Goethe U in Frankfurt), co-mentored with Frank Sottile.
Harlan Kadish (Ph.D.
2011, U Michigan), co-mentored with JM Landsberg; now at Ab Initio
Mounir Nisse (Ph.D. 2010,
University Pierre et Marie Curie, Paris 6), co-mentored with Frank Sottile
Martin Avendano (Ph.D. 2008, U Buenos Aires; now a tenured associate professor at University of
Zaragoza, Spain)
Scott Zrebiec (Ph.D.
2007, JHU; now a statistical project manager at Lexis-Nexis), co-mentored with
Emil Straube
Current Students
Ben Francisco,
Interdisciplinary Ph.D. student (Computer Science and Mathematics)