Joe Kileel

Joe Kileel     (CV)

Department of Mathematics
University of California, Berkeley
California, USA 94720
Office: 775 Evans
Email: jkileel@math.berkeley.edu

I am a fifth year mathematics graduate student at UC Berkeley.  I am very fortunate to have been advised by Bernd Sturmfels.

Starting in Fall 2017, I will be a Simons Algorithms and Geometry postdoc at Princeton University.   My mentor is Amit Singer.


My Dissertation: Algebraic Geometry for Computer Vision, awarded the Friedman Memorial Prize in Applied Mathematics.

Publications

  • Numerical Implicitization for Macaulay2 (with J. Chen), submitted to Journal of Software for Algebra and Geometry.   (Code)

  • Distortion Varieties (with Z. Kukelova, T. Pajdla and B. Sturmfels), Foundations of Computational Mathematics, to appear.   (Slides)

  • A Clever Elimination Strategy for Efficient Minimal Solvers (Z. Kukelova, J. Kileel, B. Sturmfels and T. Pajdla), IEEE Conference on Computer Vision and Pattern Recognition 2017, to appear.

  • Minimal Problems for the Calibrated Trifocal Variety, SIAM Journal on Applied Algebra and Geometry, to appear.   (Slides)   (Instances)

  • The Chow Form of the Essential Variety in Computer Vision (with G. Fl√łystad and G. Ottaviani), Journal of Symbolic Computation, to appear.   (Slides)   (Formulas)

  • Rigid Multiview Varieties (with M. Joswig, B. Sturmfels and A. Wagner), International Journal of Algebra and Computation 26 (2016) 775-788.  (Slides)   (Poster)

  • Hadamard Products of Linear Spaces (with C. Bocci and E. Carlini), Journal of Algebra 448 (2016) 595-617.  (Poster)


    Teaching

    Spring 2016:  Math 16B (Analytic Geometry and Calculus) sections 112 and 115, with Dr. Coward.
    Fall 2015:  Math 10A (Methods of Mathematics) sections 209 and 213, with Prof. Bamler.
    Spring 2015:  Math 10B (Methods of Mathematics) sections 106 and 107, with Prof. Sturmfels.
    Fall 2014:  Math 1A (Calculus) sections 305 and 309, with Prof. Hald.


    Travel

    August 2017:  SIAM Algebraic Geometry Conference (GeorgiaTech)
    July 2017:  Minicourse on Algebraic Vision (Tübingen)
    June - July 2017:  Center for Machine Perception, Czech Technical University in Prague
    May 2017:  A View Toward Algebraic Geometry, Eisenbud Birthday Conference (Martha's Vineyard)
    April 2017:  AMS Special Session (Washington State)
    April 2017:  Experimental Mathematics Seminar (Rutgers)
    March, April 2017:  Simons Collaboration Meetings on Algorithms and Geometry (New York)
    February 2017:   Mathematics Department Colloquium (Saskatchewan)
    October - December 2016:  Max Planck Institute for Mathematics in the Sciences (Leipzig)
    November 2016:  Algebraic Geometry Seminar (Chemnitz)
    November 2016:  Diskrete Mathematik, Geometrie und Optimierung Seminar (Frankfurt)
    November 2016:   AMS Special Session (NCSU)
    October 2016:  Computing & Mathematical Sciences Seminar (Caltech)
    October 2016:  Czech Workshop on Applied Mathematics in Engineering (Prague)
    September 2016:   Algebra Seminar (GeorgiaTech)
    May - September 2016:   Laboratory for Analysis and Architecture of Systems (Toulouse)
    May 2016:  Workshop on Software and Applications of Numerical Algebraic Geometry (Notre Dame)
    May 2016:  AIM Workshop on Algebraic Vision (San Jose)
    April 2016:  Applied Algebra Days 3 (Madison)
    April 2016:  Algebraic Geometry Seminar (UChicago)
    April 2016:  AMS Special Session (Utah)
    January 2016:  Joint Mathematics Meetings (Seattle)
    October 2015:  Western Algebraic Geometry Symposium (Seattle)
    October 2015:  London Algebra Colloquium (Queen Mary)
    October 2015:  Algebraic Vision (TU Berlin)
    August 2015:  SIAM Algebraic Geometry Conference (Daejeon)
    June 2015:  Effective Methods in Algebraic Geometry (Trento)
    May 2015:  Workshop on Nonlinear Algebra (Berlin)
    May 2015:  Tropical Doener Workshop (FU Berlin)
    May 2015:  Department of Mathematics, University of Oslo
    October 2014:  Western Algebraic Geometry Symposium (Idaho)
    July - August 2014:  Modern Applications of Representation Theory (UChicago)
    June 2014:  Macaulay2 Summer School and Conference (UIUC)
    June 2014:  Computational Nonlinear Algebra (ICERM)