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
Alperen Ergur (Just successfully defended his dissertation! Off to postdoc at NC State, Raleigh!)
Emma Owusu Kwaakwah (Just successfully passed her Master's Exam! Off to Industrial Engineering Ph.D. program at UT Arlington!)
Kaitlyn Phillipson (Just successfully defended her dissertation! Off to tenure-track position at St. Edwards University, Austin!)
Former Students
Korben Rusek (Ph.D.
in Mathematics 5/2013; now starting a software company)
Rohun Kshirsagar (M.A. 2011)
Ashraf Ibrahim (Ph.D. in Mathematics 12/2009; now a consultant
at Bayer, Pittsburgh)
Swaminathan Sethuraman (Ph.D. in Mathematics, 5/2009; now at Credit Suisse)
Michael Muzheve (M.S., 2006; Ph.D. in Mathematics Education, 2008)
Theodoros Kyriopolos (M.S. in Mathematics, 12/2007)