Organization


Colloquia and such
Here are slides for several colloquia that I have given on my research in algebraic splines. Most of these have a significant amount of overlap, but not all. Here are slides for talks I have given on splines geared toward undergraduates. Again, there is a good amount of overlap between the presentations. Here are some notes for a talk I gave at Stillwater High School for their Math Symposium in February 2017.

Conferences and Workshops Attended
If I gave a talk, it appears indented below the conference in italics.
  • AMS-MAA Joint Mathematics Meetings (San Diego CA, January 2018)

    The Toric Ring of a Two-Borel Ideal is Koszul , Special Session on Combinatorial Commutative Algebra and Polytopes

  • AMS Sectional Meeting (Denton TX, September 2017)

    Freeness of multi-Coxeter arrangements of type A , Special Session on Algebraic Combinatorics of Flag Varieties

    Splines on planar semi-algebraic partitions , Special Session on Applicable and Computational Algebraic Geometry

  • SIAM Conference on Applied Algebraic Geometry (Atlanta GA, August 2017)

    Algebraic methods in spline theory , Minisymposium on Multivariate Splines and Algebraic Geometry

  • Stillman's Conjecture and other Progress in Free Resolutions: a workshop in honor of the 60th birthdays of Dave Bayer and Mike Stillman (Berkeley CA, July 2017)
  • CMO workshop on Ordinary and Symbolic Powers of Ideals (Oaxaca Mexico, May 2017)
  • AMS Sectional Meeting (Pullman WA, April 2017)

    Multi-derivations on the moduli of the X3 arrangement, Special Session on Combinatorial and Computational Commutative Algebra and Algebraic Geometry

  • University of Arkansas Spring Lecture Series: Geometry and the Equations Defining Projective Varieties (Fayetteville, AK March 2017)
  • 15th International Conference on Approximation Theory (San Antonio TX, May 2016)

    Splines on Tetrahedral Decompositions , Minisymposium on Approximation Theory and Algebraic Geometry

  • AMS Sectional Meeting (Chicago IL, October 2015)

    Generalized Splines and Graphic Multi-Arrangements , Special Session on Combinatorial and Computational Algebra

  • MFO Workshop on Multivariate Splines and Algebraic Geometry (Germany, April 2015)

    Piecewise Polynomials and Regularity

  • AMS-MAA Joint Mathematics Meetings (San Antonio TX, January 2015)

    Castelnuovo-Mumford Regularity of Mixed Spline Spaces, Session on Commutative Algebra

  • AMS Sectional Meeting (Lubbock TX, April 2014)

    Regularity of Planar Splines, Special Session on Commutative Algebra and Algebraic Geometry

  • KUMUNU jr. (Lincoln NE, April 2014)

    Regularity and Piecewise Polynomial Functions

  • Southwest Local Algebra Meeting (College Station TX, March 2014)

    Local Properties of Splines, Graduate Student Poster Session

  • AMS-MAA Joint Mathematics Meetings (Baltimore MD, January 2014)

    Lattice-Supported Splines on Polytopal Complexes, Special Session on Hyperplane Arrangements and Applications

  • SIAM Conference on Applied Algebraic Geometry (Fort Collins CO, August 2013)

    Lattice-Supported Bases for Polyhedral Splines, Session on Approximation Theory, Geometric Modelling, and Algebraic Geometry

  • 15th International Conference on Approximation Theory (San Antonio TX, May 2013)

    Bivariate Continuous Splines on Polyhedral Complexes , Minisymposium on Multivariate Splines

  • AMS Sectional Meeting (Tulane LA, October 2012)

    Shellability and Freeness of Continuous Splines, Special Session on Approximation Theory, Geometric Modelling, and Algebraic Geometry

  • MSRI Workshop on Combinatorial Commutative Algebra (San Francisco CA, December 2012)
  • IMA Summer School in Applied Algebraic Geometry at Georgia Tech (Atlanta GA, July-August 2012)
  • AMS-MAA Joint Mathematics Meetings (Washington DC, January 2009)

    Exploring Gassmann Triples, Undergraduate Student Poster Session ($100 prize)

Seminar Talks
  • Homological Obstructions to Freeness of Multi-Arrangements, Geometry Seminar at Texas A\& M University (College Station TX, October 2017)
  • Free Multi-Braid Arrangements and Resolutions, Algebra Seminar at University of Arkansas (Fayeteville AK, March 2017)
  • Multi-Derivations of Braid Arrangements, Combinatorics Seminar at University of Kansas (Lawrence KS, September 2016)
  • Semialgebraic Splines, Valley Geometry Seminar at University of Massachusetts (Amherst MA, March 2016)
  • Commutative Algebra meets Approximation Theory, Numerical Analysis Seminar at Oklahoma State University (Stillwater OK, November 2015)
  • Splines, Syzygies, and Freeness, Commutative Algebra Seminar at Oklahoma State University (Stillwater OK, September 2015)
  • Regularity of Planar Splines, Geometry Seminar at Texas A\& M University (College Station TX, September 2015)
  • Associated Primes of Complexes Arising in Approximation Theory, Commutative Algebra Seminar at University of Illinois Urbana-Champaign (Champaign IL, November 2014)
  • Castelnuovo-Mumford Regularity in Approximation Theory, Algebraic Geometry Seminar at University of Illinois Urbana-Champaign (Champaign IL, November 2014)
  • Hilbert's Sixteenth Problem, Discriminants, and Toric Varieties, Graduate Algebraic Geometry Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2014)
  • Regularity and Piecewise Polynomial Functions, Graduate Algebraic Geometry Seminar at University of Illinois Urbana-Champaign (Champaign IL, April 2014)
  • Revisiting Lehmer's Picturesque Exponential Sums, Graduate Number Theory Seminar at University of Illinois Urbana-Champaign (Champaign IL, October 2013)
  • Splines and Fat Points, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2013)
  • Bezout, Cayley-Bacharach, and Pascal, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2012)
  • Resolutions and Geometry, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, February 2012)
  • Splines on Polyhedral Complexes, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2011)
  • Lehmer's Picturesque Exponential Sums with a Twist (with Daniel Schultz), Number Theory Seminar at University of Illinois Urbana-Champaign (Champaign IL, February 2010)