Frank Sottile

	Frank Sottile
	Professor Department of Mathematics Texas A&M University College Station, TX 77843-3368
	Office: 303 Milner Telephone: 979.845.4169 FAX: 979-845-6028 Email: `sottile@math.tamu.edu` Schedules: Travel Weekly	Join the Banff Protocol

Littlewood-Richardson rule for flag varieties

Counter example to Shapiro conjecture for flags

Research interests: Algebraic combinatorics, real and computational algebraic geometry, applications of algebraic geometry, Hopf Algebras, Discrete and Computational Geometry. Collaborators

Publications and Preprints	MathSciNet Mathematics ArXiv
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Selected Professional Talks All Research Talks Other Talks

Curriculum Vitae Teaching

Mark your calendar

Mathematical methods for curves and surfaces, 26 June -- 1 July 2008,
Clifford Lectures at Tulane. Main speaker: Bernd Sturmfels on Tropical Geometry. 12-15 November 2008.
Oberwolfach seminar on "New trends in algorithms for real algebraic geometry", Mathematisches Forschungsinstitut Oberwolfach, 22--28 November 2009.

Papers and Preprints

Linear precision for toric surface patches, with Kristian Ranestad and Hans-Christian Graf von Bothmer. 25 pages. ArXiv.org/0806.3230.

General isotropic flags are general (for Grassmannian Schubert calculus), 3 pages. arXiV:math.AG/0801.2611

Betti number bounds for fewnomial hypersurfaces via stratified Morse theory, with Frédéric Bihan, 7 pages. arXiv:0801.2554.

Convex Hulls of Orbits and Orientations of a Moving Protein Domain, with Marco Longinetti and Luca Sgheri, 21 pages. ArXiV:0712.3777.

Galois groups of Schubert problems via homotopy computation, with Anton Leykin, 17 pages. ArXiV:0710.4607.

Talks
- Bounds for real solutions to equations from geometry, Discrete Structures in Geometry and Topology, ECM July 2008, abstract.
- Linear precision for parametric patches, Mathematical methods for curves and surfaces, 26 June 2008. abstract. text of talk
- Fewnomial bounds from Gale dual systems, Workshop on Effective Real Analytic Geometry, ICMS 6 May 2008, abstract.
- Khovanskii-Rolle continuation for real solutions, Geometry Seminar, Chambéry, 28 April 2008, abstract.
- Galois groups of Schubert problems via numerical homotopy computation, Colloquium, Centre for Applied Mathematics, Notre Dame University, 26 February 2008 abstract.

Advisees

Nickolas Hein, TAMU graduate student.

Christopher Hillar, NSF Postdoc.

Corey Irving, TAMU Graduate student.

Abraham Martin del Campo Sanchez, TAMU Graduate student.

Zach Teitler, TAMU Postdoc.

Other Professional Activities

Editorial Board, SIAM Journal on Discrete Mathematics.
NSF Individual Research grant, 1 September 2007 -- 31 August 2010. $202,895. DMS-0701050
Texas Advanced Research Projects grant 010366-0054-2007, "Algebraic Geometry in Algebraic Statistics and Geometric Modeling", 15 May 2008 -- 14 May 2010. $144,00. Co-PI with Professor Luis Garcia-Puente of Sam Houston State University Proposal.

Mathematical Software Links

Modified since: 16 May 2008.